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Shaft with Four Keyways Torque Applied Deformation and Stress Equations and Calculator
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Torque Applied Deformation and Stress of a Shaft with Four Keyways Equations and Calculator
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Torque Applied Deformation and Stress of a Shaft with Four Keyway Section Calculator
K = 2Cr4
Varies with b / r as follows
For:
0 ≤ b / r ≤ 0.4
Where 0.3 ≤ a / b ≤ 1.2
Angle of Twist under applied Torque Moment
θ = ( T L ) / ( K G )
Shear Stress Maximum
At M:
Where B varies with b / r as follows:
for 0.2≤ b / r ≤ 0.4
for 0.5 ≤ a / b ≤ 1.2
Where:
θ = angle of twist (radians),
T = Twisting or torque moment force-length, (in-lbs, N-mm),
L = Length of Section (in, mm),
h = Length as Indicated (in, mm),
r = radius (in, mm),
a,b = Distance as shown (in, mm),
τ = Unit shear stress force / area (lbs/in2, N/mm2),
G = Modulus of rigidity force / area (lbs/in2, N/mm2),
K = Polar Moment of Inertia (in4, mm4) for section
Reference:
Roarks Formulas for Stress and Strain, 7th Edition, Table 10.1 Formulas for torsional deformation and stress.
Related:
The Shaft Design Book (Design Charts and Calculations for Torsional Properties of Non-Circular Shafts)
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