1
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 _______
2
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
$$32$$
3
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
$${\left( {{{2TL} \over {\pi \theta G}}} \right)^{{1 \over 4}}}$$
4
GATE ME 2009
+2
-0.6
A solid shaft of diameter, $$d$$ and length, $$L$$ is fixed at both the ends. A torque, $${T_0}$$ is applied at a distance, $$L/4$$ from the left end as shown in the figure below.

The maximum shear stress in the shaft is

A
$${{16{T_0}} \over {\pi {d^3}}}$$
B
$${{12{T_0}} \over {\pi {d^3}}}$$
C
$${{8{T_0}} \over {\pi {d^3}}}$$
D
$${{4{T_0}} \over {\pi {d^3}}}$$
GATE ME Subjects
EXAM MAP
Medical
NEET