"BEAMANAL" Program

Doc"BEAMANAL" --- SINGLE-SPAN and CONTINUOUS-SPAN BEAM ANALYSISProgram Description:"BEAMANAL" is a spreadsheet program written in MS-Excel for the purpose of analysis of either single-span orcontinuous-span beams subjected to virtually any type of loading configuration. Four (4) types of single-span beamsand two (2) through (5) span, continuous-span beams, considered. Specifically, beam end reactions as well as themaximum moments and deflections are calculated. Plots of both the shear and moment diagrams are produced,as well as a tabulation of the shear, moment, slope, and deflection for the beam or each individual span. Also, forsteel single-span beams an AISC 9th Edition (ASD) Code check can be performed for X-axis bending and shear.This program is a workbook consisting of four (4) worksheets, described as follows:Worksheet NameDescriptionDocThis documentation sheetSingle-Span BeamSingle-span beam analysis for simple, propped, fixed, & cantilever beamsSingle-Span Beam & Code CheckSingle-span beam analysis and AISC Code Check for X-axis bendingContinuous-Span BeamContinuous-span beam analysis for 2 through 5 span beamsProgram Assumptions and Limitations:1. The following reference was used in the development of this program (see below):"Modern Formulas for Statics and Dynamics, A Stress-and-Strain Approach"by Walter D. Pilkey and Pin Yu Chang, McGraw-Hill Book Company (1978), pages 11 to 21.2. This program uses the three (3) following assumptions as a basis for analysis:a. Beams must be of constant cross section (E and I are constant for entire span length).b. Deflections must not significantly alter the geometry of the problem.c. Stress must remain within the "elastic" region.3. On the beam or each individual span, this program will handle a full length uniform load and up to eight (8) partialuniform, triangular, or trapezoidal loads, up to fifteen (15) point loads, and up to four (4) applied moments.4. For single-span beams, this program always assumes a particular orientation for two (2) of the the four (4)different types. Specifically, the fixed end of either a "propped" or "cantilever" beam is always assumed to be onthe right end of the beam.5. This program will calculate the beam end vertical reactions and moment reactions (if applicable),the maximum positive moment and negative moment (if applicable), and the maximum negative deflectionand positive deflection (if applicable). The calculated values for the end reactions and maximum momentsand deflections are determined from dividing the beam into fifty (50) equal segments with fifty-one (51) points,and including all of the point load and applied moment locations as well. (Note: the actual point of maximummoment occurs where the shear = 0, or passes through zero, while the actual point of maximum deflection iswhere the slope = 0.)6. The user is given the ability to input two (2) specific locations from the left end of the beam to calculate theshear, moment, slope, and deflection.7. The user is also given the ability to select an AISC W, S, C, MC, or HSS (rectangular tube) shape to aide inobtaining the X-axis moment of inertia for input for the purely analysis worksheets.8. The plots of the shear and moment diagrams as well as the displayed tabulation of shear, moment, slope,and deflection are based on the beam (or each individual span) being divided up into fifty (50) equal segmentswith fifty-one (51) points.9. For continuous-span beam of from two (2) through five (5) spans, this program utilizes the "Three-MomentEquation Theory" and solves a system simultaneous equations to determine the support moments10. This program contains numerous comment boxes which contain a wide variety of information includingexplanations of input or output items, equations used, data tables, etc. (Note: presence of a comment boxis denoted by a red triangle in the upper right-hand corner of a cell. Merely move the mouse pointer to thedesired cell to view the contents of that particular "comment box".)Formulas Used to Determine Shear, Moment, Slope, and Deflection in Single-Span BeamsFor Uniform or Distributed Loads:Loading functions for each uniform or distributed load evaluated at distance x = L from left end of beam:FvL =-wb*(L-b-(L-e)) + -1/2*(we-wb)/(e-b)*((L-b)^2-(L-e)^2)+(we-wb)*(L-e)FmL =-wb/2*((L-b)^2-(L-e)^2) + -1/6*(we-wb)/(e-b)*((L-b)^3-(L-e)^3)+(we-wb)/2*(L-e)^2FqL =-wb/(6*E*I)*((L-b)^3-(L-e)^3) + -1/(24*E*I)*(we-wb)/(e-b)*((L-b)^4-(L-e)^4)+(we-wb)/(6*E*I)*(L-e)^3FDL =-wb/(24*E*I)*((L-b)^4-(L-e)^4) + -1/(120*E*I)*(we-wb)/(e-b)*((L-b)^5-(L-e)^5)+(we-wb)/(24*E*I)*(L-e)^4Loading functions for each uniform or distributed load evaluated at distance = x from left end of beam:If x >= e:Fvx =-wb*(x-b-(x-e)) + -1/2*(we-wb)/(e-b)*((x-b)^2-(x-e)^2)+(we-wb)*(x-e)Fmx =-wb/2*((x-b)^2-(x-e)^2) + -1/6*(we-wb)/(e-b)*((x-b)^3-(x-e)^3)+(we-wb)/2*(x-e)^2Fqx =-wb/(6*E*I)*((x-b)^3-(x-e)^3) + -1/(24*E*I)*(we-wb)/(e-b)*((x-b)^4-(x-e)^4)+(we-wb)/(6*E*I)*(x-e)^3FDx =-wb/(24*E*I)*((x-b)^4-(x-e)^4) + -1/(120*E*I)*(we-wb)/(e-b)*((x-b)^5-(x-e)^5)+(we-wb)/(24*E*I)*(x-e)^4else if x >= b:Fvx =-wb*(x-b) + -1/2*(we-wb)/(e-b)*(x-b)^2else:Fvx =0Fmx =-wb/2*(x-b)^2 + -1/6*(we-wb)/(e-b)*(x-b)^3-(x-e)^3else:Fmx =0Fqx =-wb/(6*E*I)*(x-b)^3 + -1/(24*E*I)*(we-wb)/(e-b)*(x-b)^4else:Fqx =0FDx =-wb/(24*E*I)*(x-b)^4 + -1/(120*E*I)*(we-wb)/(e-b)*(x-b)^5else:FDx =0For Point Loads:Loading functions for each point load evaluated at distance x = L from left end of beam:FvL =-PFmL =-P*(L-a)FqL =-P*(L-a)^2/(2*E*I)FDL =P*(L-a)^3/(6*E*I)Loading functions for each point load evaluated at distance = x from left end of beam:If x > a:Fvx =-Pelse:Fvx =0Fmx =-P*(x-a)else:Fmx =0Fqx =-P*(x-a)^2/(2*E*I)else:Fqx =0FDx =P*(x-a)^3/(6*E*I)else:FDx =0For Applied Moments:Loading functions for each applied moment evaluated at distance x = L from left end of beam:FvL =0FmL =-MFqL =-M*(L-c)/(E*I)FDL =M*(L-c)^2/(2*E*I)Loading functions for each applied moment evaluated at distance = x from left end of beam:If x >= c:Fvx =0else:Fvx =0Fmx =-Melse:Fmx =0Fqx =-M*(x-c)/(E*I)else:Fqx =0FDx =M*(x-c)^2/(2*E*I)else:FDx =0(continued)Formulas Used to Determine Shear, Moment, Slope, and Deflection (continued)Initial summation values at left end (x = 0) for shear, moment, slope, and deflection:Simple beam:Vo =-1/L*S(FmL)Mo =0qo =1/L*S(FDL)+L/(6*E*I)*S(FmL)Do =0Propped beam:Vo =-3*E*I/L^3*S(FDL)-3*E*I/L^2*S(FqL)Mo =0qo =3/(2*L)*S(FDL)+1/2*S(FqL)Do =0Fixed beam:Vo =-12*E*I/L^3*S(FDL)-6*E*I/L^2*S(FqL)Mo =6*E*I/L^2*S(FDL)+2*E*I/L*S(FqL)qo =0Do =0Cantilever beam:Vo =0Mo =0qo =-S(FqL)Do =-S(FDL)-L*S(FqL)Summations of shear, moment, slope, and deflection at distance = x from left end of beam:Shear:Vx =Vo+S(Fvx)Moment:Mx =Mo+Vo*x+S(Fmx)Slope:qx =qo+Mo*x/(E*I)+Vo*x^2/(2*E*I)+S(Fqx)Deflection:Dx =-(Do-qo*x-Mo*x^2/(2*E*I)-Vo*x^3/(6*E*I)+S(FDx)Reference:"Modern Formulas for Statics and Dynamics, A Stress-and-Strain Approach"by Walter D. Pilkey and Pin Yu Chang, McGraw-Hill Book Company (1978)"Three-Moment Theory" Used for Continuous-Span Beam Analysis:The "Three-Moment" Equation is valid for any two (2) consecutive spans as follows:Ma*L1/I1+2*(Mb)*(L1/I1+L2/I2)+Mc*L2/I2= -6*(FEMab*L1/(6*I1)+FEMba*L1/(3*I1))-6*(FEMbc*L2/(3*I2)+FEMcb*L2/(6*I2))=-(FEMab+2*FEMba)*L1/I1-2*(FEMbc+FEMcb)*L2/I2where:Ma = internal moment at left supportMb = internal moment at center supportMc = internal moment at right supportL1 = length of left spanI1 = moment of inertia for left spanL2 = length of right spanI2 = moment of inertia for right spanFEMab = total Fixed-End-Moment for left end of left spanFEMba = total Fixed-End-Moment for right end of left spanFEMbc = total Fixed-End-Moment for left end of right spanFEMcb = total Fixed-End-Moment for right end of right spanN = actual number of beam spansNote:"Dummy" spans are used to model the left end and right end support conditions for the beam. A pinnedend is modeled as a very flexible span (very long length and very small inertia). A fixed end is modeledas a very stiff span (very short length and very large inertia). Thus, the theoretical number of spans usedis = N + 2.By writing an equation for each pair of consecutive spans and introducing the known values (usually zero)of end moments, a system of (N+1) x (N+1) simultaneous equations can be set up to solve for theunknown support moments.Reference:AISC Manual of Steel Construction - Allowable Stress Design (ASD) - 9th Edition (1989), page 2-294

Single-Span BeamSINGLE-SPAN BEAM ANALYSISCALCULATIONS:Version 2.3For Simple, Propped, Fixed, or Cantilever BeamsFor Full Uniform Load, wFor Distributed Load #1For Distributed Load #2For Distributed Load #3For Distributed Load #4For Distributed Load #5For Distributed Load #6For Distributed Load #7For Distributed Load #8For All 15 Point LoadsFor All 4 Applied MomentsSummations of Loading Functions for All LoadsInitial Beam Parameters at Left EndShear, Moment, Slope, & Deflection @ xDist. fromCorrections for P Loads at Supports:Job Name:Subject:Loading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xFor Loading Functions Evaluated at x = LFor Loading Functions Evaluated at xwith Loading Functions Evaluated at x = LVxMxqxDxLeft EndS Reaction forS Reaction forCaution: User should make sure toJob Number:Originator:Checker:Points:FvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxSFvLSFmLSFqLSFDLSFvxSFmxSFqxSFDxVoMoqoDo(kips)(ft-kips)(deg.)(in.)x (ft.)Index:P Loads withP Loads withClear Contents of all input1-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.50000.0000-0.3759420.0000000.00001Dist. a = 0Dist. a = Lcells not being used.Input Data:c2-1.0000-10.0000-0.0000060.000029-0.0200-0.0040-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.0200-0.0040-0.00000.000010.50000.0000-0.0000460.00000010.48004.1960-0.375331-0.0314780.400020.000.00P1e3-1.0000-10.0000-0.0000060.000029-0.0400-0.0160-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.0400-0.0160-0.00000.000010.50000.0000-0.0000460.00000010.46008.3840-0.373500-0.0628530.800030.000.00P2Beam Data:Simple Beamb4-1.0000-10.0000-0.0000060.000029-0.0600-0.0360-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.0600-0.0360-0.00000.000010.50000.0000-0.0000460.00000010.440012.5640-0.370452-0.0940241.200040.000.00P3Steel Beam:Span Type?Simplea5-1.0000-10.0000-0.0000060.000029-0.0800-0.0640-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.0800-0.0640-0.00000.000010.50000.0000-0.0000460.00000010.420016.7360-0.366187-0.1248891.600050.000.00P4Size:W12x50Span, L =20.0000ft.Propped Beam+P+M +we6-1.0000-10.0000-0.0000060.000029-0.1000-0.1000-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1000-0.1000-0.00000.000010.50000.0000-0.0000460.00000010.400020.9000-0.360710-0.1553462.000060.000.00P5Ix =391.00in.^4Modulus, E =29000ksi+wb7-1.0000-10.0000-0.0000060.000029-0.1200-0.1440-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1200-0.1440-0.00000.000010.50000.0000-0.0000460.00000010.380025.0560-0.354022-0.1852932.400070.000.00P6Iy =56.30in.^4Inertia, I =391.00in.^4Fixed Beam+w8-1.0000-10.0000-0.0000060.000029-0.1400-0.1960-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1400-0.1960-0.00000.000010.50000.0000-0.0000460.00000010.360029.2040-0.346126-0.2146292.800080.000.00P7E,IL9-1.0000-10.0000-0.0000060.000029-0.1600-0.2560-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1600-0.2560-0.00000.000010.50000.0000-0.0000460.00000010.340033.3440-0.337023-0.2432533.200090.000.00P8User Designated Points:Beam Loadings:Cantilever BeamRLxRR10-1.0000-10.0000-0.0000060.000029-0.1800-0.3240-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1800-0.3240-0.00000.000010.50000.0000-0.0000460.00000010.320037.4760-0.326717-0.2710643.6000100.000.00P9x1 =0.0000ft.0Full Uniform:Nomenclature11-1.0000-10.0000-0.0000060.000029-0.2000-0.4000-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2000-0.4000-0.00000.000010.50000.0000-0.0000460.00000010.300041.6000-0.315209-0.2979624.0000110.000.00P10x2 =0.0000ft.0w =0.0500kips/ft.12-1.0000-10.0000-0.0000060.000029-0.2200-0.4840-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2200-0.4840-0.00000.000010.50000.0000-0.0000460.00000010.280045.7160-0.302502-0.3238454.4000120.000.00P110StartEndResults:13-1.0000-10.0000-0.0000060.000029-0.2400-0.5760-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2400-0.5760-0.00000.000010.50000.0000-0.0000460.00000010.260049.8240-0.288598-0.3486134.8000130.000.00P12Results for User Designated Points:Distributed:b (ft.)wb (kips/ft.)e (ft.)we (kips/ft.)Reactions:14-1.0000-10.0000-0.0000060.000029-0.2600-0.6760-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2600-0.6760-0.00000.000010.50000.0000-0.0000460.00000010.240053.9240-0.273500-0.3721665.2000140.000.00P13For x1:#1:RL =10.50 kRR =10.50 k15-1.0000-10.0000-0.0000060.000029-0.2800-0.7840-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2800-0.7840-0.00000.000010.50000.0000-0.0000460.00000010.220058.0160-0.257210-0.3944055.6000150.000.00P14Vx1 =10.50kips#2:ML =N.A.MR =N.A.16-1.0000-10.0000-0.0000060.000029-0.3000-0.9000-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3000-0.9000-0.00000.000010.50000.0000-0.0000460.00000010.200062.1000-0.239730-0.4152296.0000160.000.00P15Mx1 =-0.00ft-kips#3:Maximum Moments:17-1.0000-10.0000-0.0000060.000029-0.3200-1.0240-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3200-1.0240-0.00000.000010.50000.0000-0.0000460.00000010.180066.1760-0.221062-0.4345396.4000170.000.00S Pqx1 =-0.3759deg.#4:+M(max) =102.50 ft-k@ x =1018-1.0000-10.0000-0.0000060.000029-0.3400-1.1560-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3400-1.1560-0.00000.000010.50000.0000-0.0000460.00000010.160070.2440-0.201209-0.4522356.800018Vx Correction:Vx Correction:Dx1 =0.0000in.#5:-M(max) =-0.00 ft-k@ x =019-1.0000-10.0000-0.0000060.000029-0.3600-1.2960-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3600-1.2960-0.00000.000010.50000.0000-0.0000460.00000010.140074.3040-0.180174-0.4682197.20001900#6:Maximum Deflections:20-1.0000-10.0000-0.0000060.000029-0.3800-1.4440-0.0000000.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3800-1.4440-0.00000.000010.50000.0000-0.0000460.00000010.120078.3560-0.157957-0.4823917.600020For x2:#7:-D(max) =-0.5238557192@ x =1021-1.0000-10.0000-0.0000060.000029-0.4000-1.6000-0.0000000.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4000-1.6000-0.00000.000010.50000.0000-0.0000460.00000010.100082.4000-0.134563-0.4946528.000021Vx2 =10.50kips#8:+D(max) =0.0000000001@ x =022-1.0000-10.0000-0.0000060.000029-0.4200-1.7640-0.0000000.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4200-1.7640-0.00000.000010.50000.0000-0.0000460.00000010.080086.4360-0.109993-0.5049048.400022Mx2 =-0.00ft-kipsD(ratio) =L/45823-1.0000-10.0000-0.0000060.000029-0.4400-1.9360-0.0000010.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4400-1.9360-0.00000.000010.50000.0000-0.0000460.00000010.060090.4640-0.084249-0.5130498.800023qx2 =-0.3759deg.Point Loads:a (ft.)P (kips)24-1.0000-10.0000-0.0000060.000029-0.4600-2.1160-0.0000010.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4600-2.1160-0.00000.000010.50000.0000-0.0000460.00000010.040094.4840-0.057334-0.5189879.200024Dx2 =0.0000in.#1:10.000020.0025-1.0000-10.0000-0.0000060.000029-0.4800-2.3040-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4800-2.3040-0.00000.000010.50000.0000-0.0000460.00000010.020098.4960-0.029250-0.5226229.600025#2:26-1.0000-10.0000-0.0000060.000029-0.5000-2.5000-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.5000-2.5000-0.00000.000010.50000.0000-0.0000460.00000010.0000102.50000.000000-0.52385610.000026#3:27-1.0000-10.0000-0.0000060.000029-0.5200-2.7040-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-8.0000-0.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5200-10.7040-0.00000.000010.50000.0000-0.0000460.000000-10.020098.49600.029250-0.52262210.400027#4:28-1.0000-10.0000-0.0000060.000029-0.5400-2.9160-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-16.0000-0.0000010.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5400-18.9160-0.00000.000010.50000.0000-0.0000460.000000-10.040094.48400.057334-0.51898710.800028#5:29-1.0000-10.0000-0.0000060.000029-0.5600-3.1360-0.0000010.000003-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-24.0000-0.0000010.0000010.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5600-27.1360-0.00000.000010.50000.0000-0.0000460.000000-10.060090.46400.084249-0.51304911.200029#6:30-1.0000-10.0000-0.0000060.000029-0.5800-3.3640-0.0000010.000003-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-32.0000-0.0000020.0000010.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5800-35.3640-0.00000.000010.50000.0000-0.0000460.000000-10.080086.43600.109993-0.50490411.600030#7:31-1.0000-10.0000-0.0000060.000029-0.6000-3.6000-0.0000010.000004-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-40.0000-0.0000040.0000020.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6000-43.6000-0.00000.000010.50000.0000-0.0000460.000000-10.100082.40000.134563-0.49465212.000031#8:32-1.0000-10.0000-0.0000060.000029-0.6200-3.8440-0.0000010.000004-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-48.0000-0.0000050.0000040.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6200-51.8440-0.00000.000010.50000.0000-0.0000460.000000-10.120078.35600.157957-0.48239112.400032#9:33-1.0000-10.0000-0.0000060.000029-0.6400-4.0960-0.0000020.000005-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-56.0000-0.0000070.0000060.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6400-60.0960-0.00000.000010.50000.0000-0.0000460.000000-10.140074.30400.180174-0.46821912.800033#10:34-1.0000-10.0000-0.0000060.000029-0.6600-4.3560-0.0000020.000006-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-64.0000-0.0000090.0000100.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6600-68.3560-0.00000.000010.50000.0000-0.0000460.000000-10.160070.24400.201209-0.45223513.200034#11:35-1.0000-10.0000-0.0000060.000029-0.6800-4.6240-0.0000020.000006-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-72.0000-0.0000110.0000140.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6800-76.6240-0.00000.000010.50000.0000-0.0000460.000000-10.180066.17600.221062-0.43453913.600035#12:36-1.0000-10.0000-0.0000060.000029-0.7000-4.9000-0.0000020.000007-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-80.0000-0.0000140.0000190.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.7000-84.9000-0.00000.000010.50000.0000-0.0000460.000000-10.200062.10000.239730-0.41522914.000036#13:37-1.0000-10.0000-0.0000060.000029-0.7200-5.1840-0.0000020.000008-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-88.0000-0.0000170.0000250.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.7200-93.1840-0.00000.000010.50000.0000-0.0000460.000000-10.220058.01600.257210-0.39440514.400037#14:38-1.0000-10.0000-0.0000060.000029-0.7400-5.4760-0.0000020.000009-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-96.0000-0.0000200.0000330.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.7400-101.4760-0.00000.000010.50000.0000-0.0000460.000000-10.240053.92400.273500-0.37216614.800038#15:39-1.0000-10.0000-0.0000060.000029-0.7600-5.7760-0.0000030.000010-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-104.0000-0.0000240.0000410.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.7600-109.7760-0.00000.000110.50000.0000-0.0000460.000000-10.260049.82400.288598-0.34861315.20003940-1.0000-10.0000-0.0000060.000029-0.7800-6.0840-0.0000030.000011-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-112.0000-0.0000280.0000520.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.7800-118.0840-0.00000.000110.50000.0000-0.0000460.000000-10.280045.71600.302502-0.32384515.600040Moments:c (ft.)M (ft-kips)41-1.0000-10.0000-0.0000060.000029-0.8000-6.4000-0.0000030.000012-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-120.0000-0.0000320.0000630.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.8000-126.4000-0.00000.000110.50000.0000-0.0000460.000000-10.300041.60000.315209-0.29796216.000041#1:42-1.0000-10.0000-0.0000060.000029-0.8200-6.7240-0.0000030.000013-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-128.0000-0.0000360.0000770.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.8200-134.7240-0.00000.000110.50000.0000-0.0000460.000000-10.320037.47600.326717-0.27106416.400042#2:43-1.0000-10.0000-0.0000060.000029-0.8400-7.0560-0.0000030.000015-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-136.0000-0.0000410.0000920.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.8400-143.0560-0.00000.000110.50000.0000-0.0000460.000000-10.340033.34400.337023-0.24325316.800043#3:44-1.0000-10.0000-0.0000060.000029-0.8600-7.3960-0.0000040.000016-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-144.0000-0.0000460.0001100.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.8600-151.3960-0.00000.000110.50000.0000-0.0000460.000000-10.360029.20400.346126-0.21462917.200044#4:45-1.0000-10.0000-0.0000060.000029-0.8800-7.7440-0.0000040.000018-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-152.0000-0.0000510.0001290.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.8800-159.7440-0.00010.000110.50000.0000-0.0000460.000000-10.380025.05600.354022-0.18529317.60004546-1.0000-10.0000-0.0000060.000029-0.9000-8.1000-0.0000040.000019-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-160.0000-0.0000560.0001510.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.9000-168.1000-0.00010.000210.50000.0000-0.0000460.000000-10.400020.90000.360710-0.15534618.00004647-1.0000-10.0000-0.0000060.000029-0.9200-8.4640-0.0000050.000021-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-168.0000-0.0000620.0001740.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.9200-176.4640-0.00010.000210.50000.0000-0.0000460.000000-10.420016.73600.366187-0.12488918.400047Tabulation of Single-Span Beam Shear, Moment, Slope, and Deflection for 50 Equal Segments48-1.0000-10.0000-0.0000060.000029-0.9400-8.8360-0.0000050.000023-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-176.0000-0.0000680.0002000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.9400-184.8360-0.00010.000210.50000.0000-0.0000460.000000-10.440012.56400.370452-0.09402418.800048Point #x (ft.)Shear (k)Moment (ft-k)Slope or Rotation (deg.)Deflection (in.)49-1.0000-10.0000-0.0000060.000029-0.9600-9.2160-0.0000050.000025-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-184.0000-0.0000750.0002290.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.9600-193.2160-0.00010.000310.50000.0000-0.0000460.000000-10.46008.38400.373500-0.06285319.20004910.000010.500.00-0.37590.000050-1.0000-10.0000-0.0000060.000029-0.9800-9.6040-0.0000060.000027-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-192.0000-0.0000810.0002600.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.9800-201.6040-0.00010.000310.50000.0000-0.0000460.000000-10.48004.19600.375331-0.03147819.60005020.400010.484.20-0.3753-0.031551-1.0000-10.0000-0.0000060.000029-1.0000-10.0000-0.0000060.000029-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-21.0000-210.0000-0.00010.000310.50000.0000-0.0000460.000000-10.5000-0.00000.3759420.00000020.00005130.800010.468.38-0.3735-0.0629User x1-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.00005241.200010.4412.56-0.3705-0.0940User x2-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.00005351.600010.4216.74-0.3662-0.1249x=a1 for P1-1.0000-10.0000-0.0000060.000029-0.5000-2.5000-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.5000-2.5000-0.00000.000010.50000.0000-0.0000460.00000010.0000102.5000-0.000000-0.52385610.00005462.000010.4020.90-0.3607-0.1553x=a2 for P2-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.00005572.400010.3825.06-0.3540-0.1853x=a3 for P3-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.00005682.800010.3629.20-0.3461-0.2146x=a4 for P4-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.00005793.200010.3433.34-0.3370-0.2433x=a5 for P5-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000058103.600010.3237.48-0.3267-0.2711x=a6 for P6-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000059114.000010.3041.60-0.3152-0.2980x=a7 for P7-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000060124.400010.2845.72-0.3025-0.3238x=a8 for P8-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000061134.800010.2649.82-0.2886-0.3486x=a9 for P9-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000062145.200010.2453.92-0.2735-0.3722x=a10 for P10-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000063155.600010.2258.02-0.2572-0.3944x=a11 for P11-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000064166.000010.2062.10-0.2397-0.4152x=a12 for P12-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000065176.400010.1866.18-0.2211-0.4345x=a13 for P13-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000066186.800010.1670.24-0.2012-0.4522x=a14 for P14-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000067197.200010.1474.30-0.1802-0.4682x=a15 for P15-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.5000-0.0000-0.3759420.000000-0.000068207.600010.1278.36-0.1580-0.4824x=c1 for M1-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.50000.0000-0.3759420.0000000.000069218.000010.1082.40-0.1346-0.4947x=c2 for M2-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.50000.0000-0.3759420.0000000.000070228.400010.0886.44-0.1100-0.5049x=c3 for M3-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.50000.0000-0.3759420.0000000.000071238.800010.0690.46-0.0842-0.5130x=c4 for M4-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.50000.0000-0.3759420.0000000.000072249.200010.0494.48-0.0573-0.5190x for Vx=0(1)-1.0000-10.0000-0.0000060.000029-0.5100-2.6009-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-3.9960-0.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5100-6.5969-0.00000.000010.50000.0000-0.0000460.000000-10.0100100.50100.014756-0.52354610.199873259.600010.0298.50-0.0293-0.5226x for qx=0(1)-1.0000-10.0000-0.0000060.000029-0.5000-2.5000-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.5000-2.5000-0.00000.000010.50000.0000-0.0000460.00000010.0000102.50000.000000-0.52385610.0000742610.000010.00102.500.0000-0.5239x for Vx=0(2)-1.0000-10.0000-0.0000060.000029-0.5100-2.6009-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-3.9960-0.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5100-6.5969-0.00000.000010.50000.0000-0.0000460.000000-10.0100100.50100.014756-0.52354610.1998752710.4000-10.0298.500.0293-0.5226x for qx=0(2)-1.0000-10.0000-0.0000060.000029-0.5000-2.5000-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.5000-2.5000-0.00000.000010.50000.0000-0.0000460.00000010.0000102.50000.000000-0.52385610.0000762810.8000-10.0494.480.0573-0.51902911.2000-10.0690.460.0842-0.5130Information for Input Data "Pick-Boxes":End Reactions (kips, ft-kips):3011.6000-10.0886.440.1100-0.5049Beam Types:SimpleRL =10.50RR =10.503112.0000-10.1082.400.1346-0.4947ProppedML =N.A.MR =N.A.3212.4000-10.1278.360.1580-0.4824FixedMax. Moments and Locations:3312.8000-10.1474.300.1802-0.4682Cantilever+M(max) =102.50x =10.00003413.2000-10.1670.240.2012-0.4522AISC ShapeIxIy-M(max) =-0.00x =0.00003513.6000-10.1866.180.2211-0.4345W44x335311001200Max. Deflections and Locations:3614.0000-10.2062.100.2397-0.4152W44x290271001050-D(max) =-0.5239x =10.00003714.4000-10.2258.020.2572-0.3944W44x28524600490+D(max) =0.0000x =0.00003814.8000-10.2453.920.2735-0.3722W44x262242009273915.2000-10.2649.820.2886-0.3486W44x24821400435M(max) =102.50D(max) =0.5239= L/4584015.6000-10.2845.720.3025-0.3238W44x230208007964116.0000-10.3041.600.3152-0.2980W44x224192003911. Find where shear and slope pass through zero (Method #1):4216.4000-10.3237.480.3267-0.2711W44x19816700336Vx=0:x for Vx=0:Index4316.8000-10.3433.340.3370-0.2433W40x65556500286010.0000kips10.0000264417.2000-10.3629.200.3461-0.2146W40x593504002520-10.0200kips10.4000274517.6000-10.3825.060.3540-0.1853W40x531443002200Interpolating for Vx=0:4618.0000-10.4020.900.3607-0.1553W40x50341700205010.1998ft.4718.4000-10.4216.740.3662-0.1249W40x4803950019404818.8000-10.4412.560.3705-0.0940W40x466363001010qx=0:x for qx=0:Index4919.2000-10.468.380.3735-0.0629W40x436354001720-0.0293deg.9.6000255019.6000-10.484.200.3753-0.0315W40x4313480016900.0000deg.10.0000265120.0000-10.500.000.37590.0000W40x397320001540Interpolating for qx=0:W40x3922990080310.0000ft.W40x372296001420W40x3622890013802. Find where shear and slope pass through zero (Method #2):W40x33124700644Vx(n)*Vx(n+1)qx(n)*qx(n+1)(where: n=Index)W40x328268001660110.040.1411W40x32724500640109.620.1402W40x324256001220109.200.1384W40x321251001190108.780.1357W40x298242001490108.370.1321W40x297232001090107.950.1277W40x27820500521107.540.1225W40x277219001040107.120.1167W40x268215001320106.710.1101W40x26419400493106.300.1030W40x24919600926105.880.0954W40x244192001170105.470.0873W40x23517400444105.060.0789W40x22116600988104.650.0703W40x21516700796104.240.0617W40x21115500390103.840.0530W40x19914900695103.430.0445W40x19213500770103.020.0363W40x18313300336102.620.0285W40x17412200541102.210.0213W40x16711600283101.810.0148W40x1499800229101.400.0093W36x848674004550101.000.0048W36x798626004200100.600.0017W36x720553003680100.20-0.0000W36x650489003230-100.200.0000W36x588435002850100.600.0017W36x527383002490101.000.0048W36x485347002250101.400.0093W36x439310001990101.810.0148W36x393275001750102.210.0213W36x359248001570102.620.0285W36x328225001420103.020.0363W36x300203001300103.430.0445W36x280189001200103.840.0530W36x260173001090104.240.0617W36x25616800528104.650.0703W36x245161001010105.060.0789W36x23215000468105.470.0873W36x23015000940105.880.0954W36x21013200411106.300.1030W36x19412100375106.710.1101W36x18211300347107.120.1167W36x17010500320107.540.1225W36x1609760295107.950.1277W36x1509040270108.370.1321W36x1357800225108.780.1357W33x619418002870109.200.1384W33x567377002580109.620.1402W33x515337002290110.040.1411W33x468301002030W33x424269001800Vx=0:x for Vx=0:IndexW33x38724300162010.0000kips10.000026W33x354220001460-10.0200kips10.400027W33x318195001290Interpolating for Vx=0:W33x29117700116010.1998ft.W33x263159001040W33x24114200933qx=0:x for qx=0:IndexW33x22112900840-0.0293deg.9.600025W33x201116007490.0000deg.10.000026W33x1699290310Interpolating for qx=0:W33x152816027310.0000ft.W33x1417450246W33x1306710218W33x1185900187W30x581330002530W30x526293002230W30x477261001970W30x433232001750W30x391207001550W30x357187001390W30x326168001240W30x292149001100W30x26113100959W30x23511700855W30x21110300757W30x1919200673W30x1738230598W30x1486680227W30x1325770196W30x1245360181W30x1164930164W30x1084470146W30x993990128W30x903610115W27x539256002110W27x494229001890W27x448204001670W27x407181001480W27x368162001310W27x336146001180W27x307131001050W27x28111900953W27x25810800859W27x2359700769W27x2178910704W27x1947860619W27x1787020555W27x1616310497W27x1465660443W27x1294760184W27x1144080159W27x1023620139W27x943270124W27x842850106W24x492191001670W24x450171001490W24x408151001320W24x370134001160W24x335119001030W24x30610700919W24x2799600823W24x2508490724W24x2297650651W24x2076820578W24x1926260530W24x1765680479W24x1625170443W24x1464580391W24x1314020340W24x1173540297W24x1043100259W24x1033000119W24x942700109W24x84237094.4W24x76210082.5W24x68183070.4W24x62156034.5W24x55136029.1W21x402122001270W21x364108001120W21x3339610994W21x3008480873W21x2757620785W21x2486760694W21x2235950609W21x2015310542W21x1824730483W21x1664280435W21x1473630376W21x1323220333W21x1222960305W21x1112670274W21x1012420248W21x93207092.9W21x83183081.4W21x73160070.6W21x68148064.7W21x62133057.5W21x57117030.6W21x55114048.4W21x5098424.9W21x4895938.7W21x4484320.7W18x3116960795W18x2836160704W18x2585510628W18x2344900558W18x2114330493W18x1923870440W18x1753450391W18x1583060347W18x1432750311W18x1302460278W18x1192190253W18x1061910220W18x971750201W18x861530175W18x761330152W18x71117060.3W18x65107054.8W18x6098450.1W18x5589044.9W18x5080040.1W18x4671222.5W18x4061219.1W18x3551015.3W16x1001500186W16x891310163W16x771120138W16x67970119W16x5775843.1W16x5065937.2W16x4558632.8W16x4051828.9W16x3644824.5W16x3137512.4W16x263019.59W14x808160005510W14x730143004720W14x665124004170W14x605108003680W14x55094303250W14x50082102880W14x45571902560W14x42666002360W14x39860002170W14x37054401990W14x34249001810W14x31143301610W14x28338401440W14x25734001290W14x23330101150W14x21126601030W14x1932400931W14x1762140838W14x1591900748W14x1451710677W14x1321530548W14x1201380495W14x1091240447W14x991110402W14x90999362W14x82881148W14x74795134W14x68722121W14x61640107W14x5354157.7W14x4848451.4W14x4342845.2W14x3838526.7W14x3434023.3W14x3029119.6W14x262458.91W14x221997W12x33640601190W12x30535501050W12x2793110937W12x2522720828W12x2302420742W12x2102140664W12x1901890589W12x1701650517W12x1521430454W12x1361240398W12x1201070345W12x106933301W12x96833270W12x87740241W12x79662216W12x72597195W12x65533174W12x58475107W12x5342595.8W12x5039156.3W12x4534850W12x4030744.1W12x3528524.5W12x3023820.3W12x2620417.3W12x221564.66W12x191303.76W12x161032.82W12x1488.62.36W10x112716236W10x100623207W10x88534179W10x77455154W10x68394134W10x60341116W10x54303103W10x4927293.4W10x4524853.4W10x3920945W10x3317136.6W10x3017016.7W10x2614414.1W10x2211811.4W10x1996.34.29W10x1781.93.56W10x1568.92.89W10x1253.82.18W8x6727288.6W8x5822875.1W8x4818460.9W8x4014649.1W8x3512742.6W8x3111037.1W8x289821.7W8x2482.718.3W8x2175.39.77W8x1861.97.97W8x15483.41W8x1339.62.73W8x1030.82.09W6x2553.617.1W6x2041.513.3W6x1632.14.43W6x1529.39.32W6x1222.12.99W6x916.42.2W6x8.514.81.98W5x1926.39.13W5x1621.47.51W4x1311.33.86S24x121316083S24x106294076.8S24x100238047.4S24x90225044.7S24x80210042S20x96167049.9S20x86157046.6S20x75128029.5S20x66119027.5S18x7092324S18x54.780120.7S15x5048515.6S15x42.944614.3S12x5030315.6S12x40.827013.5S12x352289.84S12x31.82179.33S10x351478.3S10x25.41236.73S8x2364.74.27S8x18.457.53.69S7x2042.43.17S7x15.336.72.64S6x17.2526.22.29S6x12.5221.8S5x14.7515.21.67S5x1012.31.19S4x9.56.760.887S4x7.76.050.748S3x7.52.910.578S3x5.72.50.447C15x5040411C15x403489.17C15x33.93158.07C12x301625.12C12x251444.45C12x20.71293.86C10x301033.93C10x2591.13.34C10x2078.92.8C10x15.367.32.27C9x2060.92.41C9x15511.91C9x13.447.81.75C8x18.7543.91.97C8x13.7536.11.52C8x11.532.51.31C7x14.7527.21.37C7x12.2524.21.16C7x9.821.20.957C6x1317.31.05C6x10.515.10.86C6x8.213.10.687C5x98.890.624C5x6.77.480.47C4x7.254.580.425C4x5.43.850.312C4x4.53.650.289C3x62.070.3C3x51.850.241C3x4.11.650.191C3x3.51.570.169MC18x5867517.6MC18x51.962716.3MC18x45.857814.9MC18x42.755414.3MC13x5031416.4MC13x4027313.7MC13x3525212.3MC13x31.823911.4MC12x5026917.4MC12x4525215.8MC12x4023414.2MC12x3521612.6MC12x3120211.3MC12x10.655.30.378MC10x41.115715.7MC10x33.613913.1MC10x28.512611.3MC10x251107.25MC10x221026.4MC10x8.431.90.326MC10x6.522.10.112MC9x25.487.97.57MC9x23.984.97.14MC8x22.863.87.01MC8x21.461.56.58MC8x2054.44.42MC8x18.752.44.15MC8x8.523.30.624MC7x22.747.47.24MC7x19.143.16.06MC6x1829.75.88MC6x16.3263.77MC6x15.325.34.91MC6x15.124.93.46MC6x1218.71.85HSS32x32x5/81230012300HSS32x32x1/21010010100HSS32x32x3/877507750HSS30x30x5/81010010100HSS30x30x1/283208320HSS30x30x3/863706370HSS28x28x5/881408140HSS28x28x1/267306730HSS28x28x3/851505150HSS26x26x5/864606460HSS26x26x1/253505350HSS26x26x3/841104110HSS24x24x5/850305030HSS24x24x1/241704170HSS24x24X3/832103210HSS22x22x5/838203820HSS22x22x1/231903190HSS22x22x3/824602460HSS20x20x5/828302830HSS20x20x1/223702370HSS20x20x3/818301830HSS18x18x5/820202020HSS18x18x1/217001700HSS18x18x3/813201320HSS16x16x5/813701370HSS16x16x1/211301130HSS16x16x3/8873873HSS16x16x5/16739739HSS14x14x5/8897897HSS14x14x1/2743743HSS14x14x3/8577577HSS14x14x5/16490490HSS12x12x5/8548548HSS12x12x1/2457457HSS12x12x3/8357357HSS12x12x5/16304304HSS12x12x1/4248248HSS10x10x5/8304304HSS10x10x1/2256256HSS10x10x3/8202202HSS10x10x5/16172172HSS10x10x1/4141141HSS10x10x3/16108108HSS8x8x5/8146146HSS8x8x1/2125125HSS8x8x3/899.699.6HSS8x8x5/1685.685.6HSS8x8x1/470.770.7HSS8x8x3/1654.454.4HSS7x7x5/893.493.4HSS7x7x1/280.580.5HSS7x7x3/86565HSS7x7x5/1656.156.1HSS7x7x1/446.546.5HSS7x7x3/163636HSS6x6x5/855.255.2HSS6x6x1/248.348.3HSS6x6x3/839.539.5HSS6x6x5/1634.334.3HSS6x6x1/428.628.6HSS6x6x3/1622.322.3HSS6x6x1/815.515.5HSS5.5x5.5x3/829.729.7HSS5.5x5.5x5/1625.925.9HSS5.5x5.5x1/421.721.7HSS5.5x5.5x3/161717HSS5.5x5.5x1/811.811.8HSS5x5x1/22626HSS5x5x3/821.721.7HSS5x5x5/161919HSS5x5x1/41616HSS5x5x3/1612.612.6HSS5x5x1/88.88.8HSS4.5x4.5x1/218.118.1HSS4.5x4.5x3/815.315.3HSS4.5x4.5x5/1613.513.5HSS4.5x4.5x1/411.411.4HSS4.5x4.5x3/169.029.02HSS4.5x4.5x1/86.356.35HSS4x4x1/211.911.9HSS4x4x3/810.310.3HSS4x4x5/169.149.14HSS4x4x1/47.87.8HSS4x4x3/166.216.21HSS4x4x1/84.44.4HSS3.5x3.5x3/86.496.49HSS3.5x3.5x5/165.845.84HSS3.5x3.5x1/45.045.04HSS3.5x3.5x3/164.054.05HSS3.5x3.5x1/82.92.9HSS3x3x3/83.783.78HSS3x3x5/163.453.45HSS3x3x1/43.023.02HSS3x3x3/162.462.46HSS3x3x1/81.781.78HSS2.5x2.5x5/161.821.82HSS2.5x2.5x1/41.631.63HSS2.5x2.5x3/161.351.35HSS2.5x2.5x1/80.9980.998HSS2.25x2.25x1/41.131.13HSS2.25x2.25x3/160.9530.953HSS2.25x2.25x1/80.7120.712HSS2x2x1/40.7470.747HSS2x2x3/160.6410.641HSS2x2x1/80.4860.486HSS1.75x1.75x3/160.4050.405HSS1.625x1.625x3/160.3130.313HSS1.625x1.625x1/80.2460.246HSS1.5x1.5x3/160.2360.236HSS1.5x1.5x1/80.1880.188HSS1.25x1.25x3/160.1220.122HSS1.25x1.25x1/80.1020.102HSS32x24x5/898806390HSS32x24x1/281605280HSS32x24x3/862504050HSS30x24x5/884806050HSS30x24x1/270105000HSS30x24x3/853803840HSS28x24x5/872105710HSS28x24x1/259704730HSS28x24x3/845803630HSS26x24x5/860605370HSS26x24x1/250204450HSS26x24x3/838603420HSS24x22x5/846804110HSS24x22x1/239003420HSS24x22x3/830002630HSS22x20x5/835303060HSS22x20x1/229502560HSS22x20x3/822801970HSS20x18x5/825902210HSS20x18x1/221801850HSS20x18x3/816901440HSS20x16x5/823601680HSS20x16x1/219901410HSS20x16x3/815401100HSS20x12x5/81880851HSS20x12x1/21550705HSS20x12x3/81200547HSS20x12x5/161010464HSS20x8x5/81440338HSS20x8x1/21190283HSS20x8x3/8926222HSS20x8x5/16786189HSS20x4x1/283858.7HSS20x4x3/865747.6HSS20x4x5/1656041.2HSS18x12x5/81450776HSS18x12x1/21200643HSS18x12x3/8929499HSS18x6x5/8923158HSS18x6x1/2770134HSS18x6x3/8602106HSS18x6x5/1651391.3HSS18x6x1/441975.1HSS16x12x5/81090700HSS16x12x1/2904581HSS16x12x3/8702452HSS16x12x5/16595384HSS16x8x5/8815274HSS16x8x1/2679230HSS16x8x3/8531181HSS16x8x5/16451155HSS16x4x1/245547HSS16x4x3/836038.3HSS16x4x5/1630833.2HSS14x12x1/2658519HSS14x12x3/8512405HSS14x10x5/8687407HSS14x10x1/2573341HSS14x10x3/8447267HSS14x10x5/16380227HSS14x10x1/4310186HSS14x6x5/8478124HSS14x6x1/2402105HSS14x6x3/831784.1HSS14x6x5/1627172.3HSS14x6x1/422259.6HSS14x6x3/1617045.9HSS14x4x5/837347.2HSS14x4x1/231741.2HSS14x4x3/825233.6HSS14x4x5/1621629.2HSS14x4x1/417824.4HSS14x4x3/1613719HSS12x10x1/2395298HSS12x10x3/8310234HSS12x10x5/16264200HSS12x10x1/4216164HSS12x8x5/8397210HSS12x8x1/2333178HSS12x8x3/8262140HSS12x8x5/16224120HSS12x8x1/418498.8HSS12x8x3/1614075.7HSS12x6x5/8321107HSS12x6x1/227191.1HSS12x6x3/821572.9HSS12x6x5/1618462.8HSS12x6x1/415151.9HSS12x6x3/1611640HSS12x4x5/824540.4HSS12x4x1/221035.3HSS12x4x3/816828.9HSS12x4x5/1614425.2HSS12x4x1/411921HSS12x4x3/1691.816.4HSS12x3.5x3/815621.3HSS12x3.5x5/1613418.6HSS12x3x5/1612413.1HSS12x3x1/410311.1HSS12x3x3/1679.68.72HSS12x2x1/486.94.41HSS12x2x3/1667.43.55HSS10x8x1/2214151HSS10x8x3/8169120HSS10x8x5/16145103HSS10x8x1/411984.7HSS10x8x3/1691.465.1HSS10x6x5/820189.4HSS10x6x1/217176.8HSS10x6x3/813761.8HSS10x6x5/1611853.3HSS10x6x1/496.944.1HSS10x6x3/1674.634.1HSS10x5x3/812040.6HSS10x5x5/1610435.2HSS10x5x1/485.829.3HSS10x5x3/1666.222.7HSS10x4x5/814933.5HSS10x4x1/212929.5HSS10x4x3/810424.3HSS10x4x5/1690.121.2HSS10x4x1/474.717.7HSS10x4x3/1657.813.9HSS10x3.5x3/1653.610.3HSS10x3x3/88812.4HSS10x3x5/1676.311HSS10x3x1/463.69.28HSS10x3x3/1649.47.33HSS10x3x1/834.25.16HSS10x2x3/871.74.7HSS10x2x5/1662.64.24HSS10x2x1/452.53.67HSS10x2x3/16412.97HSS9x7x5/8174117HSS9x7x1/2149100HSS9x7x3/811980.4HSS9x7x5/1610269.2HSS9x7x1/484.157.2HSS9x7x3/1664.744.1HSS9x5x5/813352HSS9x5x1/211545.2HSS9x5x3/892.536.8HSS9x5x5/1679.832HSS9x5x1/466.126.6HSS9x5x3/1651.120.7HSS9x3x1/280.813.2HSS9x3x3/866.311.2HSS9x3x5/1657.79.88HSS9x3x1/448.28.38HSS9x3x3/1637.66.64HSS8x6x5/811472.3HSS8x6x1/298.262.5HSS8x6x3/879.150.6HSS8x6x5/1668.343.8HSS8x6x1/456.636.4HSS8x6x3/1643.728.2HSS8x4x5/88226.6HSS8x4x1/271.823.6HSS8x4x3/858.719.6HSS8x4x5/165117.2HSS8x4x1/442.514.4HSS8x4x3/1633.111.3HSS8x4x1/822.97.9HSS8x3x1/258.611.7HSS8x3x3/848.59.95HSS8x3x5/1642.48.81HSS8x3x1/435.57.49HSS8x3x3/1627.85.94HSS8x3x1/819.34.2HSS8x2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&R"BEAMANAL.xls" ProgramVersion 2.3&C&P of &N&R&D &TUp to 15 point (concentrated) loads may be input. Do not use "Space Bar" to clear contents of unused cells. "Highlight" those cells which are to be cleared and click on the Right Mouse Button and select "Clear Contents".Up to 8 distributed loads may be input. These loads may be full or partial in length and may be varying in value (triangular or trapezoidal). Do not use "Space Bar" to clear contents of unused cells. "Highlight" those cells which are to be cleared and click on the Right Mouse Button and select "Clear Contents".Up to 4 externally applied moments may be input. Do not use "Space Bar" to clear contents of unused cells. "Highlight" those cells which are to be cleared and click on the Right Mouse Button and select "Clear Contents".The full uniformly distributed load, 'w', usually includes the self-weight of the beam.'b' is the distance from the left end of the beam to the beginning (left side) of the distributed load.See Nomenclature illustration above.'e' is the distance from the left end of the beam to the end (right side) of the distributed load.See Nomenclature illustration above.'wb' is the value of the distributed loadat the beginning (left side) of the load.See Nomenclature illustration above.'we' is the value of the distributed loadat the end (right side) of the load.See Nomenclature illustration above.'a' is the distance from the left end of the beam to the point load.See Nomenclature illustration above.'c' is the distance from the left end of the beam to the applied moment.See Nomenclature illustration above.The value of 'P' is positive (+) downward and negative (-) upward.See Nomenclature illustration above.The value of 'M' is positive (+) counterclockwise and negative (-) clockwise.See Nomenclature illustration above.

Single-Span Beam000000000000000000000000000000000000000000000000000

Shear Diagramx (ft.)Shear (kips)Shear Diagram

Single-Span Beam & Code Check000000000000000000000000000000000000000000000000000

Moment Diagramx (ft.)Moment (ft-kips)Moment Diagram

Continuous-Span BeamSINGLE-SPAN BEAM ANALYSIS and AISC ASD CODE CHECKCALCULATIONS:Version 2.3For Simple, Propped, Fixed, or Cantilever BeamsSummary for W12x50:Using AISC W, S, C, or MC Shapes Subjected to X-Axis Bending OnlyFor Full Uniform Load, wFor Distributed Load #1For Distributed Load #2For Distributed Load #3For Distributed Load #4For Distributed Load #5For Distributed Load #6For Distributed Load #7For Distributed Load #8For All 15 Point LoadsFor All 4 Applied MomentsSummations of Loading Functions for All LoadsInitial Beam Parameters at Left EndShear, Moment, Slope, & Deflection @ xDist. fromCorrections for P Loads at Supports:S.R.(flexure) =0.904= fbx/FbxJob Name:Subject:Loading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xFor Loading Functions Evaluated at x = LFor Loading Functions Evaluated at xwith Loading Functions Evaluated at x = LVxMxqxDxLeft EndS Reaction forS Reaction forS.R.(shear) =0.162= fv/FvJob Number:Originator:Checker:Points:FvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxSFvLSFmLSFqLSFDLSFvxSFmxSFqxSFDxVoMoqoDo(kips)(ft-kips)(deg.)(in.)x (ft.)Index:P Loads withP Loads withD(ratio) =L/4581-1.0000-10.0000-0.0000060.0000290.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.00030.00000.00000.00000.000010.50000.0000-0.0000460.00000010.50000.0000-0.3759420.0000000.00001Dist. a = 0Dist. a = LInput Data:2-1.0000-10.0000-0.0000060.000029-0.0200-0.0040-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.0200-0.0040-0.00000.000010.50000.0000-0.0000460.00000010.48004.1960-0.375331-0.0314780.400020.000.00P1Properties for W12x503-1.0000-10.0000-0.0000060.000029-0.0400-0.0160-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.0400-0.0160-0.00000.000010.50000.0000-0.0000460.00000010.46008.3840-0.373500-0.0628530.800030.000.00P2d =12.200in.Beam Data:c4-1.0000-10.0000-0.0000060.000029-0.0600-0.0360-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.0600-0.0360-0.00000.000010.50000.0000-0.0000460.00000010.440012.5640-0.370452-0.0940241.200040.000.00P3tw =0.370in.Span Type?Simplee5-1.0000-10.0000-0.0000060.000029-0.0800-0.0640-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.0800-0.0640-0.00000.000010.50000.0000-0.0000460.00000010.420016.7360-0.366187-0.1248891.600050.000.00P4bf =8.080in.Span, L =20.0000ft.Simple Beamb6-1.0000-10.0000-0.0000060.000029-0.1000-0.1000-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1000-0.1000-0.00000.000010.50000.0000-0.0000460.00000010.400020.9000-0.360710-0.1553462.000060.000.00P5tf =0.640in.Caution: User should make sure toModulus, E =29000ksia7-1.0000-10.0000-0.0000060.000029-0.1200-0.1440-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1200-0.1440-0.00000.000010.50000.0000-0.0000460.00000010.380025.0560-0.354022-0.1852932.400070.000.00P6rt =2.170in.Clear Contents of all inputInertia, Ix =391.00in.^4Propped Beam+P+M +we8-1.0000-10.0000-0.0000060.000029-0.1400-0.1960-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1400-0.1960-0.00000.000010.50000.0000-0.0000460.00000010.360029.2040-0.346126-0.2146292.800080.000.00P7d/Af =2.36cells not being used.Beam Size =W12x50+wb9-1.0000-10.0000-0.0000060.000029-0.1600-0.2560-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1600-0.2560-0.00000.000010.50000.0000-0.0000460.00000010.340033.3440-0.337023-0.2432533.200090.000.00P8Ix =391.00in.^4Yield, Fy =36ksiFixed Beam+w10-1.0000-10.0000-0.0000060.000029-0.1800-0.3240-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.1800-0.3240-0.00000.000010.50000.0000-0.0000460.00000010.320037.4760-0.326717-0.2710643.6000100.000.00P9Sx =64.20in.^3Length, Lb =20.0000ft.E,IL11-1.0000-10.0000-0.0000060.000029-0.2000-0.4000-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2000-0.4000-0.00000.000010.50000.0000-0.0000460.00000010.300041.6000-0.315209-0.2979624.0000110.000.00P10Coef., Cb =1.00Cantilever BeamRLxRR12-1.0000-10.0000-0.0000060.000029-0.2200-0.4840-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2200-0.4840-0.00000.000010.50000.0000-0.0000460.00000010.280045.7160-0.302502-0.3238454.4000120.000.00P11User Designated Points to Calculate:Nomenclature13-1.0000-10.0000-0.0000060.000029-0.2400-0.5760-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2400-0.5760-0.00000.000010.50000.0000-0.0000460.00000010.260049.8240-0.288598-0.3486134.8000130.000.00P12x1 =0.0000ft.0Beam Loadings:14-1.0000-10.0000-0.0000060.000029-0.2600-0.6760-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2600-0.6760-0.00000.000010.50000.0000-0.0000460.00000010.240053.9240-0.273500-0.3721665.2000140.000.00P13x2 =0.0000ft.0Full Uniform:15-1.0000-10.0000-0.0000060.000029-0.2800-0.7840-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.2800-0.7840-0.00000.000010.50000.0000-0.0000460.00000010.220058.0160-0.257210-0.3944055.6000150.000.00P140w =0.0500kips/ft.16-1.0000-10.0000-0.0000060.000029-0.3000-0.9000-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3000-0.9000-0.00000.000010.50000.0000-0.0000460.00000010.200062.1000-0.239730-0.4152296.0000160.000.00P15Results for User Designated Points:StartEnd17-1.0000-10.0000-0.0000060.000029-0.3200-1.0240-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3200-1.0240-0.00000.000010.50000.0000-0.0000460.00000010.180066.1760-0.221062-0.4345396.4000170.000.00S PFor x1:Distributed:b (ft.)wb (kips/ft.)e (ft.)we (kips/ft.)Point Loads:a (ft.)P (kips)18-1.0000-10.0000-0.0000060.000029-0.3400-1.1560-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3400-1.1560-0.00000.000010.50000.0000-0.0000460.00000010.160070.2440-0.201209-0.4522356.800018Vx Correction:Vx Correction:Vx1 =10.50kips#1:#1:10.000020.0019-1.0000-10.0000-0.0000060.000029-0.3600-1.2960-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3600-1.2960-0.00000.000010.50000.0000-0.0000460.00000010.140074.3040-0.180174-0.4682197.20001900Mx1 =-0.00ft-kips#2:#2:20-1.0000-10.0000-0.0000060.000029-0.3800-1.4440-0.0000000.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.3800-1.4440-0.00000.000010.50000.0000-0.0000460.00000010.120078.3560-0.157957-0.4823917.600020qx1 =-0.3759deg.#3:#3:21-1.0000-10.0000-0.0000060.000029-0.4000-1.6000-0.0000000.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4000-1.6000-0.00000.000010.50000.0000-0.0000460.00000010.100082.4000-0.134563-0.4946528.000021Dx1 =0.0000in.#4:#4:22-1.0000-10.0000-0.0000060.000029-0.4200-1.7640-0.0000000.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4200-1.7640-0.00000.000010.50000.0000-0.0000460.00000010.080086.4360-0.109993-0.5049048.400022#5:#5:23-1.0000-10.0000-0.0000060.000029-0.4400-1.9360-0.0000010.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4400-1.9360-0.00000.000010.50000.0000-0.0000460.00000010.060090.4640-0.084249-0.5130498.800023For x2:#6:#6:24-1.0000-10.0000-0.0000060.000029-0.4600-2.1160-0.0000010.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4600-2.1160-0.00000.000010.50000.0000-0.0000460.00000010.040094.4840-0.057334-0.5189879.200024Vx2 =10.50kips#7:#7:25-1.0000-10.0000-0.0000060.000029-0.4800-2.3040-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.4800-2.3040-0.00000.000010.50000.0000-0.0000460.00000010.020098.4960-0.029250-0.5226229.600025Mx2 =-0.00ft-kips#8:#8:26-1.0000-10.0000-0.0000060.000029-0.5000-2.5000-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.0002940.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-0.5000-2.5000-0.00000.000010.50000.0000-0.0000460.00000010.0000102.50000.000000-0.52385610.000026qx2 =-0.3759deg.#9:27-1.0000-10.0000-0.0000060.000029-0.5200-2.7040-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-8.0000-0.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5200-10.7040-0.00000.000010.50000.0000-0.0000460.000000-10.020098.49600.029250-0.52262210.400027Dx2 =0.0000in.Moments:c (ft.)M (ft-kips)#10:28-1.0000-10.0000-0.0000060.000029-0.5400-2.9160-0.0000010.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-16.0000-0.0000010.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5400-18.9160-0.00000.000010.50000.0000-0.0000460.000000-10.040094.48400.057334-0.51898710.800028#1:#11:29-1.0000-10.0000-0.0000060.000029-0.5600-3.1360-0.0000010.000003-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-24.0000-0.0000010.0000010.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5600-27.1360-0.00000.000010.50000.0000-0.0000460.000000-10.060090.46400.084249-0.51304911.200029#2:#12:30-1.0000-10.0000-0.0000060.000029-0.5800-3.3640-0.0000010.000003-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-32.0000-0.0000020.0000010.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.5800-35.3640-0.00000.000010.50000.0000-0.0000460.000000-10.080086.43600.109993-0.50490411.600030#3:#13:31-1.0000-10.0000-0.0000060.000029-0.6000-3.6000-0.0000010.000004-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-40.0000-0.0000040.0000020.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6000-43.6000-0.00000.000010.50000.0000-0.0000460.000000-10.100082.40000.134563-0.49465212.000031#4:#14:32-1.0000-10.0000-0.0000060.000029-0.6200-3.8440-0.0000010.000004-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-48.0000-0.0000050.0000040.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6200-51.8440-0.00000.000010.50000.0000-0.0000460.000000-10.120078.35600.157957-0.48239112.400032#15:33-1.0000-10.0000-0.0000060.000029-0.6400-4.0960-0.0000020.000005-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-56.0000-0.0000070.0000060.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6400-60.0960-0.00000.000010.50000.0000-0.0000460.000000-10.140074.30400.180174-0.46821912.800033Results:34-1.0000-10.0000-0.0000060.000029-0.6600-4.3560-0.0000020.000006-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-64.0000-0.0000090.0000100.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6600-68.3560-0.00000.000010.50000.0000-0.0000460.000000-10.160070.24400.201209-0.45223513.200034AISC Code Check for X-Axis Bending:35-1.0000-10.0000-0.0000060.000029-0.6800-4.6240-0.0000020.000006-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-72.0000-0.0000110.0000140.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003-20.6800-76.6240-0.00000.000010.50000.0000-0.0000460.000000-10.180066.17600.221062-0.43453913.600035End Reactions:Lc =8.53ft.36-1.0000-10.0000-0.0000060.000029-0.7000-4.9000-0.0000020.000007-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20.0000-200.0000-0.0000880.000294-20.0000-80.0000-0.0000140.0000190.00000.00000.0000000.0000000.00000.00000.0000000.000000-21.0000-210.0000-0.00010.0003