1
GATE ME 2016 Set 2
+2
-0.6
A rigid horizontal rod of length $$2L$$ is fixed to a circular cylinder of radius $$R$$ as shown in the figure. Vertical forces of magnitude $$P$$ are applied at the two ends as shown in the figure. The shear modulus for the cylinder is $$G$$ and the Young’s modulus is $$E.$$

The vertical deflection at point $$A$$ is

A
$$P{L^3}/\left( {\pi {R^4}G} \right)$$
B
$$P{L^3}/\left( {\pi {R^4}E} \right)$$
C
$$2P{L^3}/\left( {\pi {R^4}E} \right)$$
D
$$4P{L^3}/\left( {\pi {R^4}G} \right)$$
2
GATE ME 2016 Set 3
+2
-0.6
Two circular shafts made of same material, one solid $$(S)$$ and one hollow $$(H)$$, have the same length and polar moment of inertia. Both are subjected to same torque. Here. $${\theta _S}$$ is the twist and $${\tau _S}$$ is the maximum shear stress in the solid shaft, whereas $${\theta _H}$$ is the twist and $${\tau _H}$$ is the maximum shear stress in the hollow shaft. Which one of the following is TRUE?
A
$${\theta _S} = {\theta _H}$$ and $${\tau _S} = {\tau _H}$$
B
$${\theta _S} > {\theta _H}$$ and $${\tau _S} > {\tau _H}$$
C
$${\theta _S} < {\theta _H}$$ and $${\tau _S} < {\tau _H}$$
D
$${\theta _S} = {\theta _H}$$ and $${\tau _S} < {\tau _H}$$
3
GATE ME 2015 Set 2
Numerical
+2
-0
A hollow shaft of $$1$$ m length is designed to transmit a power of $$30$$ kW at $$700$$ rpm. The maximum permissible angle of twist in the shaft is $${1^0}.$$ The inner diameter of the shaft is $$0.7$$ times the outer diameter. The modulus of rigidity is $$80$$ GPa. The outside diameter (in mm) of the shaft is _______
4
GATE ME 2012
+2
-0.6
A solid circular shaft needs to be designed to transmit a torque of 50N.m. If the allowable shear stress of the material is $$140$$MPa, assuming a factor of safety of $$2,$$ the minimum allowable design diameter in mm is
A
$$8$$
B
$$16$$
C
$$24$$
D
$$32$$
GATE ME Subjects
EXAM MAP
Medical
NEET