Area given Longitudinal Shear Stress Calculator

✖Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [τ]			+10% -10%
✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Area Moment of Inertia [I]			+10% -10%
✖The Breadth of Rectangular Section is the distance or measurement from side to side of the section.ⓘ Breadth of Rectangular Section [b]			+10% -10%
✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖Distance from Neutral Axis is measured between N.A. and the extreme point.ⓘ Distance from Neutral Axis [y]			+10% -10%

✖The cross sectional area is the breadth times the depth of the structure.ⓘ Area given Longitudinal Shear Stress [A]

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Formula

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Area given Longitudinal Shear Stress

Formula

`"A" = ("τ"*"I"*"b")/("V"*"y")`

Example

`"0.958065m²"=("55MPa"*"36000000mm⁴"*"300mm")/("24.8kN"*"25mm")`

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Area given Longitudinal Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Distance from Neutral Axis)
A = (τ*I*b)/(V*y)
This formula uses 6 Variables

Variables Used

Cross Sectional Area - (Measured in Square Meter) - The cross sectional area is the breadth times the depth of the structure.
Shear Stress - (Measured in Pascal) - Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.
Breadth of Rectangular Section - (Measured in Meter) - The Breadth of Rectangular Section is the distance or measurement from side to side of the section.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is measured between N.A. and the extreme point.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 55 Megapascal --> 55000000 Pascal (Check conversion here)
Area Moment of Inertia: 36000000 Millimeter⁴ --> 3.6E-05 Meter⁴ (Check conversion here)
Breadth of Rectangular Section: 300 Millimeter --> 0.3 Meter (Check conversion here)
Shear Force: 24.8 Kilonewton --> 24800 Newton (Check conversion here)
Distance from Neutral Axis: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (τ*I*b)/(V*y) --> (55000000*3.6E-05*0.3)/(24800*0.025)

Evaluating ... ...

A = 0.958064516129032

STEP 3: Convert Result to Output's Unit

0.958064516129032 Square Meter --> No Conversion Required

FINAL ANSWER

0.958064516129032 ≈ 0.958065 Square Meter <-- Cross Sectional Area

(Calculation completed in 00.020 seconds)

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< 4 Longitudinal Shear Stress Calculators

Breadth for given Longitudinal Shear Stress

Go Breadth of Rectangular Section = (Shear Force*Cross Sectional Area*Distance from Neutral Axis) /(Area Moment of Inertia*Shear Stress)

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

Go Distance from Neutral Axis = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Cross Sectional Area)

Moment of Inertia given Longitudinal Shear Stress

Go Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/(Shear Stress*Breadth of Rectangular Section)

Area given Longitudinal Shear Stress

Go Cross Sectional Area = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Distance from Neutral Axis)

Area given Longitudinal Shear Stress Formula

Cross Sectional Area = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Distance from Neutral Axis)
A = (τ*I*b)/(V*y)

What is Longitudinal Shear Stress?

The Longitudinal Shear Stress in a beam occurs along the longitudinal axis and is visualized by a slip in the layers of the beam. In addition to the transverse shear force, a longitudinal shear force also exists in the beam. This load produces a shear stress called the longitudinal (or horizontal) shear stress.

How to Calculate Area given Longitudinal Shear Stress?

Area given Longitudinal Shear Stress calculator uses Cross Sectional Area = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Distance from Neutral Axis) to calculate 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 calculate Area given Longitudinal Shear Stress using this online calculator? To use this online calculator 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. Here is how the Area given Longitudinal Shear Stress calculation can be explained with given input values -> 0.958065 = (55000000*3.6E-05*0.3)/(24800*0.025).

FAQ

What is Area given Longitudinal Shear Stress?

The Area given longitudinal shear stress is defined as the area of the cross-section which is undergoing the shear and is represented as A = (τ*I*b)/(V*y) or Cross Sectional Area = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Distance from Neutral Axis). Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Area Moment of Inertia is a moment about the centroidal axis without considering mass, The Breadth of Rectangular Section is the distance or measurement from side to side of the section, Shear Force is the force which causes shear deformation to occur in the shear plane & Distance from Neutral Axis is measured between N.A. and the extreme point.

How to calculate Area given Longitudinal Shear Stress?

The Area given longitudinal shear stress is defined as the area of the cross-section which is undergoing the shear is calculated using Cross Sectional Area = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Distance from Neutral Axis). To calculate Area given Longitudinal Shear Stress, you need Shear Stress (τ), Area Moment of Inertia (I), Breadth of Rectangular Section (b), Shear Force (V) & Distance from Neutral Axis (y). With our tool, you need to enter the respective value for Shear Stress, Area Moment of Inertia, Breadth of Rectangular Section, Shear Force & Distance from Neutral Axis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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