FormulaDen.com

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

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

GoTransverse Shear given Average Longitudinal Shear Stress for Solid Circular Section Formula

Fx Copy

LaTeX Copy

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

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

V - Shear Force?τ_max - Maximum Shear Stress?r - Radius of Circular Section?π - Archimedes' constant?

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

With values

With units

Only example

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

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

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

4240.3443 = \frac{42 \cdot 3.1416 \cdot 207^{2} \cdot 3}{4}

4240.3443kN = \frac{42MPa \cdot 3.1416 \cdot {207mm}^{2} \cdot 3}{4}

4240.3443 = \frac{42 \cdot 3.1416 \cdot 207^{2} \cdot 3}{4}

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 Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{42MPa \cdot π \cdot {207mm}^{2} \cdot 3}{4}

Next Step Substitute values of Constants

∴

V = \frac{42MPa \cdot 3.1416 \cdot {207mm}^{2} \cdot 3}{4}

Next Step Convert Units

∴

V = \frac{4.2E+7Pa \cdot 3.1416 \cdot {0.207m}^{2} \cdot 3}{4}

Next Step Prepare to Evaluate

∴

V = \frac{4.2E+7 \cdot 3.1416 \cdot {0.207}^{2} \cdot 3}{4}

Next Step Evaluate

∴

V = 4240344.26383058N

Next Step Convert to Output's Unit

∴

V = 4240.34426383058kN

LAST Step Rounding Answer

∴

V = 4240.3443kN

Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section Formula Elements

Variables

Constants

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 Shear Stress

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

Symbol: τ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Shear Stress

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

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

Other Formulas to find Shear Force

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

V = q avg \cdot π \cdot r^{2}

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 Radius given Average Longitudinal Shear Stress for Solid Circular Section

r = \sqrt{\frac{V}{π \cdot q avg}}

Go Radius given Maximum Longitudinal Shear Stress for Solid Circular Section

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

Go Maximum Longitudinal Shear Stress for Solid Circular Section

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

How to Evaluate Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section?

Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section evaluator uses Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4 to evaluate the Shear Force, The Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as the shearing force that induced the stress. Shear Force is denoted by V symbol.

How to evaluate Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section using this online evaluator? To use this online evaluator for Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section, enter Maximum Shear Stress (τ_max) & Radius of Circular Section (r) and hit the calculate button.

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

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

The formula of Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section is expressed as Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4. Here is an example- 4.240344 = (42000000*pi*0.207^2*3)/4.

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

With Maximum Shear Stress (τ_max) & Radius of Circular Section (r) we can find Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section using the formula - Shear Force = (Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4. This formula also uses Archimedes' constant .

What are the other ways to Calculate Shear Force?

Here are the different ways to Calculate Shear Force-

Shear Force=Average Shear Stress*pi*Radius of Circular Section^2

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

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

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

Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

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

​GoTransverse Shear given Average Longitudinal Shear Stress for Solid Circular Section Formula

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

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

Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section Formula Elements

Other Formulas to find Shear Force

Other formulas in Longitudinal Shear Stress for Solid Circular Section category

How to Evaluate Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section?

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

Variable Name

GoTransverse Shear given Average Longitudinal Shear Stress for Solid Circular Section Formula