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%
✖The 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 shorter length of rectangle.ⓘ Inner Length of Hollow Rectangle [L_inner]			+10% -10%
✖Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangle.ⓘ 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]

⎘ Copy

👎

Formula

✖

Moment of Inertia about xx axis for Hollow Rectangular Section

Formula

`"I"_{"xx"} = ("B"_{"outer"}*("L"_{"outer"}^3)/12)-(("L"_{"inner"}^3)*"B"_{"inner"}/12)`

Example

`"4.9E^10mm⁴"=("480mm"*(("1100mm")^3)/12)-((("600mm")^3)*"250mm"/12)`

Calculator

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

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) - The 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 shorter length of rectangle.
Inner Breadth of Hollow Rectangular Section - (Measured in Meter) - Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangle.

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: 1100 Millimeter --> 1.1 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*(1.1^3)/12)-((0.6^3)*0.25/12)

Evaluating ... ...

I_xx = 0.04874

STEP 3: Convert Result to Output's Unit

0.04874 Meter⁴ -->48740000000 Millimeter⁴ (Check conversion here)

FINAL ANSWER

48740000000 ≈ 4.9E+10 Millimeter⁴ <-- Moment of Inertia about x-x axis

(Calculation completed in 00.007 seconds)

You are here -

Home » Physics » Strength of Materials » Direct And Bending Stress » Kernel Of Hollow Rectangular Section » Moment of Inertia about xx axis for Hollow Rectangular Section

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

< 13 Kernel Of Hollow Rectangular Section Calculators

Maximum eccentricity of load about y axis for hollow rectangular section

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

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)))

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section

Go Section Modulus = (((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)

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

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

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)

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis

Go Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3)

Section modulus about x-x axis for hollow rectangular section in terms length and width of section

Go Section Modulus = ((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)

Internal Width of Hollow Rectangular Section given Section Modulus about x-x axis

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

External Width of Hollow Rectangular Section given Section Modulus about x-x axis

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

Moment of Inertia about xx axis for Hollow Rectangular Section

Go 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)

Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia

Go Section Modulus = Moment of Inertia about y-y axis/Distance b/w Outermost and Neutral Layer

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia

Go Section Modulus = Moment of Inertia about x-x axis/Distance b/w Outermost and Neutral Layer

Distance of outermost layer from neutral axis for hollow rectangular section

Go Distance b/w Outermost and Neutral Layer = Outer Length of Hollow Rectangle/2

Moment of Inertia about xx axis for Hollow Rectangular Section Formula

Is bending stress a normal stress?

Bending stress is a more specific type of normal stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo normal tensile stress. It can be concluded therefore that the value of the bending stress will vary linearly with distance from the neutral axis.

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 the quantity expressed by the body resisting angular acceleration. 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*(1.1^3)/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 the quantity expressed by the body resisting angular acceleration 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, The outer length of hollow rectangle is the longest side length of the hollow rectangle, Inner length of hollow rectangle is the shorter length of rectangle & Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangle.

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 the quantity expressed by the body resisting angular acceleration 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.

Home

FREE PDFs

🔍 Search