weldgrp' program - calculator edge · xls file · web view2009-03-25 · "weldgrp"...
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"WELDGRP" --- WELD GROUP ANALYSIS PROGRAM
Program Description:
"WELDGRP" is a spreadsheet program written in MS-Excel for the purpose of analysis of weld groups usingeither the ultimate strength method (also known as "instantaneous center of rotation" method) or the "elastic"(vector) method ("Alternate Method 1" in AISC Manual). A separate worksheet contains data tables for welds.
This program is a workbook consisting of eleven (11) worksheets, described as follows:
Worksheet Name DescriptionDoc This documentation sheet
Table XIX Weld group instantaneous center analysis for vertical parallel weldsTable XX Weld group instantaneous center analysis for horizontal parallel weldsTable XXI Weld group instantaneous center analysis for vertical rectangular weldsTable XXII Weld group instantaneous center analysis for horizontal rectangular weldsTable XXIII Weld group instantaneous center analysis for C-shaped welds (case 1)Table XXIV Weld group instantaneous center analysis for C-shaped welds (case 2)Table XXV Weld group instantaneous center analysis for L-shaped welds (case1)Table XXVI Weld group instantaneous center analysis for L-shaped welds (case 2)
Weld Group (elastic) Weld group elastic analysis for up to 24 total weld lines and 4 load pointsWeld Data Fillet Weld Data Tables
Program Assumptions and Limitations:
1. The AISC eccentric loads on weld groups worksheets (Tables XX through XXVI, pages 4-75 through 4-82) are applicable for only in-plane shear loads and torques (moments) on the weld group. With the one exception being the "Special Case" of out-of-plane loading for vertical parallel welds, AISC Table XIX.2. The "Weld Group (elastic)" worksheet can be used for all cases of in-plane and out-of-plane loads on the weld group, or where geometry limitations of the AISC Tables XIX through XXVI are ecceeded. The "elastic" method (AISC "Alternate" Method 1) will always give conservative results when compared to using the AISC Tables.3. The "Weld Group (elastic)" worksheet assumes a minimum of 1 weld and a maximum of 24 welds in a group.4. In the "Weld Group (elastic)" worksheet, the welds are treated as "lines" possessing a length, but no actual theoretical thickness. All welds are assumed to contribute to the moment of inertia of the group, and the applied loads are linearly distributed among the welds based on the location of the welds from the centroidal axes. 5. In the "Weld Group (elastic)" worksheet, the weld group must be composed of straight lines/segments, but they all need not be connected. Circular or portions of a circular pattern weld may be adequately modeled by using a series of segments. (Note: see below for an example of modeling a circular weld pattern.)6. In the "Weld Group (elastic)" worksheet, each weld line/segment is defined by its own start (X1,Y1) and end (X2,Y2) sets of coordinates. Coordinates defining weld lines/segments can be input irrespective of direction. That is, a weld line/segment may be defined from left-to-right and top-to-bottom or vice-versa.7. The "Weld Group (elastic)" worksheet assumes an orthogonal X-Y-Z coordinate system. All welds and loads points MUST BE located in the "positive" (1st) quadrant. "Negative" weld or load point location coordinates are NOT permitted. "Right-Hand-Rule" sign convention is used for all applied forces and moments at load point locations. 8. In the "Weld Group (elastic)" worksheet, the welds and load points can be numbered in any desired order. However, the user should make sure to either clear the contents of all spreadsheet cells that are not used for input or those cell values should be input = 0. All welds and load points MUST BE input in proper numerical
sequence with no "breaks" in the numerical order of input data. 9. The "Weld Group (elastic)" worksheet calculates the required weld size in terms of both fillet leg and effective throat dimensions, based on the assumption of using E70XX welding electrodes. The user should check AISC specification for limitations on minimum and maximum weld sizes.10. This program contains numerous “comment boxes” which contain a wide variety of information including explanations of input or output items, equations used, data tables, etc. (Note: presence of a “comment box” is denoted by a “red triangle” in the upper right-hand corner of a cell. Merely move the mouse pointer to the desired cell to view the contents of that particular "comment box".)11. Weld Data worksheet shows data tables for minimum size of fillet welds, allowable force on fillet welds, and intermittent fillet weld lengths and spacings.
Circular Weld Example (using elastic method):
A circular weld of diameter, 'D', with its center located at 0.50*D from both the origin X and Y axes, may be modeled as 24-sided shape inscribed within the circle. The coordinates of the 24 connected segments can be described as follows:
Weld Coordinates:Start End
X1 Y1 X2 Y2Weld #1 0 0.50*D 0.0170*D 0.3706*DWeld #2 0.0170*D 0.3706*D 0.0670*D 0.2500*DWeld #3 0.0670*D 0.2500*D 0.1464*D 0.1464*DWeld #4 0.1464*D 0.1464*D 0.2500*D 0.0670*DWeld #5 0.2500*D 0.0670*D 0.3706*D 0.0170*DWeld #6 0.3706*D 0.0170*D 0.50*D 0Weld #7 0.50*D 0 0.6294*D 0.0170*DWeld #8 0.6294*D 0.0170*D 0.7500*D 0.0670*DWeld #9 0.7500*D 0.0670*D 0.8536*D 0.1464*D
Weld #10 0.8536*D 0.1464*D 0.9330*D 0.2500*DWeld #11 0.9330*D 0.2500*D 0.9830*D 0.3706*DWeld #12 0.9830*D 0.3706*D 1.0*D 0.50*DWeld #13 1.0*D 0.50*D 0.9830*D 0.6294*DWeld #14 0.9830*D 0.6294*D 0.9330*D 0.7500*DWeld #15 0.9330*D 0.7500*D 0.8536*D 0.8536*DWeld #16 0.8536*D 0.8536*D 0.7500*D 0.9330*DWeld #17 0.7500*D 0.9330*D 0.6294*D 0.9830*DWeld #18 0.6294*D 0.9830*D 0.50*D 1.0*DWeld #19 0.50*D 1.0*D 0.3706*D 0.9830*DWeld #20 0.3706*D 0.9830*D 0.2500*D 0.9330*DWeld #21 0.2500*D 0.9330*D 0.1464*D 0.8536*DWeld #22 0.1464*D 0.8536*D 0.0670*D 0.7500*DWeld #23 0.0670*D 0.7500*D 0.0170*D 0.6294*DWeld #24 0.0170*D 0.6294*D 0 0.50*D
Y
"WELDGRP.xls" ProgramVersion 2.2
3 of 16 05/10/2023 18:32:03
ECCENTRIC LOADS ON VERTICAL PARALLEL WELD GROUPSBased on the Instantaneous Center of Rotation Method and Alternate Method 2
Using Table XIX from AISC 9th Ed. Manual (ASD) - page 4-75Job Name: Subject: ###
Job Number: Originator: Checker: ### Pv=22 k ###
Input Data: aL=6 = 0 ######
Vertical Weld Length = 8.000 in. P=Pv ###Spacing of Welds = 4.000 in. ###
1/4 in. = 4 (1/16's) L= ###Vertical Load, Pv = 22.00 kips 8.000 C.G. Ph=0 Yes
Horizontal Load, Ph = 0.00 kips NoDist. from Pv to C.G. = 6.000 in. C(max) =
Use Special Case? No (kL)/2 (kL)/2 A = kL= 4 Ca/Co =
Nomenclature: Ca = Pv D(req'd) =
P = Pv = C*C1*D*L (for vertical load only) L(req'd) =P = allowable load on eccentric weld group (kips) aLC = coefficient interpolated from Table XIX P Interpolate for "C"C1 = coefficient for electrode, use 1.0 for E70XX TABLE XIX Coefficients, "C" (AISC Manual - page 4-75)D = number of 1/16's of an inch (weld size) L kL = vertical weld length Ph a
###eq. spaces ###
###Results: ###
(Note: AISC Alternate Method 2 is not used for P=Pv) ###L = 8.000 in. L = vertical weld length ###
kL = 4.000 in. kL = spacing of vertical welds ###aL = 6.000 in. aL = dist. from Pv to C.G. ###
a = 0.750 a = (aL)/L ###k = 0.500 k = (kL)/L ###
C1 = 1.0 C1 = 1.0 for E70XX electrode ###C = 0.712 (interpolated from Table XIX, page 4-75) ###P = 22.00 kips P = SQRT(Pv^2+Ph^2) ###
0.000 deg. ###Co = N.A. Co = C (from AISC Table XIX, page 4-75) ###
C(max) = N.A. C(max) = 0.928*(2) ###A = N.A. A = C(max)/Co >= 1.0 ###
Ca/Co = N.A. ###Ca = N.A. Ca = (Ca/Co)*Co ###
D(req'd) = 3.862 1/16's D(req'd) = P/(C*C1*L) ###L(req'd) = 7.725 in. L(req'd) = P/(C*C1*D) ###
###Weld is adequate! ###
D(req'd) = 3.862 <= 4 (1/16's) ###L(req'd) = 7.725 <= 8 in. k Index:
###
q
Weld Size, w =
q
Special Case (out of plane) (Use C values for k=0)
Angle q = q = 90-(ATAN(Pv/Ph))
Ca/Co = A/(SINq+A*COSq) >= 1.0
'"WELDGRP.xls" ProgramVersion 2.2
4 of 16 05/10/2023 18:32:03
ECCENTRIC LOADS ON HORIZONTAL PARALLEL WELD GROUPSBased on the Instantaneous Center of Rotation Method and Alternate Method 2
Using Table XX from AISC 9th Ed. Manual (ASD) - page 4-76Job Name: Subject: ###
Job Number: Originator: Checker: ######
Input Data: ######
Horiz. Weld Length = 10.000 in. Pv=27.4 k ###Spacing of Welds = 5.000 in. aL=10 0
3/8 in. = 6 (1/16's) ###Vertical Load, Pv = 27.40 kips P=Pv
Horizontal Load, Ph = 0.00 kips kL = Co =Dist. from Pv to C.G. = 10.000 in. 5.000 C.G. C(max) =
Ph=0 A =Nomenclature: L = 10 Ca/Co =
Ca =P = Pv = C*C1*D*L (for vertical load only) D(req'd) =P = allowable load on eccentric weld group (kips) L(req'd) =C = coefficient interpolated from Table XXC1 = coef. for electrode, use 1.0 for E70XX Interpolate for "C"D = number of 1/16's of an inch (weld size) TABLE XX Coefficients, "C" (AISC Manual - page 4-76)L = horizontal weld length k
a###
Results: ###(Note: AISC Alternate Method 2 is not used for P=Pv) ###
L = 10.000 in. L = horizontal weld length ###kL = 5.000 in. kL = spacing of horiz. welds ###aL = 10.000 in. aL = dist. from Pv to C.G. ###
a = 1.000 a = (aL)/L ###k = 0.500 k = (kL)/L ###
C1 = 1.0 C1 = 1.0 for E70XX electrode ###C = 0.553 (interpolated from Table XX, page 4-76) ###P = 27.40 kips P = SQRT(Pv^2+Ph^2) ###
0.000 deg. ###Co = N.A. Co = C (from AISC Table XX, page 4-76) ###
C(max) = N.A. C(max) = 0.928*(2) ###A = N.A. A = C(max)/Co >= 1.0 ###
Ca/Co = N.A. ###Ca = N.A. Ca = (Ca/Co)*Co ###
D(req'd) = 4.955 1/16's D(req'd) = P/(C*C1*L) ###L(req'd) = 8.258 in. L(req'd) = P/(C*C1*D) ###
###Weld is adequate! ###
D(req'd) = 4.955 <= 6 (1/16's) ###L(req'd) = 8.258 <= 10 in. ###
###k Index:
###
q =Weld Size, w =
Angle q =
Angle q = q = 90-(ATAN(Pv/Ph))
Ca/Co = A/(SINq+A*COSq) >= 1.0
"WELDGRP.xls" ProgramVersion 2.2
5 of 16 05/10/2023 18:32:03
ECCENTRIC LOADS ON RECTANGULAR WELD GROUPSBased on the Instantaneous Center of Rotation Method and Alternate Method 2
Using Table XXI from AISC 9th Ed. Manual (ASD) - page 4-77Job Name: Subject: ###
Job Number: Originator: Checker: ######
Input Data: ### aL=10 ###
Vertical Weld Length = 10.000 in. Pv=76 k ###Horiz. Weld Length = 5.000 in. 0
1/2 in. = 8 (1/16's) ###Vertical Load, Pv = 76.00 kips P=Pv
Horizontal Load, Ph = 0.00 kips L = Co =Dist. from Pv to C.G. = 10.000 in. 10.000 C.G. C(max) =
Ph=0Nomenclature:
Ca =P = Pv = C*C1*D*L (for vertical load only) kL= 5 D(req'd) =P = allowable load on eccentric weld group (kips) L(req'd) =C = coefficient interpolated from Table XXIC1 = coef. for electrode, use 1.0 for E70XX Interpolate for "C"D = number of 1/16's of an inch (weld size) TABLE XXI Coefficients, "C" (AISC Manual - page 4-77)L = vertical weld length k
a###
Results: ###(Note: AISC Alternate Method 2 is not used for P=Pv) ###
L = 10.000 in. L = vertical weld length ###kL = 5.000 in. kL = horizontal weld length ###aL = 10.000 in. aL = dist. from Pv to C.G. ###
a = 1.000 a = (aL)/L ###k = 0.500 k = (kL)/L ###
C1 = 1.0 C1 = 1.0 for E70XX electrode ###C = 0.951 (interpolated from Table XXI) ###P = 76.00 kips P = SQRT(Pv^2+Ph^2) ###
0.000 deg. ###Co = N.A. Co = C (from AISC Table XXI) ###
C(max) = N.A. C(max) = 0.928*(2+2*k) ###A = N.A. A = C(max)/Co >= 1.0 ###
Ca/Co = N.A. ###Ca = N.A. Ca = (Ca/Co)*Co ###
D(req'd) = 7.992 1/16's D(req'd) = P/(C*C1*L) ###L(req'd) = 9.989 in. L(req'd) = P/(C*C1*D) ###
###Weld is adequate! ###
D(req'd) = 7.992 <= 8 (1/16's) ###L(req'd) = 9.989 <= 10 in. ###
###k Index:
###
q =Weld Size, w =
Angle q = q = 90-(ATAN(Pv/Ph))
Ca/Co = A/(SINq+A*COSq) >= 1.0
"WELDGRP.xls" ProgramVersion 2.2
6 of 16 05/10/2023 18:32:03
ECCENTRIC LOADS ON RECTANGULAR WELD GROUPSBased on the Instantaneous Center of Rotation Method and Alternate Method 2
Using Table XXII from AISC 9th Ed. Manual (ASD) - page 4-78Job Name: Subject: ###
Job Number: Originator: Checker: ######
Input Data: ######
Horiz. Weld Length = 10.000 in. Pv=68 k ###Vertical Weld Length = 5.000 in. q = 0
1/2 in. = 8 (1/16's) aL=11 ###Vertical Load, Pv = 68.00 kips P=Pv
Horizontal Load, Ph = 0.00 kips kL = Co =Dist. from Pv to C.G. = 11.000 in. 5.000 C.G. C(max) =
Ph=0Nomenclature: L = 10
Ca =P = Pv = C*C1*D*L (for vertical load only) D(req'd) =P = allowable load on eccentric weld group (kips) L(req'd) =C = coefficient interpolated from Table XXIIC1 = coef. for electrode, use 1.0 for E70XX Interpolate for "C"D = number of 1/16's of an inch (weld size) TABLE XXII Coefficients, "C" (AISC Manual - page 4-78)L = horizontal weld length k
a###
Results: ###(Note: AISC Alternate Method 2 is not used for P=Pv) ###
L = 10.000 in. L = horizontal weld length ###kL = 5.000 in. kL = vertical weld length ###aL = 11.000 in. aL = dist. from Pv to C.G. ###
a = 1.100 a = (aL)/L ###k = 0.500 k = (kL)/L ###
C1 = 1.0 C1 = 1.0 for E70XX electrode ###C = 0.802 (interpolated from Table XXII) ###P = 68.00 kips P = SQRT(Pv^2+Ph^2) ###
0.000 deg. ###Co = N.A. Co = C (from AISC Table XXII) ###
C(max) = N.A. C(max) = 0.928*(2+2*k) ###A = N.A. A = C(max)/Co >= 1.0 ###
Ca/Co = N.A. ###Ca = N.A. Ca = (Ca/Co)*Co ###
D(req'd) = 8.479 1/16's D(req'd) = P/(C*C1*L) ###L(req'd) = 10.599 in. L(req'd) = P/(C*C1*D) ###
###Weld is overstressed! ###
D(req'd) = 8.479 > 8 (1/16's) ###L(req'd) = 10.599 > 10 in. ###
###k Index:
###
Weld Size, w =
Angle q = q = 90-(ATAN(Pv/Ph))
Ca/Co = A/(SINq+A*COSq) >= 1.0
"WELDGRP.xls" ProgramVersion 2.2
7 of 16 05/10/2023 18:32:03
ECCENTRIC LOADS ON C-SHAPED WELD GROUPSBased on the Instantaneous Center of Rotation Method and Alternate Method 2
Using Table XXIII from AISC 9th Ed. Manual (ASD) - page 4-79Job Name: Subject: ###
Job Number: Originator: Checker: ######
Input Data: ######
Vertical Weld Length = 10.000 in. 10.000 ###Horiz. Weld Length = 5.000 in. aL=8.75 ###
1/2 in. = 8 (1/16's) ###Vertical Load, Pv = 23.29 kips Pv=23.29 k
Horizontal Load, Ph = 86.93 kips 75Dist. from Pv to Weld = 10.000 in. C(max) =
P=90 kNomenclature: Ca/Co =
L= Ca =P = Ca*C1*D*L (for inclined load) 10.000 C.G. Ph=86.93 k (@ C.G.)D(req'd) =
L(req'd) =Ca = coefficient for inclined load, Alt. Method 2C1 = coef. for electrode, use 1.0 for E70XX Interpolate for "C"D = number of 1/16's of an inch (weld size) xL=1.25 3.75TABLE XXIII Coefficients, "C" (AISC Manual - page 4-79)L = vertical weld length k
kL=5 a###
Results: ###(Note: AISC Alternate Method 2 is used for inclined load) ###
L = 10.000 in. L = vertical weld length ###kL = 5.000 in. kL = horizontal weld length ###xL = 1.250 in. xL = ((kL)^2/(2*kL+L)) ###aL = 8.750 in. aL = (Dist. to Pv)-(xL) ###
a = 0.875 a = (aL)/L ###k = 0.500 k = (kL)/L ###
C1 = 1.0 C1 = 1.0 for E70XX electrode ###C = 0.704 (interpolated from AISC Table XXIII, page 4-79) ###P = 90.000 kips P = SQRT(Pv^2+Ph^2) ###
75.002 deg. ###Co = 0.704 Co = C (from AISC Table XXIII, page 4-79) ###
C(max) = 1.856 C(max) = 0.928*(1+2*k) ###A = 2.636 A = C(max)/Co >= 1.0 ###
Ca/Co = 1.600 ###Ca = 1.126 Ca = (Ca/Co)*Co ###
D(req'd) = 7.993 1/16's D(req'd) = P/(Ca*C1*L) ###L(req'd) = 9.991 in. L(req'd) = P/(Ca*C1*D) ###
###Weld is adequate! ###
D(req'd) = 7.993 <= 8 (1/16's) ###L(req'd) = 9.991 <= 10 in. ###
xk Index:
Weld Size, w =Angle q =
q =
P = allowable load on eccentric weld group (kips)
Angle q = q = 90-(ATAN(Pv/Ph))
Ca/Co = A/(SINq+A*COSq) >= 1.0
"WELDGRP.xls" ProgramVersion 2.2
8 of 16 05/10/2023 18:32:03
ECCENTRIC LOADS ON C-SHAPED WELD GROUPSBased on the Instantaneous Center of Rotation Method and Alternate Method 2
Using Table XXIV from AISC 9th Ed. Manual (ASD) - page 4-80Job Name: Subject: ###
Job Number: Originator: Checker: ######
Input Data: ######
Vertical Weld Length = 10.000 in. aL=8.75 ###Horiz. Weld Length = 5.000 in. 7.500 ###
1/2 in. = 8 (1/16's) Pv=23.29 k ###Vertical Load, Pv = 23.29 kips 75
Horizontal Load, Ph = 86.93 kips Co =Dist. from Pv to Weld = 7.500 in. P=90 k C(max) =
Pv=23.29 k A =Nomenclature: L=10 Ca/Co =
Ph=86.93 k Ca =P = Ca*C1*D*L (for inclined load) (@ C.G.) D(req'd) =P = allowable load on eccentric weld group (kips) L(req'd) =Ca = coefficient for inclined load, Alt. Method 2C1 = coef. for electrode, use 1.0 for E70XX xL=1.25 3.75 Interpolate for "C"D = number of 1/16's of an inch (weld size) TABLE XXIV Coefficients, "C" (AISC Manual - page 4-80)L = vertical weld length kL=5 k
a###
Results: ###(Note: AISC Alternate Method 2 is used for inclined load) ###
L = 10.000 in. L = vertical weld length ###kL = 5.000 in. kL = horizontal weld length ###xL = 1.250 in. xL = ((kL)^2/(2*kL+L)) ###aL = 8.750 in. aL = (Dist. to Pv)+(xL) ###
a = 0.875 a = (aL)/L ###k = 0.500 k = (kL)/L ###
C1 = 1.0 C1 = 1.0 for E70XX electrode ###C = 0.722 (interpolated from AISC Table XXIV, page 4-80) ###P = 90.000 kips P = SQRT(Pv^2+Ph^2) ###
75.002 deg. ###Co = 0.722 Co = C (from AISC Table XXIV, page 4-80) ###
C(max) = 1.856 C(max) = 0.928*(1+2*k) ###A = 2.571 A = C(max)/Co >= 1.0 ###
Ca/Co = 1.576 ###Ca = 1.138 Ca = (Ca/Co)*Co ###
D(req'd) = 7.909 1/16's D(req'd) = P/(Ca*C1*L) ###L(req'd) = 9.886 in. L(req'd) = P/(Ca*C1*D) ###
###Weld is adequate! ###
D(req'd) = 7.909 <= 8 (1/16's) ###L(req'd) = 9.886 <= 10 in. ###
xk Index:
Weld Size, w = q = Angle q =
Angle q = q = 90-(ATAN(Pv/Ph))
Ca/Co = A/(SINq+A*COSq) >= 1.0
"WELDGRP.xls" ProgramVersion 2.2
9 of 16 05/10/2023 18:32:03
ECCENTRIC LOADS ON L-SHAPED WELD GROUPSBased on the Instantaneous Center of Rotation Method and Alternate Method 2
Using Table XXV from AISC 9th Ed. Manual (ASD) - page 4-81Job Name: Subject: ###
Job Number: Originator: Checker: ######
Input Data: ### Pv=25 k ###
Vertical Weld Length = 11.500 in. 4.000 ###Horiz. Weld Length = 3.000 in. aL=3.69 q = 0
3/16 in. = 3 (1/16's) ###Vertical Load, Pv = 25.00 kips P=Pv
Horizontal Load, Ph = 0.00 kips C.G.Dist. from Pv to Weld = 4.000 in. Co =
L= Ph=0Nomenclature: 11.500 yL=4.56
Ca/Co =P = Pv = C*C1*D*L (for vertical load only) Ca =P = allowable load on eccentric weld group (kips) D(req'd) =C = coefficient interpolated from Table XXV xL=0.31 2.69 L(req'd) =C1 = coef. for electrode, use 1.0 for E70XX Interpolate for "C"D = number of 1/16's of an inch (weld size) kL= 3 TABLE XXV Coefficients, "C" (AISC Manual - page 4--81)L = vertical weld length k
aResults: ###
(Note: AISC Alternate Method 2 is not used for P=Pv) ###L = 11.500 in. L = vertical weld length ###
kL = 3.000 in. kL = horizontal weld length ###xL = 0.310 in. xL = (kL)^2/(2*(kL+L)) ###yL = 4.560 in. yL = L^2/(2*(kL+L)) ###aL = 3.690 in. aL = (Dist. to Pv)-(xL) ###
a = 0.321 a = (aL)/L ###k = 0.261 k = (kL)/L ###
C1 = 1.0 C1 = 1.0 for E70XX electrode ###C = 0.742 (interpolated from Table XXV) ###P = 25.00 kips P = SQRT(Pv^2+Ph^2) ###
0.000 deg. ###Co = N.A. Co = C (from AISC Table XXV) ###
C(max) = N.A. C(max) = 0.928*(1+k) ###A = N.A. A = C(max)/Co >= 1.0 ###
Ca/Co = N.A. ###Ca = N.A. Ca = (Ca/Co)*Co ###
D(req'd) = 2.930 1/16's D(req'd) = P/(C*C1*L) ###L(req'd) = 11.231 in. L(req'd) = P/(C*C1*D) ###
###Weld is adequate! ###
D(req'd) = 2.93 <= 3 (1/16's) ###L(req'd) = 11.231 <= 11.5 in. ###
xy
Weld Size, w =
Angle q =
Angle q = q = 90-(ATAN(Pv/Ph))
Ca/Co = A/(SINq+A*COSq) >= 1.0
"WELDGRP.xls" ProgramVersion 2.2
10 of 16 05/10/2023 18:32:03
ECCENTRIC LOADS ON L-SHAPED WELD GROUPSBased on the Instantaneous Center of Rotation Method and Alternate Method 2
Using Table XXV1 from AISC 9th Ed. Manual (ASD) - page 4-82Job Name: Subject: ###
Job Number: Originator: Checker: ######
Input Data: ### Pv=26 k ###
Vertical Weld Length = 11.500 in. aL=3.46 ###Horiz. Weld Length = 3.000 in. 3.150 ###
3/16 in. = 3 (1/16's) ###Vertical Load, Pv = 26.00 kips P=Pv P =
Horizontal Load, Ph = 0.00 kips C.G. yL=4.56Dist. from Pv to Weld = 3.150 in. Co =
Ph=0 L=Nomenclature: 11.500
Ca/Co =P = Pv = C*C1*D*L (for vertical load only) Ca =P = allowable load on eccentric weld group (kips) D(req'd) =C = coefficient interpolated from Table XXVI xL=0.31 2.69 L(req'd) =C1 = coef. for electrode, use 1.0 for E70XX Interpolate for "C"D = number of 1/16's of an inch (weld size) kL= 3 TABLE XXVI Coefficients, "C" (AISC Manual - page 4--82)L = vertical weld length k
aResults: ###
(Note: AISC Alternate Method 2 is not used for P=Pv) ###L = 11.500 in. L = vertical weld length ###
kL = 3.000 in. kL = horizontal weld length ###xL = 0.310 in. xL = (kL)^2/(2*(kL+L)) ###yL = 4.560 in. yL = L^2/(2*(kL+L)) ###aL = 3.460 in. aL = (Dist. to Pv)-(xL) ###
a = 0.301 a = (aL)/L ###k = 0.261 k = (kL)/L ###
C1 = 1.0 C1 = 1.0 for E70XX electrode ###C = 0.768 (interpolated from Table XXVI) ###P = 26.00 kips P = SQRT(Pv^2+Ph^2) ###
0.000 deg. ###Co = N.A. Co = C (from AISC Table XXVI) ###
C(max) = N.A. C(max) = 0.928*(1+k) ###A = N.A. A = C(max)/Co >= 1.0 ###
Ca/Co = N.A. ###Ca = N.A. Ca = (Ca/Co)*Co ###
D(req'd) = 2.944 1/16's D(req'd) = P/(C*C1*L) ###L(req'd) = 11.285 in. L(req'd) = P/(C*C1*D) ###
###Weld is adequate! ###
D(req'd) = 2.944 <= 3 (1/16's) ###L(req'd) = 11.285 <= 11.5 in. ###
xy
Weld Size, w = q
Angle q = q = 90-(ATAN(Pv/Ph))
Ca/Co = A/(SINq+A*COSq) >= 1.0
"WELDGRP.xls" ProgramVersion 2.2
11 of 16 05/10/2023 18:32:03
WELD GROUP ANALYSISUsing the Elastic Method for up to 24 Total Welds
###Job Name: Subject: ###
Job Number: Originator: Checker: ######
Input Data: ######
Number of Welds, Nw = 3 ###Weld Coordinates: ###
Start End ###X1 (in.) Y1 (in.) X2 (in.) Y2 (in.) ###
Weld #1 0.000 0.000 5.000 0.000 ###Weld #2 0.000 0.000 0.000 10.000 ###Weld #3 0.000 10.000 5.000 10.000 ###
#################################
Weld #23WELD GROUP PLOT
W40X167Weld Group Properties:
Lw = +Y 1=Start
2=End 1 2 2
Weld #3Weld #2
No. of Load Points = 1 Weld #1Load Point Data: 1 Iy =
Point #1 1 2 J =X-Coordinate (in.) = 3.000 0 +XY-Coordinate (in.) = 5.000 OriginZ-Coordinate (in.) = 0.000 +ZAxial Load, Pz (k) = 0.00 NOMENCLATURE
Shear Load, Px (k) = 86.93Shear Load, Py (k) = -23.29Moment, Mx (in-k) = 0.00Moment, My (in-k) = 0.00 W36X182Moment, Mz (in-k) = 0.00 W36X170
(continued)
S Ixo =S Iyo =
S Pz =S Px =S Py =S Mx =S My =S Mz =
0.0 2.0 4.0 6.0 8.0 10.0 12.0
0.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
X - AXIS (in.)
Y - A
XIS
(in.)
"WELDGRP.xls" ProgramVersion 2.2
12 of 16 05/10/2023 18:32:03
W36X150Results: W36X135
W33X387Weld Group Properties: W33X354
Lw = 20.000 in. 0.00 kips W33X318Xc = 1.250 in. 86.93 kips W33X291Yc = 5.000 in. -23.29 kips W33X263Ix = 333.33 in^3 0.00 in-k W33X241Iy = 52.08 in^3 0.00 in-k W33X221J = 385.42 in^3 -40.76 in-k W33X201
W33X169W33X152
Weld Forces (k/in.) W33X141Fw(1) Fw(2) W33X130
Weld #1 3.955 4.125 W33X118Weld #2 3.955 4.983 W30X391Weld #3 4.983 5.119 W30X357
W30X326W30X292W30X261W30X235W30X211W30X191W30X173W30X148W30X132W30X124W30X116W30X108W30X99W30X90W27X539
Required E70XX Weld Size: W27X178Fw(max) = 5.119 kips/in. W27X161
Fillet (leg) = 0.345 in. W27X146Throat (eff) = 0.244 in. W27X129
W27X114W27X102W27X94W27X84W24X370W24X335
S Loads @ C.G. of Weld Group:S Pz =S Px =S Py =S Mx =S My =S Mz =
FILLET WELD DATA TABLES
AISC Table J2.3 - Minimum Effective Throat Thickness ofPartial-Penetration Groove Welds
Material Thickness of Minimum Effective ThroatThicker Part Joined (in.) Thickness (in.)
To 1/4 Inclusive 1/8Over 1/4 to 1/2 3/16Over 1/2 to 3/4 1/4
Over 3/4 to 1-1/2 5/16Over 1-1/2 to 2-1/4 3/8
Over 2-1/4 to 6 1/2Over 6 5/8
AISC Table J2.4 - Minimum Size of Fillet WeldsMaterial Thickness of Minimum Size of
Thicker Part Joined (in.) Fillet Weld (in.)To 1/4 Inclusive 1/8Over 1/4 to 1/2 3/16Over 1/2 to 3/4 1/4
Over 3/4 5/16Notes: 1. Sizes of fillets welds shown are "leg" dimensions.
2. Single-pass welds must be used.
Allowable Force on Fillet Welds (k/in.)Weld Size (in.) Weld Force (for E70XX)
1/8 1.8563/16 2.7851/4 3.713
5/16 4.6413/8 5.569
7/16 6.4971/2 7.426
Note: Weld force is calculated by 0.928*D, where 'D' is thenumber of 1/16's of an inch for the weld size.
Intermittent Fillet Welds% of Continuous Weld Weld Length and Spacing (in.)
75 --- 3 - 4 ---66 --- --- 4 - 660 --- 3 - 5 ---50 2 - 4 3 - 6 4 - 844 --- --- 4 - 940 2 - 5 --- 4 - 1037 --- 3 - 8 ---33 2 - 6 3 - 9 4 - 1230 --- 3 -10 ---25 2 - 8 3 -12 ---20 2 - 10 --- ---16 2 - 12 --- ---
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