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Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress Formula

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

y = \frac{τ \cdot I \cdot b}{V \cdot A}

y - Distance from Neutral Axis?τ - Shear Stress?I - Area Moment of Inertia?b - Breadth of Rectangular Section?V - Shear Force?A - Cross Sectional Area?

Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress Example

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Here is how the Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress equation looks like with Values.

Here is how the Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress equation looks like with Units.

Here is how the Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress equation looks like.

7.4849 = \frac{55 \cdot 3.6E+7 \cdot 300}{24.8 \cdot 3.2}

7.4849mm = \frac{55MPa \cdot 3.6E+7mm⁴ \cdot 300mm}{24.8kN \cdot 3.2m²}

7.4849 = \frac{55 \cdot 3.6E+7 \cdot 300}{24.8 \cdot 3.2}

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Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress Solution

Follow our step by step solution on how to calculate Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress?

FIRST Step Consider the formula

y = \frac{τ \cdot I \cdot b}{V \cdot A}

Next Step Substitute values of Variables

∴

y = \frac{55MPa \cdot 3.6E+7mm⁴ \cdot 300mm}{24.8kN \cdot 3.2m²}

Next Step Convert Units

∴

y = \frac{5.5E+7Pa \cdot 3.6E-5m⁴ \cdot 300mm}{24800N \cdot 3.2m²}

Next Step Prepare to Evaluate

∴

y = \frac{5.5E+7 \cdot 3.6E-5 \cdot 300}{24800 \cdot 3.2}

Next Step Evaluate

∴

y = 0.00748487903225806m

Next Step Convert to Output's Unit

∴

y = 7.48487903225806mm

LAST Step Rounding Answer

∴

y = 7.4849mm

Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear 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

Shear Stress

Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: τ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Area Moment of Inertia

Area Moment of Inertia is a moment about the centroidal axis without considering mass.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Breadth of Rectangular Section

The Breadth of Rectangular Section is the distance or measurement from side to side of the section.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of Rectangular Section

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: V

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Force

Cross Sectional Area

The cross sectional area is the breadth times the depth of the structure.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Other formulas in Longitudinal Shear Stress category

Go Area given Longitudinal Shear Stress

A = \frac{τ \cdot I \cdot b}{V \cdot y}

Go Breadth for given Longitudinal Shear Stress

b = \frac{V \cdot A \cdot y}{I \cdot τ}

Go Moment of Inertia given Longitudinal Shear Stress

I = \frac{V \cdot A \cdot y}{τ \cdot b}

How to Evaluate Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress?

Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress evaluator uses Distance from Neutral Axis = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Cross Sectional Area) to evaluate the Distance from Neutral Axis, The Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress is defined as the distance of extreme fiber of member when it is being subjected to shear stress in longitudinal direction. Distance from Neutral Axis is denoted by y symbol.

How to evaluate Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress using this online evaluator? To use this online evaluator for Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress, enter Shear Stress (τ), Area Moment of Inertia (I), Breadth of Rectangular Section (b), Shear Force (V) & Cross Sectional Area (A) and hit the calculate button.

FAQs on Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress

What is the formula to find Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress?

The formula of Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress is expressed as Distance from Neutral Axis = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Cross Sectional Area). Here is an example- 7484.879 = (55000000*3.6E-05*0.3)/(24800*3.2).

How to calculate Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress?

With Shear Stress (τ), Area Moment of Inertia (I), Breadth of Rectangular Section (b), Shear Force (V) & Cross Sectional Area (A) we can find Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress using the formula - Distance from Neutral Axis = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Cross Sectional Area).

Can the Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress be negative?

No, the Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress?

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

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Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress Formula

Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress Example

Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress Solution

Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress Formula Elements

Other formulas in Longitudinal Shear Stress category

How to Evaluate Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress?

FAQs on Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress

Variable Name