Axial Tensile Force given Tensile Stress in Hollow Shaft Calculator

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Design of Hollow Shaft

ASME Code for Shaft Desgin

Maximum Shear Stress and Principal Stress Theory

Shaft Design on Strength Basis

Torsional Rigidity

✖Tensile Stress in Hollow Shaft is stress that ensures that the stresses developed in a hollow shaft due to service loads do not exceed the elastic limit.ⓘ Tensile Stress in Hollow Shaft [σ_tp]			+10% -10%
✖Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.ⓘ Outer Diameter of Hollow Shaft [d_o]			+10% -10%
✖Inner Diameter of Hollow Shaft is defined as the length of the longest chord inside the hollow shaft.ⓘ Inner Diameter of Hollow Shaft [d_i]			+10% -10%

✖Axial Force on Hollow Shaft is defined as the compression or tension force acting on a hollow shaft.ⓘ Axial Tensile Force given Tensile Stress in Hollow Shaft [P_{ax hollow}]

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Formula

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Axial Tensile Force given Tensile Stress in Hollow Shaft

Formula

`"P"_{"ax hollow"} = "σ"_{"tp"}*pi/4*("d"_{"o"}^2-"d"_{"i"}^2)`

Example

`"25982.54N"="55.6N/mm²"*pi/4*(("46mm")^2-("39mm")^2)`

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Axial Tensile Force given Tensile Stress in Hollow Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2)
P_{ax hollow} = σ_tp*pi/4*(d_o^2-d_i^2)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Axial Force on Hollow Shaft - (Measured in Newton) - Axial Force on Hollow Shaft is defined as the compression or tension force acting on a hollow shaft.
Tensile Stress in Hollow Shaft - (Measured in Pascal) - Tensile Stress in Hollow Shaft is stress that ensures that the stresses developed in a hollow shaft due to service loads do not exceed the elastic limit.
Outer Diameter of Hollow Shaft - (Measured in Meter) - Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.
Inner Diameter of Hollow Shaft - (Measured in Meter) - Inner Diameter of Hollow Shaft is defined as the length of the longest chord inside the hollow shaft.

STEP 1: Convert Input(s) to Base Unit

Tensile Stress in Hollow Shaft: 55.6 Newton per Square Millimeter --> 55600000 Pascal (Check conversion here)
Outer Diameter of Hollow Shaft: 46 Millimeter --> 0.046 Meter (Check conversion here)
Inner Diameter of Hollow Shaft: 39 Millimeter --> 0.039 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{ax hollow} = σ_tp*pi/4*(d_o^2-d_i^2) --> 55600000*pi/4*(0.046^2-0.039^2)

Evaluating ... ...

P_{ax hollow} = 25982.5420415144

STEP 3: Convert Result to Output's Unit

25982.5420415144 Newton --> No Conversion Required

FINAL ANSWER

25982.5420415144 ≈ 25982.54 Newton <-- Axial Force on Hollow Shaft

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 23 Design of Hollow Shaft Calculators

Outer Diameter of Hollow Shaft given Principle Stress

Go Outer Diameter of Hollow Shaft = (16*(Bending Moment in Hollow Shaft+sqrt(Bending Moment in Hollow Shaft^2+Torsional Moment in Hollow Shaft^2))/(pi*Maximum Principle Stress in Hollow Shaft*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3)

Ratio of Diameters given Principle Stress

Go Ratio of Inner to Outer Diameter of Hollow Shaft = (1-16*(Bending Moment in Hollow Shaft+sqrt(Bending Moment in Hollow Shaft^2+Torsional Moment in Hollow Shaft^2))/(pi*Outer Diameter of Hollow Shaft^3*Maximum Principle Stress in Hollow Shaft))^(1/4)

Principle Stress Maximum Principle Stress Theory

Go Maximum Principle Stress in Hollow Shaft = 16*(Bending Moment in Hollow Shaft+sqrt(Bending Moment in Hollow Shaft^2+Torsional Moment in Hollow Shaft^2))/(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))

Outer Diameter of Hollow Shaft given Angle of Twist Torsional Rigidity

Go Outer Diameter of Hollow Shaft = (584*Torsional Moment in Hollow Shaft*Length of Hollow Shaft/(Modulus of Rigidity of Hollow Shaft*Angle of Twist of Hollow Shaft*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/4)

Ratio of Diameters given Angle of Twist of Hollow Shaft and Torsional Rigidity

Go Ratio of Inner to Outer Diameter of Hollow Shaft = (1-584*Torsional Moment in Hollow Shaft*Length of Hollow Shaft/(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*Angle of Twist of Hollow Shaft))^(1/4)

Length of Shaft given Angle of Twist of Hollow Shaft on Basis of Torsional Rigidity

Go Length of Hollow Shaft = Angle of Twist of Hollow Shaft*(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/(584*Torsional Moment in Hollow Shaft)

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity

Go Torsional Moment in Hollow Shaft = Angle of Twist of Hollow Shaft*(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/(584*Length of Hollow Shaft)

Modulus of Rigidity given Angle of Twist of Hollow Shaft on basis of Torsional Rigidity

Go Modulus of Rigidity of Hollow Shaft = 584*Torsional Moment in Hollow Shaft*Length of Hollow Shaft/(Angle of Twist of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))

Angle of Twist of Hollow Shaft on Basis of Torsional Rigidity

Go Angle of Twist of Hollow Shaft = 584*Torsional Moment in Hollow Shaft*Length of Hollow Shaft/(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))

Ratio of Diameters given Tensile Stress in Hollow Shaft

Go Ratio of Inner to Outer Diameter of Hollow Shaft = sqrt(1-(Axial Force on Hollow Shaft/(pi/4*Tensile Stress in Hollow Shaft*Outer Diameter of Hollow Shaft^2)))

Outer Diameter of Shaft given Torsional Shear Stress

Go Outer Diameter of Hollow Shaft = (16*Torsional Moment in Hollow Shaft/(pi*Torsional Shear Stress in Hollow Shaft*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3)

Ratio of Diameter given Torsional Shear Stress in Hollow Shaft

Go Ratio of Inner to Outer Diameter of Hollow Shaft = (1-16*Torsional Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*Torsional Shear Stress in Hollow Shaft))^(1/4)

Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment

Go Torsional Shear Stress in Hollow Shaft = 16*Torsional Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))

Torsional Moment given Torsional Shear Stress in Hollow Shaft

Go Torsional Moment in Hollow Shaft = Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16

Outer Diameter of Hollow Shaft given Bending Stress of Hollow Shaft

Go Outer Diameter of Hollow Shaft = (32*Bending Moment in Hollow Shaft/(pi*Bending Stress in Hollow Shaft*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3)

Ratio of Diameters given Bending Stress of Hollow Shaft

Go Ratio of Inner to Outer Diameter of Hollow Shaft = (1-32*Bending Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*Bending Stress in Hollow Shaft))^(1/4)

Bending Moment given Bending Stress in Hollow Shaft

Go Bending Moment in Hollow Shaft = Bending Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-(Ratio of Inner to Outer Diameter of Hollow Shaft^4)))/32

Bending Stress in Hollow Shaft

Go Bending Stress in Hollow Shaft = 32*Bending Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))

Tensile Stress in Hollow Shaft when Subjected to Axial Force

Go Tensile Stress in Hollow Shaft = Axial Force on Hollow Shaft/(pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2))

Axial Tensile Force given Tensile Stress in Hollow Shaft

Go Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2)

Inner Diameter of Hollow Shaft given Ratio of Diameters

Go Inner Diameter of Hollow Shaft = Ratio of Inner to Outer Diameter of Hollow Shaft*Outer Diameter of Hollow Shaft

Ratio of Inner Diameter to Outer Diameter

Go Ratio of Inner to Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Outer Diameter of Hollow Shaft

Outer Diameter given Ratio of Diameters

Go Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Ratio of Inner to Outer Diameter of Hollow Shaft

Axial Tensile Force given Tensile Stress in Hollow Shaft Formula

Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2)
P_{ax hollow} = σ_tp*pi/4*(d_o^2-d_i^2)

Define Axial Tensile Force

Axial tension force can be defined as the force acting on a body in its axial direction. When a tensile force is applied to a material, it develops a stress corresponding to the applied force, contracting the cross-section and elongating the length.

How to Calculate Axial Tensile Force given Tensile Stress in Hollow Shaft?

Axial Tensile Force given Tensile Stress in Hollow Shaft calculator uses Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2) to calculate the Axial Force on Hollow Shaft, Axial Tensile Force given Tensile Stress in Hollow Shaft formula is defined as the force acting on a body in its axial direction. When a tensile force is applied to a material, it develops a stress corresponding to the applied force, contracting the cross-section and elongating the length. Axial Force on Hollow Shaft is denoted by P_{ax hollow} symbol.

How to calculate Axial Tensile Force given Tensile Stress in Hollow Shaft using this online calculator? To use this online calculator for Axial Tensile Force given Tensile Stress in Hollow Shaft, enter Tensile Stress in Hollow Shaft (σ_tp), Outer Diameter of Hollow Shaft (d_o) & Inner Diameter of Hollow Shaft (d_i) and hit the calculate button. Here is how the Axial Tensile Force given Tensile Stress in Hollow Shaft calculation can be explained with given input values -> 25982.54 = 55600000*pi/4*(0.046^2-0.039^2).

FAQ

What is Axial Tensile Force given Tensile Stress in Hollow Shaft?

Axial Tensile Force given Tensile Stress in Hollow Shaft formula is defined as the force acting on a body in its axial direction. When a tensile force is applied to a material, it develops a stress corresponding to the applied force, contracting the cross-section and elongating the length and is represented as P_{ax hollow} = σ_tp*pi/4*(d_o^2-d_i^2) or Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2). Tensile Stress in Hollow Shaft is stress that ensures that the stresses developed in a hollow shaft due to service loads do not exceed the elastic limit, Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft & Inner Diameter of Hollow Shaft is defined as the length of the longest chord inside the hollow shaft.

How to calculate Axial Tensile Force given Tensile Stress in Hollow Shaft?

Axial Tensile Force given Tensile Stress in Hollow Shaft formula is defined as the force acting on a body in its axial direction. When a tensile force is applied to a material, it develops a stress corresponding to the applied force, contracting the cross-section and elongating the length is calculated using Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2). To calculate Axial Tensile Force given Tensile Stress in Hollow Shaft, you need Tensile Stress in Hollow Shaft (σ_tp), Outer Diameter of Hollow Shaft (d_o) & Inner Diameter of Hollow Shaft (d_i). With our tool, you need to enter the respective value for Tensile Stress in Hollow Shaft, Outer Diameter of Hollow Shaft & Inner Diameter of Hollow Shaft 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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