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Average Shear Stress given Maximum Shear Stress for Rectangular Section Formula

GoAverage Shear Stress for Rectangular Section Formula

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Average shear stress on beam is the internal shear stress caused by the shear force applied to the beam. Check FAQs

𝜏 avg = \frac{2}{3} \cdot 𝜏 max

𝜏_avg - Average Shear Stress on Beam?𝜏_max - Maximum Shear Stress on Beam?

Average Shear Stress given Maximum Shear Stress for Rectangular Section Example

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Here is how the Average Shear Stress given Maximum Shear Stress for Rectangular Section equation looks like with Values.

Here is how the Average Shear Stress given Maximum Shear Stress for Rectangular Section equation looks like with Units.

Here is how the Average Shear Stress given Maximum Shear Stress for Rectangular Section equation looks like.

7.3333 = \frac{2}{3} \cdot 11

7.3333MPa = \frac{2}{3} \cdot 11MPa

7.3333 = \frac{2}{3} \cdot 11

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Average Shear Stress given Maximum Shear Stress for Rectangular Section Solution

Follow our step by step solution on how to calculate Average Shear Stress given Maximum Shear Stress for Rectangular Section?

FIRST Step Consider the formula

𝜏 avg = \frac{2}{3} \cdot 𝜏 max

Next Step Substitute values of Variables

∴

𝜏 avg = \frac{2}{3} \cdot 11MPa

Next Step Convert Units

∴

𝜏 avg = \frac{2}{3} \cdot 1.1E+7Pa

Next Step Prepare to Evaluate

∴

𝜏 avg = \frac{2}{3} \cdot 1.1E+7

Next Step Evaluate

∴

𝜏 avg = 7333333.33333333Pa

Next Step Convert to Output's Unit

∴

𝜏 avg = 7.33333333333333MPa

LAST Step Rounding Answer

∴

𝜏 avg = 7.3333MPa

Average Shear Stress given Maximum Shear Stress for Rectangular Section Formula Elements

Variables

Average Shear Stress on Beam

Average shear stress on beam is the internal shear stress caused by the shear force applied to the beam.

Symbol: 𝜏_avg

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Average Shear Stress on Beam

Maximum Shear Stress on Beam

Maximum Shear Stress on Beam is the highest value of shear stress that occurs within the beam’s cross-section ensures it can withstand applied loads without failing.

Symbol: 𝜏_max

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress on Beam

Other Formulas to find Average Shear Stress on Beam

Go Average Shear Stress for Rectangular Section

𝜏 avg = \frac{V}{b \cdot d}

Other formulas in Shear Stress in Rectangular Section category

Go Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section

ȳ = \frac{1}{2} \cdot (σ + \frac{d}{2})

Go Distance of Considered Level from Neutral Axis for Rectangular Section

σ = 2 \cdot (ȳ - \frac{d}{4})

Go Shear Stress for Rectangular Section

𝜏 = \frac{V}{2 \cdot I} \cdot (\frac{d^{2}}{4} - σ^{2})

Go Shear Force for Rectangular Section

V = \frac{2 \cdot I \cdot 𝜏}{\frac{d^{2}}{4} - σ^{2}}

How to Evaluate Average Shear Stress given Maximum Shear Stress for Rectangular Section?

Average Shear Stress given Maximum Shear Stress for Rectangular Section evaluator uses Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam to evaluate the Average Shear Stress on Beam, Average Shear Stress given Maximum Shear Stress for Rectangular Section formula is defined as a measure of the uniform distribution of shear stress across a rectangular section, providing a reliable estimate of the average stress experienced by the section under various loading conditions. Average Shear Stress on Beam is denoted by 𝜏_avg symbol.

How to evaluate Average Shear Stress given Maximum Shear Stress for Rectangular Section using this online evaluator? To use this online evaluator for Average Shear Stress given Maximum Shear Stress for Rectangular Section, enter Maximum Shear Stress on Beam (𝜏_max) and hit the calculate button.

FAQs on Average Shear Stress given Maximum Shear Stress for Rectangular Section

What is the formula to find Average Shear Stress given Maximum Shear Stress for Rectangular Section?

The formula of Average Shear Stress given Maximum Shear Stress for Rectangular Section is expressed as Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam. Here is an example- 7.3E-6 = 2/3*11000000.

How to calculate Average Shear Stress given Maximum Shear Stress for Rectangular Section?

With Maximum Shear Stress on Beam (𝜏_max) we can find Average Shear Stress given Maximum Shear Stress for Rectangular Section using the formula - Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam.

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=Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section)

Can the Average Shear Stress given Maximum Shear Stress for Rectangular Section be negative?

No, the Average Shear Stress given Maximum Shear Stress for Rectangular Section, measured in Pressure cannot be negative.

Which unit is used to measure Average Shear Stress given Maximum Shear Stress for Rectangular Section?

Average Shear Stress given Maximum Shear Stress for Rectangular 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 given Maximum Shear Stress for Rectangular Section can be measured.

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