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Radius given Average Longitudinal Shear Stress for Solid Circular Section Formula

GoRadius given Maximum Longitudinal Shear Stress for Solid Circular Section Formula

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Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere. Check FAQs

r = \sqrt{\frac{V}{π \cdot q avg}}

r - Radius of Circular Section?V - Shear Force?q_avg - Average Shear Stress?π - Archimedes' constant?

Radius given Average Longitudinal Shear Stress for Solid Circular Section Example

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Here is how the Radius given Average Longitudinal Shear Stress for Solid Circular Section equation looks like with Values.

Here is how the Radius given Average Longitudinal Shear Stress for Solid Circular Section equation looks like with Units.

Here is how the Radius given Average Longitudinal Shear Stress for Solid Circular Section equation looks like.

207.2986 = \sqrt{\frac{24.8}{3.1416 \cdot 0.1837}}

207.2986mm = \sqrt{\frac{24.8kN}{3.1416 \cdot 0.1837MPa}}

207.2986 = \sqrt{\frac{24.8}{3.1416 \cdot 0.1837}}

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Radius given Average Longitudinal Shear Stress for Solid Circular Section Solution

Follow our step by step solution on how to calculate Radius given Average Longitudinal Shear Stress for Solid Circular Section?

FIRST Step Consider the formula

r = \sqrt{\frac{V}{π \cdot q avg}}

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{24.8kN}{π \cdot 0.1837MPa}}

Next Step Substitute values of Constants

∴

r = \sqrt{\frac{24.8kN}{3.1416 \cdot 0.1837MPa}}

Next Step Convert Units

∴

r = \sqrt{\frac{24800N}{3.1416 \cdot 183700Pa}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{24800}{3.1416 \cdot 183700}}

Next Step Evaluate

∴

r = 0.207298579396756m

Next Step Convert to Output's Unit

∴

r = 207.298579396756mm

LAST Step Rounding Answer

∴

r = 207.2986mm

Radius given Average Longitudinal Shear Stress for Solid Circular Section Formula Elements

Variables

Constants

Functions

Radius of Circular Section

Radius of Circular Section is a straight line from the centre to the circumference of a circle or sphere.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Circular Section

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: V

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Force

Average Shear Stress

Average Shear Stress on a beam is the shear load divided by the area.

Symbol: q_avg

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Average Shear Stress

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Radius of Circular Section

Go Radius given Maximum Longitudinal Shear Stress for Solid Circular Section

r = \sqrt{\frac{4 \cdot V}{3 \cdot π \cdot τ maxlongitudinal}}

Other formulas in Longitudinal Shear Stress for Solid Circular Section category

Go Average Longitudinal Shear Stress for Solid Circular Section

q avg = \frac{V}{π \cdot r^{2}}

Go Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section

V = q avg \cdot π \cdot r^{2}

Go Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section

V = \frac{τ max \cdot π \cdot r^{2} \cdot 3}{4}

Go Maximum Longitudinal Shear Stress for Solid Circular Section

τ maxlongitudinal = \frac{4 \cdot V}{3 \cdot π \cdot r^{2}}

How to Evaluate Radius given Average Longitudinal Shear Stress for Solid Circular Section?

Radius given Average Longitudinal Shear Stress for Solid Circular Section evaluator uses Radius of Circular Section = sqrt(Shear Force/(pi*Average Shear Stress)) to evaluate the Radius of Circular Section, The Radius given Average 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 evaluate Radius given Average Longitudinal Shear Stress for Solid Circular Section using this online evaluator? To use this online evaluator for Radius given Average Longitudinal Shear Stress for Solid Circular Section, enter Shear Force (V) & Average Shear Stress (q_avg) and hit the calculate button.

FAQs on Radius given Average Longitudinal Shear Stress for Solid Circular Section

What is the formula to find Radius given Average Longitudinal Shear Stress for Solid Circular Section?

The formula of Radius given Average Longitudinal Shear Stress for Solid Circular Section is expressed as Radius of Circular Section = sqrt(Shear Force/(pi*Average Shear Stress)). Here is an example- 0.207299 = sqrt(24800/(pi*183700)).

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

With Shear Force (V) & Average Shear Stress (q_avg) we can find Radius given Average Longitudinal Shear Stress for Solid Circular Section using the formula - Radius of Circular Section = sqrt(Shear Force/(pi*Average Shear Stress)). This formula also uses Archimedes' constant and Square Root Function function(s).

What are the other ways to Calculate Radius of Circular Section?

Here are the different ways to Calculate Radius of Circular Section-

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

Can the Radius given Average Longitudinal Shear Stress for Solid Circular Section be negative?

No, the Radius given Average Longitudinal Shear Stress for Solid Circular Section, measured in Length cannot be negative.

Which unit is used to measure Radius given Average Longitudinal Shear Stress for Solid Circular Section?

Radius given Average Longitudinal Shear Stress for Solid Circular Section is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius given Average Longitudinal Shear Stress for Solid Circular Section can be measured.

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