Width of Beam at Considered Level given Shear Stress 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%
✖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 Stress in Beam [𝜏_beam]			+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 at Considered Level given Shear Stress for Circular Section [B]

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Width of Beam at Considered Level given Shear Stress for Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Beam Section = (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*Shear Stress in Beam)
B = (F_s*2/3*(r^2-y^2)^(3/2))/(I*𝜏_beam)
This formula uses 6 Variables

Variables Used

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.
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.
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.

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
Shear Stress in Beam: 6 Megapascal --> 6000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (F_s*2/3*(r^2-y^2)^(3/2))/(I*𝜏_beam) --> (4800*2/3*(1.2^2-0.005^2)^(3/2))/(0.00168*6000000)

Evaluating ... ...

B = 0.548557142919147

STEP 3: Convert Result to Output's Unit

0.548557142919147 Meter -->548.557142919147 Millimeter (Check conversion here)

FINAL ANSWER

548.557142919147 ≈ 548.5571 Millimeter <-- Width of Beam Section

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Shear Stress In Beam » Shear Stress Distribution for Different Sections » Shear Stress in Circular Section » Mechanical » Radius of Circular Section » Width of Beam at Considered Level given Shear Stress for Circular Section

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National Institute Of Technology (NIT), Hamirpur

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< Radius of Circular Section Calculators

Radius of Circular Section given Maximum Shear Stress

LaTeX Go Radius of Circular Section = sqrt(4/3*Shear Force on Beam/(pi*Maximum Shear Stress on Beam))

Radius of Circular Section given Average Shear Stress

LaTeX Go Radius of Circular Section = sqrt(Shear Force on Beam/(pi*Average Shear Stress on Beam))

Radius of Circular Section given Width of Beam at Considered Level

LaTeX Go Radius of Circular Section = sqrt((Width of Beam Section/2)^2+Distance from Neutral Axis^2)

Width of Beam at Considered Level given Radius of Circular Section

LaTeX Go Width of Beam Section = 2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2)

Width of Beam at Considered Level given Shear Stress for Circular Section Formula

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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 Width of Beam at Considered Level given Shear Stress for Circular Section?

Width of Beam at Considered Level given Shear Stress for Circular Section calculator uses Width of Beam Section = (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*Shear Stress in Beam) to calculate the Width of Beam Section, The Width of Beam at Considered Level given Shear Stress for Circular Section formula is defined as a measure of the width of a beam at a specific level, considering the shear stress in a circular section, which is essential in structural analysis and design to ensure the beam's stability and safety. Width of Beam Section is denoted by B symbol.

How to calculate Width of Beam at Considered Level given Shear Stress for Circular Section using this online calculator? To use this online calculator for Width of Beam at Considered Level given Shear Stress 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) & Shear Stress in Beam (𝜏_beam) and hit the calculate button. Here is how the Width of Beam at Considered Level given Shear Stress for Circular Section calculation can be explained with given input values -> 548557.1 = (4800*2/3*(1.2^2-0.005^2)^(3/2))/(0.00168*6000000).

FAQ

What is Width of Beam at Considered Level given Shear Stress for Circular Section?

The Width of Beam at Considered Level given Shear Stress for Circular Section formula is defined as a measure of the width of a beam at a specific level, considering the shear stress in a circular section, which is essential in structural analysis and design to ensure the beam's stability and safety and is represented as B = (F_s*2/3*(r^2-y^2)^(3/2))/(I*𝜏_beam) or Width of Beam Section = (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*Shear Stress in Beam). 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 & 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.

How to calculate Width of Beam at Considered Level given Shear Stress for Circular Section?

The Width of Beam at Considered Level given Shear Stress for Circular Section formula is defined as a measure of the width of a beam at a specific level, considering the shear stress in a circular section, which is essential in structural analysis and design to ensure the beam's stability and safety is calculated using Width of Beam Section = (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*Shear Stress in Beam). To calculate Width of Beam at Considered Level given Shear Stress 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) & Shear Stress in Beam (𝜏_beam). 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 & Shear Stress in 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 Width of Beam Section?

In this formula, Width of Beam Section uses Shear Force on Beam, Radius of Circular Section, Distance from Neutral Axis, Moment of Inertia of Area of Section & Shear Stress in Beam. We can use 1 other way(s) to calculate the same, which is/are as follows -

Width of Beam Section = 2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2)

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