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 = V/(b*d)
This formula uses 4 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.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam refers to the internal force that acts parallel to the cross-section of the beam is the result of external loads, reactions at supports, and the beam’s own weight.
Beam Width at Considered Level - (Measured in Meter) - Beam width at considered level refers to the width of the beam’s cross-section at the point where shear stress or other forces are being analyzed.
Depth of Rectangular Section - (Measured in Meter) - Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam.
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 = V/(b*d) --> 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)

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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 for Rectangular Section Formula

​LaTeX ​Go
Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section)
𝜏avg = V/(b*d)

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, Average Shear Stress for Rectangular Section formula is defined as a measure of the average shear stress experienced by a rectangular section, which is a critical parameter in understanding the structural integrity and deformation of rectangular beams under various loads. 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 (V), Beam Width at Considered Level (b) & Depth of Rectangular Section (d) 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?
Average Shear Stress for Rectangular Section formula is defined as a measure of the average shear stress experienced by a rectangular section, which is a critical parameter in understanding the structural integrity and deformation of rectangular beams under various loads and is represented as 𝜏avg = V/(b*d) or Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section). Shear Force on Beam refers to the internal force that acts parallel to the cross-section of the beam is the result of external loads, reactions at supports, and the beam’s own weight, Beam width at considered level refers to the width of the beam’s cross-section at the point where shear stress or other forces are being analyzed & Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam.
How to calculate Average Shear Stress for Rectangular Section?
Average Shear Stress for Rectangular Section formula is defined as a measure of the average shear stress experienced by a rectangular section, which is a critical parameter in understanding the structural integrity and deformation of rectangular beams under various loads 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 (V), Beam Width at Considered Level (b) & Depth of Rectangular Section (d). 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
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