GATE ME
Strength of Materials
Deflection of Beams
Previous Years Questions

## Marks 1

A cantilever beam having square cross-section of side $$a$$ is subjected to an end load. If a is increases by $$19$$%, the tip deflection decreases ap...
A cantilever beam of length $$L$$ is subjected to a moment $$M$$ at the free end. The moment of inertia of the beam cross section about the neutral ax...
A cantilever type gate hinged at $$Q$$ is shown in the figure. $$P$$ and $$R$$ are the centers of gravity of the cantilever part and the counterweight...
Two identical cantilever beams are supported as shown, with their free ends in contact through a rigid roller. After the load P is applied, the free e...

## Marks 2

A beam of length $$L$$ is carrying a uniformly distributed load $$w$$ per unit length. The flexural rigidity of the beam is $$EI$$. The reaction at th...
A simply supported beam of length $$2L$$ is subjected to a moment $$M$$ at the mid-point $$x = 0$$ as shown in the figure. The deflection in the domai...
A cantilever beam with square cross-section of 6 mm side is subjected to a load of 2kN normal to the top surface as shown in figure. The Young’s modul...
A cantilever beam with flexural rigidity of 200 N.m2 is loaded as shown in the figure. The deflection (in mm) at the tip of the beam is _______ . ...
A frame is subjected to a load $$P$$ as shown in the figure. The frame has a constant flexural rigidity $$EI$$. The effect of axial load is neglected....
A cantilever beam of length, $$L,$$ with uniform cross-section and flexural rigidity $$EI,$$ is loaded uniformly by a vertical load, $$w$$ per unit l...
The flexural rigidity $$(EI)$$ of a cantilever beam is assumed to be constant over the length of the beam as shown in figure. If a load $$P$$ and bend...
A force $$P$$ is applied at a distance $$x$$ from the end of the beam as shown in the figure. What would be the value of $$x$$ so that the displacemen...
A triangular-shaped cantilever beam of uniform- thickness is shown in the figure. The young's modulus of the material of the beam is $$E$$. $$A$$ conc...
A frame of two arms of equal length $$L$$ is shown in the adjacent figure. The flexural rigidity of each arm of the frame is $$EI$$. The vertical defl...
A triangular-shaped cantilever beam of uniform- thickness is shown in the figure. The young's modulus of the material of the beam is $$E$$. $$A$$ conc...
A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are ...
A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figure. Assume modulus of elasticity as 200 GPa. The beam is subjected to...
A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figure. Assume modulus of elasticity as 200 GPa. The value of maximum de...
A simply supported laterally loaded beam was found to deflect more than a specified value. Which of the following measures will reduce the deflection?
EXAM MAP
Joint Entrance Examination