Width of Beam at Considered Level given Radius of Circular Section Calculator

✖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%

✖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 Radius of Circular Section [B]

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Width of Beam at Considered Level given Radius of Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Beam Section = 2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2)
B = 2*sqrt(r^2-y^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Section: 1200 Millimeter --> 1.2 Meter (Check conversion here)
Distance from Neutral Axis: 5 Millimeter --> 0.005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = 2*sqrt(r^2-y^2) --> 2*sqrt(1.2^2-0.005^2)

Evaluating ... ...

B = 2.39997916657624

STEP 3: Convert Result to Output's Unit

2.39997916657624 Meter -->2399.97916657624 Millimeter (Check conversion here)

FINAL ANSWER

2399.97916657624 ≈ 2399.979 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 Radius of Circular Section

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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 Radius of Circular Section Formula

LaTeX Go

Width of Beam Section = 2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2)
B = 2*sqrt(r^2-y^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 Width of Beam at Considered Level given Radius of Circular Section?

Width of Beam at Considered Level given Radius of Circular Section calculator uses Width of Beam Section = 2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2) to calculate the Width of Beam Section, The Width of Beam at Considered Level given Radius of Circular Section formula is defined as the maximum horizontal distance of a circular section at a specific point, typically used in the context of shear stress analysis to determine the beam's width at a particular level. Width of Beam Section is denoted by B symbol.

How to calculate Width of Beam at Considered Level given Radius of Circular Section using this online calculator? To use this online calculator for Width of Beam at Considered Level given Radius of Circular Section, enter Radius of Circular Section (r) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Width of Beam at Considered Level given Radius of Circular Section calculation can be explained with given input values -> 2.4E+6 = 2*sqrt(1.2^2-0.005^2).

FAQ

What is Width of Beam at Considered Level given Radius of Circular Section?

The Width of Beam at Considered Level given Radius of Circular Section formula is defined as the maximum horizontal distance of a circular section at a specific point, typically used in the context of shear stress analysis to determine the beam's width at a particular level and is represented as B = 2*sqrt(r^2-y^2) or Width of Beam Section = 2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2). 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.

How to calculate Width of Beam at Considered Level given Radius of Circular Section?

The Width of Beam at Considered Level given Radius of Circular Section formula is defined as the maximum horizontal distance of a circular section at a specific point, typically used in the context of shear stress analysis to determine the beam's width at a particular level is calculated using Width of Beam Section = 2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2). To calculate Width of Beam at Considered Level given Radius of Circular Section, you need Radius of Circular Section (r) & Distance from Neutral Axis (y). With our tool, you need to enter the respective value for Radius of Circular Section & Distance from Neutral Axis 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 Radius of Circular Section & Distance from Neutral Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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