Moment of Inertia of Hollow Circular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)
Icircular = pi/64*(do^4-di^4)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.
Outer Diameter of Hollow Circular Section - (Measured in Meter) - Outer Diameter of Hollow Circular Section is the diameter of outer edge of circular hollow shaft.
Inner Diameter of Hollow Circular Section - (Measured in Meter) - Inner Diameter of Hollow Circular Section is the measure of smallest diameter of a 2D concentric circular cross-section.
STEP 1: Convert Input(s) to Base Unit
Outer Diameter of Hollow Circular Section: 240 Millimeter --> 0.24 Meter (Check conversion here)
Inner Diameter of Hollow Circular Section: 15 Millimeter --> 0.015 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Icircular = pi/64*(do^4-di^4) --> pi/64*(0.24^4-0.015^4)
Evaluating ... ...
Icircular = 0.000162857678113218
STEP 3: Convert Result to Output's Unit
0.000162857678113218 Meter⁴ -->162857678.113218 Millimeter⁴ (Check conversion here)
FINAL ANSWER
162857678.113218 1.6E+8 Millimeter⁴ <-- MOI of Area of Circular Section
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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5 Hollow Circular Section Calculators

Inner Diameter of Hollow Circular Section given Section Modulus
Go Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4)
Section Modulus of Hollow Circular Section
Go Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)
Moment of Inertia of Hollow Circular Section
Go MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)
Distance of Outermost Layer from Neutral Axis in Hollow Circular Section
Go Distance b/w Outermost and Neutral Layer = Outer Diameter of Hollow Circular Section/2
Outer Diameter of Hollow Circular Section
Go Outer Diameter of Hollow Circular Section = 2*Distance b/w Outermost and Neutral Layer

Moment of Inertia of Hollow Circular Section Formula

MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)
Icircular = pi/64*(do^4-di^4)

What is a nominal moment?

The nominal or ultimate flexural moment for reinforced concrete beam represents the ultimate moment that a beam can carry. moments generated by service load shall be less than the nominal moment of the beam. At this stage, reinforcing steel assumed to yield. Concrete stress will not vary linearly from the neutral axis.

How to Calculate Moment of Inertia of Hollow Circular Section?

Moment of Inertia of Hollow Circular Section calculator uses MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4) to calculate the MOI of Area of Circular Section, Moment of inertia of Hollow Circular section is defined as a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis. MOI of Area of Circular Section is denoted by Icircular symbol.

How to calculate Moment of Inertia of Hollow Circular Section using this online calculator? To use this online calculator for Moment of Inertia of Hollow Circular Section, enter Outer Diameter of Hollow Circular Section (do) & Inner Diameter of Hollow Circular Section (di) and hit the calculate button. Here is how the Moment of Inertia of Hollow Circular Section calculation can be explained with given input values -> 1.6E+20 = pi/64*(0.24^4-0.015^4).

FAQ

What is Moment of Inertia of Hollow Circular Section?
Moment of inertia of Hollow Circular section is defined as a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis and is represented as Icircular = pi/64*(do^4-di^4) or MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). Outer Diameter of Hollow Circular Section is the diameter of outer edge of circular hollow shaft & Inner Diameter of Hollow Circular Section is the measure of smallest diameter of a 2D concentric circular cross-section.
How to calculate Moment of Inertia of Hollow Circular Section?
Moment of inertia of Hollow Circular section is defined as a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis is calculated using MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). To calculate Moment of Inertia of Hollow Circular Section, you need Outer Diameter of Hollow Circular Section (do) & Inner Diameter of Hollow Circular Section (di). With our tool, you need to enter the respective value for Outer Diameter of Hollow Circular Section & Inner Diameter of Hollow Circular Section 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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