Earth Bondhon
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Md Jony Islam Author
Md Jony Islam
CalculatorToolsProjectExpert
Reviewers
Małgorzata Koperska, MD Steven Wooding
Last updated: October 20, 2025

Coupling Design Calculator | Torque, Shaft, and Stress Tool

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Coupling Design Calculator

Calculate coupling dimensions, transmitted torque, misalignment capacity, and stress. Step-by-step formulas included for rigid and flexible couplings.

coupling design calculator

This Coupling Design Calculator is used to compute shaft diameter, transmitted torque, shear stress, bending stress, and the misalignment capacity. Input torque, succession, material, and the type of coupling to compute dimensionalities and stress. Calculations are done step by step to ensure that the coupling design is safe and reliable.

coupling design Tool Formula:

Torque Capacity (T):

\[ T = F \times r \]

(where F = force acting on coupling, r = radius of coupling)

Shear Stress in Coupling Bolts (τ):

\[ T = \frac{T}{n \times r \times A_{b}} \]

(where T = torque, n = number of bolts, r = radius, Ab = bolt area)

Crushing Stress in Coupling (σc):

\[ \sigma_{c} = \frac{T}{d \times t \times r} \]

(where T = torque, d = hub diameter, t = flange thickness, r = radius)

The Coupling Design Calculator is an aid used by engineers, students, and technicians to develop safe and efficient power transmission couplings of shafts. Couplings are used to join rotating shafts to pass the torque, misalignment, and vibrations of mechanical systems. When stress limits are properly designed by proper coupling, failure and the downtime of the machinery will be avoided.

The user can key in the torque, shaft diameter, shaft speed, material strength, and the type of coupling (rigid or flexible). The calculator is used to determine shaft diameter, coupling size, transmitted torque, shear and bending stresses, and misalignment capability. Formulas used to transmit torque, analyse stress, or determine coupling size are explained in step-by-step format, which makes it simple to choose or design couplings to suit mechanical, automotive, and industrial systems.

Those units are supported: Nmm of torque, mm of dimensions, MPa of stress, rpm of shaft speed. This is the most suitable tool in the study of mechanical engineers, design engineers, students, and educators working with motors, pumps, gearboxes, and industrial machines to allow proper and dependable selection and design of couplings.

⚡ Work & Installation Input to Output:

Input:

  • Torque transmitted (T)
  • Shaft diameter (d)
  • Shaft speed (N, RPM)
  • Material tensile/shear strength (σ, τ)
  • Coupling type: rigid or flexible
  • Units: N·m, mm, MPa, RPM

Processing:

  • Compute shaft diameter for given torque: d = √(16 T / (π τ))
  • Compute coupling dimensions based on torque and shaft size
  • Compute shear and bending stress in coupling elements
  • For flexible couplings: compute misalignment capacity
  • Validate torque transmission, alignment, and stress limits

Output:

  • Shaft diameter
  • Coupling dimensions (length, bore, key dimensions if applicable)
  • Transmitted torque
  • Shear stress
  • Bending stress
  • Misalignment capacity (for flexible couplings)
  • Step-by-step formulas and calculations

Testing and Final Adjustments

Test common scenarios:

  • Torque T = 500 N·m, shaft d = 40 mm, rigid coupling → compute shaft diameter, coupling bore, length, shear/bending stress
  • Flexible coupling with T = 1000 N·m, misalignment 2° → compute misalignment capacity and stresses
  • Edge cases: high torque, small shaft diameter, extreme misalignment
  • Units validation: N·m for torque, mm for dimensions, MPa for stress
  • Step-by-step clarity for students and engineers
  • Mobile/desktop UX: numeric keypad, labels, error messages
  • Include standard rigid and flexible coupling dimension tables for reference
  • SEO metadata: "Coupling Design Calculator," "Shaft Coupling Calculator," "Torque Transmission," schema markup

Frequently Asked Questions - Coupling Design Calculator:

What is a coupling?

A coupling is a mechanical device that connects two shafts to transmit torque and accommodate misalignment.

How do I calculate shaft diameter for a coupling?

d = √(16 T / (π τ)), where T is torque and τ is allowable shear stress of the shaft material.

What types of couplings are supported?

Rigid and flexible couplings.

How do I calculate shear stress in a coupling?

Shear stress τ = T / (polar moment of area × radius factor), depending on shaft and coupling design.

How do I calculate bending stress?

Bending stress σ = M × c / I, where M is bending moment, c is distance from neutral axis, and I is moment of inertia.

What is misalignment capacity?

Maximum angular, parallel, or axial deviation a flexible coupling can accommodate without failure.

Which units are supported?

Torque in N·m, dimensions in mm, stress in MPa, shaft speed in RPM.

Who should use this calculator?

Mechanical engineers, design engineers, students, and educators designing shaft couplings.

Why is coupling design important?

Proper coupling design ensures safe torque transmission, reduces vibration, and prevents shaft or coupling failure.

Does it show step-by-step calculations?

Yes, all formulas and intermediate steps are displayed for clarity and verification.

Md Jony Islam

Md Jony Islam

CalculatorToolsProject

Founder of Earthbondhon.com

a free online tools website designed to make everyday and engineering-related calculations easier for students, professionals, and hobbyists. The site offers a wide range of basic calculators across key categories, including Electrical Calculators, Electronic Calculators, and Time & Date Calculators.