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Moment of Inertia of Longitudinal Stiffeners Formula

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The moment of inertia is the quantity expressed by the body resisting angular acceleration, which is the sum of the product of the mass with its square of the distance from the axis of rotation. Check FAQs

I = D \cdot t^{3} \cdot (2.4 \cdot (\frac{{A o}^{2}}{D^{2}}) - 0.13)

I - Moment of Inertia?D - Clear Distance between Flanges?t - Web Thickness?A_o - Actual Distance between Transverse Stiffeners?

Moment of Inertia of Longitudinal Stiffeners Example

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Here is how the Moment of Inertia of Longitudinal Stiffeners equation looks like with Values.

Here is how the Moment of Inertia of Longitudinal Stiffeners equation looks like with Units.

Here is how the Moment of Inertia of Longitudinal Stiffeners equation looks like.

14640 = 45 \cdot 20^{3} \cdot (2.4 \cdot (\frac{12^{2}}{45^{2}}) - 0.13)

14640mm⁴ = 45mm \cdot {20mm}^{3} \cdot (2.4 \cdot (\frac{{12mm}^{2}}{{45mm}^{2}}) - 0.13)

14640 = 45 \cdot 20^{3} \cdot (2.4 \cdot (\frac{12^{2}}{45^{2}}) - 0.13)

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Moment of Inertia of Longitudinal Stiffeners Solution

Follow our step by step solution on how to calculate Moment of Inertia of Longitudinal Stiffeners?

FIRST Step Consider the formula

I = D \cdot t^{3} \cdot (2.4 \cdot (\frac{{A o}^{2}}{D^{2}}) - 0.13)

Next Step Substitute values of Variables

∴

I = 45mm \cdot {20mm}^{3} \cdot (2.4 \cdot (\frac{{12mm}^{2}}{{45mm}^{2}}) - 0.13)

Next Step Convert Units

∴

I = 0.045m \cdot {0.02m}^{3} \cdot (2.4 \cdot (\frac{{0.012m}^{2}}{{0.045m}^{2}}) - 0.13)

Next Step Prepare to Evaluate

∴

I = 0.045 \cdot {0.02}^{3} \cdot (2.4 \cdot (\frac{{0.012}^{2}}{{0.045}^{2}}) - 0.13)

Next Step Evaluate

∴

I = 1.464E-08m⁴

LAST Step Convert to Output's Unit

∴

I = 14640mm⁴

Moment of Inertia of Longitudinal Stiffeners Formula Elements

Variables

Moment of Inertia

The moment of inertia is the quantity expressed by the body resisting angular acceleration, which is the sum of the product of the mass with its square of the distance from the axis of rotation.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value can be positive or negative.

Formulas to find Moment of Inertia

Clear Distance between Flanges

The clear distance between flanges is the support length of the web of an I-section.

Symbol: D

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Clear Distance between Flanges

Web Thickness

Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.

Symbol: t

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Web Thickness

Actual Distance between Transverse Stiffeners

The actual distance between transverse stiffeners is the distance between which are aligned normal to the span direction of the beam.

Symbol: A_o

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Actual Distance between Transverse Stiffeners

Other formulas in Longitudinal Stiffeners category

Go Web Thickness given Moment of Inertia of Longitudinal Stiffeners

t = {(\frac{I}{D \cdot (2.4 \cdot (\frac{{A o}^{2}}{D^{2}}) - 0.13)})}^{\frac{1}{3}}

How to Evaluate Moment of Inertia of Longitudinal Stiffeners?

Moment of Inertia of Longitudinal Stiffeners evaluator uses Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13) to evaluate the Moment of Inertia, The Moment of Inertia of Longitudinal Stiffeners formula is defined as the second moment of area or moment of the centroid of the area which is placed with the center of gravity of the fastener's h/5 from the toe, or inner face, of the compression flange. Moment of Inertia is denoted by I symbol.

How to evaluate Moment of Inertia of Longitudinal Stiffeners using this online evaluator? To use this online evaluator for Moment of Inertia of Longitudinal Stiffeners, enter Clear Distance between Flanges (D), Web Thickness (t) & Actual Distance between Transverse Stiffeners (A_o) and hit the calculate button.

FAQs on Moment of Inertia of Longitudinal Stiffeners

What is the formula to find Moment of Inertia of Longitudinal Stiffeners?

The formula of Moment of Inertia of Longitudinal Stiffeners is expressed as Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13). Here is an example- 1.5E+16 = 0.045*0.02^3*(2.4*(0.012^2/0.045^2)-0.13).

How to calculate Moment of Inertia of Longitudinal Stiffeners?

With Clear Distance between Flanges (D), Web Thickness (t) & Actual Distance between Transverse Stiffeners (A_o) we can find Moment of Inertia of Longitudinal Stiffeners using the formula - Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13).

Can the Moment of Inertia of Longitudinal Stiffeners be negative?

Yes, the Moment of Inertia of Longitudinal Stiffeners, measured in Second Moment of Area can be negative.

Which unit is used to measure Moment of Inertia of Longitudinal Stiffeners?

Moment of Inertia of Longitudinal Stiffeners 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 Longitudinal Stiffeners can be measured.

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Moment of Inertia of Longitudinal Stiffeners Formula

Moment of Inertia of Longitudinal Stiffeners Example

Moment of Inertia of Longitudinal Stiffeners Solution

Moment of Inertia of Longitudinal Stiffeners Formula Elements

Other formulas in Longitudinal Stiffeners category

How to Evaluate Moment of Inertia of Longitudinal Stiffeners?

FAQs on Moment of Inertia of Longitudinal Stiffeners

Variable Name