Torsional Shear Stress in Bar Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3)
σs = (8*F*dcoil)/(pi*ds^3)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Torsional Shear Stress - (Measured in Pascal) - Torsional Shear Stress is the shear stress produced against torsional load or twisting load.
Force - (Measured in Newton) - Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.
Mean Diameter of Coil - (Measured in Meter) - Mean diameter of coil is a straight line passing through the center of the coil base.
Diameter of Spring Wire - (Measured in Meter) - Diameter of spring wire is the diameter length of spring wire.
STEP 1: Convert Input(s) to Base Unit
Force: 2.5 Newton --> 2.5 Newton No Conversion Required
Mean Diameter of Coil: 5.4 Millimeter --> 0.0054 Meter (Check conversion here)
Diameter of Spring Wire: 600 Millimeter --> 0.6 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σs = (8*F*dcoil)/(pi*ds^3) --> (8*2.5*0.0054)/(pi*0.6^3)
Evaluating ... ...
σs = 0.159154943091895
STEP 3: Convert Result to Output's Unit
0.159154943091895 Pascal -->1.59154943091895E-07 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
1.59154943091895E-07 1.6E-7 Newton per Square Millimeter <-- Torsional Shear Stress
(Calculation completed in 00.004 seconds)

Credits

Created by Akshay Talbar
Vishwakarma University (VU), Pune
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National Institute Of Technology (NIT), Hamirpur
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10+ Stress in Design Calculators

Design of Shaft using ASME Code
Go Maximum Shearing Stress = (16*sqrt((Combined Shock and Fatigue Factor to Bending*Bending Moment)^2+(Combined Shock and Fatigue Factor to Torsion*Torsional Moment)^2))/(pi*Diameter of Shaft^3)
Shear Stress on Circular Fillet Weld Subjected to Torsion
Go Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2)
Torsional Shear Stress in Bar
Go Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3)
Maximum Bending Stress
Go Maximum Bending Stress = (Bending Moment*Distance from Neutral Axis to Extreme Point)/(Polar Moment of Inertia)
Shear Stress for Long Fillet Weld Subjected to Torsion
Go Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2)
Shear Stress in Parallel Fillet Weld
Go Shear stress in parallel fillet weld = Load on Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
Shear Stress in Double Parallel Fillet Weld
Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
Bolt Stress
Go Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2)
Bending Stress in Shaft
Go Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3)
Maximum Bending Stress given Rectangular Section Modulus
Go Maximum Bending Stress = Bending Moment/Rectangular Section Modulus

Torsional Shear Stress in Bar Formula

Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3)
σs = (8*F*dcoil)/(pi*ds^3)

What is torsional shear stress in bar?

When a shaft is subjected to a torque or twisting a shearing stress is produced in the shaft. The shear stress varies from zero in the axis to a maximum at the outside surface of the shaft.

How to Calculate Torsional Shear Stress in Bar?

Torsional Shear Stress in Bar calculator uses Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3) to calculate the Torsional Shear Stress, The Torsional Shear Stress in Bar can be defined as when a shaft is subjected to torque or twisting shearing stress is produced in the shaft. The shear stress varies from zero in the axis to a maximum at the outside surface of the shaft. Torsional Shear Stress is denoted by σs symbol.

How to calculate Torsional Shear Stress in Bar using this online calculator? To use this online calculator for Torsional Shear Stress in Bar, enter Force (F), Mean Diameter of Coil (dcoil) & Diameter of Spring Wire (ds) and hit the calculate button. Here is how the Torsional Shear Stress in Bar calculation can be explained with given input values -> 1.6E-13 = (8*2.5*0.0054)/(pi*0.6^3).

FAQ

What is Torsional Shear Stress in Bar?
The Torsional Shear Stress in Bar can be defined as when a shaft is subjected to torque or twisting shearing stress is produced in the shaft. The shear stress varies from zero in the axis to a maximum at the outside surface of the shaft and is represented as σs = (8*F*dcoil)/(pi*ds^3) or Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3). Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system, Mean diameter of coil is a straight line passing through the center of the coil base & Diameter of spring wire is the diameter length of spring wire.
How to calculate Torsional Shear Stress in Bar?
The Torsional Shear Stress in Bar can be defined as when a shaft is subjected to torque or twisting shearing stress is produced in the shaft. The shear stress varies from zero in the axis to a maximum at the outside surface of the shaft is calculated using Torsional Shear Stress = (8*Force*Mean Diameter of Coil)/(pi*Diameter of Spring Wire^3). To calculate Torsional Shear Stress in Bar, you need Force (F), Mean Diameter of Coil (dcoil) & Diameter of Spring Wire (ds). With our tool, you need to enter the respective value for Force, Mean Diameter of Coil & Diameter of Spring Wire 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 Torsional Shear Stress?
In this formula, Torsional Shear Stress uses Force, Mean Diameter of Coil & Diameter of Spring Wire. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Torsional Shear Stress = Torsional Moment in Welded Shaft/(pi*Throat Thickness of Weld*Radius of Welded Shaft^2)
  • Torsional Shear Stress = (3*Torsional Moment in Welded Shaft)/(Throat Thickness of Weld*Length of Weld^2)
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