Axial Force given Tensile Stress in Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4
Pax = σt*pi*(d^2)/4
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Axial Force on Shaft - (Measured in Newton) - Axial Force on Shaft is defined as the compression or tension force acting in a shaft.
Tensile Stress in Shaft - (Measured in Pascal) - Tensile Stress in Shaft is the stress developed in a shaft due to service loads acting to generate tension in the shaft.
Diameter of Shaft on Strength Basis - (Measured in Meter) - Diameter of Shaft on Strength Basis is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
STEP 1: Convert Input(s) to Base Unit
Tensile Stress in Shaft: 72.8 Newton per Square Millimeter --> 72800000 Pascal (Check conversion here)
Diameter of Shaft on Strength Basis: 46.9 Millimeter --> 0.0469 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pax = σt*pi*(d^2)/4 --> 72800000*pi*(0.0469^2)/4
Evaluating ... ...
Pax = 125767.07082508
STEP 3: Convert Result to Output's Unit
125767.07082508 Newton --> No Conversion Required
FINAL ANSWER
125767.07082508 125767.1 Newton <-- Axial Force on Shaft
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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16 Shaft Design on Strength Basis Calculators

Diameter of Shaft given Tensile Stress in Shaft
Go Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))
Diameter of Shaft given Torsional Shear Stress in Shaft Pure Torsion
Go Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3)
Torsional Moment given Torsional Shear Stress in Shaft Pure Torsion
Go Torsional Moment in Shaft = Torsional Shear Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^3)/16
Torsional Shear Stress in Shaft Pure Torsion
Go Torsional Shear Stress in Shaft = 16*Torsional Moment in Shaft/(pi*Diameter of Shaft on Strength Basis^3)
Diameter of Shaft given Bending Stress Pure Bending
Go Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)
Torsional Shear Stress given Principal Shear Stress in Shaft
Go Torsional Shear Stress in Shaft = sqrt(Principal Shear Stress in Shaft^2-(Normal Stress in Shaft/2)^2)
Normal Stress given Principal Shear Stress in Shaft Bending and Torsion
Go Normal Stress in Shaft = 2*sqrt(Principal Shear Stress in Shaft^2-Torsional Shear Stress in Shaft^2)
Maximum Shear Stress in Shaft Bending and Torsion
Go Maximum Shear Stress in Shaft = sqrt((Normal Stress in Shaft/2)^2+Torsional Shear Stress in Shaft^2)
Bending Stress in Shaft Pure Bending Moment
Go Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3)
Bending Moment given Bending Stress Pure Bending
Go Bending Moment in Shaft = (Bending Stress in Shaft*pi*Diameter of Shaft on Strength Basis^3)/32
Tensile Stress in Shaft when it is Subjected to Axial Tensile Force
Go Tensile Stress in Shaft = 4*Axial Force on Shaft/(pi*Diameter of Shaft on Strength Basis^2)
Axial Force given Tensile Stress in Shaft
Go Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4
Power transmitted by Shaft
Go Power Transmitted by Shaft = 2*pi*Speed of Shaft*Torque transmitted by Shaft
Normal Stress given Both Bending and Torsional act on Shaft
Go Normal Stress in Shaft = Bending Stress in Shaft+Tensile Stress in Shaft
Tensile Stress given Normal Stress
Go Tensile Stress in Shaft = Normal Stress in Shaft-Bending Stress in Shaft
Bending Stress given Normal Stress
Go Bending Stress in Shaft = Normal Stress in Shaft-Tensile Stress in Shaft

Axial Force given Tensile Stress in Shaft Formula

Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4
Pax = σt*pi*(d^2)/4

Define Axial Force

Axial force is the compression or tension force acting in a member. If the axial force acts through the centroid of the member it is called concentric loading. If the force is not acting through the centroid it's called eccentric loading.

How to Calculate Axial Force given Tensile Stress in Shaft?

Axial Force given Tensile Stress in Shaft calculator uses Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4 to calculate the Axial Force on Shaft, The Axial Force given Tensile Stress in Shaft formula is defined as the compression or tension force acting in a member. If the axial force acts through the centroid of the member it is called concentric loading. Axial Force on Shaft is denoted by Pax symbol.

How to calculate Axial Force given Tensile Stress in Shaft using this online calculator? To use this online calculator for Axial Force given Tensile Stress in Shaft, enter Tensile Stress in Shaft t) & Diameter of Shaft on Strength Basis (d) and hit the calculate button. Here is how the Axial Force given Tensile Stress in Shaft calculation can be explained with given input values -> 125767.1 = 72800000*pi*(0.0469^2)/4.

FAQ

What is Axial Force given Tensile Stress in Shaft?
The Axial Force given Tensile Stress in Shaft formula is defined as the compression or tension force acting in a member. If the axial force acts through the centroid of the member it is called concentric loading and is represented as Pax = σt*pi*(d^2)/4 or Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4. Tensile Stress in Shaft is the stress developed in a shaft due to service loads acting to generate tension in the shaft & Diameter of Shaft on Strength Basis is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
How to calculate Axial Force given Tensile Stress in Shaft?
The Axial Force given Tensile Stress in Shaft formula is defined as the compression or tension force acting in a member. If the axial force acts through the centroid of the member it is called concentric loading is calculated using Axial Force on Shaft = Tensile Stress in Shaft*pi*(Diameter of Shaft on Strength Basis^2)/4. To calculate Axial Force given Tensile Stress in Shaft, you need Tensile Stress in Shaft t) & Diameter of Shaft on Strength Basis (d). With our tool, you need to enter the respective value for Tensile Stress in Shaft & Diameter of Shaft on Strength Basis 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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