List of top Structures Questions on Trusses and Equilibrium asked in GATE AE

A prismatic vertical column of cross-section $ a \times 0.5a $ and length $ l $ is rigidly fixed at the bottom and free at the top. A compressive force $ P $ is applied along the centroidal axis at the top surface. The Young’s modulus of the material is 200 GPa and the uniaxial yield stress is 400 MPa. If the critical value of $ P $ for yielding and for buckling of the column are equal, the value of $ \frac{l}{a} $ is __________ (rounded off to one decimal place).

For a three-bar truss loaded as shown in the figure, the magnitude of the force in the horizontal member AB is __________ N (answer in integer).

For a three-bar truss loaded as shown in the figure, the magnitude of the force in the horizontal member AB is ____________ N (answer in integer).

A prismatic vertical column of cross-section $ a \times 0.5a $ and length $ l $ is rigidly fixed at the bottom and free at the top. A compressive force $ P $ is applied along the centroidal axis at the top surface. The Young’s modulus of the material is 200 GPa and the uniaxial yield stress is 400 MPa. If the critical value of $ P $ for yielding and for buckling of the column are equal, the value of $ \frac{l}{a} $ is ____________ (rounded off to one decimal place).

For a three-bar truss loaded as shown in the figure, the magnitude of the force in the horizontal member AB is _________ N (answer in integer).

For a three-bar truss loaded as shown in the figure, the magnitude of the force in the horizontal member AB is \_\_\_\_ N (answer in integer).
\includegraphics[width=0.5\linewidth]{56.png}

A prismatic vertical column of cross-section $ a \times 0.5a $ and length $ l $ is rigidly fixed at the bottom and free at the top. A compressive force $ P $ is applied along the centroidal axis at the top surface. The Young’s modulus of the material is 200 GPa and the uniaxial yield stress is 400 MPa. If the critical value of $ P $ for yielding and for buckling of the column are equal, the value of $ \frac{l}{a} $ is \_\_\_\_ (rounded off to one decimal place).
\includegraphics[width=0.5\linewidth]{58.png}

For a three-bar truss loaded as shown in the figure, the magnitude of the force in the horizontal member AB is \_\_\_\_ N (answer in integer).
\includegraphics[width=0.5\linewidth]{56.png}

A prismatic vertical column of cross-section $ a \times 0.5a $ and length $ l $ is rigidly fixed at the bottom and free at the top. A compressive force $ P $ is applied along the centroidal axis at the top surface. The Young’s modulus of the material is 200 GPa and the uniaxial yield stress is 400 MPa. If the critical value of $ P $ for yielding and for buckling of the column are equal, the value of $ \frac{l}{a} $ is \_\_\_\_ (rounded off to one decimal place).
\includegraphics[width=0.5\linewidth]{58.png}

In the figure shown below, the magnitude of internal force in member BC is .................. N (rounded off to 1 decimal place).

A rigid bar $AB$ of length 3 m is subjected to a uniformly distributed load of $100 \,\text{N/m}$. The bar is supported at $A$ (pin) and by rod $CD$ connected at $D$. The rod $CD$ has axial stiffness $40 \,\text{N/mm}$, and $C$ is pinned. Find the vertical deflection at point $D$ (in mm).

A horizontal load $F$ is applied at point R on a two-member truss, as shown in the figure. Both the members are prismatic with cross-sectional area $A_0$, and made of the same material with Young's modulus $E$. The horizontal displacement of point R is:

A three-member truss is simply supported at Q and R, and loaded at P by a horizontal force $ F $ as shown. The force in QR is