Ratio of Diameters given Tensile Stress in Hollow Shaft Calculator

✖Axial Force on Hollow Shaft is defined as the compression or tension force acting on a hollow shaft.ⓘ Axial Force on Hollow Shaft [P_{ax hollow}]			+10% -10%
✖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%

✖The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.ⓘ Ratio of Diameters given Tensile Stress in Hollow Shaft [C]

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Ratio of Diameters given Tensile Stress in Hollow Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
C = sqrt(1-(P_{ax hollow}/(pi/4*σ_tp*d_o^2)))
This formula uses 1 Constants, 1 Functions, 4 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

Ratio of Inner to Outer Diameter of Hollow Shaft - The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.
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.

STEP 1: Convert Input(s) to Base Unit

Axial Force on Hollow Shaft: 25980 Newton --> 25980 Newton No Conversion Required
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = sqrt(1-(P_{ax hollow}/(pi/4*σ_tp*d_o^2))) --> sqrt(1-(25980/(pi/4*55600000*0.046^2)))

Evaluating ... ...

C = 0.847842311084974

STEP 3: Convert Result to Output's Unit

0.847842311084974 --> No Conversion Required

FINAL ANSWER

0.847842311084974 ≈ 0.847842 <-- Ratio of Inner to Outer Diameter of 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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< Design of Hollow Shaft Calculators

Tensile Stress in Hollow Shaft when Subjected to Axial Force

LaTeX 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))

Inner Diameter of Hollow Shaft given Ratio of Diameters

LaTeX 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

LaTeX 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

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

Ratio of Diameters given Tensile Stress in Hollow Shaft Formula

LaTeX Go

Define Tensile Stress

Tensile stress is defined as the force per unit area induced in the body in response to externally applied force, which tends to elongate or stretch the body.

How to Calculate Ratio of Diameters given Tensile Stress in Hollow Shaft?

Ratio of Diameters given Tensile Stress in Hollow Shaft calculator uses 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))) to calculate the Ratio of Inner to Outer Diameter of Hollow Shaft, Ratio of Diameters given Tensile Stress in Hollow Shaft formula is defined as a dimensionless value that represents the ratio of the outer diameter to the inner diameter of a hollow shaft, which is a critical parameter in the design of hollow shafts to withstand tensile stress and ensure structural integrity. Ratio of Inner to Outer Diameter of Hollow Shaft is denoted by C symbol.

How to calculate Ratio of Diameters given Tensile Stress in Hollow Shaft using this online calculator? To use this online calculator for Ratio of Diameters given Tensile Stress in Hollow Shaft, enter Axial Force on Hollow Shaft (P_{ax hollow}), Tensile Stress in Hollow Shaft (σ_tp) & Outer Diameter of Hollow Shaft (d_o) and hit the calculate button. Here is how the Ratio of Diameters given Tensile Stress in Hollow Shaft calculation can be explained with given input values -> 0.847842 = sqrt(1-(25980/(pi/4*55600000*0.046^2))).

FAQ

What is Ratio of Diameters given Tensile Stress in Hollow Shaft?

Ratio of Diameters given Tensile Stress in Hollow Shaft formula is defined as a dimensionless value that represents the ratio of the outer diameter to the inner diameter of a hollow shaft, which is a critical parameter in the design of hollow shafts to withstand tensile stress and ensure structural integrity and is represented as C = sqrt(1-(P_{ax hollow}/(pi/4*σ_tp*d_o^2))) or 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))). Axial Force on Hollow Shaft is defined as the compression or tension force acting on a hollow shaft, 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.

How to calculate Ratio of Diameters given Tensile Stress in Hollow Shaft?

Ratio of Diameters given Tensile Stress in Hollow Shaft formula is defined as a dimensionless value that represents the ratio of the outer diameter to the inner diameter of a hollow shaft, which is a critical parameter in the design of hollow shafts to withstand tensile stress and ensure structural integrity is calculated using 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))). To calculate Ratio of Diameters given Tensile Stress in Hollow Shaft, you need Axial Force on Hollow Shaft (P_{ax hollow}), Tensile Stress in Hollow Shaft (σ_tp) & Outer Diameter of Hollow Shaft (d_o). With our tool, you need to enter the respective value for Axial Force on Hollow Shaft, Tensile Stress in Hollow Shaft & Outer 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.

How many ways are there to calculate Ratio of Inner to Outer Diameter of Hollow Shaft?

In this formula, Ratio of Inner to Outer Diameter of Hollow Shaft uses Axial Force on Hollow Shaft, Tensile Stress in Hollow Shaft & Outer Diameter of Hollow Shaft. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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