Use our free Hollow Shaft Diameter Calculator to determine the optimal outer and inner diameters for your engineering designs. Input your applied torque, allowable shear stress, and inner-to-outer diameter ratio to ensure efficient material usage and structural integrity in various mechanical applications.
Formula:
Formulas Used:
The calculations for the required outer (Do) and inner (Di) diameters of a hollow shaft subjected to torque (T) and allowable shear stress (ฯallow), given an inner-to-outer diameter ratio (k), are as follows:
Do = 3โ [ (16 × T) / (ฯ × ฯallow × (1 - k4)) ]Di = k × Do
Variable Explanation:
Do: Required Outer Diameter (mm)Di: Required Inner Diameter (mm)T: Applied Torque (Nยทm)ฯallow: Allowable Shear Stress (MPa, N/mm2)k: Inner-to-Outer Diameter Ratio (Di / Do, dimensionless, 0 ≤ k < 1)ฯ: Pi (approximately 3.14159)