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 that acts coplanar with a cross-section of material arises due to shear forces.
Average Shear Stress on Beam - (Measured in Pascal) - Average Shear Stress on Beam is defined as the the shear load divided by the area.
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

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

Maximum Shear Stress for Rectangular Section Formula

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 occurs at the neutral axis and is zero at both the top and bottom surface of the beam. 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 occurs at the neutral axis and is zero at both the top and bottom surface of the beam 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 defined as the the shear load divided by the area.
How to calculate Maximum Shear Stress for Rectangular Section?
Maximum Shear Stress for Rectangular Section occurs at the neutral axis and is zero at both the top and bottom surface of the beam 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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