Radius given 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%
✖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%

✖Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.ⓘ Radius given Maximum Longitudinal Shear Stress for Solid Circular Section [r]

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Radius given Maximum Longitudinal Shear Stress for Solid Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Radius of Circular Section - (Measured in Millimeter) - Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.
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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt((4*V)/(3*pi*τ_{maxlongitudinal})) --> sqrt((4*24800)/(3*pi*250010000))

Evaluating ... ...

r = 0.00648845926306328

STEP 3: Convert Result to Output's Unit

6.48845926306328E-06 Meter -->0.00648845926306328 Millimeter (Check conversion here)

FINAL ANSWER

0.00648845926306328 ≈ 0.006488 Millimeter <-- Radius of Circular Section

(Calculation completed in 00.004 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

Radius given Maximum Longitudinal Shear Stress for Solid Circular Section Formula

LaTeX Go

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

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 Radius given Maximum Longitudinal Shear Stress for Solid Circular Section?

Radius given Maximum Longitudinal Shear Stress for Solid Circular Section calculator uses Radius of Circular Section = sqrt((4*Shear Force)/(3*pi*Maximum Longitudinal Shear Stress)) to calculate the Radius of Circular Section, The Radius given Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as radius of cross-section undergoing shearing. Radius of Circular Section is denoted by r symbol.

How to calculate Radius given Maximum Longitudinal Shear Stress for Solid Circular Section using this online calculator? To use this online calculator for Radius given Maximum Longitudinal Shear Stress for Solid Circular Section, enter Shear Force (V) & Maximum Longitudinal Shear Stress (τ_{maxlongitudinal}) and hit the calculate button. Here is how the Radius given Maximum Longitudinal Shear Stress for Solid Circular Section calculation can be explained with given input values -> 6.488459 = sqrt((4*24800)/(3*pi*250010000)).

FAQ

What is Radius given Maximum Longitudinal Shear Stress for Solid Circular Section?

The Radius given Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as radius of cross-section undergoing shearing and is represented as r = sqrt((4*V)/(3*pi*τ_{maxlongitudinal})) or Radius of Circular Section = sqrt((4*Shear Force)/(3*pi*Maximum Longitudinal Shear Stress)). 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.

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

The Radius given Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as radius of cross-section undergoing shearing is calculated using Radius of Circular Section = sqrt((4*Shear Force)/(3*pi*Maximum Longitudinal Shear Stress)). To calculate Radius given Maximum Longitudinal Shear Stress for Solid Circular Section, you need Shear Force (V) & Maximum Longitudinal Shear Stress (τ_{maxlongitudinal}). With our tool, you need to enter the respective value for Shear Force & Maximum Longitudinal Shear Stress 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 Radius of Circular Section?

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

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

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