Maximum Longitudinal Shear Stress for Solid Circular Section Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.ⓘ Radius of Circular Section [r]			+10% -10%

✖Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Longitudinal Shear Stress for Solid Circular Section [τ_{maxlongitudinal}]

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Maximum Longitudinal Shear Stress for Solid Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Longitudinal Shear Stress = (4*Shear Force)/(3*pi*Radius of Circular Section^2)
τ_{maxlongitudinal} = (4*V)/(3*pi*r^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Longitudinal Shear Stress - (Measured in Megapascal) - Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.
Shear Force - (Measured in Kilonewton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Radius of Circular Section - (Measured in Meter) - Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 24.8 Kilonewton --> 24.8 Kilonewton No Conversion Required
Radius of Circular Section: 207 Millimeter --> 0.207 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_{maxlongitudinal} = (4*V)/(3*pi*r^2) --> (4*24.8)/(3*pi*0.207^2)

Evaluating ... ...

τ_{maxlongitudinal} = 245.640432755584

STEP 3: Convert Result to Output's Unit

245640432.755584 Pascal -->245.640432755584 Megapascal (Check conversion here)

FINAL ANSWER

245.640432755584 ≈ 245.6404 Megapascal <-- Maximum Longitudinal Shear Stress

(Calculation completed in 00.020 seconds)

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< Longitudinal Shear Stress for Solid Circular Section Calculators

Radius given Maximum Longitudinal Shear Stress for Solid Circular Section

LaTeX Go Radius of Circular Section = sqrt((4*Shear Force)/(3*pi*Maximum Longitudinal Shear Stress))

Radius given Average Longitudinal Shear Stress for Solid Circular Section

LaTeX Go Radius of Circular Section = sqrt(Shear Force/(pi*Average Shear Stress))

Average Longitudinal Shear Stress for Solid Circular Section

LaTeX Go Average Shear Stress = Shear Force/(pi*Radius of Circular Section^2)

Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section

LaTeX Go Shear Force = Average Shear Stress*pi*Radius of Circular Section^2

Maximum Longitudinal Shear Stress for Solid Circular Section Formula

LaTeX Go

Maximum Longitudinal Shear Stress = (4*Shear Force)/(3*pi*Radius of Circular Section^2)
τ_{maxlongitudinal} = (4*V)/(3*pi*r^2)

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 Maximum Longitudinal Shear Stress for Solid Circular Section?

Maximum Longitudinal Shear Stress for Solid Circular Section calculator uses Maximum Longitudinal Shear Stress = (4*Shear Force)/(3*pi*Radius of Circular Section^2) to calculate the Maximum Longitudinal Shear Stress, The Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as maximum of all calculated longitudinal shear stresses. Maximum Longitudinal Shear Stress is denoted by τ_{maxlongitudinal} symbol.

How to calculate Maximum Longitudinal Shear Stress for Solid Circular Section using this online calculator? To use this online calculator for Maximum Longitudinal Shear Stress for Solid Circular Section, enter Shear Force (V) & Radius of Circular Section (r) and hit the calculate button. Here is how the Maximum Longitudinal Shear Stress for Solid Circular Section calculation can be explained with given input values -> 0.000246 = (4*24800)/(3*pi*0.207^2).

FAQ

What is Maximum Longitudinal Shear Stress for Solid Circular Section?

The Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as maximum of all calculated longitudinal shear stresses and is represented as τ_{maxlongitudinal} = (4*V)/(3*pi*r^2) or Maximum Longitudinal Shear Stress = (4*Shear Force)/(3*pi*Radius of Circular Section^2). Shear Force is the force which causes shear deformation to occur in the shear plane & Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.

How to calculate Maximum Longitudinal Shear Stress for Solid Circular Section?

The Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as maximum of all calculated longitudinal shear stresses is calculated using Maximum Longitudinal Shear Stress = (4*Shear Force)/(3*pi*Radius of Circular Section^2). To calculate Maximum Longitudinal Shear Stress for Solid Circular Section, you need Shear Force (V) & Radius of Circular Section (r). With our tool, you need to enter the respective value for Shear Force & Radius of Circular 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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