Question Q.3:A portal frame ABCD is fixed at A and D, and is loaded as shown in figure below. Treating joints B and C as rigid, calculate the moments at A, B, C and D. Draw the bending moment diagram and sketch the deflected shape of the frame. Take El=constant 25KN/m бm B 3m 3m

RPPPCX The Asker · Civil Engineering

Transcribed Image Text: Q.3:A portal frame ABCD is fixed at A and D, and is loaded as shown in figure below. Treating joints B and C as rigid, calculate the moments at A, B, C and D. Draw the bending moment diagram and sketch the deflected shape of the frame. Take El=constant 25KN/m бm B 3m 3m
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Transcribed Image Text: Q.3:A portal frame ABCD is fixed at A and D, and is loaded as shown in figure below. Treating joints B and C as rigid, calculate the moments at A, B, C and D. Draw the bending moment diagram and sketch the deflected shape of the frame. Take El=constant 25KN/m бm B 3m 3m
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WTCEJM

Then is Axis of eymmetry along x then thes should not any sheay.Now quadtheta_(B)=theta_(C)Unknown rarrQ_(B).Fixed End rloment:-{:[mu_(F_(AB))=rq_(F_(BA))=rq_(FCD)=rq_(FDC)=0],[r_(q_(BC))=-(25 xx6^(2))/(12)=-75kN-m],[r_(F_(CB))=(25 xx6^(2))/(12)=75kN-m.]:}Slope defelection Eq.{:[r_(BA)=mu_(FBC)+(2EI)/(3)(2theta_(B)+theta_(A))],[r_(BA)=(4EItheta_(B))/(3)quad(theta_(A)=0,quadtheta_(BB)+(2EI)/(6)(2theta_(B)+theta_(C)):}],[r_(BC)=n_(BA)+(2xx E)/(6)*(2theta_(B)-theta_(B ... See the full answer