Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Longitudinal Shear Stress [τ_{maxlongitudinal}]			+10% -10%
✖Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.ⓘ Depth of Rectangular Section [d]			+10% -10%

✖The Breadth of Rectangular Section is the distance or measurement from side to side of the section.ⓘ Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section [b]

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Formula

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Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section

Formula

`"b" = (3*"V")/(2*"τ"_{"maxlongitudinal"}*"d")`

Example

`"0.330653mm"=(3*"24.8kN")/(2*"250.01MPa"*"450mm")`

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Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breadth of Rectangular Section = (3*Shear Force)/(2*Maximum Longitudinal Shear Stress*Depth of Rectangular Section)
b = (3*V)/(2*τ_{maxlongitudinal}*d)
This formula uses 4 Variables

Variables Used

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.
Maximum Longitudinal Shear Stress - (Measured in Pascal) - Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.
Depth of Rectangular Section - (Measured in Meter) - Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 24.8 Kilonewton --> 24800 Newton (Check conversion here)
Maximum Longitudinal Shear Stress: 250.01 Megapascal --> 250010000 Pascal (Check conversion here)
Depth of Rectangular Section: 450 Millimeter --> 0.45 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (3*V)/(2*τ_{maxlongitudinal}*d) --> (3*24800)/(2*250010000*0.45)

Evaluating ... ...

b = 0.000330653440529046

STEP 3: Convert Result to Output's Unit

0.000330653440529046 Meter -->0.330653440529045 Millimeter (Check conversion here)

FINAL ANSWER

0.330653440529045 ≈ 0.330653 Millimeter <-- Breadth of Rectangular Section

(Calculation completed in 00.020 seconds)

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< 7 Longitudinal Shear Stress for Rectangular Section Calculators

Transverse Shear given Maximum Longitudinal Shear Stress for Rectangular Section

Go Shear Force = (Maximum Longitudinal Shear Stress*Breadth of Rectangular Section*Depth of Rectangular Section*(2/3))

Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section

Go Breadth of Rectangular Section = (3*Shear Force)/(2*Maximum Longitudinal Shear Stress*Depth of Rectangular Section)

Maximum Longitudinal Shear Stress for Rectangular Section

Go Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section)

Breadth given Average Longitudinal Shear Stress for Rectangular Section

Go Breadth of Rectangular Section = Shear Force/(Average Shear Stress*Depth of Rectangular Section)

Depth given Average Longitudinal Shear Stress for Rectangular Section

Go Depth of Rectangular Section = Shear Force/(Average Shear Stress*Breadth of Rectangular Section)

Average Longitudinal Shear Stress for Rectangular Section

Go Average Shear Stress = Shear Force/(Breadth of Rectangular Section*Depth of Rectangular Section)

Transverse Shear given Average Longitudinal Shear Stress for Rectangular Section

Go Shear Force = Average Shear Stress*Breadth of Rectangular Section*Depth of Rectangular Section

Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section Formula

Breadth of Rectangular Section = (3*Shear Force)/(2*Maximum Longitudinal Shear Stress*Depth of Rectangular Section)
b = (3*V)/(2*τ_{maxlongitudinal}*d)

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 shear stress called the longitudinal (or horizontal) shear stress.

How to Calculate Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section?

Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section calculator uses Breadth of Rectangular Section = (3*Shear Force)/(2*Maximum Longitudinal Shear Stress*Depth of Rectangular Section) to calculate the Breadth of Rectangular Section, The Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section formula is defined as a horizontal measure of the cross-section about the neutral axis. Breadth of Rectangular Section is denoted by b symbol.

How to calculate Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section using this online calculator? To use this online calculator for Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section, enter Shear Force (V), Maximum Longitudinal Shear Stress (τ_{maxlongitudinal}) & Depth of Rectangular Section (d) and hit the calculate button. Here is how the Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section calculation can be explained with given input values -> 330.6534 = (3*24800)/(2*250010000*0.45).

FAQ

What is Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section?

The Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section formula is defined as a horizontal measure of the cross-section about the neutral axis and is represented as b = (3*V)/(2*τ_{maxlongitudinal}*d) or Breadth of Rectangular Section = (3*Shear Force)/(2*Maximum Longitudinal Shear Stress*Depth of Rectangular Section). Shear Force is the force which causes shear deformation to occur in the shear plane, Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area & Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.

How to calculate Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section?

The Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section formula is defined as a horizontal measure of the cross-section about the neutral axis is calculated using Breadth of Rectangular Section = (3*Shear Force)/(2*Maximum Longitudinal Shear Stress*Depth of Rectangular Section). To calculate Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section, you need Shear Force (V), Maximum Longitudinal Shear Stress (τ_{maxlongitudinal}) & Depth of Rectangular Section (d). With our tool, you need to enter the respective value for Shear Force, Maximum Longitudinal Shear Stress & Depth of Rectangular Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Breadth of Rectangular Section?

In this formula, Breadth of Rectangular Section uses Shear Force, Maximum Longitudinal Shear Stress & Depth of Rectangular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

Breadth of Rectangular Section = Shear Force/(Average Shear Stress*Depth of Rectangular Section)

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