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Analysis the rigid jointed plane frame as shown in figure, using Flexibility Method. Draw BMD, SFD and deflected shape.
written 9.1 years ago by gravatar for teamques10 teamques10 ★ 70k modified 4.1 years ago by gravatar for krithikkm200 krithikkm200 • 10

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Mumbai University > Civil Engineering > Sem 5 > Structural Analysis – II

Marks: 12 Marks

Year: May 2015
structural analysis
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written 9.1 years ago by gravatar for teamques10 teamques10 ★ 70k

Degree of Static Indeterminancy.

Ds = R-E = 4-3 = 1

Assuming Ds = Number of redundant force R

Portion Origin Limit Mxx M1
DC D 0-2 0 0
BC C 0-4 -10X²/2 = -5X² +X
BA B 0-5 -20X – 1042 = -20X-80 4

ΔL1 $= ∫ Mxx * M1 dx/EI \\ = ∫0-4 (-5X²) * (+X) dx / EI + ∫0-5 (-20X – 80 ) dx / EI \\ = - 2920 / EI$

δ11 $= ∫ M1 M1 dx / EI \\ = ∫0 -4 ( X )² dx/EI + ∫0-5 ( 4 )² dx / EI \\ = 101.33 / EI$

Actual displacement at redundant = 0

[ D ] = [ ΔL1 ] + δ11 * R1

0 = - 2920 / EI + 101.33 / EI * R1

R1 = 2920 / 101.33 = 28.21 KN

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