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Question

Assertion (A): In the analysis of pin-jointed plane frames, the force method is generally preferable to the displacement

method. 

Reason (R): The degrees of freedom for pin- jointed plane frames are generally much larger than the degrees of static

indeterminacy and thus force method requires less formulation and computation than the displacement method

A.
Both A and R are true and R is the correct explanation of A
B.
Both A and R are true and R is the not the correct explanation of A
C.
A is true but R is false
D.
A is false but R is true
Answer ( Option A)

Both A and R are true and R is the correct explanation of A

Solution

Correct Answer:

Both Assertion (A) and Reason (R) are true, and Reason (R) correctly explains Assertion (A).

For pin-jointed plane frames, the degree of static indeterminacy is generally smaller than the number of kinematic degrees

of freedom. Therefore, the force method involves fewer unknowns and requires less computation than the displacement

method

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