1
GATE ME 2015 Set 2
Numerical
+2
-0
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 modulus of elasticity of the material of the beam is 210 GPa. The magnitude of slope (in radian) at Q (20 mm from the fixed end) is ________
2
GATE ME 2015 Set 1
Numerical
+2
-0
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 _______ .
3
GATE ME 2014 Set 4
+2
-0.6
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. The deflection at point $$A$$ due to the applied load $$P$$ is
A
$${1 \over 3}\,{{P{L^3}} \over {EI}}$$
B
$${2 \over 3}\,{{P{L^3}} \over {EI}}$$
C
$${{P{L^3}} \over {EI}}$$
D
$${4 \over 3}\,{{P{L^3}} \over {EI}}$$
4
GATE ME 2014 Set 2
+2
-0.6
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 bending moment $$PL/2$$ are applied at the free end of the beam then the value of the slope at the free end is
A
$${1 \over 2}$$ $${{P{L^2}} \over {EI}}$$
B
$${{P{L^2}} \over {EI}}$$
C
$${3 \over 2}$$ $${{P{L^2}} \over {EI}}$$
D
$${5 \over 2}$$ $${{P{L^2}} \over {EI}}$$
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