Moment of Inertia about xx axis for Hollow Rectangular Section Calculator

✖Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.ⓘ Outer Breadth of Hollow Rectangular Section [B_outer]			+10% -10%
✖Outer Length of Hollow Rectangle is the longest side length of the hollow rectangle.ⓘ Outer Length of Hollow Rectangle [L_outer]			+10% -10%
✖Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior.ⓘ Inner Length of Hollow Rectangle [L_inner]			+10% -10%
✖Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.ⓘ Inner Breadth of Hollow Rectangular Section [B_inner]			+10% -10%

✖Moment of Inertia about X-X Axis is defined as the quantity expressed by the body resisting angular acceleration.ⓘ Moment of Inertia about xx axis for Hollow Rectangular Section [I_xx]

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-4437530083.2103 : Output for this calculator is usually positive! Please check the input.

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Moment of Inertia about xx axis for Hollow Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia about X-X Axis = (Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3)/12)-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section/12)
I_xx = (B_outer*(L_outer^3)/12)-((L_inner^3)*B_inner/12)
This formula uses 5 Variables

Variables Used

Moment of Inertia about X-X Axis - (Measured in Meter⁴) - Moment of Inertia about X-X Axis is defined as the quantity expressed by the body resisting angular acceleration.
Outer Breadth of Hollow Rectangular Section - (Measured in Meter) - Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.
Outer Length of Hollow Rectangle - (Measured in Meter) - Outer Length of Hollow Rectangle is the longest side length of the hollow rectangle.
Inner Length of Hollow Rectangle - (Measured in Meter) - Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior.
Inner Breadth of Hollow Rectangular Section - (Measured in Meter) - Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.

STEP 1: Convert Input(s) to Base Unit

Outer Breadth of Hollow Rectangular Section: 480 Millimeter --> 0.48 Meter (Check conversion here)
Outer Length of Hollow Rectangle: 116.0211 Millimeter --> 0.1160211 Meter (Check conversion here)
Inner Length of Hollow Rectangle: 600 Millimeter --> 0.6 Meter (Check conversion here)
Inner Breadth of Hollow Rectangular Section: 250 Millimeter --> 0.25 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_xx = (B_outer*(L_outer^3)/12)-((L_inner^3)*B_inner/12) --> (0.48*(0.1160211^3)/12)-((0.6^3)*0.25/12)

Evaluating ... ...

I_xx = -0.0044375300832103

STEP 3: Convert Result to Output's Unit

-0.0044375300832103 Meter⁴ -->-4437530083.2103 Millimeter⁴ (Check conversion here)

FINAL ANSWER

-4437530083.2103 Millimeter⁴ <-- Moment of Inertia about X-X Axis

(Calculation completed in 00.004 seconds)

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< Kernel of Hollow Rectangular Section Calculators

Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section

LaTeX Go Eccentricity of Load about Y-Y Axis = (((Outer Breadth of Hollow Rectangular Section^3)*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section^3)))/(6*Outer Breadth of Hollow Rectangular Section*(((Outer Breadth of Hollow Rectangular Section)*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section))))

Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section

LaTeX Go Eccentricity of Load about X-X Axis = ((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section))/(6*Outer Length of Hollow Rectangle*((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*Inner Breadth of Hollow Rectangular Section)))

Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis

LaTeX Go Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section^3)*(Outer Length of Hollow Rectangle))-(6*Section Modulus*Outer Breadth of Hollow Rectangular Section))/(Inner Breadth of Hollow Rectangular Section^3)

External Length of hollow Rectangular Section using Section Modulus about y-y axis

LaTeX Go Outer Length of Hollow Rectangle = ((6*Section Modulus*Outer Breadth of Hollow Rectangular Section)+((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section^3)))/(Outer Breadth of Hollow Rectangular Section^3)

Moment of Inertia about xx axis for Hollow Rectangular Section Formula

LaTeX Go

What is Moment of Inertia?

The Moment of Inertia (I), also known as the second moment of area, is a geometric property of a cross-section that quantifies its resistance to bending and torsion. It plays a crucial role in structural and mechanical engineering, particularly in analyzing beams and other load-bearing structures.

How to Calculate Moment of Inertia about xx axis for Hollow Rectangular Section?

Moment of Inertia about xx axis for Hollow Rectangular Section calculator uses Moment of Inertia about X-X Axis = (Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3)/12)-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section/12) to calculate the Moment of Inertia about X-X Axis, The Moment of Inertia about xx axis for Hollow Rectangular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, providing a way to quantify the distribution of mass in a hollow rectangular section around the xx axis. Moment of Inertia about X-X Axis is denoted by I_xx symbol.

How to calculate Moment of Inertia about xx axis for Hollow Rectangular Section using this online calculator? To use this online calculator for Moment of Inertia about xx axis for Hollow Rectangular Section, enter Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Length of Hollow Rectangle (L_inner) & Inner Breadth of Hollow Rectangular Section (B_inner) and hit the calculate button. Here is how the Moment of Inertia about xx axis for Hollow Rectangular Section calculation can be explained with given input values -> 4.9E+22 = (0.48*(0.1160211^3)/12)-((0.6^3)*0.25/12).

FAQ

What is Moment of Inertia about xx axis for Hollow Rectangular Section?

The Moment of Inertia about xx axis for Hollow Rectangular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, providing a way to quantify the distribution of mass in a hollow rectangular section around the xx axis and is represented as I_xx = (B_outer*(L_outer^3)/12)-((L_inner^3)*B_inner/12) or Moment of Inertia about X-X Axis = (Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3)/12)-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section/12). Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section, Outer Length of Hollow Rectangle is the longest side length of the hollow rectangle, Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior & Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.

How to calculate Moment of Inertia about xx axis for Hollow Rectangular Section?

The Moment of Inertia about xx axis for Hollow Rectangular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, providing a way to quantify the distribution of mass in a hollow rectangular section around the xx axis is calculated using Moment of Inertia about X-X Axis = (Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3)/12)-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section/12). To calculate Moment of Inertia about xx axis for Hollow Rectangular Section, you need Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Length of Hollow Rectangle (L_inner) & Inner Breadth of Hollow Rectangular Section (B_inner). With our tool, you need to enter the respective value for Outer Breadth of Hollow Rectangular Section, Outer Length of Hollow Rectangle, Inner Length of Hollow Rectangle & Inner Breadth of Hollow Rectangular 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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