Q.

Calculate the kinematic indeterminacy of the following pin jointed plane frame.

A. 12
B. 13
C. 14
D. 15
Answer» B. 13
Explanation: the truss is supported by hinged support at one end and roller support at other end. hinged support in a pin jointed plane frame does not offers any degree of freedom as rotation is not considered. but roller support offers horizontal movement and hence degree of freedom is 1. for the given truss, it consists of six pin joint offering two degree of freedom each. therefore, the degree of freedom is 12 + 1 = 13.
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