GATE 2026 Civil Engineering Q38

Question

A plane truss consists of two linearly elastic, homogeneous, identical members, namely PQ and QR. Both members have length (L), cross-sectional area (A), and modulus of elasticity (E). The members are inclined at 45° as shown in the figure. The truss has hinge supports at P and R. The translational degrees-of-freedom (u and v) are shown at joint Q.
(Figure not to scale)
After application of the boundary conditions, the stiffness matrix of the truss becomes:

Accepted Answer

3

Answer

$\frac{AE}{L} \begin{bmatrix} 1 & 1 \ 1 & 1 \end{bmatrix}$

Answer

$\frac{AE}{L} \begin{bmatrix} 1 & 0.5 \ 0.5 & 1 \end{bmatrix}$

Answer

$\frac{AE}{L} \begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix}$

Answer

$\frac{AE}{L} \begin{bmatrix} 1 & -1 \ -1 & 1 \end{bmatrix}$