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Maximum Shear Force given Radius of 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 = 𝜏 max \cdot \frac{3}{4} \cdot π \cdot r^{2}

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

Maximum Shear Force given Radius of Circular Section Example

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Here is how the Maximum Shear Force given Radius of Circular Section equation looks like with Values.

Here is how the Maximum Shear Force given Radius of Circular Section equation looks like with Units.

Here is how the Maximum Shear Force given Radius of Circular Section equation looks like.

37322.1207 = 11 \cdot \frac{3}{4} \cdot 3.1416 \cdot 1200^{2}

37322.1207kN = 11MPa \cdot \frac{3}{4} \cdot 3.1416 \cdot {1200mm}^{2}

37322.1207 = 11 \cdot \frac{3}{4} \cdot 3.1416 \cdot 1200^{2}

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Maximum Shear Force given Radius of Circular Section Solution

Follow our step by step solution on how to calculate Maximum Shear Force given Radius of Circular Section?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F s = 11MPa \cdot \frac{3}{4} \cdot π \cdot {1200mm}^{2}

Next Step Substitute values of Constants

∴

F s = 11MPa \cdot \frac{3}{4} \cdot 3.1416 \cdot {1200mm}^{2}

Next Step Convert Units

∴

F s = 1.1E+7Pa \cdot \frac{3}{4} \cdot 3.1416 \cdot {1.2m}^{2}

Next Step Prepare to Evaluate

∴

F s = 1.1E+7 \cdot \frac{3}{4} \cdot 3.1416 \cdot {1.2}^{2}

Next Step Evaluate

∴

F s = 37322120.7246467N

Next Step Convert to Output's Unit

∴

F s = 37322.1207246467kN

LAST Step Rounding Answer

∴

F s = 37322.1207kN

Maximum Shear Force given Radius of 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

Maximum Shear Stress on Beam

Maximum Shear Stress on Beam is the highest value of shear stress that occurs at any point within the beam when subjected to external loading, such as transverse forces.

Symbol: 𝜏_max

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress 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 in Maximum Shear Stress category

Go Maximum Shear Stress for Circular Section

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

Go Maximum Shear Stress for Circular Section given Average Shear Stress

𝜏 max = \frac{4}{3} \cdot 𝜏 avg

Go Maximum Shear Stress given Radius of Circular Section

𝜏 beam = \frac{4}{3} \cdot \frac{F s}{π \cdot r^{2}}

How to Evaluate Maximum Shear Force given Radius of Circular Section?

Maximum Shear Force given Radius of Circular Section evaluator uses Shear Force on Beam = Maximum Shear Stress on Beam*3/4*pi*Radius of Circular Section^2 to evaluate the Shear Force on Beam, The Maximum Shear Force given Radius of Circular Section formula is defined as a measure of the maximum shear force that occurs in a circular section, which is a critical parameter in evaluating the structural integrity of circular beams and shafts under various types of loading conditions. Shear Force on Beam is denoted by F_s symbol.

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

FAQs on Maximum Shear Force given Radius of Circular Section

What is the formula to find Maximum Shear Force given Radius of Circular Section?

The formula of Maximum Shear Force given Radius of Circular Section is expressed as Shear Force on Beam = Maximum Shear Stress on Beam*3/4*pi*Radius of Circular Section^2. Here is an example- 37.32212 = 11000000*3/4*pi*1.2^2.

How to calculate Maximum Shear Force given Radius of Circular Section?

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

Can the Maximum Shear Force given Radius of Circular Section be negative?

Yes, the Maximum Shear Force given Radius of Circular Section, measured in Force can be negative.

Which unit is used to measure Maximum Shear Force given Radius of Circular Section?

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

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