Maximum Shear Force given Radius of Circular Section Calculator

✖Maximum Shear Stress on Beam is the highest value of shear stress that occurs at any point within the beam when subjected to external loading, such as transverse forces.ⓘ Maximum Shear Stress on Beam [𝜏_max]			+10% -10%
✖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.ⓘ Radius of Circular Section [r]			+10% -10%

✖Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Maximum Shear Force given Radius of Circular Section [F_s]

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Maximum Shear Force given Radius of Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force on Beam = Maximum Shear Stress on Beam*3/4*pi*Radius of Circular Section^2
F_s = 𝜏_max*3/4*pi*r^2
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.
Maximum Shear Stress on Beam - (Measured in Pascal) - Maximum Shear Stress on Beam is the highest value of shear stress that occurs at any point within the beam when subjected to external loading, such as transverse forces.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress on Beam: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Radius of Circular Section: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = 𝜏_max*3/4*pi*r^2 --> 11000000*3/4*pi*1.2^2

Evaluating ... ...

F_s = 37322120.7246467

STEP 3: Convert Result to Output's Unit

37322120.7246467 Newton -->37322.1207246467 Kilonewton (Check conversion here)

FINAL ANSWER

37322.1207246467 ≈ 37322.12 Kilonewton <-- Shear Force on Beam

(Calculation completed in 00.004 seconds)

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< Maximum Shear Stress Calculators

Maximum Shear Stress for Circular Section

LaTeX Go Maximum Shear Stress on Beam = Shear Force on Beam/(3*Moment of Inertia of Area of Section)*Radius of Circular Section^2

Maximum Shear Force given Radius of Circular Section

LaTeX Go Shear Force on Beam = Maximum Shear Stress on Beam*3/4*pi*Radius of Circular Section^2

Maximum Shear Stress given Radius of Circular Section

LaTeX Go Shear Stress in Beam = 4/3*Shear Force on Beam/(pi*Radius of Circular Section^2)

Maximum Shear Stress for Circular Section given Average Shear Stress

LaTeX Go Maximum Shear Stress on Beam = 4/3*Average Shear Stress on Beam

Maximum Shear Force given Radius of Circular Section Formula

LaTeX Go

Shear Force on Beam = Maximum Shear Stress on Beam*3/4*pi*Radius of Circular Section^2
F_s = 𝜏_max*3/4*pi*r^2

What is Shear Stress and Strain?

When a force acts parallel to the surface of an object, it exerts a shear stress. Let's consider a rod under uniaxial tension. The rod elongates under this tension to a new length, and the normal strain is a ratio of this small deformation to the rod's original length.

How to Calculate Maximum Shear Force given Radius of Circular Section?

Maximum Shear Force given Radius of Circular Section calculator uses Shear Force on Beam = Maximum Shear Stress on Beam*3/4*pi*Radius of Circular Section^2 to calculate the Shear Force on Beam, The Maximum Shear Force given Radius of Circular Section formula is defined as a measure of the maximum shear force that occurs in a circular section, which is a critical parameter in evaluating the structural integrity of circular beams and shafts under various types of loading conditions. Shear Force on Beam is denoted by F_s symbol.

How to calculate Maximum Shear Force given Radius of Circular Section using this online calculator? To use this online calculator for Maximum Shear Force given Radius of Circular Section, enter Maximum Shear Stress on Beam (𝜏_max) & Radius of Circular Section (r) and hit the calculate button. Here is how the Maximum Shear Force given Radius of Circular Section calculation can be explained with given input values -> 37.32212 = 11000000*3/4*pi*1.2^2.

FAQ

What is Maximum Shear Force given Radius of Circular Section?

The Maximum Shear Force given Radius of Circular Section formula is defined as a measure of the maximum shear force that occurs in a circular section, which is a critical parameter in evaluating the structural integrity of circular beams and shafts under various types of loading conditions and is represented as F_s = 𝜏_max*3/4*pi*r^2 or Shear Force on Beam = Maximum Shear Stress on Beam*3/4*pi*Radius of Circular Section^2. Maximum Shear Stress on Beam is the highest value of shear stress that occurs at any point within the beam when subjected to external loading, such as transverse forces & 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.

How to calculate Maximum Shear Force given Radius of Circular Section?

The Maximum Shear Force given Radius of Circular Section formula is defined as a measure of the maximum shear force that occurs in a circular section, which is a critical parameter in evaluating the structural integrity of circular beams and shafts under various types of loading conditions is calculated using Shear Force on Beam = Maximum Shear Stress on Beam*3/4*pi*Radius of Circular Section^2. To calculate Maximum Shear Force given Radius of Circular Section, you need Maximum Shear Stress on Beam (𝜏_max) & Radius of Circular Section (r). With our tool, you need to enter the respective value for Maximum Shear Stress on Beam & Radius of Circular Section 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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