Diameter of shaft given torque transmitted by shaft Calculator

✖The Torque Transmitted by Shaft is the rotational force transferred through a shaft in a flanged coupling, essential for efficient power transmission in mechanical systems.ⓘ Torque Transmitted by Shaft [T_shaft]			+10% -10%
✖The Shear Stress in Shaft is the internal force per unit area acting parallel to the shaft's cross-section, crucial for assessing the strength and stability of flanged couplings.ⓘ Shear Stress in Shaft [𝜏]			+10% -10%

✖The Diameter of Shaft is the measurement across the widest part of the shaft, crucial for ensuring proper fit and function in flanged coupling applications.ⓘ Diameter of shaft given torque transmitted by shaft [d_s]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Flanged Coupling Formulas PDF PDF Image

Diameter of shaft given torque transmitted by shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft = ((16*Torque Transmitted by Shaft)/(pi*Shear Stress in Shaft))^(1/3)
d_s = ((16*T_shaft)/(pi*𝜏))^(1/3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the measurement across the widest part of the shaft, crucial for ensuring proper fit and function in flanged coupling applications.
Torque Transmitted by Shaft - (Measured in Newton Meter) - The Torque Transmitted by Shaft is the rotational force transferred through a shaft in a flanged coupling, essential for efficient power transmission in mechanical systems.
Shear Stress in Shaft - (Measured in Pascal) - The Shear Stress in Shaft is the internal force per unit area acting parallel to the shaft's cross-section, crucial for assessing the strength and stability of flanged couplings.

STEP 1: Convert Input(s) to Base Unit

Torque Transmitted by Shaft: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Shear Stress in Shaft: 2 Megapascal --> 2000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = ((16*T_shaft)/(pi*𝜏))^(1/3) --> ((16*50)/(pi*2000000))^(1/3)

Evaluating ... ...

d_s = 0.0503079599160436

STEP 3: Convert Result to Output's Unit

0.0503079599160436 Meter -->50.3079599160436 Millimeter (Check conversion here)

FINAL ANSWER

50.3079599160436 ≈ 50.30796 Millimeter <-- Diameter of Shaft

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Flanged Coupling » Diameter of shaft given torque transmitted by shaft

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Flanged Coupling Calculators

Diameter of bolt given maximum load that can be resisted by one bolt

LaTeX Go Diameter of Bolt = sqrt((4*Load Resisted by One Bolt)/(pi*Shear Stress in Bolt))

Shear Stress in Bolt using Maximum Load that can be Resisted by One Bolt

LaTeX Go Shear Stress in Bolt = (4*Load Resisted by One Bolt)/(pi*(Diameter of Bolt^2))

Maximum amount of load that can be resisted by one bolt

LaTeX Go Load Resisted by One Bolt = (Shear Stress in Bolt*pi*Diameter of Bolt^2)/4

Torque Resisted by One Bolt using Load Resisted by One Bolt

LaTeX Go Torque Resisted by Bolt = Load Resisted by One Bolt*Diameter of Bolt Pitch Circle/2

Diameter of shaft given torque transmitted by shaft Formula

LaTeX Go

Diameter of Shaft = ((16*Torque Transmitted by Shaft)/(pi*Shear Stress in Shaft))^(1/3)
d_s = ((16*T_shaft)/(pi*𝜏))^(1/3)

What is torque and its application?

Torque is the application of force where there is rotational motion. The most obvious example of torque in action is the operation of a crescent wrench loosening a lug nut, and a close second is a playground seesaw.

How to Calculate Diameter of shaft given torque transmitted by shaft?

Diameter of shaft given torque transmitted by shaft calculator uses Diameter of Shaft = ((16*Torque Transmitted by Shaft)/(pi*Shear Stress in Shaft))^(1/3) to calculate the Diameter of Shaft, Diameter of shaft given torque transmitted by shaft formula is defined as the diameter of a shaft in a flanged coupling system, which is a critical parameter in mechanical engineering that affects the shaft's ability to transmit torque efficiently and withstand stress. Diameter of Shaft is denoted by d_s symbol.

How to calculate Diameter of shaft given torque transmitted by shaft using this online calculator? To use this online calculator for Diameter of shaft given torque transmitted by shaft, enter Torque Transmitted by Shaft (T_shaft) & Shear Stress in Shaft (𝜏) and hit the calculate button. Here is how the Diameter of shaft given torque transmitted by shaft calculation can be explained with given input values -> 50307.96 = ((16*50)/(pi*2000000))^(1/3).

FAQ

What is Diameter of shaft given torque transmitted by shaft?

Diameter of shaft given torque transmitted by shaft formula is defined as the diameter of a shaft in a flanged coupling system, which is a critical parameter in mechanical engineering that affects the shaft's ability to transmit torque efficiently and withstand stress and is represented as d_s = ((16*T_shaft)/(pi*𝜏))^(1/3) or Diameter of Shaft = ((16*Torque Transmitted by Shaft)/(pi*Shear Stress in Shaft))^(1/3). The Torque Transmitted by Shaft is the rotational force transferred through a shaft in a flanged coupling, essential for efficient power transmission in mechanical systems & The Shear Stress in Shaft is the internal force per unit area acting parallel to the shaft's cross-section, crucial for assessing the strength and stability of flanged couplings.

How to calculate Diameter of shaft given torque transmitted by shaft?

Diameter of shaft given torque transmitted by shaft formula is defined as the diameter of a shaft in a flanged coupling system, which is a critical parameter in mechanical engineering that affects the shaft's ability to transmit torque efficiently and withstand stress is calculated using Diameter of Shaft = ((16*Torque Transmitted by Shaft)/(pi*Shear Stress in Shaft))^(1/3). To calculate Diameter of shaft given torque transmitted by shaft, you need Torque Transmitted by Shaft (T_shaft) & Shear Stress in Shaft (𝜏). With our tool, you need to enter the respective value for Torque Transmitted by Shaft & Shear Stress in Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search