Bending Stress given Normal Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending Stress in Shaft = Normal Stress in Shaft-Tensile Stress in Shaft
σb = σx-σt
This formula uses 3 Variables
Variables Used
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.
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.
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
Normal Stress in Shaft: 250.6 Newton per Square Millimeter --> 250600000 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
σb = σxt --> 250600000-72800000
Evaluating ... ...
σb = 177800000
STEP 3: Convert Result to Output's Unit
177800000 Pascal -->177.8 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
177.8 Newton per Square Millimeter <-- Bending Stress in Shaft
(Calculation completed in 00.020 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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

Bending Stress given Normal Stress Formula

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

Define Bending Stress

Bending stress is a more specific type of normal stress. When a beam experiences load like that shown in figure one the top fibers of the beam undergo a normal compressive stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo a normal tensile stress.

How to Calculate Bending Stress given Normal Stress?

Bending Stress given Normal Stress calculator uses Bending Stress in Shaft = Normal Stress in Shaft-Tensile Stress in Shaft to calculate the Bending Stress in Shaft, The Bending Stress given Normal Stress formula is defined as the top fibers of the beam undergo a normal compressive stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo a normal tensile stress. Bending Stress in Shaft is denoted by σb symbol.

How to calculate Bending Stress given Normal Stress using this online calculator? To use this online calculator for Bending Stress given Normal Stress, enter Normal Stress in Shaft x) & Tensile Stress in Shaft t) and hit the calculate button. Here is how the Bending Stress given Normal Stress calculation can be explained with given input values -> 0.000178 = 250600000-72800000.

FAQ

What is Bending Stress given Normal Stress?
The Bending Stress given Normal Stress formula is defined as the top fibers of the beam undergo a normal compressive stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo a normal tensile stress and is represented as σb = σxt or Bending Stress in Shaft = Normal Stress in Shaft-Tensile Stress in Shaft. Normal Stress in Shaft is the stress that occurs when a shaft is loaded by an axial force & 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 Bending Stress given Normal Stress?
The Bending Stress given Normal Stress formula is defined as the top fibers of the beam undergo a normal compressive stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo a normal tensile stress is calculated using Bending Stress in Shaft = Normal Stress in Shaft-Tensile Stress in Shaft. To calculate Bending Stress given Normal Stress, you need Normal Stress in Shaft x) & Tensile Stress in Shaft t). With our tool, you need to enter the respective value for Normal 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 Bending Stress in Shaft?
In this formula, Bending Stress in Shaft uses Normal Stress in Shaft & Tensile Stress in Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bending Stress in Shaft = (32*Bending Moment in Shaft)/(pi*Diameter of Shaft on Strength Basis^3)
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