Young's Modulus using Moment of Resistance, Moment of Inertia and Radius Calculator

✖Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.ⓘ Moment of Resistance [M_r]			+10% -10%
✖The Radius of Curvature is the reciprocal of the curvature.ⓘ Radius of Curvature [R_curvature]			+10% -10%
✖Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.ⓘ Area Moment of Inertia [I]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus using Moment of Resistance, Moment of Inertia and Radius [E]

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Young's Modulus using Moment of Resistance, Moment of Inertia and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia
E = (M_r*R_curvature)/I
This formula uses 4 Variables

Variables Used

Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Moment of Resistance - (Measured in Newton Meter) - Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.
Radius of Curvature - (Measured in Meter) - The Radius of Curvature is the reciprocal of the curvature.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.

STEP 1: Convert Input(s) to Base Unit

Moment of Resistance: 4.608 Kilonewton Meter --> 4608 Newton Meter (Check conversion here)
Radius of Curvature: 152 Millimeter --> 0.152 Meter (Check conversion here)
Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (M_r*R_curvature)/I --> (4608*0.152)/0.0016

Evaluating ... ...

E = 437760

STEP 3: Convert Result to Output's Unit

437760 Pascal -->0.43776 Megapascal (Check conversion here)

FINAL ANSWER

0.43776 Megapascal <-- Young's Modulus

(Calculation completed in 00.020 seconds)

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< Combined Axial and Bending Loads Calculators

Maximum Bending Moment given Maximum Stress for Short Beams

LaTeX Go Maximum Bending Moment = ((Maximum Stress-(Axial Load/Cross Sectional Area))*Area Moment of Inertia)/Distance from Neutral Axis

Cross-Sectional Area given Maximum Stress for Short Beams

LaTeX Go Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))

Axial Load given Maximum Stress for Short Beams

LaTeX Go Axial Load = Cross Sectional Area*(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))

Maximum Stress for Short Beams

LaTeX Go Maximum Stress = (Axial Load/Cross Sectional Area)+((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)

Young's Modulus using Moment of Resistance, Moment of Inertia and Radius Formula

LaTeX Go

Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia
E = (M_r*R_curvature)/I

What is Simple Bending?

The Bending will be called as simple bending when it occurs because of beam self-load and external load. This type of bending is also known as ordinary bending and in this type of bending results both shear stress and normal stress in the beam.

How to Calculate Young's Modulus using Moment of Resistance, Moment of Inertia and Radius?

Young's Modulus using Moment of Resistance, Moment of Inertia and Radius calculator uses Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia to calculate the Young's Modulus, The Young's Modulus using Moment of Resistance, Moment of Inertia and Radius formula is defined as the modulus of elasticity of the material when the beam is undergoing simple bending. Young's Modulus is denoted by E symbol.

How to calculate Young's Modulus using Moment of Resistance, Moment of Inertia and Radius using this online calculator? To use this online calculator for Young's Modulus using Moment of Resistance, Moment of Inertia and Radius, enter Moment of Resistance (M_r), Radius of Curvature (R_curvature) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Young's Modulus using Moment of Resistance, Moment of Inertia and Radius calculation can be explained with given input values -> 4.4E-7 = (4608*0.152)/0.0016.

FAQ

What is Young's Modulus using Moment of Resistance, Moment of Inertia and Radius?

The Young's Modulus using Moment of Resistance, Moment of Inertia and Radius formula is defined as the modulus of elasticity of the material when the beam is undergoing simple bending and is represented as E = (M_r*R_curvature)/I or Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia. Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress, The Radius of Curvature is the reciprocal of the curvature & Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.

How to calculate Young's Modulus using Moment of Resistance, Moment of Inertia and Radius?

The Young's Modulus using Moment of Resistance, Moment of Inertia and Radius formula is defined as the modulus of elasticity of the material when the beam is undergoing simple bending is calculated using Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia. To calculate Young's Modulus using Moment of Resistance, Moment of Inertia and Radius, you need Moment of Resistance (M_r), Radius of Curvature (R_curvature) & Area Moment of Inertia (I). With our tool, you need to enter the respective value for Moment of Resistance, Radius of Curvature & 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 Young's Modulus?

In this formula, Young's Modulus uses Moment of Resistance, Radius of Curvature & Area Moment of Inertia. We can use 1 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = ((Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Distance from Neutral Axis)

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