Normal Stress given Both Bending and Torsional act on Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Stress in Shaft = Bending Stress in Shaft+Tensile Stress in Shaft
σx = σb+σt
This formula uses 3 Variables
Variables Used
Normal Stress in Shaft - (Measured in Pascal) - Normal Stress in Shaft is the stress that occurs when a shaft is loaded by an axial force.
Bending Stress in Shaft - (Measured in Pascal) - Bending Stress in Shaft is the normal stress that is induced at a point in a shaft subjected to loads that cause it to bend.
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
Bending Stress in Shaft: 177.8 Newton per Square Millimeter --> 177800000 Pascal (Check conversion here)
Tensile Stress in Shaft: 72.8 Newton per Square Millimeter --> 72800000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σx = σbt --> 177800000+72800000
Evaluating ... ...
σx = 250600000
STEP 3: Convert Result to Output's Unit
250600000 Pascal -->250.6 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
250.6 Newton per Square Millimeter <-- Normal Stress in Shaft
(Calculation completed in 00.020 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Verified by Urvi Rathod
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

Normal Stress given Both Bending and Torsional act on Shaft Formula

Normal Stress in Shaft = Bending Stress in Shaft+Tensile Stress in Shaft
σx = σb+σt

Define Normal Stress

A normal stress is a stress that occurs when a member is loaded by an axial force. A normal stress will occur when a member is placed in tension or compression. Examples of members experiencing pure normal forces would include columns, collar ties, etc.

How to Calculate Normal Stress given Both Bending and Torsional act on Shaft?

Normal Stress given Both Bending and Torsional act on Shaft calculator uses Normal Stress in Shaft = Bending Stress in Shaft+Tensile Stress in Shaft to calculate the Normal Stress in Shaft, The Normal Stress given Both Bending and Torsional act on Shaft formula is defined as the stress that occurs when a member is loaded by an axial force. A normal stress will occur when a member is placed in tension or compression. Normal Stress in Shaft is denoted by σx symbol.

How to calculate Normal Stress given Both Bending and Torsional act on Shaft using this online calculator? To use this online calculator for Normal Stress given Both Bending and Torsional act on Shaft, enter Bending Stress in Shaft b) & Tensile Stress in Shaft t) and hit the calculate button. Here is how the Normal Stress given Both Bending and Torsional act on Shaft calculation can be explained with given input values -> 0.000251 = 177800000+72800000.

FAQ

What is Normal Stress given Both Bending and Torsional act on Shaft?
The Normal Stress given Both Bending and Torsional act on Shaft formula is defined as the stress that occurs when a member is loaded by an axial force. A normal stress will occur when a member is placed in tension or compression and is represented as σx = σbt or Normal Stress in Shaft = Bending Stress in Shaft+Tensile Stress in Shaft. Bending Stress in Shaft is the normal stress that is induced at a point in a shaft subjected to loads that cause it to bend & 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 Normal Stress given Both Bending and Torsional act on Shaft?
The Normal Stress given Both Bending and Torsional act on Shaft formula is defined as the stress that occurs when a member is loaded by an axial force. A normal stress will occur when a member is placed in tension or compression is calculated using Normal Stress in Shaft = Bending Stress in Shaft+Tensile Stress in Shaft. To calculate Normal Stress given Both Bending and Torsional act on Shaft, you need Bending Stress in Shaft b) & Tensile Stress in Shaft t). With our tool, you need to enter the respective value for Bending Stress in 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 Normal Stress in Shaft?
In this formula, Normal Stress in Shaft uses Bending Stress in Shaft & Tensile Stress in Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Normal Stress in Shaft = 2*sqrt(Principal Shear Stress in Shaft^2-Torsional Shear Stress in Shaft^2)
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