Area Moment of Considered Area about Neutral Axis 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%

✖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)].ⓘ Area Moment of Considered Area about Neutral Axis [A_y]

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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)
A_y = 2/3*(r^2-y^2)^(3/2)
This formula uses 3 Variables

Variables Used

First Moment of Area - (Measured in Cubic Meter) - 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) - 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

A_y = 2/3*(r^2-y^2)^(3/2) --> 2/3*(1.2^2-0.005^2)^(3/2)

Evaluating ... ...

A_y = 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 00.007 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Moment of Inertia Calculators

Moment of Inertia of Circular Section given Shear Stress

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4

Area Moment of Considered Area about Neutral Axis Formula

LaTeX Go

First Moment of Area = 2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2)
A_y = 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, The Area Moment of Considered Area about Neutral Axis formula is defined as a measure of the distribution of area around the neutral axis of a circular section, providing a way to quantify the resistance of the section to shear stress. First Moment of Area is denoted by A_y 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?

The Area Moment of Considered Area about Neutral Axis formula is defined as a measure of the distribution of area around the neutral axis of a circular section, providing a way to quantify the resistance of the section to shear stress and is represented as A_y = 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). 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 Area Moment of Considered Area about Neutral Axis?

The Area Moment of Considered Area about Neutral Axis formula is defined as a measure of the distribution of area around the neutral axis of a circular section, providing a way to quantify the resistance of the section to shear stress 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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