Analysis the rigid jointed plane frame

 

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

 

 

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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