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Average Longitudinal Shear Stress for Solid Circular Section Formula

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

q avg = \frac{V}{π \cdot r^{2}}

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

Average Longitudinal Shear Stress for Solid Circular Section Example

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

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

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

0.1842 = \frac{24.8}{3.1416 \cdot 207^{2}}

0.1842MPa = \frac{24.8kN}{3.1416 \cdot {207mm}^{2}}

0.1842 = \frac{24.8}{3.1416 \cdot 207^{2}}

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Average Longitudinal Shear Stress for Solid Circular Section Solution

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

FIRST Step Consider the formula

q avg = \frac{V}{π \cdot r^{2}}

Next Step Substitute values of Variables

∴

q avg = \frac{24.8kN}{π \cdot {207mm}^{2}}

Next Step Substitute values of Constants

∴

q avg = \frac{24.8kN}{3.1416 \cdot {207mm}^{2}}

Next Step Convert Units

∴

q avg = \frac{24800N}{3.1416 \cdot {0.207m}^{2}}

Next Step Prepare to Evaluate

∴

q avg = \frac{24800}{3.1416 \cdot {0.207}^{2}}

Next Step Evaluate

∴

q avg = 184230.324566688Pa

Next Step Convert to Output's Unit

∴

q avg = 0.184230324566688MPa

LAST Step Rounding Answer

∴

q avg = 0.1842MPa

Average Longitudinal Shear Stress for Solid Circular Section Formula Elements

Variables

Constants

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

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

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 in Longitudinal Shear Stress for Solid Circular Section category

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

V = q avg \cdot 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 Transverse Shear given Maximum Longitudinal Shear Stress for Solid Circular Section

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

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

Average Longitudinal Shear Stress for Solid Circular Section evaluator uses Average Shear Stress = Shear Force/(pi*Radius of Circular Section^2) to evaluate the Average Shear Stress, The Average Longitudinal Shear Stress for Solid Circular Section formula is defined as average of all the calculated longitudinal shear stresses. Average Shear Stress is denoted by q_avg symbol.

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

FAQs on Average Longitudinal Shear Stress for Solid Circular Section

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

The formula of Average Longitudinal Shear Stress for Solid Circular Section is expressed as Average Shear Stress = Shear Force/(pi*Radius of Circular Section^2). Here is an example- 1.8E-7 = 24800/(pi*0.207^2).

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

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

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

Yes, the Average Longitudinal Shear Stress for Solid Circular Section, measured in Stress can be negative.

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

Average Longitudinal Shear Stress for Solid Circular Section is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Average Longitudinal Shear Stress for Solid Circular Section can be measured.

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