1
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
$${{128TL} \over {\pi {d^4}G}}$$
2
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 GATE CE 2010 Strength of Materials Or Solid Mechanics - Deflection of Beams Question 5 English

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 $${{3W{L^2}} \over {2EI}}$$
3
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 GATE CE 2010 Strength of Materials Or Solid Mechanics - Deflection of Beams Question 4 English

The deflection of the beam at $$' R '$$ is

A
$${{8W{L^3}} \over {EI}}$$
B
$${{5W{L^3}} \over {6EI}}$$
C
$${{7W{L^3}} \over {3EI}}$$
D
$${{8W{L^3}} \over {6EI}}$$
4
GATE CE 2010
MCQ (Single Correct Answer)
+1
-0.3
The effective length of a column of length $$L$$ fixed against rotation and translation at one end is
A
$$0.5$$ $$L$$
B
$$0.7$$ $$L$$
C
$$1.414$$ $$L$$
D
$$2$$ $$L$$
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