GATE CE
Strength of Materials Or Solid Mechanics
Deflection of Beams
Previous Years Questions

## Marks 1

In a real beam, at an end, the boundary condition of zero slope and zero vertical displacement exists. In the corresponding conjugate beam, the bounda...

## Marks 2

Two prismatic beams having the same flexural rigidity of $$1000\,kN$$-$${m^2}$$ are shown in the figures. If the mid-span deflections of these beams...
A $$3$$ $$m$$ long simply supported beam of uniform cross section is subjected to a uniformly distributed load of $$w = 20$$ $$kN/m$$ in the central \$...
A simply supported reinforced concrete beam of length $$10$$ $$m$$ sags while undergoing shrinkage. Assuming a uniform curvature of $$0.004\,\,{m^{ - ... For the cantilever beam of span$$3m$$(shown below), a concentrated load of$$20kN$$applied at the free end causes a vertical displacement... A simply supported beam is subjected to a uniformly distributed load of intensity$$w$$per unit length. On half of the span from one end. The length ... In the cantilever beam$$PQR$$shown in figure below, the segment$$PQ$$has flexural$$EI$$and the segment$$QR$$has infinite flexural rigidity T... In the cantilever beam$$PQR$$shown in figure below, the segment$$PQ$$has flexural$$EI$$and the segment$$QR$$has infinite flexural rigidity T... The stepped cantilever is subjected to moments,$$M$$as shown in the figure below. The vertical deflection at the free end (neglecting the self weigh... Beam$$GHI$$is supported by these pontoons as shown in the figure below. The horizontal cross sectional area of each pontoon is$$8\,\,{m^2},$$the f... Beam$$GHI$$is supported by these pontoons as shown in the figure below. The horizontal cross sectional area of each pontoon is$$8\,\,{m^2},$$the f... A two span continuous beam having equal spans each of length$$L$$is subjected to a uniformly distributed load$$\omega $$per unit length. The beam ... A two span continuous beam having equal spans each of length$$L$$is subjected to a uniformly distributed load$$\omega $$per unit length. The beam ... Consider the beam$$AB$$shown in the figure below. Part$$AC$$of the beam is rigid while Part$$CB$$has the flexural rigidity$$EI$$. Identify the ... A$$''H''$$Shaped frame of uniform flexural rigidity$$EI$$is loaded as shown in the figure. The relative outward displacement between points$$K$$... In the propped cantilever beam carrying a uniformly distributed load of$$w$$-$$kN/m,$$shown in the following figure, the reaction at the support$$'...
The bending moment (in $$kN$$-$$m$$ units) at the mid-span location $$X$$ in the beam with overhangs shown below is equal ...
A two span beam with an internal hinge is shown below. Conjugate beam corresponding to this beam is...
For the structure shown below, the vertical deflection at point $$A$$ is given by ...
A cantilever beam is shown in the figure. The moment to be applied at free end for zero vertical deflection at the point is ...
A cantilever beam of span $$'L'$$ is loaded with a concentrated load $$'P'$$ at the free end. Deflection of the beam at the free end is
A propped cantilever beam of span $$L,$$ is loaded with uniformly distributed load of intensity $$w/unit$$ length, all through the span. Bending mome...
A cantilever beam of span $$l$$ subjected to a uniformly distributed load $$'w'$$ per unit length resting on a rigid prop at the tip of cantilever. Th...
A simply supported beam of span length $$L$$ and flexural stiffness $$EI$$ has another spring support at the center span of stiffness $$K$$ as shown i...
A cantilever beam of span, $$'L'$$ is subjected to a downward load of $$800$$ $$kN$$ uniformly distributed over its length and a concentrated upward l...
Two elastic rods $$AB$$ and $$BC$$ are hinged at $$B$$. The joint $$A$$ is a hinged one, joint $$C$$ is over a roller and the joint $$B$$ is supporte...
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