Question

1. (40 pts.) HingeHinge 6 m 6 m 6 m 6 m Consider the given continuous beam above and a) Use Müller Breslau Principle and draw the influence lines of the vertical support reaction at C, shear force at B and moment at B. Calculate the ordinates at the points A, B, C, D, E, F and G. (30 pts.) e the maximum positive shear force at B considering the following loading below. Also show what will be the loading: (10 pts.) uniform live load WLL-9 kN/m uniform dead load WDL-2 kN/m and concentrated live load PLL-80 kN

Answer 1

Given Solcn) G E F Gm Gm 6m Gm G m Br 05-ye 3c LLD Fes s F.at B yD

Remove Rc and Lift beam aL C 丶3) c) di nate, A and E, G -o, since they greSu ) Joint A to C and continue Line upto jcint D Then Joint to E 、 s) LLD Re is shown in 6 2 12 12_ 6 12 12 LLD for sheas Foce at B Remove shear esistance at B and app) at A and C, as shown in mork σδ dina te hguse and dsaw dotted ine , oint AN and mc. tend me uplo D due to hinge atoD frø S. F. at E ,s Shown in fig

F and G ne zeo Since the ae uppls Bm 6 ending moment o O Inbsoduce hinge at e Give unit tation at D in the diseotionof a codina te s at A, C, Eand G ニO、Since aoe suppots 6 6 2 N and! nate at D= yp dinale at F o