Shear stress in 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 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 [d_s]			+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 given torque transmitted by shaft [𝜏]

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Shear stress in shaft given torque transmitted by shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Torque Transmitted by Shaft: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Diameter of Shaft: 50.3 Millimeter --> 0.0503 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (16*T_shaft)/(pi*(d_s^3)) --> (16*50)/(pi*(0.0503^3))

Evaluating ... ...

𝜏 = 2000949.6432315

STEP 3: Convert Result to Output's Unit

2000949.6432315 Pascal -->2.0009496432315 Megapascal (Check conversion here)

FINAL ANSWER

2.0009496432315 ≈ 2.00095 Megapascal <-- Shear Stress in Shaft

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Flanged Coupling Calculators

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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

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Shear stress in shaft given torque transmitted by shaft Formula

LaTeX Go

Shear Stress in Shaft = (16*Torque Transmitted by Shaft)/(pi*(Diameter of Shaft^3))
𝜏 = (16*T_shaft)/(pi*(d_s^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 Shear stress in shaft given torque transmitted by shaft?

Shear stress in shaft given torque transmitted by shaft calculator uses Shear Stress in Shaft = (16*Torque Transmitted by Shaft)/(pi*(Diameter of Shaft^3)) to calculate the Shear Stress in Shaft, Shear stress in shaft given torque transmitted by shaft formula is defined as a measure of the internal resistance of a shaft to twisting or rotational forces, typically occurring in mechanical systems such as flanged couplings, where the shaft is subjected to torque transmission. Shear Stress in Shaft is denoted by 𝜏 symbol.

How to calculate Shear stress in shaft given torque transmitted by shaft using this online calculator? To use this online calculator for Shear stress in shaft given torque transmitted by shaft, enter Torque Transmitted by Shaft (T_shaft) & Diameter of Shaft (d_s) and hit the calculate button. Here is how the Shear stress in shaft given torque transmitted by shaft calculation can be explained with given input values -> 1.5E-10 = (16*50)/(pi*(0.0503^3)).

FAQ

What is Shear stress in shaft given torque transmitted by shaft?

Shear stress in shaft given torque transmitted by shaft formula is defined as a measure of the internal resistance of a shaft to twisting or rotational forces, typically occurring in mechanical systems such as flanged couplings, where the shaft is subjected to torque transmission and is represented as 𝜏 = (16*T_shaft)/(pi*(d_s^3)) or Shear Stress in Shaft = (16*Torque Transmitted by Shaft)/(pi*(Diameter of Shaft^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 Diameter of Shaft is the measurement across the widest part of the shaft, crucial for ensuring proper fit and function in flanged coupling applications.

How to calculate Shear stress in shaft given torque transmitted by shaft?

Shear stress in shaft given torque transmitted by shaft formula is defined as a measure of the internal resistance of a shaft to twisting or rotational forces, typically occurring in mechanical systems such as flanged couplings, where the shaft is subjected to torque transmission is calculated using Shear Stress in Shaft = (16*Torque Transmitted by Shaft)/(pi*(Diameter of Shaft^3)). To calculate Shear stress in shaft given torque transmitted by shaft, you need Torque Transmitted by Shaft (T_shaft) & Diameter of Shaft (d_s). With our tool, you need to enter the respective value for Torque Transmitted by Shaft & Diameter of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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