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Determine the degree of static and kinematic indeterminacy of the frame structure as shown in the figure.

Determine the degree of static and kinematic indeterminacy of the frame structure as shown in the figure. Correct Answer 12, 10

Concept:

Degree of static determinacy is given by –

Ds = 3m – 3j + Re

Degree of kinematic indeterminacy is given by –

Dk = 3j – Re

Here,

m – number of members

j – number of joints

Re – number of external reactions

Calculation:

Given,

m = 11

j = 10

Re = 9

∴ Ds = 3(11) – 3(10) + 9 = 12

∴ Dk = 3(10) – 9 = 21

Since no option is correct for Dk.

We will be assuming that all the members are inextensible. There will be no elongation i.e. no translation displacement. 

∴ Dk = 21 – m = 21 – 11 = 10

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