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Bending Stress in the Shaft (Pure Bending Moment) Solution

STEP 0: Pre-Calculation Summary
Formula Used
bending_stress = 32*Bending moment/pi*Diameter of shaft^3
𝛔b = 32*M/pi*d^3
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Bending moment - The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. (Measured in Newton Meter)
Diameter of shaft - The Diameter of shaft is defined as the diameter of the hole in the iron laminations that contains the shaft. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Bending moment: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Diameter of shaft: 10 Centimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛔b = 32*M/pi*d^3 --> 32*50/pi*0.1^3
Evaluating ... ...
𝛔b = 0.509295817894065
STEP 3: Convert Result to Output's Unit
0.509295817894065 Pascal -->0.509295817894065 Newton per Square Meter (Check conversion here)
FINAL ANSWER
0.509295817894065 Newton per Square Meter <-- Bending Stress
(Calculation completed in 00.010 seconds)

10+ Desgin of Shafts Calculators

Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion)
diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3) Go
Torsional Moment When Torsional Shear Stress in a Shaft is Given(Pure Torsion)
torsional_moment = Torsional Shear Stress*pi*(Diameter of shaft^3)/16 Go
Torsional Shear Stress in a Shaft(Pure Torsion)
torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3) Go
Diameter of the Shaft When Bending Stress is Given(Pure Bending)
diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3) Go
Bending Moment When Bending Stress is Given(Pure Bending)
bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32 Go
Bending Stress in the Shaft (Pure Bending Moment)
bending_stress = 32*Bending moment/pi*Diameter of shaft^3 Go
Tensile Stress in the Shaft When It is Subjected to Axial Tensile Force
tensile_stress = 4*Axial Force/pi*Diameter of shaft Go
Diameter of Shaft When Tensile Stress in the Shaft is Given
diameter_of_shaft = 4*Axial Force/pi*Tensile Stress Go
Axial Force When Tensile Stress in the Shaft is Given
axial_force = Tensile Stress*pi*Diameter of shaft/4 Go
Normal Stress When Both Bending and Torsional act on the Shaft
normal_stress = Bending Stress+Tensile Stress Go

Bending Stress in the Shaft (Pure Bending Moment) Formula

bending_stress = 32*Bending moment/pi*Diameter of shaft^3
𝛔b = 32*M/pi*d^3

Define Bending Stress?

Bending stress is a more specific type of normal stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo a normal tensile stress. It can be concluded therefore that the value of the bending stress will vary linearly with distance from the neutral axis.

How to Calculate Bending Stress in the Shaft (Pure Bending Moment)?

Bending Stress in the Shaft (Pure Bending Moment) calculator uses bending_stress = 32*Bending moment/pi*Diameter of shaft^3 to calculate the Bending Stress, The Bending Stress in the Shaft (Pure Bending Moment) formula is defined as the compression or tension force acting in a member. If the axial force acts through the centroid of the member it is called concentric loading. Bending Stress and is denoted by 𝛔b symbol.

How to calculate Bending Stress in the Shaft (Pure Bending Moment) using this online calculator? To use this online calculator for Bending Stress in the Shaft (Pure Bending Moment), enter Bending moment (M) and Diameter of shaft (d) and hit the calculate button. Here is how the Bending Stress in the Shaft (Pure Bending Moment) calculation can be explained with given input values -> 0.509296 = 32*50/pi*0.1^3.

FAQ

What is Bending Stress in the Shaft (Pure Bending Moment)?
The Bending Stress in the Shaft (Pure Bending Moment) formula is defined as the compression or tension force acting in a member. If the axial force acts through the centroid of the member it is called concentric loading and is represented as 𝛔b = 32*M/pi*d^3 or bending_stress = 32*Bending moment/pi*Diameter of shaft^3. The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and The Diameter of shaft is defined as the diameter of the hole in the iron laminations that contains the shaft.
How to calculate Bending Stress in the Shaft (Pure Bending Moment)?
The Bending Stress in the Shaft (Pure Bending Moment) formula is defined as the compression or tension force acting in a member. If the axial force acts through the centroid of the member it is called concentric loading is calculated using bending_stress = 32*Bending moment/pi*Diameter of shaft^3. To calculate Bending Stress in the Shaft (Pure Bending Moment), you need Bending moment (M) and Diameter of shaft (d). With our tool, you need to enter the respective value for Bending moment and Diameter of 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 this formula, Bending Stress uses Bending moment and Diameter of shaft. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • tensile_stress = 4*Axial Force/pi*Diameter of shaft
  • diameter_of_shaft = 4*Axial Force/pi*Tensile Stress
  • axial_force = Tensile Stress*pi*Diameter of shaft/4
  • bending_stress = 32*Bending moment/pi*Diameter of shaft^3
  • bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32
  • diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3)
  • torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3)
  • torsional_moment = Torsional Shear Stress*pi*(Diameter of shaft^3)/16
  • diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3)
  • normal_stress = Bending Stress+Tensile Stress
Where is the Bending Stress in the Shaft (Pure Bending Moment) calculator used?
Among many, Bending Stress in the Shaft (Pure Bending Moment) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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