Maximum Shear Stress for Rectangular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Shear Stress on Beam = 3/2*Average Shear Stress on Beam
𝜏max = 3/2*𝜏avg
This formula uses 2 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Average Shear Stress on Beam: 0.05 Megapascal --> 50000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏max = 3/2*𝜏avg --> 3/2*50000
Evaluating ... ...
𝜏max = 75000
STEP 3: Convert Result to Output's Unit
75000 Pascal -->0.075 Megapascal (Check conversion ​here)
FINAL ANSWER
0.075 Megapascal <-- Maximum Shear Stress on Beam
(Calculation completed in 00.004 seconds)

Credits

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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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)

Maximum Shear Stress for Rectangular Section Formula

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

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 of h/3 from the base.

How to Calculate Maximum Shear Stress for Rectangular Section?

Maximum Shear Stress for Rectangular Section calculator uses Maximum Shear Stress on Beam = 3/2*Average Shear Stress on Beam to calculate the Maximum Shear Stress on Beam, Maximum Shear Stress for Rectangular Section formula is defined as a measure of the highest stress experienced by a rectangular section when subjected to shear forces, providing a critical value for structural integrity and failure analysis in engineering design and material selection. Maximum Shear Stress on Beam is denoted by 𝜏max symbol.

How to calculate Maximum Shear Stress for Rectangular Section using this online calculator? To use this online calculator for Maximum Shear Stress for Rectangular Section, enter Average Shear Stress on Beam (𝜏avg) and hit the calculate button. Here is how the Maximum Shear Stress for Rectangular Section calculation can be explained with given input values -> 7.5E-8 = 3/2*50000.

FAQ

What is Maximum Shear Stress for Rectangular Section?
Maximum Shear Stress for Rectangular Section formula is defined as a measure of the highest stress experienced by a rectangular section when subjected to shear forces, providing a critical value for structural integrity and failure analysis in engineering design and material selection and is represented as 𝜏max = 3/2*𝜏avg or Maximum Shear Stress on Beam = 3/2*Average Shear Stress on Beam. Average shear stress on beam is the internal shear stress caused by the shear force applied to the beam.
How to calculate Maximum Shear Stress for Rectangular Section?
Maximum Shear Stress for Rectangular Section formula is defined as a measure of the highest stress experienced by a rectangular section when subjected to shear forces, providing a critical value for structural integrity and failure analysis in engineering design and material selection is calculated using Maximum Shear Stress on Beam = 3/2*Average Shear Stress on Beam. To calculate Maximum Shear Stress for Rectangular Section, you need Average Shear Stress on Beam (𝜏avg). With our tool, you need to enter the respective value for Average 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.
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