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Average Shear Stress for Circular Section Formula

GoAverage Shear Stress for Circular Section given Maximum Shear Stress Formula

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Average Shear Stress on Beam is the force per unit area that acts parallel to the cross-section of a structural element, such as a beam. Check FAQs

𝜏 avg = \frac{F s}{π \cdot r^{2}}

𝜏_avg - Average Shear Stress on Beam?F_s - Shear Force on Beam?r - Radius of Circular Section?π - Archimedes' constant?

Average Shear Stress for Circular Section Example

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

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

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

0.0011 = \frac{4.8}{3.1416 \cdot 1200^{2}}

0.0011MPa = \frac{4.8kN}{3.1416 \cdot {1200mm}^{2}}

0.0011 = \frac{4.8}{3.1416 \cdot 1200^{2}}

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Average Shear Stress for Circular Section Solution

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

FIRST Step Consider the formula

𝜏 avg = \frac{F s}{π \cdot r^{2}}

Next Step Substitute values of Variables

∴

𝜏 avg = \frac{4.8kN}{π \cdot {1200mm}^{2}}

Next Step Substitute values of Constants

∴

𝜏 avg = \frac{4.8kN}{3.1416 \cdot {1200mm}^{2}}

Next Step Convert Units

∴

𝜏 avg = \frac{4800N}{3.1416 \cdot {1.2m}^{2}}

Next Step Prepare to Evaluate

∴

𝜏 avg = \frac{4800}{3.1416 \cdot {1.2}^{2}}

Next Step Evaluate

∴

𝜏 avg = 1061.03295394597Pa

Next Step Convert to Output's Unit

∴

𝜏 avg = 0.00106103295394597MPa

LAST Step Rounding Answer

∴

𝜏 avg = 0.0011MPa

Average Shear Stress for Circular Section Formula Elements

Variables

Constants

Average Shear Stress on Beam

Average Shear Stress on Beam is the force per unit area that acts parallel to the cross-section of a structural element, such as a beam.

Symbol: 𝜏_avg

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Average Shear Stress on Beam

Shear Force on Beam

Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.

Symbol: F_s

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Force on Beam

Radius of Circular Section

Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.

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 Average Shear Stress on Beam

Go Average Shear Stress for Circular Section given Maximum Shear Stress

𝜏 avg = \frac{3}{4} \cdot 𝜏 max

Other formulas in Average Shear Stress category

Go Average Shear Force for Circular Section

F s = π \cdot r^{2} \cdot 𝜏 avg

Go Shear Force using Maximum Shear Stress

F s = \frac{3 \cdot I \cdot 𝜏 max}{r^{2}}

Go Shear Force in Circular Section

F s = \frac{𝜏 beam \cdot I \cdot B}{\frac{2}{3} \cdot {(r^{2} - y^{2})}^{\frac{3}{2}}}

Go Shear Stress Distribution for Circular Section

𝜏 max = \frac{F s \cdot \frac{2}{3} \cdot {(r^{2} - y^{2})}^{\frac{3}{2}}}{I \cdot B}

How to Evaluate Average Shear Stress for Circular Section?

Average Shear Stress for Circular Section evaluator uses Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2) to evaluate the Average Shear Stress on Beam, The Average Shear Stress for Circular Section formula is defined as the measure of the average shear stress experienced by a circular section, which is a critical parameter in evaluating the structural integrity of circular components under various loads. Average Shear Stress on Beam is denoted by 𝜏_avg symbol.

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

FAQs on Average Shear Stress for Circular Section

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

The formula of Average Shear Stress for Circular Section is expressed as Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2). Here is an example- 1.1E-9 = 4800/(pi*1.2^2).

How to calculate Average Shear Stress for Circular Section?

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

What are the other ways to Calculate Average Shear Stress on Beam?

Here are the different ways to Calculate Average Shear Stress on Beam-

Average Shear Stress on Beam=3/4*Maximum Shear Stress on Beam

Can the Average Shear Stress for Circular Section be negative?

No, the Average Shear Stress for Circular Section, measured in Pressure cannot be negative.

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

Average Shear Stress for Circular Section is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Average Shear Stress for Circular Section can be measured.

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