Radius of Circular Section given Average 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%
✖Average Shear Stress on Beam is the force per unit area that acts parallel to the cross-section of a structural element, such as a beam.ⓘ Average Shear Stress on Beam [𝜏_avg]			+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 Average Shear Stress [r]

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Radius of Circular Section given Average Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circular Section = sqrt(Shear Force on Beam/(pi*Average Shear Stress on Beam))
r = sqrt(F_s/(pi*𝜏_avg))
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.
Average Shear Stress on Beam - (Measured in Pascal) - Average Shear Stress on Beam is the force per unit area that acts parallel to the cross-section of a structural element, such as a beam.

STEP 1: Convert Input(s) to Base Unit

Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
Average Shear Stress on Beam: 0.05 Megapascal --> 50000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(F_s/(pi*𝜏_avg)) --> sqrt(4800/(pi*50000))

Evaluating ... ...

r = 0.174807748894733

STEP 3: Convert Result to Output's Unit

0.174807748894733 Meter -->174.807748894733 Millimeter (Check conversion here)

FINAL ANSWER

174.807748894733 ≈ 174.8077 Millimeter <-- Radius of Circular Section

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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 Average Shear Stress Formula

LaTeX Go

Radius of Circular Section = sqrt(Shear Force on Beam/(pi*Average Shear Stress on Beam))
r = sqrt(F_s/(pi*𝜏_avg))

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 Average Shear Stress?

Radius of Circular Section given Average Shear Stress calculator uses Radius of Circular Section = sqrt(Shear Force on Beam/(pi*Average Shear Stress on Beam)) to calculate the Radius of Circular Section, The Radius of Circular Section given Average Shear Stress formula is defined as a measure of the radius of a circular section when the average shear stress and shear force are known, providing a crucial parameter in the design and analysis of circular sections under shear loading conditions. Radius of Circular Section is denoted by r symbol.

How to calculate Radius of Circular Section given Average Shear Stress using this online calculator? To use this online calculator for Radius of Circular Section given Average Shear Stress, enter Shear Force on Beam (F_s) & Average Shear Stress on Beam (𝜏_avg) and hit the calculate button. Here is how the Radius of Circular Section given Average Shear Stress calculation can be explained with given input values -> 174807.7 = sqrt(4800/(pi*50000)).

FAQ

What is Radius of Circular Section given Average Shear Stress?

The Radius of Circular Section given Average Shear Stress formula is defined as a measure of the radius of a circular section when the average shear stress and shear force are known, providing a crucial parameter in the design and analysis of circular sections under shear loading conditions and is represented as r = sqrt(F_s/(pi*𝜏_avg)) or Radius of Circular Section = sqrt(Shear Force on Beam/(pi*Average Shear Stress on Beam)). Shear Force on Beam is the force which causes shear deformation to occur in the shear plane & Average Shear Stress on Beam is the force per unit area that acts parallel to the cross-section of a structural element, such as a beam.

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

The Radius of Circular Section given Average Shear Stress formula is defined as a measure of the radius of a circular section when the average shear stress and shear force are known, providing a crucial parameter in the design and analysis of circular sections under shear loading conditions is calculated using Radius of Circular Section = sqrt(Shear Force on Beam/(pi*Average Shear Stress on Beam)). To calculate Radius of Circular Section given Average Shear Stress, you need Shear Force on Beam (F_s) & Average Shear Stress on Beam (𝜏_avg). With our tool, you need to enter the respective value for Shear Force on Beam & Average 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 & Average 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(4/3*Shear Force on Beam/(pi*Maximum Shear Stress on Beam))

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