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Moment of inertia of rectangle about centroidal axis along y-y parallel to length Solution

STEP 0: Pre-Calculation Summary
Formula Used
area_momentofinertia = Length of rectangle*(Breadth of rectangle^3)/12
I = L*(B^3)/12
This formula uses 2 Variables
Variables Used
Length of rectangle - Length of rectangle is the total distance from one end to other end, length is the longest side of rectangle. (Measured in Meter)
Breadth of rectangle - Breadth of rectangle is the shortest length. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Length of rectangle: 12 Meter --> 12 Meter No Conversion Required
Breadth of rectangle: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = L*(B^3)/12 --> 12*(4^3)/12
Evaluating ... ...
I = 64
STEP 3: Convert Result to Output's Unit
64 Meter⁴ --> No Conversion Required
FINAL ANSWER
64 Meter⁴ <-- Area Moment Of Inertia
(Calculation completed in 00.010 seconds)

7 Area moment of inertia Calculators

Moment of inertia of hollow rectangle about centroidal axis x-x parallel to breadth
area_momentofinertia = ((Breadth of rectangle*Length of rectangle^3)-(Inner breadth of hollow rectangle*Inner length of hollow rectangle^3))/12 Go
Moment of inertia of hollow circle about diametrical axis
area_momentofinertia = (pi/64)*(Outer diameter of circular section^4-Inner Diameter of Circular Section^4) Go
Moment of inertia of rectangle about centroidal axis along x-x parallel to breadth
area_momentofinertia = Breadth of rectangle*(Length of rectangle^3/12) Go
Moment of inertia of rectangle about centroidal axis along y-y parallel to length
area_momentofinertia = Length of rectangle*(Breadth of rectangle^3)/12 Go
Moment of inertia of triangle about centroidal axis x-x parallel to base
area_momentofinertia = (Base of triangle*Height of triangle^3)/36 Go
Moment of inertia of the semicircular section about its base
area_momentofinertia = 0.393*Radius of semi circle^4 Go
Moment of inertia of the semicircular section through center of gravity, parallel to base
area_momentofinertia = 0.11*Radius of semi circle^4 Go

Moment of inertia of rectangle about centroidal axis along y-y parallel to length Formula

area_momentofinertia = Length of rectangle*(Breadth of rectangle^3)/12
I = L*(B^3)/12

What is moment of inertia?

Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation.

How to Calculate Moment of inertia of rectangle about centroidal axis along y-y parallel to length?

Moment of inertia of rectangle about centroidal axis along y-y parallel to length calculator uses area_momentofinertia = Length of rectangle*(Breadth of rectangle^3)/12 to calculate the Area Moment Of Inertia, Moment of inertia of rectangle about centroidal axis along y-y parallel to length formula is defined as the product of length of rectangle and cube of breadth of rectangle divided by 12. Area Moment Of Inertia and is denoted by I symbol.

How to calculate Moment of inertia of rectangle about centroidal axis along y-y parallel to length using this online calculator? To use this online calculator for Moment of inertia of rectangle about centroidal axis along y-y parallel to length, enter Length of rectangle (L) and Breadth of rectangle (B) and hit the calculate button. Here is how the Moment of inertia of rectangle about centroidal axis along y-y parallel to length calculation can be explained with given input values -> 64 = 12*(4^3)/12.

FAQ

What is Moment of inertia of rectangle about centroidal axis along y-y parallel to length?
Moment of inertia of rectangle about centroidal axis along y-y parallel to length formula is defined as the product of length of rectangle and cube of breadth of rectangle divided by 12 and is represented as I = L*(B^3)/12 or area_momentofinertia = Length of rectangle*(Breadth of rectangle^3)/12. Length of rectangle is the total distance from one end to other end, length is the longest side of rectangle and Breadth of rectangle is the shortest length.
How to calculate Moment of inertia of rectangle about centroidal axis along y-y parallel to length?
Moment of inertia of rectangle about centroidal axis along y-y parallel to length formula is defined as the product of length of rectangle and cube of breadth of rectangle divided by 12 is calculated using area_momentofinertia = Length of rectangle*(Breadth of rectangle^3)/12. To calculate Moment of inertia of rectangle about centroidal axis along y-y parallel to length, you need Length of rectangle (L) and Breadth of rectangle (B). With our tool, you need to enter the respective value for Length of rectangle and Breadth of rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Area Moment Of Inertia?
In this formula, Area Moment Of Inertia uses Length of rectangle and Breadth of rectangle. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • area_momentofinertia = (pi/64)*(Outer diameter of circular section^4-Inner Diameter of Circular Section^4)
  • area_momentofinertia = ((Breadth of rectangle*Length of rectangle^3)-(Inner breadth of hollow rectangle*Inner length of hollow rectangle^3))/12
  • area_momentofinertia = Breadth of rectangle*(Length of rectangle^3/12)
  • area_momentofinertia = Length of rectangle*(Breadth of rectangle^3)/12
  • area_momentofinertia = 0.393*Radius of semi circle^4
  • area_momentofinertia = 0.11*Radius of semi circle^4
  • area_momentofinertia = (Base of triangle*Height of triangle^3)/36
Where is the Moment of inertia of rectangle about centroidal axis along y-y parallel to length calculator used?
Among many, Moment of inertia of rectangle about centroidal axis along y-y parallel to length calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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