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List of top Structural Analysis Questions on Trusses asked in GATE CE

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
  • GATE CE - 2026
  • GATE CE
  • Structural Analysis
  • Trusses
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:
  • GATE CE - 2026
  • GATE CE
  • Structural Analysis
  • Trusses

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

  • GATE CE - 2023
  • GATE CE
  • Structural Analysis
  • Trusses

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 $k$? 

  • GATE CE - 2023
  • GATE CE
  • Structural Analysis
  • Trusses