List of top Structural Analysis Questions asked in GATE CE

A simply supported, linearly elastic, homogeneous, prismatic beam of length $L$ and flexural rigidity $EI$ is shown in the figure.

The expression for the Influence Line Diagram (ILD) of the rotation $\theta_B(x)$ at the support B is

The plane truss shown in the figure is hinge-supported at E and F. The truss is subjected to vertical downward force at R and horizontal force at G.

(Figure not to scale)
The force (in kN) along with its nature in member JF is

The plane frame has a hinge and a roller support, and is loaded as shown in the figure. Both the columns have same height.

(Figure not to scale)
What is the absolute value of the maximum bending moment (in kN-m) in the frame?

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 $45^{\circ}$ 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:

Consider the following three structures (shown):

Which of the following statements is/are TRUE?

An idealised bridge truss is shown in the figure. The force in Member U2L3 is kN (round off to one decimal place).}

Consider the pin-jointed truss shown (not to scale). All members have the same axial rigidity, $AE$. Members $QR,\;RS,\;ST$ have the same length $L$. Angles $QBT,\;RCT,\;SDT$ are $90^\circ$ and angles $BQT,\;CRT,\;DST$ are $30^\circ$. A vertical load $P$ acts at joint $T$. If the vertical deflection of joint $T$ is $ \displaystyle \Delta_T=k\,\frac{PL}{AE}$, what is the value of $k$?

Muller-Breslau principle is used in analysis of structures for

In the frame shown in the figure (not to scale), all four members (AB, BC, CD, and AD) have the same length and same constant flexural rigidity. All the joints A, B, C, and D are rigid joints. The midpoints of AB, BC, CD, and AD, are denoted by E, F, G, and H, respectively. The frame is in unstable equilibrium under the shown forces of magnitude $ P $ acting at E and G. Which of the following statements is/are TRUE?

For the frame shown in the figure (not to scale), all members (AB, BC, CD, GB, and CH) have the same length, L, and flexural rigidity, EI. The joints at B and C are rigid joints, and the supports A and D are fixed supports. Beams GB and CH carry uniformly distributed loads of w per unit length. The magnitude of the moment reaction at A is $\frac{wL^2}{k}$. What is the value of k (in integer)?