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
𝜏avg = 2/3*𝜏max
This formula uses 2 Variables
Variables Used
Average Shear Stress on Beam - (Measured in Pascal) - Average Shear Stress on Beam is defined as the the shear load divided by the area.
Maximum Shear Stress on Beam - (Measured in Pascal) - Maximum Shear Stress on Beam that acts coplanar with a cross-section of material arises due to shear forces.
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
𝜏avg = 2/3*𝜏max --> 2/3*11000000
Evaluating ... ...
𝜏avg = 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 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Indian Institute of Information Technology (IIIT), Guwahati
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10+ Shear Stress in Rectangular Section Calculators

Moment of Inertia of Rectangular Section about Neutral Axis
Go Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)
Shear Stress for Rectangular Section
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
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)
Average Shear Stress for Rectangular Section
Go Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section)
Shear Stress Variation across Neutral Axis for Rectangular Section
Go Shear Stress in Beam = 3/2*Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section)
Shear Force Variation across Neutral Axis for Rectangular Section
Go Shear Force on Beam = 2/3*Shear Stress in Beam*Beam Width at Considered Level*Depth of Rectangular Section
Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section
Go Distance of 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
Go Distance from Neutral Axis = 2*(Distance of CG of Area from NA-Depth of Rectangular Section/4)
Average Shear Stress given Maximum Shear Stress for Rectangular Section
Go Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam
Maximum Shear Stress for Rectangular Section
Go Maximum Shear Stress on Beam = 3/2*Average Shear Stress on Beam

Average Shear Stress given Maximum Shear Stress for Rectangular Section Formula

Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam
𝜏avg = 2/3*𝜏max

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, The Average Shear Stress given Maximum Shear Stress for Rectangular Section formula is defined as maximum shear stress divided by 1.5. Average Shear Stress on Beam is denoted by 𝜏avg 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 (𝜏max) 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?
The Average Shear Stress given Maximum Shear Stress for Rectangular Section formula is defined as maximum shear stress divided by 1.5 and is represented as 𝜏avg = 2/3*𝜏max or Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam. Maximum Shear Stress on Beam that acts coplanar with a cross-section of material arises due to shear forces.
How to calculate Average Shear Stress given Maximum Shear Stress for Rectangular Section?
The Average Shear Stress given Maximum Shear Stress for Rectangular Section formula is defined as maximum shear stress divided by 1.5 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 (𝜏max). 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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