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Bending Moment When Bending Stress is Given(Pure Bending) Solution

STEP 0: Pre-Calculation Summary
Formula Used
bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32
M = (𝛔b*pi*d^3)/32
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Bending Stress - The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend (Measured in Newton per Square 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 Stress: 50 Newton per Square Meter --> 50 Pascal (Check conversion here)
Diameter of shaft: 10 Centimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = (𝛔b*pi*d^3)/32 --> (50*pi*0.1^3)/32
Evaluating ... ...
M = 0.00490873852123405
STEP 3: Convert Result to Output's Unit
0.00490873852123405 Newton Meter --> No Conversion Required
FINAL ANSWER
0.00490873852123405 Newton Meter <-- Bending moment
(Calculation completed in 00.016 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 Moment When Bending Stress is Given(Pure Bending) Formula

bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32
M = (𝛔b*pi*d^3)/32

Define Bending Moment?

In solid mechanics, a 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. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Bending Moment When Bending Stress is Given(Pure Bending)?

Bending Moment When Bending Stress is Given(Pure Bending) calculator uses bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32 to calculate the Bending moment, The Bending Moment When Bending Stress is Given(Pure Bending) formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending moment and is denoted by M symbol.

How to calculate Bending Moment When Bending Stress is Given(Pure Bending) using this online calculator? To use this online calculator for Bending Moment When Bending Stress is Given(Pure Bending), enter Bending Stress (𝛔b) and Diameter of shaft (d) and hit the calculate button. Here is how the Bending Moment When Bending Stress is Given(Pure Bending) calculation can be explained with given input values -> 0.004909 = (50*pi*0.1^3)/32.

FAQ

What is Bending Moment When Bending Stress is Given(Pure Bending)?
The Bending Moment When Bending Stress is Given(Pure Bending) formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as M = (𝛔b*pi*d^3)/32 or bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32. The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it 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 Moment When Bending Stress is Given(Pure Bending)?
The Bending Moment When Bending Stress is Given(Pure Bending) formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32. To calculate Bending Moment When Bending Stress is Given(Pure Bending), you need Bending Stress (𝛔b) and Diameter of shaft (d). With our tool, you need to enter the respective value for Bending Stress 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 moment?
In this formula, Bending moment uses Bending Stress 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 Moment When Bending Stress is Given(Pure Bending) calculator used?
Among many, Bending Moment When Bending Stress is Given(Pure Bending) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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