Torsional Shear Stress of Screw Calculator

✖Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body.ⓘ Torsional Moment on Screw [Mt_t]			+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 shear stress in screw is the shear stress produced in the screw due to the twisting.ⓘ Torsional Shear Stress of Screw [τ]

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Torsional Shear Stress of Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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 Moment on Screw: 658700 Newton Millimeter --> 658.7 Newton Meter (Check conversion here)
Core diameter of screw: 42 Millimeter --> 0.042 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = 16*Mt_t/(pi*(d_c^3)) --> 16*658.7/(pi*(0.042^3))

Evaluating ... ...

τ = 45280363.2500298

STEP 3: Convert Result to Output's Unit

45280363.2500298 Pascal -->45.2803632500298 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

45.2803632500298 ≈ 45.28036 Newton per Square Millimeter <-- Torsional shear stress in screw

(Calculation completed in 00.020 seconds)

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

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< Design of Screw and Nut Calculators

Mean Diameter of Power Screw

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Nominal Diameter of Power Screw

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Core Diameter of Power Screw

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

Pitch of Power Screw

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Torsional Shear Stress of Screw Formula

LaTeX Go

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

Why Torsional Shear Stress is calculated at the Root of The Screw?

The Root or Core body of the Screw has the minimum cross-section in the structure, hence the Polar Moment of Inertia is minimum resulting in maximum Torsional Shear Stress in the structure. This value of Stress is then used as a reference because everywhere else, Torsional Stress will be smaller and the structure won't fail.

How to Calculate Torsional Shear Stress of Screw?

Torsional Shear Stress of Screw calculator uses Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3)) to calculate 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 calculate Torsional Shear Stress of Screw using this online calculator? To use this online calculator for Torsional Shear Stress of Screw, enter Torsional Moment on Screw (Mt_t) & Core diameter of screw (d_c) and hit the calculate button. Here is how the Torsional Shear Stress of Screw calculation can be explained with given input values -> 4.5E-5 = 16*658.7/(pi*(0.042^3)).

FAQ

What is Torsional Shear Stress of 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) and is represented as τ = 16*Mt_t/(pi*(d_c^3)) or Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3)). Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body & 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 Shear Stress of 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) is calculated using Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3)). To calculate Torsional Shear Stress of Screw, you need Torsional Moment on Screw (Mt_t) & Core diameter of screw (d_c). With our tool, you need to enter the respective value for Torsional Moment on 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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