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Diameter of the Shaft When Bending Stress is Given(Pure Bending) Solution

STEP 0: Pre-Calculation Summary
Formula Used
diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3)
d = (32*M/pi*𝛔b)^(1/3)
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)
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)
STEP 1: Convert Input(s) to Base Unit
Bending moment: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Bending Stress: 50 Newton per Square Meter --> 50 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (32*M/pi*𝛔b)^(1/3) --> (32*50/pi*50)^(1/3)
Evaluating ... ...
d = 29.4202734335627
STEP 3: Convert Result to Output's Unit
29.4202734335627 Meter -->2942.02734335627 Centimeter (Check conversion here)
FINAL ANSWER
2942.02734335627 Centimeter <-- Diameter of shaft
(Calculation completed in 00.008 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

Diameter of the Shaft When Bending Stress is Given(Pure Bending) Formula

diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3)
d = (32*M/pi*𝛔b)^(1/3)

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 Diameter of the Shaft When Bending Stress is Given(Pure Bending)?

Diameter of the Shaft When Bending Stress is Given(Pure Bending) calculator uses diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3) to calculate the Diameter of shaft, The Diameter of the Shaft When Bending Stress is Given(Pure Bending) formula is defined as the diameter of the shaft on which we gonna apply bending moment. Diameter of shaft and is denoted by d symbol.

How to calculate Diameter of the Shaft When Bending Stress is Given(Pure Bending) using this online calculator? To use this online calculator for Diameter of the Shaft When Bending Stress is Given(Pure Bending), enter Bending moment (M) and Bending Stress (𝛔b) and hit the calculate button. Here is how the Diameter of the Shaft When Bending Stress is Given(Pure Bending) calculation can be explained with given input values -> 2942.027 = (32*50/pi*50)^(1/3).

FAQ

What is Diameter of the Shaft When Bending Stress is Given(Pure Bending)?
The Diameter of the Shaft When Bending Stress is Given(Pure Bending) formula is defined as the diameter of the shaft on which we gonna apply bending moment and is represented as d = (32*M/pi*𝛔b)^(1/3) or diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3). 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 Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
How to calculate Diameter of the Shaft When Bending Stress is Given(Pure Bending)?
The Diameter of the Shaft When Bending Stress is Given(Pure Bending) formula is defined as the diameter of the shaft on which we gonna apply bending moment is calculated using diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3). To calculate Diameter of the Shaft When Bending Stress is Given(Pure Bending), you need Bending moment (M) and Bending Stress (𝛔b). With our tool, you need to enter the respective value for Bending moment and Bending Stress 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 Diameter of shaft?
In this formula, Diameter of shaft uses Bending moment and Bending Stress. 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 Diameter of the Shaft When Bending Stress is Given(Pure Bending) calculator used?
Among many, Diameter of the Shaft 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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