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 = (Mr*Rcurvature)/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 = (Mr*Rcurvature)/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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19 Combined Axial and Bending Loads Calculators

Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams
Go Distance from Neutral Axis = ((Maximum Stress*Cross Sectional Area*Area Moment of Inertia)-(Axial Load*Area Moment of Inertia))/(Maximum Bending Moment*Cross Sectional Area)
Maximum Stress in Short Beams for Large Deflection
Go Maximum Stress = (Axial Load/Cross Sectional Area)+(((Maximum Bending Moment+Axial Load*Deflection of Beam)*Distance from Neutral Axis)/Area Moment of Inertia)
Neutral Axis Moment of Inertia given Maximum Stress for Short Beams
Go Area Moment of Inertia = (Maximum Bending Moment*Cross Sectional Area*Distance from Neutral Axis)/((Maximum Stress*Cross Sectional Area)-(Axial Load))
Axial Load given Maximum Stress for Short Beams
Go Axial Load = Cross Sectional Area*(Maximum Stress -((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))
Maximum Bending Moment given Maximum Stress for Short Beams
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
Go Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))
Maximum Stress for Short Beams
Go Maximum Stress = (Axial Load/Cross Sectional Area)+((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)
Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced
Go Young's Modulus = ((Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Distance from Neutral Axis)
Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature
Go Fibre Stress at Distance ‘y’ from NA = (Young's Modulus*Distance from Neutral Axis)/Radius of Curvature
Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced
Go Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus
Deflection for Transverse Loading given Deflection for Axial Bending
Go Deflection for Transverse Loading Alone = Deflection of Beam*(1-(Axial Load/Critical Buckling Load))
Deflection for Axial Compression and Bending
Go Deflection of Beam = Deflection for Transverse Loading Alone/(1-(Axial Load/Critical Buckling Load))
Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress
Go Distance from Neutral Axis = (Area Moment of Inertia*Bending Stress)/Moment of Resistance
Moment of Inertia given Moment of Resistance, Stress induced and Distance from Extreme Fiber
Go Area Moment of Inertia = (Distance from Neutral Axis*Moment of Resistance)/Bending Stress
Stress Induced using Moment of Resistance, Moment of Inertia and Distance from Extreme Fiber
Go Bending Stress = (Distance from Neutral Axis*Moment of Resistance)/Area Moment of Inertia
Moment of Resistance in Bending Equation
Go Moment of Resistance = (Area Moment of Inertia*Bending Stress)/Distance from Neutral Axis
Young's Modulus using Moment of Resistance, Moment of Inertia and Radius
Go Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia
Moment of Resistance given Young's Modulus, Moment of Inertia and Radius
Go Moment of Resistance = (Area Moment of Inertia*Young's Modulus)/Radius of Curvature
Moment of Inertia given Young's Modulus, Moment of Resistance and Radius
Go Area Moment of Inertia = (Moment of Resistance*Radius of Curvature)/Young's Modulus

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

Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia
E = (Mr*Rcurvature)/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 (Mr), Radius of Curvature (Rcurvature) & 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 = (Mr*Rcurvature)/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 (Mr), Radius of Curvature (Rcurvature) & 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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