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

✖Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle.ⓘ Length of Rectangular Section [L_rect]			+10% -10%
✖Breadth of Rectangular Section is the shortest length.ⓘ Breadth of Rectangular Section [B]			+10% -10%

✖Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration.ⓘ Moment of inertia of rectangle about centroidal axis along y-y parallel to length [J_yy]

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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

Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12
J_yy = L_rect*(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

J_yy = L_rect*(B^3)/12 --> 2.01*(1.99^3)/12

Evaluating ... ...

J_yy = 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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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Moment of Inertia in Solids Calculators

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth

LaTeX 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 rectangle about centroidal axis along x-x parallel to breadth

LaTeX 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

LaTeX 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

LaTeX Go Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36

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

LaTeX Go

Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12
J_yy = L_rect*(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 J_yy 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 (L_rect) & 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 J_yy = L_rect*(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 (L_rect) & 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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