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Shear Force using Maximum Shear Stress Formula

GoAverage Shear Force for Circular Section 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 = \frac{3 \cdot I \cdot 𝜏 max}{r^{2}}

F_s - Shear Force on Beam?I - Moment of Inertia of Area of Section?𝜏_max - Maximum Shear Stress on Beam?r - Radius of Circular Section?

Shear Force using Maximum Shear Stress Example

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Here is how the Shear Force using Maximum Shear Stress equation looks like with Values.

Here is how the Shear Force using Maximum Shear Stress equation looks like with Units.

Here is how the Shear Force using Maximum Shear Stress equation looks like.

38.5 = \frac{3 \cdot 0.0017 \cdot 11}{1200^{2}}

38.5kN = \frac{3 \cdot 0.0017m⁴ \cdot 11MPa}{{1200mm}^{2}}

38.5 = \frac{3 \cdot 0.0017 \cdot 11}{1200^{2}}

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Shear Force using Maximum Shear Stress Solution

Follow our step by step solution on how to calculate Shear Force using Maximum Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F s = \frac{3 \cdot 0.0017m⁴ \cdot 11MPa}{{1200mm}^{2}}

Next Step Convert Units

∴

F s = \frac{3 \cdot 0.0017m⁴ \cdot 1.1E+7Pa}{{1.2m}^{2}}

Next Step Prepare to Evaluate

∴

F s = \frac{3 \cdot 0.0017 \cdot 1.1E+7}{{1.2}^{2}}

Next Step Evaluate

∴

F s = 38500N

LAST Step Convert to Output's Unit

∴

F s = 38.5kN

Shear Force using Maximum Shear Stress Formula Elements

Variables

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

Moment of Inertia of Area of Section

Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Area of Section

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

Other Formulas to find Shear Force on Beam

Go Average Shear Force for Circular Section

F s = π \cdot r^{2} \cdot 𝜏 avg

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 Shear Force using Maximum Shear Stress?

Shear Force using Maximum Shear Stress evaluator uses Shear Force on Beam = (3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2 to evaluate the Shear Force on Beam, The Shear Force using Maximum Shear Stress formula is defined as a measure of the maximum force that can be applied to a circular section without causing it to deform or break, typically used in mechanical engineering to design and analyze structures and machines. Shear Force on Beam is denoted by F_s symbol.

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

FAQs on Shear Force using Maximum Shear Stress

What is the formula to find Shear Force using Maximum Shear Stress?

The formula of Shear Force using Maximum Shear Stress is expressed as Shear Force on Beam = (3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2. Here is an example- 0.0385 = (3*0.00168*11000000)/1.2^2.

How to calculate Shear Force using Maximum Shear Stress?

With Moment of Inertia of Area of Section (I), Maximum Shear Stress on Beam (𝜏_max) & Radius of Circular Section (r) we can find Shear Force using Maximum Shear Stress using the formula - Shear Force on Beam = (3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2.

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=pi*Radius of Circular Section^2*Average Shear Stress on Beam
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 Shear Force using Maximum Shear Stress be negative?

Yes, the Shear Force using Maximum Shear Stress, measured in Force can be negative.

Which unit is used to measure Shear Force using Maximum Shear Stress?

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

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