GATE CE 2026 Set 1 — Question 38
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Structural Engineering → Indeterminate Analysis & Influence Lines → Matrix Methods
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Question
A plane truss consists of two linearly elastic, homogeneous, identical members, namely PQ and QR. Both members have length (), cross-sectional area (), and modulus of elasticity (). The members are inclined at as shown in the figure. The truss has hinge supports at P and R. The translational degrees-of-freedom ( and ) are shown at joint Q.
(Figure not to scale)After application of the boundary conditions, the stiffness matrix of the truss becomes:

Correct answer
(C) (AE)/(L) bmatrix 1 & 0 \ 0 & 1 bmatrix
Solution
The stiffness matrix for a truss member in global coordinates is .For member PQ, :For member QR, :The global stiffness matrix at joint Q is the sum of the contributions from both members:
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