shaftDesigner Pro - PT TENSOR

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shaftDesigner Pro

Shaft Design Calculator: Forces, Torque, Stresses, Deformation, Critical Speed.

SFD, BMD, TD, and Shaft Profile Calculator

Shaft Segments

Bearing Locations

Bearing A Location (mm):

Bearing B Location (mm):

Forces

Torques

Material Properties

Modulus of Elasticity (E, GPa):

Material Density (kg/m³):

Critical Speed

N/A

Shaft Layout

Forces Diagram

Bending Moment Diagram

Torque Diagram

Angle (degrees): 0°

Stress Tensor Components

Von Mises Stresses

Maximum Von Mises Stress

Midrange and Alternating Stress

Shaft Deflection

Angle of Twist

Shaft coordinate system

Phase angle

How the Calculator Works

This calculator allows users to compute various mechanical properties and visualize results related to shaft mechanics, such as Shear Force Diagrams (SFD), Bending Moment Diagrams (BMD), Torque Diagrams (TD), shaft deflection, angle of twist, and stress criteria. It also calculates the critical speed of the shaft in both radians per second and RPM.

If the page refreshed or closed, the data will refreshed to the default values. You can save and open your data to open your design documentation.

Equations Used:

Static Equilibrium:

This calculator assumes the static equilibrium condition to calculate the radial reactions of bearings:

$\Sigma F_y = 0, \quad \Sigma F_z = 0$

$\Sigma M_A = 0$

But, bearing assumed to have zero axial reaction, you must add the axial reaction from the force inputs if any.

Deflection and Angle of twist:

This shaft designer assumes a solid cylinder shaft, so it doesnt work for hollow shaft.

Deflection equation:

$EI \frac{d^2 y}{dx^2} = M$

Angle of twist:

$\theta = \int \frac{T}{GJ} \, dx$

Stress Analysis:

For stress calculation, this calculator use superposition analysis of bending moments, from Y and Z moment, transverse shears, pure tension, and pure torsion for each section. Stress concentrations are ignored in the calculation. You can use stress concentration module to calculate it.

Von mises Stress:

$\sigma_v = \sqrt{\frac{1}{2} \left[ (\sigma_x - \sigma_y)^2 + (\sigma_y - \sigma_z)^2 + (\sigma_z - \sigma_x)^2 + 6(\tau_{xy}^2 + \tau_{yz}^2 + \tau_{zx}^2) \right]}$

Tresca stress:

Calculated from the maximum shear stress

Critical Speed:

Uses deflection magnitudes and distributed weights to compute critical speed:

$\omega_c = \sqrt{\frac{g \cdot \Sigma (w_i \cdot y_i)}{\Sigma (w_i \cdot y_i^2)}}$

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Author: Caesar Wiratama