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Breadth for given Longitudinal Shear Stress Formula

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

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

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

Breadth for given Longitudinal Shear Stress Example

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

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

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

1002.0202 = \frac{24.8 \cdot 3.2 \cdot 25}{3.6E+7 \cdot 55}

1002.0202mm = \frac{24.8kN \cdot 3.2m² \cdot 25mm}{3.6E+7mm⁴ \cdot 55MPa}

1002.0202 = \frac{24.8 \cdot 3.2 \cdot 25}{3.6E+7 \cdot 55}

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Breadth for given Longitudinal Shear Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = \frac{24.8kN \cdot 3.2m² \cdot 25mm}{3.6E+7mm⁴ \cdot 55MPa}

Next Step Convert Units

∴

b = \frac{24800N \cdot 3.2m² \cdot 25mm}{3.6E-5m⁴ \cdot 5.5E+7Pa}

Next Step Prepare to Evaluate

∴

b = \frac{24800 \cdot 3.2 \cdot 25}{3.6E-5 \cdot 5.5E+7}

Next Step Evaluate

∴

b = 1.0020202020202m

Next Step Convert to Output's Unit

∴

b = 1002.0202020202mm

LAST Step Rounding Answer

∴

b = 1002.0202mm

Breadth for given Longitudinal Shear Stress Formula Elements

Variables

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

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 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

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

Other formulas in Longitudinal Shear Stress category

Go Area given Longitudinal Shear Stress

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

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 Breadth for given Longitudinal Shear Stress?

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

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

FAQs on Breadth for given Longitudinal Shear Stress

What is the formula to find Breadth for given Longitudinal Shear Stress?

The formula of Breadth for given Longitudinal Shear Stress is expressed as Breadth of Rectangular Section = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/(Area Moment of Inertia*Shear Stress). Here is an example- 1E+6 = (24800*3.2*0.025)/(3.6E-05*55000000).

How to calculate Breadth for given Longitudinal Shear Stress?

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

Can the Breadth for given Longitudinal Shear Stress be negative?

No, the Breadth for given Longitudinal Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Breadth for given Longitudinal Shear Stress?

Breadth for 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 Breadth for given Longitudinal Shear Stress can be measured.

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Breadth for given Longitudinal Shear Stress Formula

Breadth for given Longitudinal Shear Stress Example

Breadth for given Longitudinal Shear Stress Solution

Breadth for given Longitudinal Shear Stress Formula Elements

Other formulas in Longitudinal Shear Stress category

How to Evaluate Breadth for given Longitudinal Shear Stress?

FAQs on Breadth for given Longitudinal Shear Stress

Variable Name