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

STEP 0: Pre-Calculation Summary
Formula Used
Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12
Jyy = Lrect*(B^3)/12
This formula uses 3 Variables
Variables Used
Moment of Inertia about y-y axis - (Measured in Meter⁴) - Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration.
Length of Rectangular Section - (Measured in Meter) - Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle.
Breadth of Rectangular Section - (Measured in Meter) - Breadth of Rectangular Section is the shortest length.
STEP 1: Convert Input(s) to Base Unit
Length of Rectangular Section: 2.01 Meter --> 2.01 Meter No Conversion Required
Breadth of Rectangular Section: 1.99 Meter --> 1.99 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Jyy = Lrect*(B^3)/12 --> 2.01*(1.99^3)/12
Evaluating ... ...
Jyy = 1.3200003325
STEP 3: Convert Result to Output's Unit
1.3200003325 Meter⁴ --> No Conversion Required
FINAL ANSWER
1.3200003325 1.32 Meter⁴ <-- Moment of Inertia about y-y axis
(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad
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7 Moment of Inertia in Solids Calculators

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth
Go Moment of Inertia about x-x axis = ((Breadth of Rectangular Section*Length of Rectangular Section^3)-(Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3))/12
Moment of inertia of hollow circle about diametrical axis
Go Moment of Inertia for Solids = (pi/64)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)
Moment of inertia of rectangle about centroidal axis along x-x parallel to breadth
Go Moment of Inertia about x-x axis = Breadth of Rectangular Section*(Length of Rectangular Section^3/12)
Moment of inertia of rectangle about centroidal axis along y-y parallel to length
Go Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12
Moment of inertia of triangle about centroidal axis x-x parallel to base
Go Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36
Moment of inertia of semicircular section about its base
Go Moment of Inertia for Solids = 0.393*Radius of semi circle^4
Moment of inertia of semicircular section through center of gravity, parallel to base
Go Moment of Inertia for Solids = 0.11*Radius of semi circle^4

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

Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12
Jyy = Lrect*(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 Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12 to calculate the Moment of Inertia about y-y axis, 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. Moment of Inertia about y-y axis is denoted by Jyy 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 Rectangular Section (Lrect) & Breadth of Rectangular Section (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 -> 1.32 = 2.01*(1.99^3)/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 Jyy = Lrect*(B^3)/12 or Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12. Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle & Breadth of Rectangular Section 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 Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12. To calculate Moment of inertia of rectangle about centroidal axis along y-y parallel to length, you need Length of Rectangular Section (Lrect) & Breadth of Rectangular Section (B). With our tool, you need to enter the respective value for Length of Rectangular Section & Breadth of 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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