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Average Shear Force for Circular Section Formula

GoShear Force using Maximum Shear Stress Formula

GoShear Force in Circular Section Formula

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

F s = π \cdot r^{2} \cdot 𝜏 avg

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

Average Shear Force for Circular Section Example

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With units

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

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

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

226.1947 = 3.1416 \cdot 1200^{2} \cdot 0.05

226.1947kN = 3.1416 \cdot {1200mm}^{2} \cdot 0.05MPa

226.1947 = 3.1416 \cdot 1200^{2} \cdot 0.05

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Average Shear Force for Circular Section Solution

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

FIRST Step Consider the formula

F s = π \cdot r^{2} \cdot 𝜏 avg

Next Step Substitute values of Variables

∴

F s = π \cdot {1200mm}^{2} \cdot 0.05MPa

Next Step Substitute values of Constants

∴

F s = 3.1416 \cdot {1200mm}^{2} \cdot 0.05MPa

Next Step Convert Units

∴

F s = 3.1416 \cdot {1.2m}^{2} \cdot 50000Pa

Next Step Prepare to Evaluate

∴

F s = 3.1416 \cdot {1.2}^{2} \cdot 50000

Next Step Evaluate

∴

F s = 226194.671058465N

Next Step Convert to Output's Unit

∴

F s = 226.194671058465kN

LAST Step Rounding Answer

∴

F s = 226.1947kN

Average Shear Force for Circular Section Formula Elements

Variables

Constants

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

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

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 on Beam

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}}}

Other formulas in Average Shear Stress category

Go Average Shear Stress for Circular Section given Maximum Shear Stress

𝜏 avg = \frac{3}{4} \cdot 𝜏 max

Go Average Shear Stress for Circular Section

𝜏 avg = \frac{F s}{π \cdot r^{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 Force for Circular Section?

Average Shear Force for Circular Section evaluator uses Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam to evaluate the Shear Force on Beam, The Average Shear Force 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 loading conditions. Shear Force on Beam is denoted by F_s symbol.

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

FAQs on Average Shear Force for Circular Section

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

The formula of Average Shear Force for Circular Section is expressed as Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam. Here is an example- 0.226195 = pi*1.2^2*50000.

How to calculate Average Shear Force for Circular Section?

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

What are the other ways to Calculate Shear Force on Beam?

Here are the different ways to Calculate Shear Force on Beam-

Shear Force on Beam=(3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2
Shear Force on Beam=(Shear Stress in Beam*Moment of Inertia of Area of Section*Width of Beam Section)/(2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))

Can the Average Shear Force for Circular Section be negative?

Yes, the Average Shear Force for Circular Section, measured in Force can be negative.

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

Average Shear Force for Circular Section is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Average Shear Force for Circular Section can be measured.

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