Deflection of Beams · Strength of Materials · GATE ME

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Marks 1

GATE ME 2016 Set 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...
GATE ME 2012
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...
GATE ME 2008
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...
GATE ME 2005
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

GATE ME 2016 Set 3
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...
GATE ME 2016 Set 2
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...
GATE ME 2015 Set 2
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...
GATE ME 2015 Set 1
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 _______ . ...
GATE ME 2014 Set 4
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....
GATE ME 2014 Set 2
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...
GATE ME 2014 Set 2
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...
GATE ME 2014 Set 3
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...
GATE ME 2009
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...
GATE ME 2009
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...
GATE ME 2009
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...
GATE ME 2007
A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are ...
GATE ME 2004
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...
GATE ME 2004
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...
GATE ME 2003
A simply supported laterally loaded beam was found to deflect more than a specified value. Which of the following measures will reduce the deflection?
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