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1
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+1
-0.33

A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A torque T = 100 kN.m is applied at the free end. The shear modulus and polar moment of inertia of the section are denoted as G and J, respectively. The torsional rigidity GJ is 50,000 kN.m2 /rad. The following are reported for this shaft:

Statement i) The rotation at the free end is 0.01 rad

Statement ii) The torsional strain energy is 1.0 kN.m

With reference to the above statements, which of the following is true?

A
Both the statements are correct
B
Statement i) is correct, but Statement ii) is wrong
C
Statement i) is wrong, but Statement ii) is correct
D
Both the statements are wrong
2
GATE CE 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be 30.0 MPa. The value of maximum shear stress at this point is

A
7.5 MPa
B
15.0 MPa
C
30 MPa
D
22.5 MPa
3
GATE CE 2006
MCQ (Single Correct Answer)
+1
-0.3
A long shaft of diameter $$d$$ is subjected to twisting moment $$T$$ at its ends. The maximum normal stress acting at its cross-section is equal to
A
zero
B
$${{16T} \over {\pi {d^3}}}$$
C
$${{32T} \over {\pi {d^3}}}$$
D
$${{64T} \over {\pi {d^3}}}$$
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