Drive shaft under combined bending and torsion
Bending stress, torsional stress and von Mises equivalent stress for a solid or hollow drive shaft loaded simultaneously in bending and torsion.
Second moment of area, I_x7.85 10⁻⁹ m⁴
Polar moment of area, I_p = 2I_x15.71 10⁻⁹ m⁴
Bending stress, σ = M/W_x127.32 10⁶ Pa
Torsional stress, τ = T/(2W_x)63.66 10⁶ Pa
Von Mises equivalent stress, σₑ = √(σ² + 3τ²)168.43 10⁶ Pa
Method & references
- Combined bending and torsion of a solid or hollow drive shaft — von Mises equivalent stress.
The computation is a literal port of the original client-side JavaScript from /calculators/t14_8d.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.