Maximum Distance from Neutral Axis to Extreme Fiber 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%
✖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.ⓘ Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress [y]

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Formula

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

Formula

`"y" = ("τ"*"I"*"b")/("V"*"A")`

Example

`"7.484879mm"=("55MPa"*"36000000mm⁴"*"300mm")/("24.8kN"*"3.2m²")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Distance from Neutral Axis - (Measured in Millimeter) - 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.
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 Millimeter) - 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.
Cross Sectional Area - (Measured in Square Meter) - The cross sectional area is the breadth times the depth of the structure.

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 --> 300 Millimeter No Conversion Required
Shear Force: 24.8 Kilonewton --> 24800 Newton (Check conversion here)
Cross Sectional Area: 3.2 Square Meter --> 3.2 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = (τ*I*b)/(V*A) --> (55000000*3.6E-05*300)/(24800*3.2)

Evaluating ... ...

y = 7.48487903225806

STEP 3: Convert Result to Output's Unit

0.00748487903225806 Meter -->7.48487903225806 Millimeter (Check conversion here)

FINAL ANSWER

7.48487903225806 ≈ 7.484879 Millimeter <-- Distance from Neutral Axis

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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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)

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

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

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

Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress calculator uses Distance from Neutral Axis = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Cross Sectional Area) to calculate 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 calculate Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress using this online calculator? To use this online calculator 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. Here is how the Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress calculation can be explained with given input values -> 7484.879 = (55000000*3.6E-05*0.3)/(24800*3.2).

FAQ

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

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 and is represented as y = (τ*I*b)/(V*A) or Distance from Neutral Axis = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Cross Sectional Area). 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 & The cross sectional area is the breadth times the depth of the structure.

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

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 is calculated using Distance from Neutral Axis = (Shear Stress*Area Moment of Inertia*Breadth of Rectangular Section)/(Shear Force*Cross Sectional Area). To calculate Maximum Distance from Neutral Axis to Extreme Fiber given Longitudinal Shear Stress, you need Shear Stress (τ), Area Moment of Inertia (I), Breadth of Rectangular Section (b), Shear Force (V) & Cross Sectional Area (A). With our tool, you need to enter the respective value for Shear Stress, Area Moment of Inertia, Breadth of Rectangular Section, Shear Force & Cross Sectional Area 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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