Torsional Moment in Screw given Torsional Shear Stress Calculator

✖Torsional shear stress in screw is the shear stress produced in the screw due to the twisting.ⓘ Torsional shear stress in screw [τ]			+10% -10%
✖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.ⓘ Core diameter of screw [d_c]			+10% -10%

✖Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body.ⓘ Torsional Moment in Screw given Torsional Shear Stress [Mt_t]

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Formula

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Torsional Moment in Screw given Torsional Shear Stress

Formula

`"Mt"_{"t"} = "τ"*pi*("d"_{"c"}^3)/16`

Example

`"658694.7N*mm"="45.28N/mm²"*pi*(("42mm")^3)/16`

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Torsional Moment in Screw given Torsional Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16
Mt_t = τ*pi*(d_c^3)/16
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torsional Moment on Screw - (Measured in Newton Meter) - Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body.
Torsional shear stress in screw - (Measured in Pascal) - Torsional shear stress in screw is the shear stress produced in the screw due to the twisting.
Core diameter of screw - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Torsional shear stress in screw: 45.28 Newton per Square Millimeter --> 45280000 Pascal (Check conversion here)
Core diameter of screw: 42 Millimeter --> 0.042 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mt_t = τ*pi*(d_c^3)/16 --> 45280000*pi*(0.042^3)/16

Evaluating ... ...

Mt_t = 658.694715749225

STEP 3: Convert Result to Output's Unit

658.694715749225 Newton Meter -->658694.715749225 Newton Millimeter (Check conversion here)

FINAL ANSWER

658694.715749225 ≈ 658694.7 Newton Millimeter <-- Torsional Moment on Screw

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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Osmania University (OU), Hyderabad

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< 25 Design of Screw and Nut Calculators

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut

Go Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads)

Transverse Shear Stress at Root of Nut

Go Transverse shear stress in nut = Axial load on screw/(pi*Nominal diameter of screw*Thread Thickness*Number of Engaged Threads)

Thread Thickness at Core Diameter of Screw given Transverse Shear Stress

Go Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads)

Number of Threads in Engagement with Nut given Transverse Shear Stress

Go Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw)

Core Diameter of Screw given Transverse Shear Stress in Screw

Go Core diameter of screw = Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads)

Axial Load on Screw given Transverse Shear Stress

Go Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)

Transverse Shear Stress in Screw

Go Transverse Shear Stress in Screw = Axial load on screw/(pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)

Axial Load on Screw given Transverse Shear Stress at Root of Nut

Go Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads

Overall Efficiency of Power Screw

Go Efficiency of power screw = Axial load on screw*Lead of Power Screw/(2*pi*Torsional Moment on Screw)

Lead of Screw given Overall Efficiency

Go Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw

Core Diameter of Screw given Direct Compressive Stress

Go Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))

Helix Angle of Thread

Go Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw))

Mean diameter of Screw given Helix Angle

Go Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw))

Lead of Screw given Helix angle

Go Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw

Core Diameter of Screw given Torsional Shear Stress

Go Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3)

Torsional Shear Stress of Screw

Go Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3))

Torsional Moment in Screw given Torsional Shear Stress

Go Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16

Direct Compressive Stress in Screw

Go Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2)

Axial Load on Screw given Direct Compressive Stress

Go Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4

Nominal Diameter of Power Screw given Mean Diameter

Go Nominal diameter of screw = Mean Diameter of Power Screw+(0.5*Pitch of power screw thread)

Pitch of Screw given Mean Diameter

Go Pitch of power screw thread = (Nominal diameter of screw-Mean Diameter of Power Screw)/0.5

Mean Diameter of Power Screw

Go Mean Diameter of Power Screw = Nominal diameter of screw-0.5*Pitch of power screw thread

Nominal Diameter of Power Screw

Go Nominal diameter of screw = Core diameter of screw+Pitch of power screw thread

Core Diameter of Power Screw

Go Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread

Pitch of Power Screw

Go Pitch of power screw thread = Nominal diameter of screw-Core diameter of screw

Torsional Moment in Screw given Torsional Shear Stress Formula

Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16
Mt_t = τ*pi*(d_c^3)/16

What is Torsional Moment in a screw?

Torsion is the twisting of the bolt when applying the tightening torque (or Torsional Moment). Torsion generates shearing stress that is perpendicular to the radius in the circular cross-section of the bolt.

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

Torsional Moment in Screw given Torsional Shear Stress calculator uses Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16 to calculate 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 calculate Torsional Moment in Screw given Torsional Shear Stress using this online calculator? To use this online calculator 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. Here is how the Torsional Moment in Screw given Torsional Shear Stress calculation can be explained with given input values -> 6.6E+8 = 45280000*pi*(0.042^3)/16.

FAQ

What is Torsional Moment in Screw given Torsional Shear Stress?

Torsional Moment in Screw given Torsional Shear Stress is defined as the moment that causes twisting of the section of the screw and is represented as Mt_t = τ*pi*(d_c^3)/16 or Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16. Torsional shear stress in screw is the shear stress produced in the screw due to the twisting & 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.

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

Torsional Moment in Screw given Torsional Shear Stress is defined as the moment that causes twisting of the section of the screw is calculated using Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16. To calculate Torsional Moment in Screw given Torsional Shear Stress, you need Torsional shear stress in screw (τ) & Core diameter of screw (d_c). With our tool, you need to enter the respective value for Torsional shear stress in screw & Core diameter of screw 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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