Moment of Inertia given Longitudinal Shear Stress Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖The cross sectional area is the breadth times the depth of the structure.ⓘ Cross Sectional Area [A]			+10% -10%
✖Distance from Neutral Axis is measured between N.A. and the extreme point.ⓘ Distance from Neutral Axis [y]			+10% -10%
✖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%
✖The Breadth of Rectangular Section is the distance or measurement from side to side of the section.ⓘ Breadth of Rectangular Section [b]			+10% -10%

✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Moment of Inertia given Longitudinal Shear Stress [I]

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Moment of Inertia given Longitudinal Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Area Moment of Inertia - (Measured in Millimeter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Cross Sectional Area - (Measured in Square Meter) - The cross sectional area is the breadth times the depth of the structure.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is measured between N.A. and the extreme point.
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.
Breadth of Rectangular Section - (Measured in Meter) - The Breadth of Rectangular Section is the distance or measurement from side to side of the section.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 24.8 Kilonewton --> 24800 Newton (Check conversion here)
Cross Sectional Area: 3.2 Square Meter --> 3.2 Square Meter No Conversion Required
Distance from Neutral Axis: 25 Millimeter --> 0.025 Meter (Check conversion here)
Shear Stress: 55 Megapascal --> 55000000 Pascal (Check conversion here)
Breadth of Rectangular Section: 300 Millimeter --> 0.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (V*A*y)/(τ*b) --> (24800*3.2*0.025)/(55000000*0.3)

Evaluating ... ...

I = 0.000120242424242424

STEP 3: Convert Result to Output's Unit

1.20242424242424E-16 Meter⁴ -->0.000120242424242424 Millimeter⁴ (Check conversion here)

FINAL ANSWER

0.000120242424242424 ≈ 0.00012 Millimeter⁴ <-- Area Moment of Inertia

(Calculation completed in 00.004 seconds)

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< Longitudinal Shear Stress Calculators

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

LaTeX 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

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

Breadth for given Longitudinal Shear Stress

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

Area given Longitudinal Shear Stress

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

Moment of Inertia given Longitudinal Shear Stress Formula

LaTeX Go

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

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 Moment of Inertia given Longitudinal Shear Stress?

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

How to calculate Moment of Inertia given Longitudinal Shear Stress using this online calculator? To use this online calculator for Moment of Inertia given Longitudinal Shear Stress, enter Shear Force (V), Cross Sectional Area (A), Distance from Neutral Axis (y), Shear Stress (τ) & Breadth of Rectangular Section (b) and hit the calculate button. Here is how the Moment of Inertia given Longitudinal Shear Stress calculation can be explained with given input values -> 0.00012 = (24800*3.2*0.025)/(55000000*0.3).

FAQ

What is Moment of Inertia given Longitudinal Shear Stress?

The Moment of Inertia given Longitudinal Shear Stress is defined as the moment of inertia of the cross-section which is undergoing the shear and is represented as I = (V*A*y)/(τ*b) or Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/(Shear Stress*Breadth of Rectangular Section). Shear Force is the force which causes shear deformation to occur in the shear plane, The cross sectional area is the breadth times the depth of the structure, Distance from Neutral Axis is measured between N.A. and the extreme point, Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & The Breadth of Rectangular Section is the distance or measurement from side to side of the section.

How to calculate Moment of Inertia given Longitudinal Shear Stress?

The Moment of Inertia given Longitudinal Shear Stress is defined as the moment of inertia of the cross-section which is undergoing the shear is calculated using Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/(Shear Stress*Breadth of Rectangular Section). To calculate Moment of Inertia given Longitudinal Shear Stress, you need Shear Force (V), Cross Sectional Area (A), Distance from Neutral Axis (y), Shear Stress (τ) & Breadth of Rectangular Section (b). With our tool, you need to enter the respective value for Shear Force, Cross Sectional Area, Distance from Neutral Axis, Shear Stress & Breadth of Rectangular Section 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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