## Determine the maximum shear stress and angle of twist, Mechanical Engineering

Assignment Help:

Determine the maximum shear stress and angle of twist:

A hollow circular shaft of 6 m length and inner & outer diameter ois equal to 80 mm and

100 mm is subjected to a torque of 20 kN-m. If G = 80 GPa, determine the maximum shear stress and the angle of twist.

Solution

l = 6 m;            do = 100 mm;  di = 80 mm

T = 20 kN-m = 20 × 103 N-m

G = 80 GPa = 0.8 × 1011 N/m2

R = 50 mm

Z P       = J / R = 5.8 × 10-6 /0.05   = 1.16 × 10- 4 m3

T/ J = τmax / R     = G θ/ l

τmax = T /ZP =    20 × 103 / 1.16 × 10- 4

= 17.2 × 107 N/m2

= 172 N/mm2

θ= τmax /R ×  (l/G) = 172 × 10 6 /0.05 × (6/ (0.8 × 1011))

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