Twisting Moment given Maximum Shear Stress induced in Wire Calculator

✖Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces.ⓘ Maximum Shear Stress in Wire [𝜏_w]			+10% -10%
✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire [d]			+10% -10%

✖Twisting Moments on Shells is the torque applied to the shaft or shell in order to make the structures twisted.ⓘ Twisting Moment given Maximum Shear Stress induced in Wire [D]

⎘ Copy

👎

Formula

✖

Twisting Moment given Maximum Shear Stress induced in Wire

Formula

`"D" = (pi*"𝜏"_{"w"}*"d"^3)/16`

Example

`"0.055217kN*m"=(pi*"16MPa"*("26mm")^3)/16`

Calculator

LaTeX

Reset

👍

Download Springs Formula PDF

Twisting Moment given Maximum Shear Stress induced in Wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

Maximum Shear Stress in Wire: 16 Megapascal --> 16000000 Pascal (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (pi*𝜏_w*d^3)/16 --> (pi*16000000*0.026^3)/16

Evaluating ... ...

D = 55.2166324794942

STEP 3: Convert Result to Output's Unit

55.2166324794942 Newton Meter -->0.0552166324794942 Kilonewton Meter (Check conversion here)

FINAL ANSWER

0.0552166324794942 ≈ 0.055217 Kilonewton Meter <-- Twisting Moments on Shells

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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

Twisting Moment given Maximum Shear Stress induced in Wire Formula

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

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 Twisting Moment given Maximum Shear Stress induced in Wire?

Twisting Moment given Maximum Shear Stress induced in Wire calculator uses Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16 to calculate the Twisting Moments on Shells, The Twisting moment given maximum shear stress induced in wire formula is defined as the twisting of a beam under the action of a torque. Twisting Moments on Shells is denoted by D symbol.

How to calculate Twisting Moment given Maximum Shear Stress induced in Wire using this online calculator? To use this online calculator for Twisting Moment given Maximum Shear Stress induced in Wire, enter Maximum Shear Stress in Wire (𝜏_w) & Diameter of Spring Wire (d) and hit the calculate button. Here is how the Twisting Moment given Maximum Shear Stress induced in Wire calculation can be explained with given input values -> 5.5E-5 = (pi*16000000*0.026^3)/16.

FAQ

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

The Twisting moment given maximum shear stress induced in wire formula is defined as the twisting of a beam under the action of a torque and is represented as D = (pi*𝜏_w*d^3)/16 or Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16. Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces & Diameter of spring wire is the diameter length of spring wire.

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

The Twisting moment given maximum shear stress induced in wire formula is defined as the twisting of a beam under the action of a torque is calculated using Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16. To calculate Twisting Moment given Maximum Shear Stress induced in Wire, you need Maximum Shear Stress in Wire (𝜏_w) & Diameter of Spring Wire (d). With our tool, you need to enter the respective value for Maximum Shear Stress in Wire & 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 Twisting Moments on Shells?

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

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

Home

FREE PDFs

🔍 Search