1
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
Two people weighing W each are sitting on a plank of length $$L$$ floating on water at $$L/4$$ from either end. Neglecting the weight of the plank, the bending moment at the center of the plank is
A
$${{WL} \over 8}$$
B
$${{WL} \over {16}}$$
C
$${{WL} \over {32}}$$
D
zero
2
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
For the simply supported beam of length $$L,$$ subjected to a uniformly distributed moment $$(M)$$ $$kN$$-$$m$$ per unit length as shown in the figure, the bending moment (in $$kN$$-$$m$$) at the mid-span of the beam is
A
zero
B
$$M$$
C
$$ML$$
D
$$M/L$$
3
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
A solid circular shaft of diameter d and length $$L$$ is fixed at one end and free at the other end. A torque t is applied at the free end. The shear modulus of the material is $$G.$$ The angle of twist at three free ends is
A
$${{16TL} \over {\pi {d^4}G}}$$
B
$${{32TL} \over {\pi {d^4}G}}$$
C
$${{64TL} \over {\pi {d^4}G}}$$
D
$${{128TL} \over {\pi {d^4}G}}$$
4
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
In the cantilever beam $$PQR$$ shown in figure below, the segment $$PQ$$ has flexural $$EI$$ and the segment $$QR$$ has infinite flexural rigidity

The deflection and slope of the beam at $$'Q'$$ are respectively

A
$${{5W{L^3}} \over {6EI}}$$ and $${{3W{L^2}} \over {2EI}}$$
B
$${{W{L^3}} \over {6EI}}$$ and $${{W{L^2}} \over {2EI}}$$
C
$${{W{L^3}} \over {2EI}}$$ and $${{W{L^2}} \over {EI}}$$
D
$${{W{L^3}} \over {3EI}}$$ and $${{3W{L^2}} \over {2EI}}$$
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