SSC JE Mechanical Engineering 27-Sep-2019 Shift 1 Paper

Torsion Equation:

T

J

=

τ

r

=

Gθ

1

Where,T= torque applied on the shaft in N−m
J=IXx+Iyy=

πd4

32

= polar moment of inertia m4
τ= shear stress in MPa,
r = radius of the shaft in m,
G= shear modulus or modulus of rigidity in MPa
θ= angle of twist in radian and
l= length of the shaft in m.
τmax occurs at rmax i.e at R.

T

J

=

τ

r

⇒τmax=

T

J

‌‌rmax=

T

πd4 32

.

d

2

=

16T

πd3