GATE (CE) 2022 : Strength Of Materials Quiz #9

Statement 1: If the deflection at point A due to 5 KN load applied at B is 3 mm, then the deflection at B due to a unit load at A will be 15 mm.

Statement 2: Maxwell's reciprocal theorem states that deflection at a point A due to unit load at B will be equal to deflection at point B due to unit load at A

A cantilever beam of span L is subjected to a moment M at its mid span. The strain energy stored in the beam due to the loading is

A propped cantilever beam of span L is subjected to a Moment M at mid span. The reaction at the propped end will be

The deflection at C due to loading as shown below will be

A simply supported beam of span 4 m is subjected to a point load at its centre. If the rotation at support due to the loading is 0.0135 radian then the deflection at the centre of beam will be

The strain energy stored in a material per unit volume subjected to pure shear q is

(All symbols have their usual meaning)