Assignment 15/8/20151. Draw the quantitative shear and bending moment diagrams for the beam shown in following fgure. EI is constant. Use Slope Defection method2. Draw the quantitative shear and bending moment diagrams, for the beam shown. Supportsettles 1! mm, and EI is constant. "a#e E $ 2!! %&a, I $ 2!!'1!( mm(. Slope Defection method). *or the frame shown, use the slope+defection method to,a-Determine the end moments of each member and reactions at supports.,b-Draw the quantitative bending moment diagram... *rom the frame shown use the slope+defection method to/,a-Determine the end moments of each member and reactions at supports,b-Draw the quantitative bending moment diagram1 | & a g e0. Draw the quantitative shear, bending moment diagrams for the frame shown using Slope Defection method. E $ 2!! %&a.(. 1nal2se the beam as shown in following fgurewith constant 34 using 5lape2ron6s three moment equation.7. Using 5lape2ron6s theorem, solve the problem of the continuous beam as shownin fgure. 34 is constant throughout.8. 1 continuous beam has overhangs on both sides as shown in below diagram.1ppl2 three moment equation to determine the support moments. 34 is constant throughout.2 | & a g e9. 1nal2se the three span continuous 15D with overhang D3 for the loading, end conditions , spans , fe'ural rigidit2 as shown in following fgure b2 appl2ing theorem of three moments. Draw the shear force and bending moment diagrams if supportand 5 settle b2 0mm and 1!mm. 34 $ 8!,!!! :; < m21!. *ind the support moments and reactions for the following continuous beam. "a#e 3i as constant.1. 1 simpl2 supported beam 1 is hinged at 1 and supported b2 roller at .1 moment=

is applied at . Determine the rotations at 1 anddue to applied moment =

. Use the method of virtual wor#.,1-3 | & a g e2. >rite down the equations stating strain energ2 stored in a member due to bending. ,?-). >hat do 2ou understand b2 dumm2 load method@,U-.. >rite =a'well6s law of reciprocal defections.,?-0. *ind the f'ed end moments for the following beam,1-Part B (8 +16 +16 = 40)(1-Determine the displacement at pointof a steel beam 3 $ 2!! %pa , 4 $ 0!!,1!(- mm.,1-,Ar-(,-1 cantilever beam 15 is f'ed at 1 and rigidl2 propped at 5 and is loaded as shown in the following fgure. *ind the reaction at 5(A)4 | & a g e7 1- Determine thehoriBontal displacement of point C on the frame and draw the bending moment diagram . E $ 2!! %&a I$ 2!!,1!(- mm.,1-,Ar-7 - Determine the slope and displacement of point B of the steel beam shown in the fgure below. "a#e E $ 2!! %&a, I $ (!,1!(- mm..,1-81-*rom the structure shown. Determine the displacement at C. "a#e E $ 2!! %&a, I $ 2!!,1!(- mm..,1-5 | & a g e,Ar-8- 5alculate the vertical defection of the Coint . "he cross+sectional area ofeach member is 18!! mm2 and Doung6s modulus, 3, for the material of the members is 2!! AAA ;Emm2. ,1-6 | & a g e