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))
τmax = (16*Te)/(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
τmax = (16*Te)/(pi*(Φ^3)) --> (16*32000)/(pi*(0.75^3))
Evaluating ... ...
τmax = 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 00.019 seconds)

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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)))

Maximum Shear Stress due to Equivalent Torque Formula

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