Related Resources: calculators

Solid Shaft with Simple Bending Diameter Equation and Calculator

Beam Deflection and Stress Calculators with Formulas
Strength and Mechanics of Materials Menu

Diameter of Solid Shaft Subjected to Simple Bending Equation and Calculator

Eq. 1
D = [ 32 Mb / ( π σyd )] (1/3)

where

D = diameter of shaft, m (in)
Mb =
bending moment, Nm (lbf in)
σy =
stress (tensile or compressive), MPa (psi)

Related:

Source: Shigley, Joseph E., and Charles R. Mischke, Mechanical Engineering Design, 5th ed., New York: McGraw-Hill, 1989.