Maximum Shear Stress given Radius of Circular Section Calculator

✖Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force on Beam [F_s]			+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 Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Maximum Shear Stress given Radius of Circular Section [𝜏_beam]

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Maximum Shear Stress given Radius of Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Beam = 4/3*Shear Force on Beam/(pi*Radius of Circular Section^2)
𝜏_beam = 4/3*F_s/(pi*r^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shear Stress in Beam - (Measured in Pascal) - Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
Radius of Circular Section: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_beam = 4/3*F_s/(pi*r^2) --> 4/3*4800/(pi*1.2^2)

Evaluating ... ...

𝜏_beam = 1414.71060526129

STEP 3: Convert Result to Output's Unit

1414.71060526129 Pascal -->0.00141471060526129 Megapascal (Check conversion here)

FINAL ANSWER

0.00141471060526129 ≈ 0.001415 Megapascal <-- Shear Stress in 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 Stress given Radius of Circular Section Formula

LaTeX Go

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

What is Shear Stress and Strain?

When a force acts parallel to the surface of an object, it exerts 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 Stress given Radius of Circular Section?

Maximum Shear Stress given Radius of Circular Section calculator uses Shear Stress in Beam = 4/3*Shear Force on Beam/(pi*Radius of Circular Section^2) to calculate the Shear Stress in Beam, The Maximum Shear Stress given Radius of Circular Section formula is defined as a measure of the maximum shear stress that occurs in a circular section of a beam, which is a critical parameter in the design of beams and shafts to resist failure due to shear forces. Shear Stress in Beam is denoted by 𝜏_beam symbol.

How to calculate Maximum Shear Stress given Radius of Circular Section using this online calculator? To use this online calculator for Maximum Shear Stress given Radius of Circular Section, enter Shear Force on Beam (F_s) & Radius of Circular Section (r) and hit the calculate button. Here is how the Maximum Shear Stress given Radius of Circular Section calculation can be explained with given input values -> 1.4E-9 = 4/3*4800/(pi*1.2^2).

FAQ

What is Maximum Shear Stress given Radius of Circular Section?

The Maximum Shear Stress given Radius of Circular Section formula is defined as a measure of the maximum shear stress that occurs in a circular section of a beam, which is a critical parameter in the design of beams and shafts to resist failure due to shear forces and is represented as 𝜏_beam = 4/3*F_s/(pi*r^2) or Shear Stress in Beam = 4/3*Shear Force on Beam/(pi*Radius of Circular Section^2). Shear Force on Beam is the force which causes shear deformation to occur in the shear plane & 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 Stress given Radius of Circular Section?

The Maximum Shear Stress given Radius of Circular Section formula is defined as a measure of the maximum shear stress that occurs in a circular section of a beam, which is a critical parameter in the design of beams and shafts to resist failure due to shear forces is calculated using Shear Stress in Beam = 4/3*Shear Force on Beam/(pi*Radius of Circular Section^2). To calculate Maximum Shear Stress given Radius of Circular Section, you need Shear Force on Beam (F_s) & Radius of Circular Section (r). With our tool, you need to enter the respective value for Shear Force 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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