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

GoYoung's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = \frac{M r \cdot R curvature}{I}

E - Young's Modulus?M_r - Moment of Resistance?R_curvature - Radius of Curvature?I - Area Moment of Inertia?

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

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Here is how the Young's Modulus using Moment of Resistance, Moment of Inertia and Radius equation looks like with Values.

Here is how the Young's Modulus using Moment of Resistance, Moment of Inertia and Radius equation looks like with Units.

Here is how the Young's Modulus using Moment of Resistance, Moment of Inertia and Radius equation looks like.

0.4378 = \frac{4.608 \cdot 152}{0.0016}

0.4378MPa = \frac{4.608kN*m \cdot 152mm}{0.0016m⁴}

0.4378 = \frac{4.608 \cdot 152}{0.0016}

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

Follow our step by step solution on how to calculate Young's Modulus using Moment of Resistance, Moment of Inertia and Radius?

FIRST Step Consider the formula

E = \frac{M r \cdot R curvature}{I}

Next Step Substitute values of Variables

∴

E = \frac{4.608kN*m \cdot 152mm}{0.0016m⁴}

Next Step Convert Units

∴

E = \frac{4608N*m \cdot 0.152m}{0.0016m⁴}

Next Step Prepare to Evaluate

∴

E = \frac{4608 \cdot 0.152}{0.0016}

Next Step Evaluate

∴

E = 437760Pa

Next Step Convert to Output's Unit

∴

E = 0.43776MPa

LAST Step Rounding Answer

∴

E = 0.4378MPa

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

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Moment of Resistance

Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.

Symbol: M_r

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Moment of Resistance

Radius of Curvature

The Radius of Curvature is the reciprocal of the curvature.

Symbol: R_curvature

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Curvature

Area Moment of Inertia

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.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Other Formulas to find Young's Modulus

Go Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced

E = (\frac{R curvature \cdot σ y}{y})

Other formulas in Combined Axial and Bending Loads category

Go Maximum Stress for Short Beams

σ max = (\frac{P}{A}) + (\frac{M max \cdot y}{I})

Go Axial Load given Maximum Stress for Short Beams

P = A \cdot (σ max - (\frac{M max \cdot y}{I}))

Go Cross-Sectional Area given Maximum Stress for Short Beams

A = \frac{P}{σ max - (\frac{M max \cdot y}{I})}

Go Maximum Bending Moment given Maximum Stress for Short Beams

M max = \frac{(σ max - (\frac{P}{A})) \cdot I}{y}

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

Young's Modulus using Moment of Resistance, Moment of Inertia and Radius evaluator uses Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia to evaluate 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 evaluate Young's Modulus using Moment of Resistance, Moment of Inertia and Radius using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Young's Modulus using Moment of Resistance, Moment of Inertia and Radius?

The formula of Young's Modulus using Moment of Resistance, Moment of Inertia and Radius is expressed as Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia. Here is an example- 4.4E-7 = (4608*0.152)/0.0016.

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

With Moment of Resistance (M_r), Radius of Curvature (R_curvature) & Area Moment of Inertia (I) we can find Young's Modulus using Moment of Resistance, Moment of Inertia and Radius using the formula - Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia.

What are the other ways to Calculate Young's Modulus?

Here are the different ways to Calculate Young's Modulus-

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

Can the Young's Modulus using Moment of Resistance, Moment of Inertia and Radius be negative?

No, the Young's Modulus using Moment of Resistance, Moment of Inertia and Radius, measured in Stress cannot be negative.

Which unit is used to measure Young's Modulus using Moment of Resistance, Moment of Inertia and Radius?

Young's Modulus using Moment of Resistance, Moment of Inertia and Radius is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Young's Modulus using Moment of Resistance, Moment of Inertia and Radius can be measured.

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

​GoYoung's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced Formula

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

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

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

Other Formulas to find Young's Modulus

Other formulas in Combined Axial and Bending Loads category

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

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

Variable Name

GoYoung's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced Formula