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

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

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

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

y = \frac{I \cdot σ b}{M r}

y - Distance from Neutral Axis?I - Area Moment of Inertia?σ_b - Bending Stress?M_r - Moment of Resistance?

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

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Here is how the Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress equation looks like with Values.

Here is how the Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress equation looks like with Units.

Here is how the Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress equation looks like.

25 = \frac{0.0016 \cdot 0.072}{4.608}

25mm = \frac{0.0016m⁴ \cdot 0.072MPa}{4.608kN*m}

25 = \frac{0.0016 \cdot 0.072}{4.608}

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

Follow our step by step solution on how to calculate Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress?

FIRST Step Consider the formula

y = \frac{I \cdot σ b}{M r}

Next Step Substitute values of Variables

∴

y = \frac{0.0016m⁴ \cdot 0.072MPa}{4.608kN*m}

Next Step Convert Units

∴

y = \frac{0.0016m⁴ \cdot 72000Pa}{4608N*m}

Next Step Prepare to Evaluate

∴

y = \frac{0.0016 \cdot 72000}{4608}

Next Step Evaluate

∴

y = 0.025m

LAST Step Convert to Output's Unit

∴

y = 25mm

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

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

Bending Stress

Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress

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

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 Young's Modulus along with Radius and Stress Induced

y = \frac{R curvature \cdot σ y}{E}

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 Moment of Resistance and Moment of Inertia along with Stress?

Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress evaluator uses Distance from Neutral Axis = (Area Moment of Inertia*Bending Stress)/Moment of Resistance to evaluate the Distance from Neutral Axis, The Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress 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 Moment of Resistance and Moment of Inertia along with Stress using this online evaluator? To use this online evaluator for Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress, enter Area Moment of Inertia (I), Bending Stress (σ_b) & Moment of Resistance (M_r) and hit the calculate button.

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

What is the formula to find Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress?

The formula of Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress is expressed as Distance from Neutral Axis = (Area Moment of Inertia*Bending Stress)/Moment of Resistance. Here is an example- 0.025 = (0.0016*72000)/4608.

How to calculate Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress?

With Area Moment of Inertia (I), Bending Stress (σ_b) & Moment of Resistance (M_r) we can find Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress using the formula - Distance from Neutral Axis = (Area Moment of Inertia*Bending Stress)/Moment of Resistance.

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

Can the Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress be negative?

No, the Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress, measured in Length cannot be negative.

Which unit is used to measure Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress?

Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress 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 Moment of Resistance and Moment of Inertia along with Stress can be measured.

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

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

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

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

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

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

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

Variable Name

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

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