Diameter of Shaft given Tensile Stress in Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))
d = sqrt(4*Pax/(pi*σt))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Axial Force on Shaft: 126000 Newton --> 126000 Newton No Conversion Required
Tensile Stress in Shaft: 72.8 Newton per Square Millimeter --> 72800000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt(4*Pax/(pi*σt)) --> sqrt(4*126000/(pi*72800000))
Evaluating ... ...
d = 0.0469434109053256
STEP 3: Convert Result to Output's Unit
0.0469434109053256 Meter -->46.9434109053256 Millimeter (Check conversion here)
FINAL ANSWER
46.9434109053256 46.94341 Millimeter <-- Diameter of Shaft on Strength Basis
(Calculation completed in 00.004 seconds)

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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

Diameter of Shaft given Tensile Stress in Shaft Formula

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

Define Tensile Stress

Tensile stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force. Tensile means the material is under tension and that there are forces acting on it trying to stretch the material.

How to Calculate Diameter of Shaft given Tensile Stress in Shaft?

Diameter of Shaft given Tensile Stress in Shaft calculator uses Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft)) to calculate the Diameter of Shaft on Strength Basis, The Diameter of Shaft given Tensile Stress in Shaft formula is defined as the diameter of the shaft on which we gonna apply the axial tensile force. Diameter of Shaft on Strength Basis is denoted by d symbol.

How to calculate Diameter of Shaft given Tensile Stress in Shaft using this online calculator? To use this online calculator for Diameter of Shaft given Tensile Stress in Shaft, enter Axial Force on Shaft (Pax) & Tensile Stress in Shaft t) and hit the calculate button. Here is how the Diameter of Shaft given Tensile Stress in Shaft calculation can be explained with given input values -> 46943.41 = sqrt(4*126000/(pi*72800000)).

FAQ

What is Diameter of Shaft given Tensile Stress in Shaft?
The Diameter of Shaft given Tensile Stress in Shaft formula is defined as the diameter of the shaft on which we gonna apply the axial tensile force and is represented as d = sqrt(4*Pax/(pi*σt)) or Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft)). Axial Force on Shaft is defined as the compression or tension force acting in a shaft & Tensile Stress in Shaft is the stress developed in a shaft due to service loads acting to generate tension in the shaft.
How to calculate Diameter of Shaft given Tensile Stress in Shaft?
The Diameter of Shaft given Tensile Stress in Shaft formula is defined as the diameter of the shaft on which we gonna apply the axial tensile force is calculated using Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft)). To calculate Diameter of Shaft given Tensile Stress in Shaft, you need Axial Force on Shaft (Pax) & Tensile Stress in Shaft t). With our tool, you need to enter the respective value for Axial Force on Shaft & Tensile Stress in Shaft 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 Diameter of Shaft on Strength Basis?
In this formula, Diameter of Shaft on Strength Basis uses Axial Force on Shaft & Tensile Stress in Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Shaft on Strength Basis = ((32*Bending Moment in Shaft)/(pi*Bending Stress in Shaft))^(1/3)
  • Diameter of Shaft on Strength Basis = (16*Torsional Moment in Shaft/(pi*Torsional Shear Stress in Shaft))^(1/3)
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