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1
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+2
-0.833

A homogeneous shaft PQR with fixed supports at both ends is subjected to a torsional moment T at point Q, as shown in the figure. The polar moments of inertia of the portions PQ and QR of the shaft with circular cross-sections are $J_1$ and $J_2$, respectively. The torsional moment reactions at the supports P and R are $T_P$ and $T_R$, respectively.

GATE CE 2024 Set 1 Strength of Materials Or Solid Mechanics - Torsion Question 3 English

If $T_P/T_R = 4$ and $J_1/J_2 = 2$, the ratio of the lengths $L_1/L_2$ is:

A

0.50

B

0.25

C

4.00

D

2.00

2
GATE CE 2017 Set 2
Numerical
+2
-0
A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and inner diameter of $$50mm.$$ If the allowable shear stress is $$125$$ $$MPa$$, the maximum torque (in $$kN$$-$$m$$) that the shaft can resist is ___________
Your input ____
3
GATE CE 2011
MCQ (Single Correct Answer)
+2
-0.6
For the cantilever bracket, $$PQRS,$$ loaded as shown in the adjoining figure $$(PQ=RS=L,$$ and $$QR=2L),$$ which of the following statements is FALSE ? GATE CE 2011 Strength of Materials Or Solid Mechanics - Torsion Question 5 English
A
The portion $$RS$$ has a constant twisting moment with a value of $$2WL.$$
B
The portion $$QR$$ has a varying twisting moment with a maximum value of $$WL.$$
C
The portion $$PQ$$ has a varying bending moment with a maximum value of $$WL$$.
D
The portion $$PQ$$ has no twisting moment.
4
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
$${{128TL} \over {\pi {d^4}G}}$$
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