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 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 _______
3
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
$$32$$
4
GATE ME 2011
+2
-0.6
A torque $$T$$ is applied at the free end of a stepped rod of circular cross-sections as shown in the figure. The shear modulus of the material of the rod is $$G.$$ The expressions for diameter to produce an angular twist $$\theta$$ at the free end is A
$${\left( {{{32TL} \over {\pi \theta G}}} \right)^{{1 \over 4}}}$$
B
$${\left( {{{18TL} \over {\pi \theta G}}} \right)^{{1 \over 4}}}$$
C
$${\left( {{{16TL} \over {\pi \theta G}}} \right)^{{1 \over 4}}}$$
D
$${\left( {{{2TL} \over {\pi \theta G}}} \right)^{{1 \over 4}}}$$
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude
EXAM MAP
Joint Entrance Examination