Maximum Shear Stress due to Equivalent Torque Calculator

✖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 [T_e]			+10% -10%
✖Diameter of circular shaft is denoted by d.ⓘ Diameter of Circular Shaft [Φ]			+10% -10%

✖Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Shear Stress due to Equivalent Torque [τ_max]

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Maximum Shear Stress due to Equivalent Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.
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.
Diameter of Circular Shaft - (Measured in Meter) - Diameter of circular shaft is denoted by d.

STEP 1: Convert Input(s) to Base Unit

Equivalent Torque: 32 Kilonewton Meter --> 32000 Newton Meter (Check conversion here)
Diameter of Circular Shaft: 750 Millimeter --> 0.75 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_max = (16*T_e)/(pi*(Φ^3)) --> (16*32000)/(pi*(0.75^3))

Evaluating ... ...

τ_max = 386310.309276683

STEP 3: Convert Result to Output's Unit

386310.309276683 Pascal -->0.386310309276683 Megapascal (Check conversion here)

FINAL ANSWER

0.386310309276683 ≈ 0.38631 Megapascal <-- Maximum Shear Stress

(Calculation completed in 00.004 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))

Maximum Shear Stress due to Equivalent Torque Formula

LaTeX Go

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

What is Combined Bending and Torsion?

The Combined bending , Direct and Torsional stresses in shafts are arised 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 Maximum Shear Stress due to Equivalent Torque?

Maximum Shear Stress due to Equivalent Torque calculator uses Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3)) to calculate the Maximum Shear Stress, The Maximum Shear Stress due to Equivalent Torque formula is defined as the greatest extent a shear force can be concentrated in a small area. Shear force occurs throughout any structural member when an outside force is acting in the opposite unaligned direction from internal forces. Maximum Shear Stress is denoted by τ_max symbol.

How to calculate Maximum Shear Stress due to Equivalent Torque using this online calculator? To use this online calculator for Maximum Shear Stress due to Equivalent Torque, enter Equivalent Torque (T_e) & Diameter of Circular Shaft (Φ) and hit the calculate button. Here is how the Maximum Shear Stress due to Equivalent Torque calculation can be explained with given input values -> 3.9E-7 = (16*32000)/(pi*(0.75^3)).

FAQ

What is Maximum Shear Stress due to Equivalent Torque?

The Maximum Shear Stress due to Equivalent Torque formula is defined as the greatest extent a shear force can be concentrated in a small area. Shear force occurs throughout any structural member when an outside force is acting in the opposite unaligned direction from internal forces and is represented as τ_max = (16*T_e)/(pi*(Φ^3)) or Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3)). Equivalent Torque is the torque which will produce the same maximum shear stress as produced by the bending moment and torque acting separately & Diameter of circular shaft is denoted by d.

How to calculate Maximum Shear Stress due to Equivalent Torque?

The Maximum Shear Stress due to Equivalent Torque formula is defined as the greatest extent a shear force can be concentrated in a small area. Shear force occurs throughout any structural member when an outside force is acting in the opposite unaligned direction from internal forces is calculated using Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3)). To calculate Maximum Shear Stress due to Equivalent Torque, you need Equivalent Torque (T_e) & Diameter of Circular Shaft (Φ). With our tool, you need to enter the respective value for Equivalent Torque & 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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