Equivalent Torque given Maximum Shear Stress Calculator

✖Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Shear Stress [τ_max]			+10% -10%
✖Diameter of circular shaft is denoted by d.ⓘ Diameter of Circular Shaft [Φ]			+10% -10%

✖Equivalent Torque is the torque which will produce the same maximum shear stress as produced by the bending moment and torque acting separately.ⓘ Equivalent Torque given Maximum Shear Stress [T_e]

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Equivalent Torque given Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Torque = Maximum Shear Stress/(16/(pi*(Diameter of Circular Shaft^3)))
T_e = τ_max/(16/(pi*(Φ^3)))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Equivalent Torque - (Measured in Newton Meter) - Equivalent Torque is the torque which will produce the same maximum shear stress as produced by the bending moment and torque acting separately.
Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.
Diameter of Circular Shaft - (Measured in Meter) - Diameter of circular shaft is denoted by d.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress: 42 Megapascal --> 42000000 Pascal (Check conversion here)
Diameter of Circular Shaft: 750 Millimeter --> 0.75 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_e = τ_max/(16/(pi*(Φ^3))) --> 42000000/(16/(pi*(0.75^3)))

Evaluating ... ...

T_e = 3479068.42692463

STEP 3: Convert Result to Output's Unit

3479068.42692463 Newton Meter -->3479.06842692463 Kilonewton Meter (Check conversion here)

FINAL ANSWER

3479.06842692463 ≈ 3479.068 Kilonewton Meter <-- Equivalent Torque

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Equivalent Bending Moment and Torque Calculators

Diameter of Circular Shaft given Equivalent Bending Stress

LaTeX Go Diameter of Circular Shaft = ((32*Equivalent Bending Moment)/(pi*(Bending Stress)))^(1/3)

Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress

LaTeX Go Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3)

Bending Stress of Circular Shaft given Equivalent Bending Moment

LaTeX Go Bending Stress = (32*Equivalent Bending Moment)/(pi*(Diameter of Circular Shaft^3))

Maximum Shear Stress due to Equivalent Torque

LaTeX Go Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3))

Equivalent Torque given Maximum Shear Stress Formula

LaTeX Go

Equivalent Torque = Maximum Shear Stress/(16/(pi*(Diameter of Circular Shaft^3)))
T_e = τ_max/(16/(pi*(Φ^3)))

What is Combined Bending and Torsion?

The Combined Bending , Direct and Torsional Stresses in shafts arise when such as in propeller shafts of ships where a shaft is subjected to direct thrust in addition to bending moment and torsion. In such cases the direct stresses due to bending moment and the axial thrust have to be combined into a single resultant.

How to Calculate Equivalent Torque given Maximum Shear Stress?

Equivalent Torque given Maximum Shear Stress calculator uses Equivalent Torque = Maximum Shear Stress/(16/(pi*(Diameter of Circular Shaft^3))) to calculate the Equivalent Torque, The Equivalent Torque given Maximum Shear Stress formula is defined as moment due to torsion on shaft at member close to center point. Equivalent Torque is denoted by T_e symbol.

How to calculate Equivalent Torque given Maximum Shear Stress using this online calculator? To use this online calculator for Equivalent Torque given Maximum Shear Stress, enter Maximum Shear Stress (τ_max) & Diameter of Circular Shaft (Φ) and hit the calculate button. Here is how the Equivalent Torque given Maximum Shear Stress calculation can be explained with given input values -> 3.479068 = 42000000/(16/(pi*(0.75^3))).

FAQ

What is Equivalent Torque given Maximum Shear Stress?

The Equivalent Torque given Maximum Shear Stress formula is defined as moment due to torsion on shaft at member close to center point and is represented as T_e = τ_max/(16/(pi*(Φ^3))) or Equivalent Torque = Maximum Shear Stress/(16/(pi*(Diameter of Circular Shaft^3))). Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area & Diameter of circular shaft is denoted by d.

How to calculate Equivalent Torque given Maximum Shear Stress?

The Equivalent Torque given Maximum Shear Stress formula is defined as moment due to torsion on shaft at member close to center point is calculated using Equivalent Torque = Maximum Shear Stress/(16/(pi*(Diameter of Circular Shaft^3))). To calculate Equivalent Torque given Maximum Shear Stress, you need Maximum Shear Stress (τ_max) & Diameter of Circular Shaft (Φ). With our tool, you need to enter the respective value for Maximum Shear Stress & Diameter of Circular 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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