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Rotating Bodies - Stress

Stress in rotating disc and ring bodies

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Rotation Disc

Stress in a rotating disc can be expressed as

σz = ω2 r2 ρ / 3

   = v2 ρ / 3

   = (2 π n / 60)2 r2 ρ / 3                         (1)


σz = stress (Pa, N/m2)

ω = angular velocity (rad/s)

r = radius of disc (m)

ρ = density (kg/m3)

π = 3.14...

n= revolutions per minute (rpm)

Rotation Ring

Stress in a rotating ring can be expressed as

σz = ω2 ρ ( r12 + r1 r2 + r22) / 3                     (2)


r1 = outer radius of ring (m)

r2 = inner radius of ring (m)

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