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) - The Radius of Circular Section is the distance from center of circle to the the circle.
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 distance of the considered layer from the neutral layer.
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 00.004 seconds)

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3 Radius of Circular Section Calculators

Radius of Circular Section given Maximum Shear Stress
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
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
Go Radius of Circular Section = sqrt((Width of Beam Section/2)^2+Distance from Neutral Axis^2)

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

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, Radius of Circular Section given Width of Beam at Considered Level is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. 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?
Radius of Circular Section given Width of Beam at Considered Level is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length 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 distance of the considered layer from the neutral layer.
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 is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length 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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