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

✖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 [E]			+10% -10%
✖The Radius of Curvature is the reciprocal of the curvature.ⓘ Radius of Curvature [R_curvature]			+10% -10%

✖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 given Young's Modulus, Moment of Inertia and Radius [M_r]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
Radius of Curvature - (Measured in Meter) - The Radius of Curvature is the reciprocal of the curvature.

STEP 1: Convert Input(s) to Base Unit

Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Radius of Curvature: 152 Millimeter --> 0.152 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_r = (I*E)/R_curvature --> (0.0016*20000000000)/0.152

Evaluating ... ...

M_r = 210526315.789474

STEP 3: Convert Result to Output's Unit

210526315.789474 Newton Meter -->210526.315789474 Kilonewton Meter (Check conversion here)

FINAL ANSWER

210526.315789474 ≈ 210526.3 Kilonewton Meter <-- Moment of Resistance

(Calculation completed in 00.004 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)

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

LaTeX Go

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

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 Moment of Resistance given Young's Modulus, Moment of Inertia and Radius?

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius calculator uses Moment of Resistance = (Area Moment of Inertia*Young's Modulus)/Radius of Curvature to calculate the Moment of Resistance, The Moment of Resistance given Young's Modulus, Moment of Inertia and Radius formula is defined as resistance against moment offered when the beam is undergoing simple bending. Moment of Resistance is denoted by M_r symbol.

How to calculate Moment of Resistance given Young's Modulus, Moment of Inertia and Radius using this online calculator? To use this online calculator for Moment of Resistance given Young's Modulus, Moment of Inertia and Radius, enter Area Moment of Inertia (I), Young's Modulus (E) & Radius of Curvature (R_curvature) and hit the calculate button. Here is how the Moment of Resistance given Young's Modulus, Moment of Inertia and Radius calculation can be explained with given input values -> 210.5263 = (0.0016*20000000000)/0.152.

FAQ

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

The Moment of Resistance given Young's Modulus, Moment of Inertia and Radius formula is defined as resistance against moment offered when the beam is undergoing simple bending and is represented as M_r = (I*E)/R_curvature or Moment of Resistance = (Area Moment of Inertia*Young's Modulus)/Radius of 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, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & The Radius of Curvature is the reciprocal of the curvature.

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

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

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

Moment of Resistance = (Area Moment of Inertia*Bending Stress)/Distance from Neutral Axis

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