Average Shear Stress for Rectangular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section)
𝜏avg = Fs/(w*drec)
This formula uses 4 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.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
Beam Width at Considered Level - (Measured in Meter) - Beam Width at Considered Level is the description of how wide the beam is at that level.
Depth of Rectangular Section - (Measured in Meter) - Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.
STEP 1: Convert Input(s) to Base Unit
Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
Beam Width at Considered Level: 95 Millimeter --> 0.095 Meter (Check conversion here)
Depth of Rectangular Section: 285 Millimeter --> 0.285 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏avg = Fs/(w*drec) --> 4800/(0.095*0.285)
Evaluating ... ...
𝜏avg = 177285.318559557
STEP 3: Convert Result to Output's Unit
177285.318559557 Pascal -->0.177285318559557 Megapascal (Check conversion here)
FINAL ANSWER
0.177285318559557 0.177285 Megapascal <-- Average Shear Stress on Beam
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
Dipto Mandal has verified this Calculator and 400+ more calculators!

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 for Rectangular Section Formula

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

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 for Rectangular Section?

Average Shear Stress for Rectangular Section calculator uses Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section) to calculate the Average Shear Stress on Beam, The Average Shear Stress for Rectangular Section formula is defined as the shear load divided by the area. Average Shear Stress on Beam is denoted by 𝜏avg symbol.

How to calculate Average Shear Stress for Rectangular Section using this online calculator? To use this online calculator for Average Shear Stress for Rectangular Section, enter Shear Force on Beam (Fs), Beam Width at Considered Level (w) & Depth of Rectangular Section (drec) and hit the calculate button. Here is how the Average Shear Stress for Rectangular Section calculation can be explained with given input values -> 1.8E-7 = 4800/(0.095*0.285).

FAQ

What is Average Shear Stress for Rectangular Section?
The Average Shear Stress for Rectangular Section formula is defined as the shear load divided by the area and is represented as 𝜏avg = Fs/(w*drec) or Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section). Shear Force on Beam is the force which causes shear deformation to occur in the shear plane, Beam Width at Considered Level is the description of how wide the beam is at that level & Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.
How to calculate Average Shear Stress for Rectangular Section?
The Average Shear Stress for Rectangular Section formula is defined as the shear load divided by the area is calculated using Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section). To calculate Average Shear Stress for Rectangular Section, you need Shear Force on Beam (Fs), Beam Width at Considered Level (w) & Depth of Rectangular Section (drec). With our tool, you need to enter the respective value for Shear Force on Beam, Beam Width at Considered Level & Depth of Rectangular Section 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 Shear Force on Beam, Beam Width at Considered Level & Depth of Rectangular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Average Shear Stress on Beam = 2/3*Maximum Shear Stress on Beam
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!