Young's Modulus of Beam Calculator

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Bending Stress In Beam

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Stress Variation

Section Modulus

Section Modulus for Various Beams or Shape Sections

✖Stress in layer is the force acting on the unit area of a material.ⓘ Stress in Layer [σ]			+10% -10%
✖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.ⓘ Radius of neutral layer [R]			+10% -10%
✖Distance from neutral layer is the distance of the considered layer from the neutral layer.ⓘ Distance from neutral layer [d_nl]			+10% -10%

✖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.ⓘ Young's Modulus of Beam [E]

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Formula

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Young's Modulus of Beam

Formula

`"E" = ("σ"*"R")/"d"_{"nl"}`

Example

`"3MPa"=("18MPa"*"2mm")/"12mm"`

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Young's Modulus of Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus of Beam = (Stress in Layer*Radius of neutral layer)/Distance from neutral layer
E = (σ*R)/d_nl
This formula uses 4 Variables

Variables Used

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.
Stress in Layer - (Measured in Pascal) - Stress in layer is the force acting on the unit area of a material.
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.
Distance from neutral layer - (Measured in Meter) - Distance from neutral layer is the distance of the considered layer from the neutral layer.

STEP 1: Convert Input(s) to Base Unit

Stress in Layer: 18 Megapascal --> 18000000 Pascal (Check conversion here)
Radius of neutral layer: 2 Millimeter --> 0.002 Meter (Check conversion here)
Distance from neutral layer: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ*R)/d_nl --> (18000000*0.002)/0.012

Evaluating ... ...

E = 3000000

STEP 3: Convert Result to Output's Unit

3000000 Pascal -->3 Megapascal (Check conversion here)

FINAL ANSWER

3 Megapascal <-- Young's Modulus of Beam

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 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

Young's Modulus of Beam Formula

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

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 Young's Modulus of Beam?

Young's Modulus of Beam calculator uses Young's Modulus of Beam = (Stress in Layer*Radius of neutral layer)/Distance from neutral layer to calculate the Young's Modulus of Beam, Young's Modulus of Beam is defined as a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression. Young's Modulus of Beam is denoted by E symbol.

How to calculate Young's Modulus of Beam using this online calculator? To use this online calculator for Young's Modulus of Beam, enter Stress in Layer (σ), Radius of neutral layer (R) & Distance from neutral layer (d_nl) and hit the calculate button. Here is how the Young's Modulus of Beam calculation can be explained with given input values -> 3E-6 = (18000000*0.002)/0.012.

FAQ

What is Young's Modulus of Beam?

Young's Modulus of Beam is defined as a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression and is represented as E = (σ*R)/d_nl or Young's Modulus of Beam = (Stress in Layer*Radius of neutral layer)/Distance from neutral layer. Stress in layer is the force acting on the unit area of a material, 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 & Distance from neutral layer is the distance of the considered layer from the neutral layer.

How to calculate Young's Modulus of Beam?

Young's Modulus of Beam is defined as a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression is calculated using Young's Modulus of Beam = (Stress in Layer*Radius of neutral layer)/Distance from neutral layer. To calculate Young's Modulus of Beam, you need Stress in Layer (σ), Radius of neutral layer (R) & Distance from neutral layer (d_nl). With our tool, you need to enter the respective value for Stress in Layer, Radius of neutral layer & Distance from 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 Young's Modulus of Beam?

In this formula, Young's Modulus of Beam uses Stress in Layer, Radius of neutral layer & Distance from neutral layer. We can use 2 other way(s) to calculate the same, which is/are as follows -

Young's Modulus of Beam = (Force on layer*Radius of neutral layer)/(Distance from neutral layer*Area of Layer)
Young's Modulus of Beam = (Moment of Resistance*Radius of neutral layer)/MOI of Area of Circular Section

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