Area Moment of Considered Area about Neutral Axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
First Moment of Area = 2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2)
Ay = 2/3*(R^2-y^2)^(3/2)
This formula uses 3 Variables
Variables Used
First Moment of Area - (Measured in Cubic Meter) - The First Moment of Area of a shape, about a certain axis, equals the sum over all the infinitesimal parts of the shape of the area of that part times its distance from the axis [Σ(a × d)].
Radius of Circular Section - (Measured in Meter) - The Radius of Circular Section is the distance from center of circle to the the circle.
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
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
Ay = 2/3*(R^2-y^2)^(3/2) --> 2/3*(1.2^2-0.005^2)^(3/2)
Evaluating ... ...
Ay = 1.15197000013021
STEP 3: Convert Result to Output's Unit
1.15197000013021 Cubic Meter -->1151970000.13021 Cubic Millimeter (Check conversion here)
FINAL ANSWER
1151970000.13021 1.2E+9 Cubic Millimeter <-- First Moment of Area
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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4 Moment of Inertia Calculators

Moment of Inertia of Circular Section given Shear Stress
Go Moment of Inertia of Area of Section = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Shear Stress in Beam*Width of Beam Section)
Moment of Inertia of Circular Section given Maximum Shear Stress
Go Moment of Inertia of Area of Section = Shear Force on Beam/(3*Maximum Shear Stress on Beam)*Radius of Circular Section^2
Area Moment of Considered Area about Neutral Axis
Go First Moment of Area = 2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2)
Moment of Inertia of Circular Section
Go Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4

Area Moment of Considered Area about Neutral Axis Formula

First Moment of Area = 2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2)
Ay = 2/3*(R^2-y^2)^(3/2)

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 Area Moment of Considered Area about Neutral Axis?

Area Moment of Considered Area about Neutral Axis calculator uses First Moment of Area = 2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2) to calculate the First Moment of Area, Area Moment of Considered Area about Neutral Axis formula is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis. First Moment of Area is denoted by Ay symbol.

How to calculate Area Moment of Considered Area about Neutral Axis using this online calculator? To use this online calculator for Area Moment of Considered Area about Neutral Axis, enter Radius of Circular Section (R) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Area Moment of Considered Area about Neutral Axis calculation can be explained with given input values -> 1.2E+18 = 2/3*(1.2^2-0.005^2)^(3/2).

FAQ

What is Area Moment of Considered Area about Neutral Axis?
Area Moment of Considered Area about Neutral Axis formula is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis and is represented as Ay = 2/3*(R^2-y^2)^(3/2) or First Moment of Area = 2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2). The Radius of Circular Section is the distance from center of circle to the the circle & Distance from Neutral Axis is the distance of the considered layer from the neutral layer.
How to calculate Area Moment of Considered Area about Neutral Axis?
Area Moment of Considered Area about Neutral Axis formula is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis is calculated using First Moment of Area = 2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2). To calculate Area Moment of Considered Area about Neutral Axis, 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.
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