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Torsional Shear Stress of Screw Formula

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

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

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

Torsional Shear Stress of Screw Example

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Here is how the Torsional Shear Stress of Screw equation looks like with Values.

Here is how the Torsional Shear Stress of Screw equation looks like with Units.

Here is how the Torsional Shear Stress of Screw equation looks like.

45.2804 = 16 \cdot \frac{658700}{3.1416 \cdot (42^{3})}

45.2804N/mm² = 16 \cdot \frac{658700N*mm}{3.1416 \cdot ({42mm}^{3})}

45.2804 = 16 \cdot \frac{658700}{3.1416 \cdot (42^{3})}

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Torsional Shear Stress of Screw Solution

Follow our step by step solution on how to calculate Torsional Shear Stress of Screw?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = 16 \cdot \frac{658700N*mm}{π \cdot ({42mm}^{3})}

Next Step Substitute values of Constants

∴

τ = 16 \cdot \frac{658700N*mm}{3.1416 \cdot ({42mm}^{3})}

Next Step Convert Units

∴

τ = 16 \cdot \frac{658.7N*m}{3.1416 \cdot ({0.042m}^{3})}

Next Step Prepare to Evaluate

∴

τ = 16 \cdot \frac{658.7}{3.1416 \cdot ({0.042}^{3})}

Next Step Evaluate

∴

τ = 45280363.2500298Pa

Next Step Convert to Output's Unit

∴

τ = 45.2803632500298N/mm²

LAST Step Rounding Answer

∴

τ = 45.2804N/mm²

Torsional Shear Stress of Screw Formula Elements

Variables

Constants

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

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

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 Shear Stress of Screw?

Torsional Shear Stress of Screw evaluator uses Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3)) to evaluate the Torsional shear stress in screw, The Torsional Shear Stress of Screw is defined as the stress that arises in the Screw body due to torsion or twisting during tightening. Torsional Shear Stress is often calculated at the minimum cross-section of the screw (Root of the screw). Torsional shear stress in screw is denoted by τ symbol.

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

FAQs on Torsional Shear Stress of Screw

What is the formula to find Torsional Shear Stress of Screw?

The formula of Torsional Shear Stress of Screw is expressed as Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3)). Here is an example- 4.5E-5 = 16*658.7/(pi*(0.042^3)).

How to calculate Torsional Shear Stress of Screw?

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

Can the Torsional Shear Stress of Screw be negative?

No, the Torsional Shear Stress of Screw, measured in Stress cannot be negative.

Which unit is used to measure Torsional Shear Stress of Screw?

Torsional Shear Stress of Screw is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Torsional Shear Stress of Screw can be measured.

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Torsional Shear Stress of Screw Formula

Torsional Shear Stress of Screw Example

Torsional Shear Stress of Screw Solution

Torsional Shear Stress of Screw Formula Elements

Other formulas in Design of Screw and Nut category

How to Evaluate Torsional Shear Stress of Screw?

FAQs on Torsional Shear Stress of Screw

Variable Name