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

GoYoung's Modulus using Moment of Resistance, Moment of Inertia and Radius 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{R curvature \cdot σ y}{y})

E - Young's Modulus?R_curvature - Radius of Curvature?σ_y - Fibre Stress at Distance ‘y’ from NA?y - Distance from Neutral Axis?

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

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Here is how the Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced equation looks like with Values.

Here is how the Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced equation looks like with Units.

Here is how the Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced equation looks like.

20000.0019 = (\frac{152 \cdot 3289.474}{25})

20000.0019MPa = (\frac{152mm \cdot 3289.474MPa}{25mm})

20000.0019 = (\frac{152 \cdot 3289.474}{25})

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

Follow our step by step solution on how to calculate Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced?

FIRST Step Consider the formula

E = (\frac{R curvature \cdot σ y}{y})

Next Step Substitute values of Variables

∴

E = (\frac{152mm \cdot 3289.474MPa}{25mm})

Next Step Convert Units

∴

E = (\frac{0.152m \cdot 3.3E+9Pa}{0.025m})

Next Step Prepare to Evaluate

∴

E = (\frac{0.152 \cdot 3.3E+9}{0.025})

Next Step Evaluate

∴

E = 20000001920Pa

Next Step Convert to Output's Unit

∴

E = 20000.00192MPa

LAST Step Rounding Answer

∴

E = 20000.0019MPa

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

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

Fibre Stress at Distance ‘y’ from NA

Fibre Stress at Distance ‘y’ from NA is denoted by σ.

Symbol: σ_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Fibre Stress at Distance ‘y’ from NA

Distance from Neutral Axis

Distance from Neutral Axis is measured between N.A. and the extreme point.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Axis

Other Formulas to find Young's Modulus

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

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

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 given Distance from Extreme Fiber along with Radius and Stress Induced?

Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced evaluator uses Young's Modulus = ((Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Distance from Neutral Axis) to evaluate the Young's Modulus, The Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced 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 given Distance from Extreme Fiber along with Radius and Stress Induced using this online evaluator? To use this online evaluator for Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced, enter Radius of Curvature (R_curvature), Fibre Stress at Distance ‘y’ from NA (σ_y) & Distance from Neutral Axis (y) and hit the calculate button.

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

What is the formula to find Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced?

The formula of Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced is expressed as Young's Modulus = ((Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Distance from Neutral Axis). Here is an example- 0.02 = ((0.152*3289474000)/0.025).

How to calculate Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced?

With Radius of Curvature (R_curvature), Fibre Stress at Distance ‘y’ from NA (σ_y) & Distance from Neutral Axis (y) we can find Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced using the formula - Young's Modulus = ((Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Distance from Neutral Axis).

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

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

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

Can the Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced be negative?

No, the Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced, measured in Stress cannot be negative.

Which unit is used to measure Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced?

Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced 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 given Distance from Extreme Fiber along with Radius and Stress Induced can be measured.

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

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

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

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

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

Other Formulas to find Young's Modulus

Other formulas in Combined Axial and Bending Loads category

How to Evaluate Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced?

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

Variable Name

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