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Torsional Moment in Screw given Torsional Shear Stress Formula

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Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body. Check FAQs

Mt t = τ \cdot π \cdot \frac{{d c}^{3}}{16}

Mt_t - Torsional Moment on Screw?τ - Torsional shear stress in screw?d_c - Core diameter of screw?π - Archimedes' constant?

Torsional Moment in Screw given Torsional Shear Stress Example

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Here is how the Torsional Moment in Screw given Torsional Shear Stress equation looks like with Values.

Here is how the Torsional Moment in Screw given Torsional Shear Stress equation looks like with Units.

Here is how the Torsional Moment in Screw given Torsional Shear Stress equation looks like.

658694.7157 = 45.28 \cdot 3.1416 \cdot \frac{42^{3}}{16}

658694.7157N*mm = 45.28N/mm² \cdot 3.1416 \cdot \frac{{42mm}^{3}}{16}

658694.7157 = 45.28 \cdot 3.1416 \cdot \frac{42^{3}}{16}

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Torsional Moment in Screw given Torsional Shear Stress Solution

Follow our step by step solution on how to calculate Torsional Moment in Screw given Torsional Shear Stress?

FIRST Step Consider the formula

Mt t = τ \cdot π \cdot \frac{{d c}^{3}}{16}

Next Step Substitute values of Variables

∴

Mt t = 45.28N/mm² \cdot π \cdot \frac{{42mm}^{3}}{16}

Next Step Substitute values of Constants

∴

Mt t = 45.28N/mm² \cdot 3.1416 \cdot \frac{{42mm}^{3}}{16}

Next Step Convert Units

∴

Mt t = 4.5E+7Pa \cdot 3.1416 \cdot \frac{{0.042m}^{3}}{16}

Next Step Prepare to Evaluate

∴

Mt t = 4.5E+7 \cdot 3.1416 \cdot \frac{{0.042}^{3}}{16}

Next Step Evaluate

∴

Mt t = 658.694715749225N*m

Next Step Convert to Output's Unit

∴

Mt t = 658694.715749225N*mm

LAST Step Rounding Answer

∴

Mt t = 658694.7157N*mm

Torsional Moment in Screw given Torsional Shear Stress Formula Elements

Variables

Constants

Torsional Moment on Screw

Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body.

Symbol: Mt_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment on Screw

Torsional shear stress in screw

Torsional shear stress in screw is the shear stress produced in the screw due to the twisting.

Symbol: τ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional shear stress in screw

Core diameter of screw

Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Core diameter of screw

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Design of Screw and Nut category

Go Core Diameter of Power Screw

d c = d - p

Go Nominal Diameter of Power Screw

d = d c + p

Go Pitch of Power Screw

p = d - d c

Go Mean Diameter of Power Screw

d m = d - 0.5 \cdot p

How to Evaluate Torsional Moment in Screw given Torsional Shear Stress?

Torsional Moment in Screw given Torsional Shear Stress evaluator uses Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16 to evaluate the Torsional Moment on Screw, Torsional Moment in Screw given Torsional Shear Stress is defined as the moment that causes twisting of the section of the screw. Torsional Moment on Screw is denoted by Mt_t symbol.

How to evaluate Torsional Moment in Screw given Torsional Shear Stress using this online evaluator? To use this online evaluator for Torsional Moment in Screw given Torsional Shear Stress, enter Torsional shear stress in screw (τ) & Core diameter of screw (d_c) and hit the calculate button.

FAQs on Torsional Moment in Screw given Torsional Shear Stress

What is the formula to find Torsional Moment in Screw given Torsional Shear Stress?

The formula of Torsional Moment in Screw given Torsional Shear Stress is expressed as Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16. Here is an example- 6.6E+8 = 45280000*pi*(0.042^3)/16.

How to calculate Torsional Moment in Screw given Torsional Shear Stress?

With Torsional shear stress in screw (τ) & Core diameter of screw (d_c) we can find Torsional Moment in Screw given Torsional Shear Stress using the formula - Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16. This formula also uses Archimedes' constant .

Can the Torsional Moment in Screw given Torsional Shear Stress be negative?

No, the Torsional Moment in Screw given Torsional Shear Stress, measured in Torque cannot be negative.

Which unit is used to measure Torsional Moment in Screw given Torsional Shear Stress?

Torsional Moment in Screw given Torsional 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 in Screw given Torsional Shear Stress can be measured.

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Torsional Moment in Screw given Torsional Shear Stress Formula

Torsional Moment in Screw given Torsional Shear Stress Example

Torsional Moment in Screw given Torsional Shear Stress Solution

Torsional Moment in Screw given Torsional Shear Stress Formula Elements

Other formulas in Design of Screw and Nut category

How to Evaluate Torsional Moment in Screw given Torsional Shear Stress?

FAQs on Torsional Moment in Screw given Torsional Shear Stress

Variable Name