List of top Solid Mechanics Questions asked in GATE Engineering Sciences

A massless rigid rod $OP$ of length $L$ is hinged frictionlessly at $O$. A concentrated mass $m$ is attached to end $P$ of the rod. Initially, the rod $OP$ is horizontal. Then, it is released from rest. There is gravity as shown. The rod acquires an angular velocity as it swings. The clockwise angular velocity of the rod, when it first reaches the vertical position as shown, is:

The state of strain at a point in a machine component is given as \[ \varepsilon_{xx} = 2.5 \times 10^{-4}, \varepsilon_{yy} = 2.0 \times 10^{-4}, \varepsilon_{zz} = -1.5 \times 10^{-4}, \] \[ \varepsilon_{xy} = 2.5 \times 10^{-4}, \varepsilon_{yz} = -0.5 \times 10^{-4}, \varepsilon_{zx} = -1.0 \times 10^{-4}. \] The volumetric strain at this point is .............

Two equivalent descriptions of the state of stress at a point are shown in the figure. The normal stresses $\sigma_1$ and $\sigma_2$ as shown on the right must be, respectively,

A plane truss is simply supported at $P$ and $R$ as shown. A downward force $F$ is applied at hinge $Q$. The axial force developed in member $PS$ is: