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Moment of Inertia of Hollow Circular Section Formula

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MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis. Check FAQs

I circular = \frac{π}{64} \cdot ({d o}^{4} - {d i}^{4})

I_circular - MOI of Area of Circular Section?d_o - Outer Diameter of Hollow Circular Section?d_i - Inner Diameter of Hollow Circular Section?π - Archimedes' constant?

Moment of Inertia of Hollow Circular Section Example

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Here is how the Moment of Inertia of Hollow Circular Section equation looks like with Values.

Here is how the Moment of Inertia of Hollow Circular Section equation looks like with Units.

Here is how the Moment of Inertia of Hollow Circular Section equation looks like.

1.6E+8 = \frac{3.1416}{64} \cdot (240^{4} - 15^{4})

1.6E+8mm⁴ = \frac{3.1416}{64} \cdot ({240mm}^{4} - {15mm}^{4})

1.6E+8 = \frac{3.1416}{64} \cdot (240^{4} - 15^{4})

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Moment of Inertia of Hollow Circular Section Solution

Follow our step by step solution on how to calculate Moment of Inertia of Hollow Circular Section?

FIRST Step Consider the formula

I circular = \frac{π}{64} \cdot ({d o}^{4} - {d i}^{4})

Next Step Substitute values of Variables

∴

I circular = \frac{π}{64} \cdot ({240mm}^{4} - {15mm}^{4})

Next Step Substitute values of Constants

∴

I circular = \frac{3.1416}{64} \cdot ({240mm}^{4} - {15mm}^{4})

Next Step Convert Units

∴

I circular = \frac{3.1416}{64} \cdot ({0.24m}^{4} - {0.015m}^{4})

Next Step Prepare to Evaluate

∴

I circular = \frac{3.1416}{64} \cdot ({0.24}^{4} - {0.015}^{4})

Next Step Evaluate

∴

I circular = 0.000162857678113218m⁴

Next Step Convert to Output's Unit

∴

I circular = 162857678.113218mm⁴

LAST Step Rounding Answer

∴

I circular = 1.6E+8mm⁴

Moment of Inertia of Hollow Circular Section Formula Elements

Variables

Constants

MOI of Area of Circular Section

MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.

Symbol: I_circular

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find MOI of Area of Circular Section

Outer Diameter of Hollow Circular Section

Outer Diameter of Hollow Circular Section is the measurement of the total width of the circular section from one outside edge to the opposite outside edge, passing through the center.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Hollow Circular Section

Inner Diameter of Hollow Circular Section

Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Hollow Circular Section

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Hollow Circular Section category

Go Inner Diameter of Hollow Circular Section given Section Modulus

d i = {({d o}^{4} - \frac{32 \cdot d o \cdot Z}{π})}^{\frac{1}{4}}

Go Section Modulus of Hollow Circular Section

Z = \frac{π}{32 \cdot d o} \cdot ({d o}^{4} - {d i}^{4})

Go Outer Diameter of Hollow Circular Section

d o = 2 \cdot Y max

Go Distance of Outermost Layer from Neutral Axis in Hollow Circular Section

Y max = \frac{d o}{2}

How to Evaluate Moment of Inertia of Hollow Circular Section?

Moment of Inertia of Hollow Circular Section evaluator uses MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4) to evaluate the MOI of Area of Circular Section, The Moment of Inertia of Hollow Circular Section formula is defined as a measure of the resistance of a hollow circular section to bending or torsion, which is a critical parameter in the design and analysis of beams and other structural elements subjected to external loads. MOI of Area of Circular Section is denoted by I_circular symbol.

How to evaluate Moment of Inertia of Hollow Circular Section using this online evaluator? To use this online evaluator for Moment of Inertia of Hollow Circular Section, enter Outer Diameter of Hollow Circular Section (d_o) & Inner Diameter of Hollow Circular Section (d_i) and hit the calculate button.

FAQs on Moment of Inertia of Hollow Circular Section

What is the formula to find Moment of Inertia of Hollow Circular Section?

The formula of Moment of Inertia of Hollow Circular Section is expressed as MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). Here is an example- 1.6E+20 = pi/64*(0.24^4-0.015^4).

How to calculate Moment of Inertia of Hollow Circular Section?

With Outer Diameter of Hollow Circular Section (d_o) & Inner Diameter of Hollow Circular Section (d_i) we can find Moment of Inertia of Hollow Circular Section using the formula - MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). This formula also uses Archimedes' constant .

Can the Moment of Inertia of Hollow Circular Section be negative?

No, the Moment of Inertia of Hollow Circular Section, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Hollow Circular Section?

Moment of Inertia of Hollow Circular Section is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia of Hollow Circular Section can be measured.

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Moment of Inertia of Hollow Circular Section Formula

Moment of Inertia of Hollow Circular Section Example

Moment of Inertia of Hollow Circular Section Solution

Moment of Inertia of Hollow Circular Section Formula Elements

Other formulas in Hollow Circular Section category

How to Evaluate Moment of Inertia of Hollow Circular Section?

FAQs on Moment of Inertia of Hollow Circular Section

Variable Name