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Torsional moment on shaft given shear stress Formula

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Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. Check FAQs

τ = 𝜏 \cdot \frac{J}{r}

τ - Torsional moment on shaft?𝜏 - Torsional shear stress in twisted shaft?J - Polar moment of inertia for circular section?r - Radial Distance from Axis of Rotation?

Torsional moment on shaft given shear stress Example

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Here is how the Torsional moment on shaft given shear stress equation looks like with Values.

Here is how the Torsional moment on shaft given shear stress equation looks like with Units.

Here is how the Torsional moment on shaft given shear stress equation looks like.

53200 = 35 \cdot \frac{38000}{25}

53200N*mm = 35N/mm² \cdot \frac{38000mm⁴}{25mm}

53200 = 35 \cdot \frac{38000}{25}

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Torsional moment on shaft given shear stress Solution

Follow our step by step solution on how to calculate Torsional moment on shaft given shear stress?

FIRST Step Consider the formula

τ = 𝜏 \cdot \frac{J}{r}

Next Step Substitute values of Variables

∴

τ = 35N/mm² \cdot \frac{38000mm⁴}{25mm}

Next Step Convert Units

∴

τ = 3.5E+7Pa \cdot \frac{3.8E-8m⁴}{0.025m}

Next Step Prepare to Evaluate

∴

τ = 3.5E+7 \cdot \frac{3.8E-8}{0.025}

Next Step Evaluate

∴

τ = 53.2N*m

LAST Step Convert to Output's Unit

∴

τ = 53200N*mm

Torsional moment on shaft given shear stress Formula Elements

Variables

Torsional moment on shaft

Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.

Symbol: τ

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional moment on shaft

Torsional shear stress in twisted shaft

Torsional shear stress in twisted shaft or Torsional stress is the shear stress produced in the shaft due to the twisting.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional shear stress in twisted shaft

Polar moment of inertia for circular section

Polar moment of inertia for circular section is the measure of the specimen's resistance to torsion.

Symbol: J

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Polar moment of inertia for circular section

Radial Distance from Axis of Rotation

Radial Distance from Axis of Rotation is taken as the distance between the projections onto the two planes.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radial Distance from Axis of Rotation

Other formulas in Design of Shaft for Torsional Moment category

Go Torsional shear stress in shaft due to torsional moment

𝜏 = τ \cdot \frac{r}{J}

Go Angle of twist of shaft in radians given torque, length of shaft, polar moment of inertia

θ = \frac{τ \cdot l}{J \cdot C}

Go Polar moment of inertia of hollow circular cross-section

J = π \cdot \frac{({d ho}^{4}) - ({d hi}^{4})}{32}

Go Polar moment of inertia of circular cross section

J = π \cdot \frac{{d c}^{4}}{32}

How to Evaluate Torsional moment on shaft given shear stress?

Torsional moment on shaft given shear stress evaluator uses Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation to evaluate the Torsional moment on shaft, Torsional moment on shaft given shear stress formula is defined as a moment that twists a structure. Unlike axial loads that produce a uniform, or average, stress over the object's cross section, a torque creates a distribution of stress over the cross-section. Torsional moment on shaft is denoted by τ symbol.

How to evaluate Torsional moment on shaft given shear stress using this online evaluator? To use this online evaluator for Torsional moment on shaft given shear stress, enter Torsional shear stress in twisted shaft (𝜏), Polar moment of inertia for circular section (J) & Radial Distance from Axis of Rotation (r) and hit the calculate button.

FAQs on Torsional moment on shaft given shear stress

What is the formula to find Torsional moment on shaft given shear stress?

The formula of Torsional moment on shaft given shear stress is expressed as Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation. Here is an example- 5.3E+7 = 35000000*3.8E-08/0.025.

How to calculate Torsional moment on shaft given shear stress?

With Torsional shear stress in twisted shaft (𝜏), Polar moment of inertia for circular section (J) & Radial Distance from Axis of Rotation (r) we can find Torsional moment on shaft given shear stress using the formula - Torsional moment on shaft = Torsional shear stress in twisted shaft*Polar moment of inertia for circular section/Radial Distance from Axis of Rotation.

Can the Torsional moment on shaft given shear stress be negative?

No, the Torsional moment on shaft given shear stress, measured in Torque cannot be negative.

Which unit is used to measure Torsional moment on shaft given shear stress?

Torsional moment on shaft given shear stress is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torsional moment on shaft given shear stress can be measured.

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Torsional moment on shaft given shear stress Formula

Torsional moment on shaft given shear stress Example

Torsional moment on shaft given shear stress Solution

Torsional moment on shaft given shear stress Formula Elements

Other formulas in Design of Shaft for Torsional Moment category

How to Evaluate Torsional moment on shaft given shear stress?

FAQs on Torsional moment on shaft given shear stress

Variable Name