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Neutral 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

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

y - Distance from Neutral Axis?σ_max - Maximum Stress?A - Cross Sectional Area?I - Area Moment of Inertia?P - Axial Load?M_max - Maximum Bending Moment?

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

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Here is how the Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams equation looks like with Values.

Here is how the Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams equation looks like with Units.

Here is how the Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams equation looks like.

25 = \frac{(0.137 \cdot 0.12 \cdot 0.0016) - (2000 \cdot 0.0016)}{7.7 \cdot 0.12}

25mm = \frac{(0.137MPa \cdot 0.12m² \cdot 0.0016m⁴) - (2000N \cdot 0.0016m⁴)}{7.7kN*m \cdot 0.12m²}

25 = \frac{(0.137 \cdot 0.12 \cdot 0.0016) - (2000 \cdot 0.0016)}{7.7 \cdot 0.12}

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

Follow our step by step solution on how to calculate Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

y = \frac{(0.137MPa \cdot 0.12m² \cdot 0.0016m⁴) - (2000N \cdot 0.0016m⁴)}{7.7kN*m \cdot 0.12m²}

Next Step Convert Units

∴

y = \frac{(136979Pa \cdot 0.12m² \cdot 0.0016m⁴) - (2000N \cdot 0.0016m⁴)}{7700N*m \cdot 0.12m²}

Next Step Prepare to Evaluate

∴

y = \frac{(136979 \cdot 0.12 \cdot 0.0016) - (2000 \cdot 0.0016)}{7700 \cdot 0.12}

Next Step Evaluate

∴

y = 0.0249999653679654m

Next Step Convert to Output's Unit

∴

y = 24.9999653679654mm

LAST Step Rounding Answer

∴

y = 25mm

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

Maximum Stress

Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks.

Symbol: σ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Stress

Cross Sectional Area

The Cross Sectional Area is the breadth times the depth of the beam structure.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

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

Axial Load

Axial Load is a force applied on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Load

Maximum Bending Moment

Maximum Bending Moment occurs where shear force is zero.

Symbol: M_max

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Maximum Bending Moment

Other Formulas to find Distance from Neutral Axis

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

y = \frac{I \cdot σ b}{M r}

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

Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams evaluator uses 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) to evaluate the Distance from Neutral Axis, The Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams formula is defined as the length in between the neutral axis and the outermost fiber. Distance from Neutral Axis is denoted by y symbol.

How to evaluate Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams using this online evaluator? To use this online evaluator for Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams, enter Maximum Stress (σ_max), Cross Sectional Area (A), Area Moment of Inertia (I), Axial Load (P) & Maximum Bending Moment (M_max) and hit the calculate button.

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

What is the formula to find Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams?

The formula of Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams is expressed as 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). Here is an example- 0.025 = ((136979*0.12*0.0016)-(2000*0.0016))/(7700*0.12).

How to calculate Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams?

With Maximum Stress (σ_max), Cross Sectional Area (A), Area Moment of Inertia (I), Axial Load (P) & Maximum Bending Moment (M_max) we can find Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams using the formula - 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).

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

Can the Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams be negative?

No, the Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams, measured in Length cannot be negative.

Which unit is used to measure Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams?

Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams can be measured.

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Neutral 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

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

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

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

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

Other Formulas to find Distance from Neutral Axis

Other formulas in Combined Axial and Bending Loads category

How to Evaluate Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams?

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

Variable Name

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

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