Rotating Bodies - Stress
Stress in rotating disc and ring bodies.
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Stress in a Rotating Disc
Stress in a rotating disc can be calculated as
σz = ω2 r2 ρ / 3
= v2 ρ / 3
= (2 π n / 60)2 r2 ρ / 3 (1)
where
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)
Stress in a Rotating Ring
Stress in a rotating ring can be calculated as
σz = ω2 ρ ( r12 + r1 r2 + r22) / 3 (2)
where
r1 = outer radius of ring (m)
r2 = inner radius of ring (m)
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