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Estimate required solid or hollow circular-shaft diameter using torque, bending moment, service factors, and equivalent-stress criteria.
Required solid shaft diameter
48.2443 mm
Unit-normalization summary: 1,000 N*m; 1,000 N*m; 1.20000e+8 Pa
sigma_v=sqrt(sigma_b^2+3 tau_t^2); sigma_T=sqrt(sigma_b^2+4 tau_t^2)
sigma_b = 32M/(pi d^3), tau_t = 16T/(pi d^3), with hollow-shaft ratio correction where selected.
Mdesign = 1,000 N*m x 1
Tdesign = 1,000 N*m x 1
Use this as a preliminary circular-shaft sizing check. Fatigue, stress concentrations, and bearing support details often govern real shafts.
Shaft sizing balances transmitted torque, bending moment, allowable stress, geometry, and sometimes power-speed relationships. Equivalent stress or code-style interaction equations provide preliminary diameters, but keyways, fatigue, deflection, critical speed, fits, and manufacturing details require separate checks.
Shaft Design Calculator applies this concept to its defined inputs and workflow. This shaft design workflow connects torsion, bending stress, factor of safety, and fatigue review for early machine-element sizing. Its governing relationship or workflow is stated as follows: Circular-shaft sizing from bending stress, torsional shear stress, Von Mises, or Tresca equivalent stress.
The calculator evaluates Calculation mode, Material preset, and Display precision and returns Shaft Design, base-unit normalization, formula substitution, and calculation steps using the stated method. The selected units and sign or reference conventions must describe one consistent physical case. Users should interpret the output within the assumptions shown on the page and repeat the check with trusted reference values when the result affects engineering or research decisions. Preliminary static elastic sizing only.
| Symbol | Meaning | Unit |
|---|---|---|
| M | Bending moment | N*m |
| T | Torque | N*m |
| sigma_b | Extreme-fiber bending stress | Pa |
| tau_t | Torsional shear stress | Pa |
| sigma_v | Von Mises equivalent stress | Pa |
The shaft design workflow connects torsion, bending stress, factor of safety, and fatigue review for early machine-element sizing.
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Visit ScholarEaseThis tool is intended for educational, estimation, and preliminary engineering use. It does not certify designs or replace applicable codes, standards, validated software, physical testing, or qualified professional engineering judgment.
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