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A continuous beam ABC with span AB = BC = L is shown in the figure. Supports A is fixed type, and supports B and C are roller type. The kinematic indeterminacy of the beam is:

A continuous beam ABC with span AB = BC = L is shown in the figure. Supports A is fixed type, and supports B and C are roller type. The kinematic indeterminacy of the beam is: Correct Answer 4

Concepts:

The kinematic indeterminacy is given as

 Dk­ = 3j-r-m

j = no of joints

r = no of support reactions

m = no of axially rigid members 

Calculation:

No of Joints, j = 3

No of support reactions, r = 5 ( 3 at support A, 1 at each support B and C)

No of axially rigid members, m = 0 (assumed as not given in Question )

Dk­ = 3j-r-m

Dk = 3 × 3 – 5 – 0

∴ Dk = 4

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