FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radius given Maximum Longitudinal Shear Stress for Solid Circular Section Formula

GoRadius given Average Longitudinal Shear Stress for Solid Circular Section Formula

Fx Copy

LaTeX Copy

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

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

r - Radius of Circular Section?V - Shear Force?τ_{maxlongitudinal} - Maximum Longitudinal Shear Stress?π - Archimedes' constant?

Radius given Maximum Longitudinal Shear Stress for Solid Circular Section Example

With values

With units

Only example

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

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

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

0.0065 = \sqrt{\frac{4 \cdot 24.8}{3 \cdot 3.1416 \cdot 250.01}}

0.0065mm = \sqrt{\frac{4 \cdot 24.8kN}{3 \cdot 3.1416 \cdot 250.01MPa}}

0.0065 = \sqrt{\frac{4 \cdot 24.8}{3 \cdot 3.1416 \cdot 250.01}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Radius given Maximum Longitudinal Shear Stress for Solid Circular Section

Radius given Maximum Longitudinal Shear Stress for Solid Circular Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{4 \cdot 24.8kN}{3 \cdot π \cdot 250.01MPa}}

Next Step Substitute values of Constants

∴

r = \sqrt{\frac{4 \cdot 24.8kN}{3 \cdot 3.1416 \cdot 250.01MPa}}

Next Step Convert Units

∴

r = \sqrt{\frac{4 \cdot 24800N}{3 \cdot 3.1416 \cdot 2.5E+8Pa}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{4 \cdot 24800}{3 \cdot 3.1416 \cdot 2.5E+8}}

Next Step Evaluate

∴

r = 6.48845926306328E-06m

Next Step Convert to Output's Unit

∴

r = 0.00648845926306328mm

LAST Step Rounding Answer

∴

r = 0.0065mm

Radius given Maximum 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

Maximum Longitudinal Shear Stress

Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.

Symbol: τ_{maxlongitudinal}

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Longitudinal 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 Average Longitudinal Shear Stress for Solid Circular Section

r = \sqrt{\frac{V}{π \cdot q avg}}

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 Maximum Longitudinal Shear Stress for Solid Circular Section?

Radius given Maximum Longitudinal Shear Stress for Solid Circular Section evaluator uses Radius of Circular Section = sqrt((4*Shear Force)/(3*pi*Maximum Longitudinal Shear Stress)) to evaluate 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 evaluate Radius given Maximum Longitudinal Shear Stress for Solid Circular Section using this online evaluator? To use this online evaluator 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.

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

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

The formula of Radius given Maximum Longitudinal Shear Stress for Solid Circular Section is expressed as Radius of Circular Section = sqrt((4*Shear Force)/(3*pi*Maximum Longitudinal Shear Stress)). Here is an example- 6.488459 = sqrt((4*24800)/(3*pi*250010000)).

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

With Shear Force (V) & Maximum Longitudinal Shear Stress (τ_{maxlongitudinal}) we can find Radius given Maximum Longitudinal Shear Stress for Solid Circular Section using the formula - Radius of Circular Section = sqrt((4*Shear Force)/(3*pi*Maximum Longitudinal Shear Stress)). This formula also uses Archimedes' constant and Square Root (sqrt) 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(Shear Force/(pi*Average Shear Stress))

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

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

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

Radius given Maximum 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 Maximum Longitudinal Shear Stress for Solid Circular Section can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!