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What is the degree of kinematic indeterminacy of the beam shown in figure above

What is the degree of kinematic indeterminacy of the beam shown in figure above Correct Answer 5

Concept:

Degree of Kinematic Indeterminacy:

Degree of kinematic indeterminacy (Dk) refers to the total number of independent available degree of freedom of all joints. The degree of kinematic indeterminacy may be defined as the total number of unrestrained displacement component of all joints.

Degree of kinematic indeterminacy for rigid jointed plane frame and beam is given by,

Dk = 3j -re

Where, j = Number of joint, re = Number of external recation

Calculation:

Degree of kinematic indeterminacy (Dk) = 3j - re

Here, j = 3 and re = 4

Dk = 3 × 3 - 4 = 5

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