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Sardar Patel College of Engineering (SPCE), Mumbai
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Indian Institute of Technology Kharagpur (IIT KGP), Kharagpur
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Euler bending stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
bending_stress = Bending moment*Distance from the Neutral axis/Area moment of Inertia
𝛔b = Mb*y/I
This formula uses 3 Variables
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)
Distance from the Neutral axis - The Distance from the Neutral axis is defined as the distance from an axis in the cross section of a beam or shaft along which there are no longitudinal stresses or strains. (Measured in Millimeter)
Area moment of Inertia - Area moment of inertia is defined as moment about centroidal axis without considering mass. (Measured in Millimeter⁴)
STEP 1: Convert Input(s) to Base Unit
Bending moment: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Distance from the Neutral axis: 50 Millimeter --> 0.05 Meter (Check conversion here)
Area moment of Inertia: 100000000 Millimeter⁴ --> 0.0001 Meter⁴ (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛔b = Mb*y/I --> 50*0.05/0.0001
Evaluating ... ...
𝛔b = 25000
STEP 3: Convert Result to Output's Unit
25000 Pascal -->25000 Newton per Square Meter (Check conversion here)
FINAL ANSWER
25000 Newton per Square Meter <-- Bending Stress
(Calculation completed in 00.016 seconds)

5 SOM Calculators

Load in terms of brinell hardness number
load = (Brinell Hardness Number*pi*Steel ball diameter*(Steel ball diameter-sqrt(Steel ball diameter^2-Depression diameter^2)))/2 Go
Euler bending stress
bending_stress = Bending moment*Distance from the Neutral axis/Area moment of Inertia Go
Polar moi of circle
polar_moi_circ = pi*Diameter of Circle^4/32 Go
Simple strain
strain = Change In Length/Length Go
Simple Stress
stress = Force/Area Go

Euler bending stress Formula

bending_stress = Bending moment*Distance from the Neutral axis/Area moment of Inertia
𝛔b = Mb*y/I

How to Calculate Euler bending stress?

Euler bending stress calculator uses bending_stress = Bending moment*Distance from the Neutral axis/Area moment of Inertia to calculate the Bending Stress, The Euler bending stress formula is defined as the normal stress experienced in beam subjected to bending moment. Bending Stress is denoted by 𝛔b symbol.

How to calculate Euler bending stress using this online calculator? To use this online calculator for Euler bending stress, enter Bending moment (Mb), Distance from the Neutral axis (y) & Area moment of Inertia (I) and hit the calculate button. Here is how the Euler bending stress calculation can be explained with given input values -> 25000 = 50*0.05/0.0001.

FAQ

What is Euler bending stress?
The Euler bending stress formula is defined as the normal stress experienced in beam subjected to bending moment and is represented as 𝛔b = Mb*y/I or bending_stress = Bending moment*Distance from the Neutral axis/Area moment of Inertia. 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, The Distance from the Neutral axis is defined as the distance from an axis in the cross section of a beam or shaft along which there are no longitudinal stresses or strains & Area moment of inertia is defined as moment about centroidal axis without considering mass.
How to calculate Euler bending stress?
The Euler bending stress formula is defined as the normal stress experienced in beam subjected to bending moment is calculated using bending_stress = Bending moment*Distance from the Neutral axis/Area moment of Inertia. To calculate Euler bending stress, you need Bending moment (Mb), Distance from the Neutral axis (y) & Area moment of Inertia (I). With our tool, you need to enter the respective value for Bending moment, Distance from the Neutral axis & Area moment of Inertia 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, Distance from the Neutral axis & Area moment of Inertia. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • bending_stress = Bending moment*Distance from the Neutral axis/Area moment of Inertia
  • stress = Force/Area
  • strain = Change In Length/Length
  • polar_moi_circ = pi*Diameter of Circle^4/32
  • load = (Brinell Hardness Number*pi*Steel ball diameter*(Steel ball diameter-sqrt(Steel ball diameter^2-Depression diameter^2)))/2
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