Radius of Circular Section given Maximum Shear Stress Calculator

✖Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force on Beam [F_s]			+10% -10%
✖Maximum Shear Stress on Beam is the highest value of shear stress that occurs at any point within the beam when subjected to external loading, such as transverse forces.ⓘ Maximum Shear Stress on Beam [𝜏_max]			+10% -10%

✖Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.ⓘ Radius of Circular Section given Maximum Shear Stress [r]

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Radius of Circular Section given Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circular Section = sqrt(4/3*Shear Force on Beam/(pi*Maximum Shear Stress on Beam))
r = sqrt(4/3*F_s/(pi*𝜏_max))
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 Meter) - Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
Maximum Shear Stress on Beam - (Measured in Pascal) - Maximum Shear Stress on Beam is the highest value of shear stress that occurs at any point within the beam when subjected to external loading, such as transverse forces.

STEP 1: Convert Input(s) to Base Unit

Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
Maximum Shear Stress on Beam: 11 Megapascal --> 11000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(4/3*F_s/(pi*𝜏_max)) --> sqrt(4/3*4800/(pi*11000000))

Evaluating ... ...

r = 0.0136087647945802

STEP 3: Convert Result to Output's Unit

0.0136087647945802 Meter -->13.6087647945802 Millimeter (Check conversion here)

FINAL ANSWER

13.6087647945802 ≈ 13.60876 Millimeter <-- Radius of Circular Section

(Calculation completed in 00.020 seconds)

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< Radius of Circular Section Calculators

Radius of Circular Section given Maximum Shear Stress

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

Radius of Circular Section given Average Shear Stress

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

Radius of Circular Section given Width of Beam at Considered Level

LaTeX Go Radius of Circular Section = sqrt((Width of Beam Section/2)^2+Distance from Neutral Axis^2)

Width of Beam at Considered Level given Radius of Circular Section

LaTeX Go Width of Beam Section = 2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2)

Radius of Circular Section given Maximum Shear Stress Formula

LaTeX Go

Radius of Circular Section = sqrt(4/3*Shear Force on Beam/(pi*Maximum Shear Stress on Beam))
r = sqrt(4/3*F_s/(pi*𝜏_max))

What is Shear Stress and Strain?

When a force acts parallel to the surface of an object, it exerts a shear stress. Let's consider a rod under uniaxial tension. The rod elongates under this tension to a new length, and the normal strain is a ratio of this small deformation to the rod's original length.

How to Calculate Radius of Circular Section given Maximum Shear Stress?

Radius of Circular Section given Maximum Shear Stress calculator uses Radius of Circular Section = sqrt(4/3*Shear Force on Beam/(pi*Maximum Shear Stress on Beam)) to calculate the Radius of Circular Section, The Radius of Circular Section given Maximum Shear Stress formula is defined as a measure of the radius of a circular section that can withstand a maximum shear stress, providing a critical value for structural integrity in engineering design and analysis. Radius of Circular Section is denoted by r symbol.

How to calculate Radius of Circular Section given Maximum Shear Stress using this online calculator? To use this online calculator for Radius of Circular Section given Maximum Shear Stress, enter Shear Force on Beam (F_s) & Maximum Shear Stress on Beam (𝜏_max) and hit the calculate button. Here is how the Radius of Circular Section given Maximum Shear Stress calculation can be explained with given input values -> 13608.76 = sqrt(4/3*4800/(pi*11000000)).

FAQ

What is Radius of Circular Section given Maximum Shear Stress?

The Radius of Circular Section given Maximum Shear Stress formula is defined as a measure of the radius of a circular section that can withstand a maximum shear stress, providing a critical value for structural integrity in engineering design and analysis and is represented as r = sqrt(4/3*F_s/(pi*𝜏_max)) or Radius of Circular Section = sqrt(4/3*Shear Force on Beam/(pi*Maximum Shear Stress on Beam)). Shear Force on Beam is the force which causes shear deformation to occur in the shear plane & Maximum Shear Stress on Beam is the highest value of shear stress that occurs at any point within the beam when subjected to external loading, such as transverse forces.

How to calculate Radius of Circular Section given Maximum Shear Stress?

The Radius of Circular Section given Maximum Shear Stress formula is defined as a measure of the radius of a circular section that can withstand a maximum shear stress, providing a critical value for structural integrity in engineering design and analysis is calculated using Radius of Circular Section = sqrt(4/3*Shear Force on Beam/(pi*Maximum Shear Stress on Beam)). To calculate Radius of Circular Section given Maximum Shear Stress, you need Shear Force on Beam (F_s) & Maximum Shear Stress on Beam (𝜏_max). With our tool, you need to enter the respective value for Shear Force on Beam & Maximum Shear Stress on Beam 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 on Beam & Maximum Shear Stress on Beam. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radius of Circular Section = sqrt((Width of Beam Section/2)^2+Distance from Neutral Axis^2)
Radius of Circular Section = sqrt(Shear Force on Beam/(pi*Average Shear Stress on Beam))

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