GATE CE

Deflection of Beams

Strength of Materials Or Solid Mechanics

(Past Years Questions)

Marks 1

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In a real beam, at an end, the boundary condition of zero slope and zero vertical displacement exists. In the correspond...
GATE CE 1992

Marks 2

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Two prismatic beams having the same flexural rigidity of $$1000\,kN$$-$${m^2}$$ are shown in the figures. If the mid-s...
GATE CE 2017 Set 2
A $$3$$ $$m$$ long simply supported beam of uniform cross section is subjected to a uniformly distributed load of $$w = ...
GATE CE 2016 Set 1
A simply supported reinforced concrete beam of length $$10$$ $$m$$ sags while undergoing shrinkage. Assuming a uniform c...
GATE CE 2015 Set 2
For the cantilever beam of span $$3$$ $$m$$ (shown below), a concentrated load of $$20$$ $$kN$$ applied at the free end ...
GATE CE 2014 Set 1
A simply supported beam is subjected to a uniformly distributed load of intensity $$w$$ per unit length. On half of the ...
GATE CE 2012
In the cantilever beam $$PQR$$ shown in figure below, the segment $$PQ$$ has flexural $$EI$$ and the segment $$QR$$ has ...
GATE CE 2010
In the cantilever beam $$PQR$$ shown in figure below, the segment $$PQ$$ has flexural $$EI$$ and the segment $$QR$$ has ...
GATE CE 2010
The stepped cantilever is subjected to moments, $$M$$ as shown in the figure below. The vertical deflection at the free ...
GATE CE 2008
Beam $$GHI$$ is supported by these pontoons as shown in the figure below. The horizontal cross sectional area of each po...
GATE CE 2008
Beam $$GHI$$ is supported by these pontoons as shown in the figure below. The horizontal cross sectional area of each po...
GATE CE 2008
A two span continuous beam having equal spans each of length $$L$$ is subjected to a uniformly distributed load $$\omega...
GATE CE 2007
A two span continuous beam having equal spans each of length $$L$$ is subjected to a uniformly distributed load $$\omega...
GATE CE 2007
Consider the beam $$AB$$ shown in the figure below. Part $$AC$$ of the beam is rigid while Part $$CB$$ has the flexural ...
GATE CE 2006
A $$''H''$$ Shaped frame of uniform flexural rigidity $$EI$$ is loaded as shown in the figure. The relative outward disp...
GATE CE 2003
In the propped cantilever beam carrying a uniformly distributed load of $$w$$-$$kN/m,$$ shown in the following figure, t...
GATE CE 2002
The bending moment (in $$kN$$-$$m$$ units) at the mid-span location $$X$$ in the beam with overhangs shown below is equ...
GATE CE 2001
A two span beam with an internal hinge is shown below. Conjugate beam corresponding to this beam is...
GATE CE 2000
For the structure shown below, the vertical deflection at point $$A$$ is given by ...
GATE CE 2000
A cantilever beam is shown in the figure. The moment to be applied at free end for zero vertical deflection at the point...
GATE CE 1998
A cantilever beam of span $$'L'$$ is loaded with a concentrated load $$'P'$$ at the free end. Deflection of the beam at ...
GATE CE 1997
A propped cantilever beam of span $$L,$$ is loaded with uniformly distributed load of intensity $$w/unit$$ length, all ...
GATE CE 1995
A cantilever beam of span $$l$$ subjected to a uniformly distributed load $$'w'$$ per unit length resting on a rigid pro...
GATE CE 1994
A simply supported beam of span length $$L$$ and flexural stiffness $$EI$$ has another spring support at the center span...
GATE CE 1993
A cantilever beam of span, $$'L'$$ is subjected to a downward load of $$800$$ $$kN$$ uniformly distributed over its leng...
GATE CE 1992
Two elastic rods $$AB$$ and $$BC$$ are hinged at $$B$$. The joint $$A$$ is a hinged one, joint $$C$$ is over a roller an...
GATE CE 1990

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