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Twisting Moment given Maximum Permissible Shear Stress Formula

GoTwisting Moment given Polar MOI and Twist Angle Formula

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Torque is a measure of the force that can cause an object to rotate about an axis. Check FAQs

T = \frac{J \cdot τ max}{R}

T - Torque?J - Polar Moment of Inertia?τ_max - Maximum Shear Stress?R - Radius of Shaft?

Twisting Moment given Maximum Permissible Shear Stress Example

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Here is how the Twisting Moment given Maximum Permissible Shear Stress equation looks like with Values.

Here is how the Twisting Moment given Maximum Permissible Shear Stress equation looks like with Units.

Here is how the Twisting Moment given Maximum Permissible Shear Stress equation looks like.

1565.4545 = \frac{0.0041 \cdot 42}{110}

1565.4545kN*m = \frac{0.0041m⁴ \cdot 42MPa}{110mm}

1565.4545 = \frac{0.0041 \cdot 42}{110}

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Twisting Moment given Maximum Permissible Shear Stress Solution

Follow our step by step solution on how to calculate Twisting Moment given Maximum Permissible Shear Stress?

FIRST Step Consider the formula

T = \frac{J \cdot τ max}{R}

Next Step Substitute values of Variables

∴

T = \frac{0.0041m⁴ \cdot 42MPa}{110mm}

Next Step Convert Units

∴

T = \frac{0.0041m⁴ \cdot 4.2E+7Pa}{0.11m}

Next Step Prepare to Evaluate

∴

T = \frac{0.0041 \cdot 4.2E+7}{0.11}

Next Step Evaluate

∴

T = 1565454.54545455N*m

Next Step Convert to Output's Unit

∴

T = 1565.45454545455kN*m

LAST Step Rounding Answer

∴

T = 1565.4545kN*m

Twisting Moment given Maximum Permissible Shear Stress Formula Elements

Variables

Torque

Torque is a measure of the force that can cause an object to rotate about an axis.

Symbol: T

Measurement: TorqueUnit: kN*m

Note: Value can be positive or negative.

Formulas to find Torque

Polar Moment of Inertia

Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.

Symbol: J

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Polar Moment of Inertia

Maximum Shear Stress

Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.

Symbol: τ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Shear Stress

Radius of Shaft

The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Shaft

Other Formulas to find Torque

Go Twisting Moment given Polar MOI and Twist Angle

T = \frac{G Torsion \cdot θ \cdot J}{L shaft}

Other formulas in Torsion category

Go Maximum permissible shear stress

τ max = T \cdot \frac{R}{J}

Go Radius with known Maximum permissible shear stress

R = τ max \cdot \frac{J}{T}

Go Maximum permissible shear stress for given Radius and modulus of rigidity

τ max = \frac{G Torsion \cdot (θ) \cdot R}{L shaft}

Go Modulus of rigidity given maximum permissible shear stress

G Torsion = \frac{τ max \cdot L shaft}{θ \cdot R}

How to Evaluate Twisting Moment given Maximum Permissible Shear Stress?

Twisting Moment given Maximum Permissible Shear Stress evaluator uses Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft to evaluate the Torque, The Twisting Moment given Maximum Permissible Shear Stress is defined as the moment given to the shaft to twist it. Torque is denoted by T symbol.

How to evaluate Twisting Moment given Maximum Permissible Shear Stress using this online evaluator? To use this online evaluator for Twisting Moment given Maximum Permissible Shear Stress, enter Polar Moment of Inertia (J), Maximum Shear Stress (τ_max) & Radius of Shaft (R) and hit the calculate button.

FAQs on Twisting Moment given Maximum Permissible Shear Stress

What is the formula to find Twisting Moment given Maximum Permissible Shear Stress?

The formula of Twisting Moment given Maximum Permissible Shear Stress is expressed as Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft. Here is an example- 1.565455 = (0.0041*42000000)/0.11.

How to calculate Twisting Moment given Maximum Permissible Shear Stress?

With Polar Moment of Inertia (J), Maximum Shear Stress (τ_max) & Radius of Shaft (R) we can find Twisting Moment given Maximum Permissible Shear Stress using the formula - Torque = (Polar Moment of Inertia*Maximum Shear Stress)/Radius of Shaft.

What are the other ways to Calculate Torque?

Here are the different ways to Calculate Torque-

Torque=(Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia)/Length of Shaft

Can the Twisting Moment given Maximum Permissible Shear Stress be negative?

Yes, the Twisting Moment given Maximum Permissible Shear Stress, measured in Torque can be negative.

Which unit is used to measure Twisting Moment given Maximum Permissible Shear Stress?

Twisting Moment given Maximum Permissible Shear Stress is usually measured using the Kilonewton Meter[kN*m] for Torque. Newton Meter[kN*m], Newton Centimeter[kN*m], Newton Millimeter[kN*m] are the few other units in which Twisting Moment given Maximum Permissible Shear Stress can be measured.

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Twisting Moment given Maximum Permissible Shear Stress Formula

​GoTwisting Moment given Polar MOI and Twist Angle Formula

Twisting Moment given Maximum Permissible Shear Stress Example

Twisting Moment given Maximum Permissible Shear Stress Solution

Twisting Moment given Maximum Permissible Shear Stress Formula Elements

Other Formulas to find Torque

Other formulas in Torsion category

How to Evaluate Twisting Moment given Maximum Permissible Shear Stress?

FAQs on Twisting Moment given Maximum Permissible Shear Stress

Variable Name

GoTwisting Moment given Polar MOI and Twist Angle Formula