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Maximum Longitudinal Shear Stress for Solid Circular Section Formula

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

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

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

Maximum Longitudinal Shear Stress for Solid Circular Section Example

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

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

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

245.6404 = \frac{4 \cdot 24.8}{3 \cdot 3.1416 \cdot 207^{2}}

245.6404MPa = \frac{4 \cdot 24.8kN}{3 \cdot 3.1416 \cdot {207mm}^{2}}

245.6404 = \frac{4 \cdot 24.8}{3 \cdot 3.1416 \cdot 207^{2}}

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Maximum Longitudinal Shear Stress for Solid Circular Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ maxlongitudinal = \frac{4 \cdot 24.8kN}{3 \cdot π \cdot {207mm}^{2}}

Next Step Substitute values of Constants

∴

τ maxlongitudinal = \frac{4 \cdot 24.8kN}{3 \cdot 3.1416 \cdot {207mm}^{2}}

Next Step Convert Units

∴

τ maxlongitudinal = \frac{4 \cdot 24.8kN}{3 \cdot 3.1416 \cdot {0.207m}^{2}}

Next Step Prepare to Evaluate

∴

τ maxlongitudinal = \frac{4 \cdot 24.8}{3 \cdot 3.1416 \cdot {0.207}^{2}}

Next Step Evaluate

∴

τ maxlongitudinal = 245640432.755584Pa

Next Step Convert to Output's Unit

∴

τ maxlongitudinal = 245.640432755584MPa

LAST Step Rounding Answer

∴

τ maxlongitudinal = 245.6404MPa

Maximum Longitudinal Shear Stress for Solid Circular Section Formula Elements

Variables

Constants

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

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 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 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}}

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

Maximum Longitudinal Shear Stress for Solid Circular Section evaluator uses Maximum Longitudinal Shear Stress = (4*Shear Force)/(3*pi*Radius of Circular Section^2) to evaluate the Maximum Longitudinal Shear Stress, The Maximum Longitudinal Shear Stress for Solid Circular Section formula is defined as maximum of all calculated longitudinal shear stresses. Maximum Longitudinal Shear Stress is denoted by τ_{maxlongitudinal} symbol.

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

FAQs on Maximum Longitudinal Shear Stress for Solid Circular Section

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

The formula of Maximum Longitudinal Shear Stress for Solid Circular Section is expressed as Maximum Longitudinal Shear Stress = (4*Shear Force)/(3*pi*Radius of Circular Section^2). Here is an example- 0.000246 = (4*24800)/(3*pi*0.207^2).

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

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

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

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

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

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

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