Maximum Shear Stress induced in Wire given Twisting Moment Calculator

✖Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.ⓘ Twisting Moments on Shells [D]			+10% -10%
✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire [d]			+10% -10%

✖Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces.ⓘ Maximum Shear Stress induced in Wire given Twisting Moment [𝜏_w]

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Formula

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Maximum Shear Stress induced in Wire given Twisting Moment

Formula

`"𝜏"_{"w"} = (16*"D")/(pi*"d"^3)`

Example

`"927.2568MPa"=(16*"3.2kN*m")/(pi*("26mm")^3)`

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Maximum Shear Stress induced in Wire given Twisting Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3)
𝜏_w = (16*D)/(pi*d^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Shear Stress in Wire - (Measured in Pascal) - Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces.
Twisting Moments on Shells - (Measured in Newton Meter) - Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.
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

Twisting Moments on Shells: 3.2 Kilonewton Meter --> 3200 Newton Meter (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_w = (16*D)/(pi*d^3) --> (16*3200)/(pi*0.026^3)

Evaluating ... ...

𝜏_w = 927256837.312818

STEP 3: Convert Result to Output's Unit

927256837.312818 Pascal -->927.256837312818 Megapascal (Check conversion here)

FINAL ANSWER

927.256837312818 ≈ 927.2568 Megapascal <-- Maximum Shear Stress in Wire

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Springs » Helical Springs » Maximum Shear Stress induced in Wire given Twisting Moment

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 22 Helical Springs Calculators

Modulus of Rigidity given Strain Energy Stored by Spring

Go Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)

Number of Coils given Strain Energy Stored by Spring

Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Mean Radius Spring Coil^3)

Strain Energy Stored by Spring

Go Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4)

Modulus of Rigidity given Deflection of Spring

Go Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)

Number of Coils given Deflection of Spring

Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)

Number of Coils of Helical Spring given Stiffness of Spring

Go Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring)

Modulus of Rigidity given Stiffness of Helical Spring

Go Modulus of Rigidity of Spring = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4)

Stiffness of Helical Spring

Go Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)

Maximum Shear Stress induced in Wire

Go Maximum Shear Stress in Wire = (16*Axial Load*Mean Radius Spring Coil)/(pi*Diameter of Spring Wire^3)

Maximum Shear Stress induced in Wire given Twisting Moment

Go Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3)

Twisting Moment given Maximum Shear Stress induced in Wire

Go Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16

Number of Coils given Total Length of Wire of Spring

Go Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)

Total Length of Wire of Helical Spring given Mean Radius of Spring Roll

Go Length of Wire of Spring = 2*pi*Mean Radius Spring Coil*Number of Coils

Twisting Moment on Wire of Helical Spring

Go Twisting Moments on Shells = Axial Load*Mean Radius Spring Coil

Stiffness of Spring given Deflection of Spring

Go Stiffness of Helical Spring = Axial Load/Deflection of Spring

Deflection of Spring given Stiffness of Spring

Go Deflection of Spring = Axial Load/Stiffness of Helical Spring

Total Length of Wire of Helical Spring

Go Length of Wire of Spring = Length of One Coil*Number of Coils

Work Done on Spring given Axial Load on Spring

Go Work Done = (Axial Load*Deflection of Spring)/2

Deflection of Spring given Work Done on Spring

Go Deflection of Spring = (2*Work Done)/Axial Load

Deflection given Average Load on Spring

Go Deflection of Spring = Work Done/Average Load

Work Done on Spring given Average Load

Go Work Done = Average Load*Deflection of Spring

Average Load on Spring

Go Average Load = Work Done/Deflection of Spring

Maximum Shear Stress induced in Wire given Twisting Moment Formula

Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3)
𝜏_w = (16*D)/(pi*d^3)

Where does shear stress occur?

The maximum shear stress occurs at the neutral axis and is zero at both the top and bottom surfaces of the beam. Shear flow has the units of force per unit distance.

How to Calculate Maximum Shear Stress induced in Wire given Twisting Moment?

Maximum Shear Stress induced in Wire given Twisting Moment calculator uses Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3) to calculate the Maximum Shear Stress in Wire, The Maximum shear stress induced in wire given twisting moment formula is defined as the component of stress coplanar with a material cross-section. It arises from the shear force, the component of the force vector parallel to the material cross-section. Maximum Shear Stress in Wire is denoted by 𝜏_w symbol.

How to calculate Maximum Shear Stress induced in Wire given Twisting Moment using this online calculator? To use this online calculator for Maximum Shear Stress induced in Wire given Twisting Moment, enter Twisting Moments on Shells (D) & Diameter of Spring Wire (d) and hit the calculate button. Here is how the Maximum Shear Stress induced in Wire given Twisting Moment calculation can be explained with given input values -> 0.028977 = (16*3200)/(pi*0.026^3).

FAQ

What is Maximum Shear Stress induced in Wire given Twisting Moment?

The Maximum shear stress induced in wire given twisting moment formula is defined as the component of stress coplanar with a material cross-section. It arises from the shear force, the component of the force vector parallel to the material cross-section and is represented as 𝜏_w = (16*D)/(pi*d^3) or Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3). Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted & Diameter of spring wire is the diameter length of spring wire.

How to calculate Maximum Shear Stress induced in Wire given Twisting Moment?

The Maximum shear stress induced in wire given twisting moment formula is defined as the component of stress coplanar with a material cross-section. It arises from the shear force, the component of the force vector parallel to the material cross-section is calculated using Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3). To calculate Maximum Shear Stress induced in Wire given Twisting Moment, you need Twisting Moments on Shells (D) & Diameter of Spring Wire (d). With our tool, you need to enter the respective value for Twisting Moments on Shells & 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 Maximum Shear Stress in Wire?

In this formula, Maximum Shear Stress in Wire uses Twisting Moments on Shells & Diameter of Spring Wire. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Shear Stress in Wire = (16*Axial Load*Mean Radius Spring Coil)/(pi*Diameter of Spring Wire^3)

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