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GATE Exam Questions

Q1:
The degree of static indeterminacy of the rigid frame having two internal hinges as shown in the figure below, is

A 8

B 7

C 6

D 5

ANS:D - 5

Ds=Dse+Dsi.
Dse= no.Of reactions(r) - no.of equilibrium equn(s)
Dse= 4 - 3.
Dse= 1

Dsi= 3( no of closed-loop in a structure) -releases( when a hinge is present between members)

i.e, if the hinge is present between 2 members= m-1=2-1=1.
Dsi = 3C-1-1= 3(2)-2 = 6 - 2 = 4.
Ds = 1 + 4 = 5.



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