Stress in Layer Considering that Beam is Subjected to Simple Bending Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stress in Layer = (Young's Modulus of Beam*Distance from neutral layer)/Radius of neutral layer
σ = (E*dnl)/R
This formula uses 4 Variables
Variables Used
Stress in Layer - (Measured in Pascal) - Stress in layer is the force acting on the unit area of a material.
Young's Modulus of Beam - (Measured in Pascal) - Young's modulus of beam is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.
Distance from neutral layer - (Measured in Meter) - Distance from neutral layer is the distance of the considered layer from the neutral layer.
Radius of neutral layer - (Measured in Meter) - The radius of neutral layer is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
STEP 1: Convert Input(s) to Base Unit
Young's Modulus of Beam: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Distance from neutral layer: 12 Millimeter --> 0.012 Meter (Check conversion here)
Radius of neutral layer: 2 Millimeter --> 0.002 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = (E*dnl)/R --> (14000000*0.012)/0.002
Evaluating ... ...
σ = 84000000
STEP 3: Convert Result to Output's Unit
84000000 Pascal -->84 Megapascal (Check conversion here)
FINAL ANSWER
84 Megapascal <-- Stress in Layer
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
Dipto Mandal has verified this Calculator and 400+ more calculators!

18 Stress Variation Calculators

Distance between Neutral and Considered Layer in Beam
Go Distance from neutral layer = (Stress in Layer*Radius of neutral layer)/(Young's Modulus of Beam*Area of Layer)
Force on Layer at Distance from Neutral Layer of Beam
Go Force on layer = ((Young's Modulus of Beam*Distance from neutral layer*Area of Layer)/Radius of neutral layer)
Young's Modulus of Beam given Force on Layer
Go Young's Modulus of Beam = (Force on layer*Radius of neutral layer)/(Distance from neutral layer*Area of Layer)
Radius of Neutral Layer given Force on Considered Layer
Go Radius of neutral layer = (Young's Modulus of Beam*Distance from neutral layer*Area of Layer)/Force on layer
Moment of Inertia of Area of Section given Young's Modulus of Beam
Go MOI of Area of Circular Section = (Moment of Resistance*Radius of neutral layer)/Young's Modulus of Beam
Young's Modulus of Beam using Moment of Resistance
Go Young's Modulus of Beam = (Moment of Resistance*Radius of neutral layer)/MOI of Area of Circular Section
Radius of Neutral Axis using Moment of Resistance
Go Radius of neutral layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance
Moment of Resistance
Go Moment of Resistance = (Young's Modulus of Beam*MOI of Area of Circular Section)/Radius of neutral layer
Distance between Neutral and Considered Layer using Moment of Resistance
Go Distance from neutral layer = (Stress in Layer*MOI of Area of Circular Section)/Moment of Resistance
Moment of Inertia of Area of Section of Beam given Stress in Layer
Go MOI of Area of Circular Section = (Moment of Resistance*Distance from neutral layer)/Stress in Layer
Moment of Resistance using Stress in Layer of Beam
Go Moment of Resistance = (Stress in Layer*MOI of Area of Circular Section)/Distance from neutral layer
Stress in Layer of Beam given Moment of Resistance
Go Stress in Layer = (Moment of Resistance*Distance from neutral layer)/MOI of Area of Circular Section
Stress in Layer Considering that Beam is Subjected to Simple Bending
Go Stress in Layer = (Young's Modulus of Beam*Distance from neutral layer)/Radius of neutral layer
Distance between Neutral and Considered Layers in Beams
Go Distance from neutral layer = (Stress in Layer*Radius of neutral layer)/Young's Modulus of Beam
Young's Modulus of Beam
Go Young's Modulus of Beam = (Stress in Layer*Radius of neutral layer)/Distance from neutral layer
Radius of Neutral Layer
Go Radius of neutral layer = (Young's Modulus of Beam*Distance from neutral layer)/Stress in Layer
Force on Layer of Beams given Stress in Layer
Go Force on layer = Stress in Layer*Area of Layer
Stress in Layer of Beam given Force on Layer
Go Stress in Layer = Force on layer/Area of Layer

Stress in Layer Considering that Beam is Subjected to Simple Bending Formula

Stress in Layer = (Young's Modulus of Beam*Distance from neutral layer)/Radius of neutral layer
σ = (E*dnl)/R

What is meant by bending stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate Stress in Layer Considering that Beam is Subjected to Simple Bending?

Stress in Layer Considering that Beam is Subjected to Simple Bending calculator uses Stress in Layer = (Young's Modulus of Beam*Distance from neutral layer)/Radius of neutral layer to calculate the Stress in Layer, Stress in Layer Considering that Beam is Subjected to Simple Bending is defined as the force acting on the unit area of a material. Stress in Layer is denoted by σ symbol.

How to calculate Stress in Layer Considering that Beam is Subjected to Simple Bending using this online calculator? To use this online calculator for Stress in Layer Considering that Beam is Subjected to Simple Bending, enter Young's Modulus of Beam (E), Distance from neutral layer (dnl) & Radius of neutral layer (R) and hit the calculate button. Here is how the Stress in Layer Considering that Beam is Subjected to Simple Bending calculation can be explained with given input values -> 8.4E-5 = (14000000*0.012)/0.002.

FAQ

What is Stress in Layer Considering that Beam is Subjected to Simple Bending?
Stress in Layer Considering that Beam is Subjected to Simple Bending is defined as the force acting on the unit area of a material and is represented as σ = (E*dnl)/R or Stress in Layer = (Young's Modulus of Beam*Distance from neutral layer)/Radius of neutral layer. Young's modulus of beam is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression, Distance from neutral layer is the distance of the considered layer from the neutral layer & The radius of neutral layer is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
How to calculate Stress in Layer Considering that Beam is Subjected to Simple Bending?
Stress in Layer Considering that Beam is Subjected to Simple Bending is defined as the force acting on the unit area of a material is calculated using Stress in Layer = (Young's Modulus of Beam*Distance from neutral layer)/Radius of neutral layer. To calculate Stress in Layer Considering that Beam is Subjected to Simple Bending, you need Young's Modulus of Beam (E), Distance from neutral layer (dnl) & Radius of neutral layer (R). With our tool, you need to enter the respective value for Young's Modulus of Beam, Distance from neutral layer & Radius of neutral layer 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 Stress in Layer?
In this formula, Stress in Layer uses Young's Modulus of Beam, Distance from neutral layer & Radius of neutral layer. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Stress in Layer = (Moment of Resistance*Distance from neutral layer)/MOI of Area of Circular Section
  • Stress in Layer = Force on layer/Area of Layer
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!