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Area given Longitudinal Shear Stress Formula

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

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

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

Area given Longitudinal Shear Stress Example

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Here is how the Area given Longitudinal Shear Stress equation looks like with Values.

Here is how the Area given Longitudinal Shear Stress equation looks like with Units.

Here is how the Area given Longitudinal Shear Stress equation looks like.

0.9581 = \frac{55 \cdot 3.6E+7 \cdot 300}{24.8 \cdot 25}

0.9581m² = \frac{55MPa \cdot 3.6E+7mm⁴ \cdot 300mm}{24.8kN \cdot 25mm}

0.9581 = \frac{55 \cdot 3.6E+7 \cdot 300}{24.8 \cdot 25}

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Area given Longitudinal Shear Stress Solution

Follow our step by step solution on how to calculate Area given Longitudinal Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{55MPa \cdot 3.6E+7mm⁴ \cdot 300mm}{24.8kN \cdot 25mm}

Next Step Convert Units

∴

A = \frac{5.5E+7Pa \cdot 3.6E-5m⁴ \cdot 0.3m}{24800N \cdot 0.025m}

Next Step Prepare to Evaluate

∴

A = \frac{5.5E+7 \cdot 3.6E-5 \cdot 0.3}{24800 \cdot 0.025}

Next Step Evaluate

∴

A = 0.958064516129032m²

LAST Step Rounding Answer

∴

A = 0.9581m²

Area given Longitudinal Shear Stress Formula Elements

Variables

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

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

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 in Longitudinal Shear Stress category

Go Breadth for given Longitudinal Shear Stress

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

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

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

Go Moment of Inertia given Longitudinal Shear Stress

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

How to Evaluate Area given Longitudinal Shear Stress?

Area given Longitudinal Shear Stress evaluator uses Cross Sectional Area = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Distance from Neutral Axis) to evaluate the Cross Sectional Area, The Area given longitudinal shear stress is defined as the area of the cross-section which is undergoing the shear. Cross Sectional Area is denoted by A symbol.

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

FAQs on Area given Longitudinal Shear Stress

What is the formula to find Area given Longitudinal Shear Stress?

The formula of Area given Longitudinal Shear Stress is expressed as Cross Sectional Area = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Distance from Neutral Axis). Here is an example- 0.958065 = (55000000*3.6E-05*0.3)/(24800*0.025).

How to calculate Area given Longitudinal Shear Stress?

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

Can the Area given Longitudinal Shear Stress be negative?

No, the Area given Longitudinal Shear Stress, measured in Area cannot be negative.

Which unit is used to measure Area given Longitudinal Shear Stress?

Area given Longitudinal Shear Stress is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area given Longitudinal Shear Stress can be measured.

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Area given Longitudinal Shear Stress Formula

Area given Longitudinal Shear Stress Example

Area given Longitudinal Shear Stress Solution

Area given Longitudinal Shear Stress Formula Elements

Other formulas in Longitudinal Shear Stress category

How to Evaluate Area given Longitudinal Shear Stress?

FAQs on Area given Longitudinal Shear Stress

Variable Name