Core Diameter When Torsional Shear Stress is Given Calculator

Category	Physics ↺
Physics	Machine Design ↺
Machine-Design	Design of Machine Elements ↺
Design-Of-Machine-Elements	Power Screws ↺
Power-Screws	Design of Screw and Nut ↺

✖Torsional Moment is the torque applied to generate a torsion (twist) within the object.ⓘ Torsional Moment [(M _t ) _t]			+10% -10%
✖The Torsional shear stress or Torsional stress is the shear stress produced in the shaft due to the twisting.ⓘ Torsional Shear Stress [𝜏 ]			+10% -10%

✖Core Diameter 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 When Torsional Shear Stress is Given [d_c]

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Core Diameter When Torsional Shear Stress is Given

Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 50+ more calculators!

Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 500+ more calculators!

< 5 Other formulas that you can solve using the same Inputs

Overall Efficiency of a Power Screw

Overall Efficiency of Power Screw=Axial Load*Lead of Screw/(2*pi*Torsional Moment) GO

Lead of the Screw When Overall Efficiency is Given

Lead of Screw=2*pi*Overall Efficiency of Power Screw*Torsional Moment/Axial Load GO

load When Overall Efficiency is Given

Axial Load=2*pi*Torsional Moment*Overall Efficiency of Power Screw/Lead of Screw GO

Torsional Shear Stress of a Screw

Torsional Shear Stress=16*Torsional Moment/(pi*(Core Diameter^3)) GO

Torsional Moment When Torsional Shear Stress is Given

Torsional Moment=Torsional Shear Stress*pi*(Core Diameter^3)/16 GO

< 9 Other formulas that calculate the same Output

Core Diameter of Screw When Unit Bearing Pressure is Given

Core Diameter=sqrt((Nominal Diameter)^2-(4*Force/(bearing pressure*pi*number of thread in contact with nut))) GO

Core Diameter When the Strength of the Bolt in Shear is Given

Core Diameter=Shear Yield Strength=Shear strength*Factor of safety/(pi*Shear Yield Strength*Height of Nut ) GO

Core Diameter of Screw When Transverse Shear Stress in a Screw is Given

Core Diameter=Force/(Transverse shear stress*pi*thread thickness*number of thread in contact with nut) GO

Core Diameter When Diameter of the Hole is Given

Core Diameter=sqrt((Equivalent/Nominal Diameter of Particle^2)-(Diameter of the Hole of Bolt^2)) GO

Core Diameter When Strength of Bolt in Tension is Given

Core Diameter=sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety)) GO

Core Diameter of Bolt When Maximum Tensile Stress in the Bolt is Given

Core Diameter=sqrt(Tensile load/((pi/4)*Maximum tensile stress)) GO

Core Diameter When Direct Compressive Stress is Given

Core Diameter=sqrt((4*Axial Load)/(pi*Compressive Stress)) GO

Core Diameter When Shear Area is Given

Core Diameter=Shear Area/pi*Height of Nut GO

Core Diameter of Power Screw

Core Diameter=Nominal Diameter-Pitch GO

Core Diameter When Torsional Shear Stress is Given Formula

Core Diameter=(16*Torsional Moment/(pi*Torsional Shear Stress))^(1/3)
d<sub>c=(16*(M <sub>t</sub> ) <sub> t/(pi*𝜏 ))^(1/3)

More formulas

Direct Compressive Stress of Screw GO

Axial Force When Direct Compressive Stress is Given GO

Torsional Shear Stress of a Screw GO

Torsional Moment When Torsional Shear Stress is Given GO

Core Diameter When Direct Compressive Stress is Given GO

Transverse Shear Stress in a Screw GO

Axial Force When Transverse Shear Stress is Given GO

Core Diameter of Screw When Transverse Shear Stress in a Screw is Given GO

Thread Thickness at Core Diameter When Transverse Shear Stress is Given GO

Number of Threads in Engagement With Nut When Transverse Shear Stress is Given GO

Transverse Shear Stress at Root of the Nut GO

Axial Load When Transverse Shear Stress at Root of Nut is Given GO

Nominal Diameter of Screw When Transverse Shear Stress at the root of Nut is Given GO

Thread Thickness at Root of Nut When Transverse Shear Stress at Root of Nut is Given GO

Number of Threads in Engagement With Nut When Transverse Shear Stress at Root of Nut is Given GO

Bearing Area Between Screw and Nut for one Thread GO

Unit Bearing Pressure for a Thread GO

Axial Load When Unit Bearing Pressure is Given GO

Core Diameter of Screw When Unit Bearing Pressure is Given GO

Nominal Diameter of Screw When Unit Bearing Pressure is Given GO

Number of Threads in Engagement With Nut When Unit Bearing Pressure is Given GO

Variation in Core Diameter

Core diameter directly influences the strength of the structure. A larger core diameter implies the structure can withstand more Torsion in comparison to a smaller Core Diametral structure. Hence it is preferred that the actual structure has a Core Diameter slightly larger than the calculated one.

How to Calculate Core Diameter When Torsional Shear Stress is Given?

Core Diameter When Torsional Shear Stress is Given calculator uses Core Diameter=(16*Torsional Moment/(pi*Torsional Shear Stress))^(1/3) to calculate the Core Diameter, The Core Diameter When Torsional Shear Stress is Given, is a way of calculating the Core (or Root) Diameter of a screw of selected material, that can function against the working load without failure. Core Diameter and is denoted by d_c symbol.

How to calculate Core Diameter When Torsional Shear Stress is Given using this online calculator? To use this online calculator for Core Diameter When Torsional Shear Stress is Given, enter Torsional Moment ((M _t ) _t) and Torsional Shear Stress (𝜏 ) and hit the calculate button. Here is how the Core Diameter When Torsional Shear Stress is Given calculation can be explained with given input values -> 2167.704 = (16*100/(pi*50))^(1/3).

FAQ

What is Core Diameter When Torsional Shear Stress is Given?

The Core Diameter When Torsional Shear Stress is Given, is a way of calculating the Core (or Root) Diameter of a screw of selected material, that can function against the working load without failure and is represented as d_{c=(16*(M _t ) _{t/(pi*𝜏 ))^(1/3)}} or Core Diameter=(16*Torsional Moment/(pi*Torsional Shear Stress))^(1/3). Torsional Moment is the torque applied to generate a torsion (twist) within the object and The Torsional shear stress or Torsional stress is the shear stress produced in the shaft due to the twisting.

How to calculate Core Diameter When Torsional Shear Stress is Given?

The Core Diameter When Torsional Shear Stress is Given, is a way of calculating the Core (or Root) Diameter of a screw of selected material, that can function against the working load without failure is calculated using Core Diameter=(16*Torsional Moment/(pi*Torsional Shear Stress))^(1/3). To calculate Core Diameter When Torsional Shear Stress is Given, you need Torsional Moment ((M _t ) _t) and Torsional Shear Stress (𝜏 ). With our tool, you need to enter the respective value for Torsional Moment and Torsional Shear Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Core Diameter?

In this formula, Core Diameter uses Torsional Moment and Torsional Shear Stress. We can use 9 other way(s) to calculate the same, which is/are as follows -

Core Diameter=Nominal Diameter-Pitch
Core Diameter=sqrt((4*Axial Load)/(pi*Compressive Stress))
Core Diameter=Force/(Transverse shear stress*pi*thread thickness*number of thread in contact with nut)
Core Diameter=sqrt((Nominal Diameter)^2-(4*Force/(bearing pressure*pi*number of thread in contact with nut)))
Core Diameter=sqrt((Equivalent/Nominal Diameter of Particle^2)-(Diameter of the Hole of Bolt^2))
Core Diameter=sqrt(Tensile load/((pi/4)*Maximum tensile stress))
Core Diameter=sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety))
Core Diameter=Shear Area/pi*Height of Nut
Core Diameter=Shear Yield Strength=Shear strength*Factor of safety/(pi*Shear Yield Strength*Height of Nut )

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