Average Shear Stress given Maximum Shear Stress for Rectangular Section Calculator

✖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.ⓘ Maximum Shear Stress on Beam [𝜏_max]

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✖Average shear stress on beam is the internal shear stress caused by the shear force applied to the beam.ⓘ Average Shear Stress given Maximum Shear Stress for Rectangular Section [𝜏_avg]

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Average Shear Stress given Maximum Shear Stress for Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam
𝜏_avg = 2/3*𝜏_max
This formula uses 2 Variables

Variables Used

Average Shear Stress on Beam - (Measured in Pascal) - Average shear stress on beam is the internal shear stress caused by the shear force applied to the beam.
Maximum Shear Stress on Beam - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress on Beam: 11 Megapascal --> 11000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_avg = 2/3*𝜏_max --> 2/3*11000000

Evaluating ... ...

𝜏_avg = 7333333.33333333

STEP 3: Convert Result to Output's Unit

7333333.33333333 Pascal -->7.33333333333333 Megapascal (Check conversion here)

FINAL ANSWER

7.33333333333333 ≈ 7.333333 Megapascal <-- Average Shear Stress on Beam

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Shear Stress In Beam » Shear Stress Distribution for Different Sections » Mechanical » Shear Stress in Rectangular Section » Average Shear Stress given Maximum Shear Stress for Rectangular Section

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National Institute Of Technology (NIT), Hamirpur

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< Shear Stress in Rectangular Section Calculators

Shear Stress for Rectangular Section

LaTeX Go Shear Stress in Beam = Shear Force on Beam/(2*Moment of Inertia of Area of Section)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)

Shear Force for Rectangular Section

LaTeX Go Shear Force on Beam = (2*Moment of Inertia of Area of Section*Shear Stress in Beam)/(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)

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

LaTeX Go Distance to CG of Area from NA = 1/2*(Distance from Neutral Axis+Depth of Rectangular Section/2)

Distance of Considered Level from Neutral Axis for Rectangular Section

LaTeX Go Distance from Neutral Axis = 2*(Distance to CG of Area from NA-Depth of Rectangular Section/4)

Average Shear Stress given Maximum Shear Stress for Rectangular Section Formula

LaTeX Go

Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam
𝜏_avg = 2/3*𝜏_max

In which section maximum shear stress position is not at the neutral axis of section?

Nevertheless, the maximum shear stress does not always occur at the neutral axis. For instance, in the case of a cross section having nonparallel sides, such as a triangular section, the maximum value of Q/b (and thus τxy) occurs at mid height, h/2, while the neutral axis is located at a distance h/3 from the base.

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

Average Shear Stress given Maximum Shear Stress for Rectangular Section calculator uses Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam to calculate 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 calculate Average Shear Stress given Maximum Shear Stress for Rectangular Section using this online calculator? To use this online calculator for Average Shear Stress given Maximum Shear Stress for Rectangular Section, enter Maximum Shear Stress on Beam (𝜏_max) and hit the calculate button. Here is how the Average Shear Stress given Maximum Shear Stress for Rectangular Section calculation can be explained with given input values -> 7.3E-6 = 2/3*11000000.

FAQ

What is Average Shear Stress given Maximum Shear Stress for Rectangular Section?

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 and is represented as 𝜏_avg = 2/3*𝜏_max or Average Shear Stress on Beam = 2/3*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.

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

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 is calculated using Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam. To calculate Average Shear Stress given Maximum Shear Stress for Rectangular Section, you need Maximum Shear Stress on Beam (𝜏_max). With our tool, you need to enter the respective value for Maximum Shear Stress on Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Average Shear Stress on Beam?

In this formula, Average Shear Stress on Beam uses Maximum Shear Stress on Beam. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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