GATE 2024 Structural Analysis Rank Booster Quiz 26

Castigliano’s first theorem is applicable for

Select the appropriate expression for elastic strain energy due to bending for the beam given below. Assume EI as constant.

What are the vertical reactions at A, B and C in the continuous beam loaded as shown in fig below.

A load 600kN applied at point A, as shown in fig above, produces a vertical deflection at A, B and C of the beam as Δ_b = 10mm and Δ_c = 15mm respectively. What is the deflection at A when loads of 200 kN and 400kN are applied at B & C, respectively.

A rigid jointed plane frame is shown in the figure below. Horizontal deflection of end Ris given by:

[Assume EI = constant]

A frame EFG is shown in the figure. All members are prismatic and have equal flexural rigidity. The member FG carries a uniformly distributed load w per unit length. Axial deformation of any member is neglected.

Considering the join F being rigid, the support reaction at G is

The tangential rotation of point C of the frame shown in the figure is E = 200 GPa, I = 15 × 10⁶ mm⁴ for both the members.