Diameter of Shaft given Tensile Stress in Shaft Calculator

✖Axial Force on Shaft is the force exerted along the longitudinal axis of the shaft, affecting its strength and stability in shaft design.ⓘ Axial Force on Shaft [P_ax]			+10% -10%
✖Tensile Stress in Shaft is the maximum axial stress a shaft can withstand without undergoing deformation or breaking under external loads.ⓘ Tensile Stress in Shaft [σ_t]			+10% -10%

✖Diameter of Shaft on Strength Basis is the diameter of a shaft calculated based on the strength requirements of the shaft design.ⓘ Diameter of Shaft given Tensile Stress in Shaft [d]

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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*P_ax/(pi*σ_t))
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 a shaft calculated based on the strength requirements of the shaft design.
Axial Force on Shaft - (Measured in Newton) - Axial Force on Shaft is the force exerted along the longitudinal axis of the shaft, affecting its strength and stability in shaft design.
Tensile Stress in Shaft - (Measured in Pascal) - Tensile Stress in Shaft is the maximum axial stress a shaft can withstand without undergoing deformation or breaking under external loads.

STEP 1: Convert Input(s) to Base Unit

Axial Force on Shaft: 125767.1 Newton --> 125767.1 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*P_ax/(pi*σ_t)) --> sqrt(4*125767.1/(pi*72800000))

Evaluating ... ...

d = 0.0469000054398328

STEP 3: Convert Result to Output's Unit

0.0469000054398328 Meter -->46.9000054398328 Millimeter (Check conversion here)

FINAL ANSWER

46.9000054398328 ≈ 46.90001 Millimeter <-- Diameter of Shaft on Strength Basis

(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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< Shaft Design on Strength Basis Calculators

Diameter of Shaft given Tensile Stress in Shaft

LaTeX Go Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft))

Bending Stress in Shaft Pure Bending Moment

LaTeX Go Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3)

Tensile Stress in Shaft when it is Subjected to Axial Tensile Force

LaTeX 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

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

Diameter of Shaft given Tensile Stress in Shaft Formula

LaTeX Go

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

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, Diameter of Shaft given Tensile Stress in Shaft formula is defined as the diameter of a shaft that can withstand a given axial load or tensile stress, providing a safe and reliable design for shafts in mechanical systems, ensuring optimal performance and minimizing the risk of failure. 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 (P_ax) & Tensile Stress in Shaft (σ_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*125767.1/(pi*72800000)).

FAQ

What is Diameter of Shaft given Tensile Stress in Shaft?

Diameter of Shaft given Tensile Stress in Shaft formula is defined as the diameter of a shaft that can withstand a given axial load or tensile stress, providing a safe and reliable design for shafts in mechanical systems, ensuring optimal performance and minimizing the risk of failure and is represented as d = sqrt(4*P_ax/(pi*σ_t)) or Diameter of Shaft on Strength Basis = sqrt(4*Axial Force on Shaft/(pi*Tensile Stress in Shaft)). Axial Force on Shaft is the force exerted along the longitudinal axis of the shaft, affecting its strength and stability in shaft design & Tensile Stress in Shaft is the maximum axial stress a shaft can withstand without undergoing deformation or breaking under external loads.

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

Diameter of Shaft given Tensile Stress in Shaft formula is defined as the diameter of a shaft that can withstand a given axial load or tensile stress, providing a safe and reliable design for shafts in mechanical systems, ensuring optimal performance and minimizing the risk of failure 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 (P_ax) & Tensile Stress in Shaft (σ_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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