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)))
Te = τmax/(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
Te = τmax/(16/(pi*(Φ^3))) --> 42000000/(16/(pi*(0.75^3)))
Evaluating ... ...
Te = 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 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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7 Equivalent Bending Moment & Torque Calculators

Location of Principal Planes
Go Theta = (((1/2)*atan((2*Shear Stress xy)/(Stress along y Direction-Stress along x Direction))))
Diameter of Circular Shaft given Equivalent Bending Stress
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
Go Diameter of Circular Shaft = ((16*Equivalent Torque)/(pi*(Maximum Shear Stress)))^(1/3)
Bending Stress of Circular Shaft given Equivalent Bending Moment
Go Bending Stress = (32*Equivalent Bending Moment)/(pi*(Diameter of Circular Shaft^3))
Equivalent Bending Moment of Circular Shaft
Go Equivalent Bending Moment = Bending Stress/(32/(pi*(Diameter of Circular Shaft^3)))
Maximum Shear Stress due to Equivalent Torque
Go Maximum Shear Stress = (16*Equivalent Torque)/(pi*(Diameter of Circular Shaft^3))
Equivalent Torque given Maximum Shear Stress
Go Equivalent Torque = Maximum Shear Stress/(16/(pi*(Diameter of Circular Shaft^3)))

Equivalent Torque given Maximum Shear Stress Formula

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