Average Shear Force for Circular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam
Fs = pi*r^2*𝜏avg
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
Radius of Circular Section - (Measured in Meter) - Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.
Average Shear Stress on Beam - (Measured in Pascal) - Average Shear Stress on Beam is the force per unit area that acts parallel to the cross-section of a structural element, such as a beam.
STEP 1: Convert Input(s) to Base Unit
Radius of Circular Section: 1200 Millimeter --> 1.2 Meter (Check conversion ​here)
Average Shear Stress on Beam: 0.05 Megapascal --> 50000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fs = pi*r^2*𝜏avg --> pi*1.2^2*50000
Evaluating ... ...
Fs = 226194.671058465
STEP 3: Convert Result to Output's Unit
226194.671058465 Newton -->226.194671058465 Kilonewton (Check conversion ​here)
FINAL ANSWER
226.194671058465 226.1947 Kilonewton <-- Shear Force on Beam
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Average Shear Stress Calculators

Shear Force using Maximum Shear Stress
​ LaTeX ​ Go Shear Force on Beam = (3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2
Average Shear Stress for Circular Section
​ LaTeX ​ Go Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2)
Average Shear Force for Circular Section
​ LaTeX ​ Go Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam
Average Shear Stress for Circular Section given Maximum Shear Stress
​ LaTeX ​ Go Average Shear Stress on Beam = 3/4*Maximum Shear Stress on Beam

Average Shear Force for Circular Section Formula

​LaTeX ​Go
Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam
Fs = pi*r^2*𝜏avg

What is Shear Force?

Shear force is unaligned force pushing one part of a body in one specific direction, and another part of the body in the opposite direction.

How to Calculate Average Shear Force for Circular Section?

Average Shear Force for Circular Section calculator uses Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam to calculate the Shear Force on Beam, The Average Shear Force for Circular Section formula is defined as the measure of the average shear stress experienced by a circular section, which is a critical parameter in evaluating the structural integrity of circular components under various loading conditions. Shear Force on Beam is denoted by Fs symbol.

How to calculate Average Shear Force for Circular Section using this online calculator? To use this online calculator for Average Shear Force for Circular Section, enter Radius of Circular Section (r) & Average Shear Stress on Beam (𝜏avg) and hit the calculate button. Here is how the Average Shear Force for Circular Section calculation can be explained with given input values -> 0.226195 = pi*1.2^2*50000.

FAQ

What is Average Shear Force for Circular Section?
The Average Shear Force for Circular Section formula is defined as the measure of the average shear stress experienced by a circular section, which is a critical parameter in evaluating the structural integrity of circular components under various loading conditions and is represented as Fs = pi*r^2*𝜏avg or Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam. Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications & Average Shear Stress on Beam is the force per unit area that acts parallel to the cross-section of a structural element, such as a beam.
How to calculate Average Shear Force for Circular Section?
The Average Shear Force for Circular Section formula is defined as the measure of the average shear stress experienced by a circular section, which is a critical parameter in evaluating the structural integrity of circular components under various loading conditions is calculated using Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam. To calculate Average Shear Force for Circular Section, you need Radius of Circular Section (r) & Average Shear Stress on Beam (𝜏avg). With our tool, you need to enter the respective value for Radius of Circular Section & 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.
How many ways are there to calculate Shear Force on Beam?
In this formula, Shear Force on Beam uses Radius of Circular Section & Average Shear Stress on Beam. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Shear Force on Beam = (3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2
  • Shear Force on Beam = (Shear Stress in Beam*Moment of Inertia of Area of Section*Width of Beam Section)/(2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))
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