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

✖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%
✖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%

✖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 given Width of Beam at Considered Level [r]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Width of Beam Section: 100 Millimeter --> 0.1 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

r = sqrt((B/2)^2+y^2) --> sqrt((0.1/2)^2+0.005^2)

Evaluating ... ...

r = 0.0502493781056045

STEP 3: Convert Result to Output's Unit

0.0502493781056045 Meter -->50.2493781056044 Millimeter (Check conversion here)

FINAL ANSWER

50.2493781056044 ≈ 50.24938 Millimeter <-- Radius of Circular Section

(Calculation completed in 00.020 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 » Radius of Circular Section given Width of Beam at Considered Level

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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)

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

LaTeX Go

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

Radius of Circular Section given Width of Beam at Considered Level calculator uses Radius of Circular Section = sqrt((Width of Beam Section/2)^2+Distance from Neutral Axis^2) to calculate the Radius of Circular Section, The Radius of Circular Section given Width of Beam at Considered Level formula is defined as a mathematical approach to determine the radius of a circular section at a specific level, considering the width of the beam, which is essential in calculating shear stress in circular sections. Radius of Circular Section is denoted by r symbol.

How to calculate Radius of Circular Section given Width of Beam at Considered Level using this online calculator? To use this online calculator for Radius of Circular Section given Width of Beam at Considered Level, enter Width of Beam Section (B) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Radius of Circular Section given Width of Beam at Considered Level calculation can be explained with given input values -> 50249.38 = sqrt((0.1/2)^2+0.005^2).

FAQ

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

The Radius of Circular Section given Width of Beam at Considered Level formula is defined as a mathematical approach to determine the radius of a circular section at a specific level, considering the width of the beam, which is essential in calculating shear stress in circular sections and is represented as r = sqrt((B/2)^2+y^2) or Radius of Circular Section = sqrt((Width of Beam Section/2)^2+Distance from Neutral Axis^2). Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration & 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 Radius of Circular Section given Width of Beam at Considered Level?

The Radius of Circular Section given Width of Beam at Considered Level formula is defined as a mathematical approach to determine the radius of a circular section at a specific level, considering the width of the beam, which is essential in calculating shear stress in circular sections is calculated using Radius of Circular Section = sqrt((Width of Beam Section/2)^2+Distance from Neutral Axis^2). To calculate Radius of Circular Section given Width of Beam at Considered Level, you need Width of Beam Section (B) & Distance from Neutral Axis (y). With our tool, you need to enter the respective value for Width of Beam 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 Radius of Circular Section?

In this formula, Radius of Circular Section uses Width of Beam Section & Distance from Neutral Axis. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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