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

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

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

V = q avg \cdot π \cdot r^{2}

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

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

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

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

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

24.7286 = 0.1837 \cdot 3.1416 \cdot 207^{2}

24.7286kN = 0.1837MPa \cdot 3.1416 \cdot {207mm}^{2}

24.7286 = 0.1837 \cdot 3.1416 \cdot 207^{2}

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

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

FIRST Step Consider the formula

V = q avg \cdot π \cdot r^{2}

Next Step Substitute values of Variables

∴

V = 0.1837MPa \cdot π \cdot {207mm}^{2}

Next Step Substitute values of Constants

∴

V = 0.1837MPa \cdot 3.1416 \cdot {207mm}^{2}

Next Step Convert Units

∴

V = 183700Pa \cdot 3.1416 \cdot {0.207m}^{2}

Next Step Prepare to Evaluate

∴

V = 183700 \cdot 3.1416 \cdot {0.207}^{2}

Next Step Evaluate

∴

V = 24728.610833831N

Next Step Convert to Output's Unit

∴

V = 24.728610833831kN

LAST Step Rounding Answer

∴

V = 24.7286kN

Transverse Shear given Average 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

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

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 Maximum Longitudinal Shear Stress for Solid Circular Section

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

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 Average Longitudinal Shear Stress for Solid Circular Section?

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

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

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

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

The formula of Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section is expressed as Shear Force = Average Shear Stress*pi*Radius of Circular Section^2. Here is an example- 0.024729 = 183700*pi*0.207^2.

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

With Average Shear Stress (q_avg) & Radius of Circular Section (r) we can find Transverse Shear given Average Longitudinal Shear Stress for Solid Circular Section using the formula - Shear Force = Average Shear Stress*pi*Radius of Circular Section^2. 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=(Maximum Shear Stress*pi*Radius of Circular Section^2*3)/4

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

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

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

Transverse Shear given Average 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 Average Longitudinal Shear Stress for Solid Circular Section can be measured.

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