Young's Modulus of Beam using Moment of Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Young's Modulus of Beam = (Moment of Resistance*Radius of neutral layer)/MOI of Area of Circular Section
E = (Mresistance*R)/Icircular
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.
Moment of Resistance - (Measured in Newton Meter) - Moment of resistance is defined as the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.
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.
MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.
STEP 1: Convert Input(s) to Base Unit
Moment of Resistance: 7000 Newton Millimeter --> 7 Newton Meter (Check conversion here)
Radius of neutral layer: 2 Millimeter --> 0.002 Meter (Check conversion here)
MOI of Area of Circular Section: 1154 Millimeter⁴ --> 1.154E-09 Meter⁴ (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (Mresistance*R)/Icircular --> (7*0.002)/1.154E-09
Evaluating ... ...
E = 12131715.7712305
STEP 3: Convert Result to Output's Unit
12131715.7712305 Pascal -->12.1317157712305 Megapascal (Check conversion here)
FINAL ANSWER
12.1317157712305 12.13172 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 using Moment of Resistance Formula

Young's Modulus of Beam = (Moment of Resistance*Radius of neutral layer)/MOI of Area of Circular Section
E = (Mresistance*R)/Icircular

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 using Moment of Resistance?

Young's Modulus of Beam using Moment of Resistance calculator uses Young's Modulus of Beam = (Moment of Resistance*Radius of neutral layer)/MOI of Area of Circular Section to calculate the Young's Modulus of Beam, The Young's Modulus of Beam using Moment of Resistance formula 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 Moment of Resistance using this online calculator? To use this online calculator for Young's Modulus of Beam using Moment of Resistance, enter Moment of Resistance (Mresistance), Radius of neutral layer (R) & MOI of Area of Circular Section (Icircular) and hit the calculate button. Here is how the Young's Modulus of Beam using Moment of Resistance calculation can be explained with given input values -> 1.2E-5 = (7*0.002)/1.154E-09.

FAQ

What is Young's Modulus of Beam using Moment of Resistance?
The Young's Modulus of Beam using Moment of Resistance formula 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 = (Mresistance*R)/Icircular or Young's Modulus of Beam = (Moment of Resistance*Radius of neutral layer)/MOI of Area of Circular Section. Moment of resistance is defined as the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress, 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 & MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.
How to calculate Young's Modulus of Beam using Moment of Resistance?
The Young's Modulus of Beam using Moment of Resistance formula 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 = (Moment of Resistance*Radius of neutral layer)/MOI of Area of Circular Section. To calculate Young's Modulus of Beam using Moment of Resistance, you need Moment of Resistance (Mresistance), Radius of neutral layer (R) & MOI of Area of Circular Section (Icircular). With our tool, you need to enter the respective value for Moment of Resistance, Radius of neutral layer & MOI of Area of Circular Section 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 Moment of Resistance, Radius of neutral layer & MOI of Area of Circular Section. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Young's Modulus of Beam = (Stress in Layer*Radius of neutral layer)/Distance from neutral layer
  • Young's Modulus of Beam = (Force on layer*Radius of neutral layer)/(Distance from neutral layer*Area of Layer)
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