Shear Stress Distribution for 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%
✖Distance from Neutral Axis is the perpendicular distance from a point in an element to the neutral axis, it is the line where element experiences no stress when the beam is subjected to bending.ⓘ Distance from Neutral Axis [y]			+10% -10%
✖Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis.ⓘ Moment of Inertia of Area of Section [I]			+10% -10%
✖Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Beam Section [B]			+10% -10%

✖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.ⓘ Shear Stress Distribution for Circular Section [𝜏_max]

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Shear Stress Distribution for Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress on Beam = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Width of Beam Section)
𝜏_max = (F_s*2/3*(r^2-y^2)^(3/2))/(I*B)
This formula uses 6 Variables

Variables Used

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.
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.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is the perpendicular distance from a point in an element to the neutral axis, it is the line where element experiences no stress when the beam is subjected to bending.
Moment of Inertia of Area of Section - (Measured in Meter⁴) - Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis.
Width of Beam Section - (Measured in Meter) - Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.

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)
Distance from Neutral Axis: 5 Millimeter --> 0.005 Meter (Check conversion here)
Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Width of Beam Section: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_max = (F_s*2/3*(r^2-y^2)^(3/2))/(I*B) --> (4800*2/3*(1.2^2-0.005^2)^(3/2))/(0.00168*0.1)

Evaluating ... ...

𝜏_max = 32913428.5751488

STEP 3: Convert Result to Output's Unit

32913428.5751488 Pascal -->32.9134285751488 Megapascal (Check conversion here)

FINAL ANSWER

32.9134285751488 ≈ 32.91343 Megapascal <-- Maximum Shear Stress on Beam

(Calculation completed in 00.020 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

Shear Stress Distribution for Circular Section Formula

LaTeX Go

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 Shear Stress Distribution for Circular Section?

Shear Stress Distribution for Circular Section calculator uses Maximum Shear Stress on Beam = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Width of Beam Section) to calculate the Maximum Shear Stress on Beam, The Shear Stress Distribution for Circular Section formula is defined as a measure of the maximum shear stress occurring at a given point in a circular section, typically in a beam or shaft, which is essential in mechanical engineering to determine the structural integrity and potential failure points of a circular cross-section under various loads. Maximum Shear Stress on Beam is denoted by 𝜏_max symbol.

How to calculate Shear Stress Distribution for Circular Section using this online calculator? To use this online calculator for Shear Stress Distribution for Circular Section, enter Shear Force on Beam (F_s), Radius of Circular Section (r), Distance from Neutral Axis (y), Moment of Inertia of Area of Section (I) & Width of Beam Section (B) and hit the calculate button. Here is how the Shear Stress Distribution for Circular Section calculation can be explained with given input values -> 3.3E-5 = (4800*2/3*(1.2^2-0.005^2)^(3/2))/(0.00168*0.1).

FAQ

What is Shear Stress Distribution for Circular Section?

The Shear Stress Distribution for Circular Section formula is defined as a measure of the maximum shear stress occurring at a given point in a circular section, typically in a beam or shaft, which is essential in mechanical engineering to determine the structural integrity and potential failure points of a circular cross-section under various loads and is represented as 𝜏_max = (F_s*2/3*(r^2-y^2)^(3/2))/(I*B) or Maximum Shear Stress on Beam = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Width of Beam Section). 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, Distance from Neutral Axis is the perpendicular distance from a point in an element to the neutral axis, it is the line where element experiences no stress when the beam is subjected to bending, Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis & Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.

How to calculate Shear Stress Distribution for Circular Section?

The Shear Stress Distribution for Circular Section formula is defined as a measure of the maximum shear stress occurring at a given point in a circular section, typically in a beam or shaft, which is essential in mechanical engineering to determine the structural integrity and potential failure points of a circular cross-section under various loads is calculated using Maximum Shear Stress on Beam = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Width of Beam Section). To calculate Shear Stress Distribution for Circular Section, you need Shear Force on Beam (F_s), Radius of Circular Section (r), Distance from Neutral Axis (y), Moment of Inertia of Area of Section (I) & Width of Beam Section (B). With our tool, you need to enter the respective value for Shear Force on Beam, Radius of Circular Section, Distance from Neutral Axis, Moment of Inertia of Area of Section & Width of Beam 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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