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

GoNeutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams Formula

GoDistance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress Formula

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

y = \frac{R curvature \cdot σ y}{E}

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

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

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

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

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

25 = \frac{152 \cdot 3289.474}{20000}

25mm = \frac{152mm \cdot 3289.474MPa}{20000MPa}

25 = \frac{152 \cdot 3289.474}{20000}

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

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

FIRST Step Consider the formula

y = \frac{R curvature \cdot σ y}{E}

Next Step Substitute values of Variables

∴

y = \frac{152mm \cdot 3289.474MPa}{20000MPa}

Next Step Convert Units

∴

y = \frac{0.152m \cdot 3289.474MPa}{20000MPa}

Next Step Prepare to Evaluate

∴

y = \frac{0.152 \cdot 3289.474}{20000}

Next Step Evaluate

∴

y = 0.0250000024m

Next Step Convert to Output's Unit

∴

y = 25.0000024mm

LAST Step Rounding Answer

∴

y = 25mm

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

Variables

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

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

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

Other Formulas to find Distance from Neutral Axis

Go Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams

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

Go Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress

y = \frac{I \cdot σ b}{M r}

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

Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced evaluator uses Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus to evaluate the Distance from Neutral Axis, The Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced formula is defined as the distance of the extreme fiber from the neutral axis when the beam is undergoing simple bending. Distance from Neutral Axis is denoted by y symbol.

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

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

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

The formula of Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced is expressed as Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus. Here is an example- 0.025 = (0.152*3289474000)/20000000000.

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

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

What are the other ways to Calculate Distance from Neutral Axis?

Here are the different ways to Calculate Distance from Neutral Axis-

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

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

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

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

Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced can be measured.

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

​GoNeutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams Formula

​GoDistance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress Formula

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

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

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

Other Formulas to find Distance from Neutral Axis

Other formulas in Combined Axial and Bending Loads category

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

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

Variable Name

GoNeutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams Formula

GoDistance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress Formula