Moment of inertia of triangle about centroidal axis x-x parallel to base Calculator

✖Base of Triangle is one side in a triangle.ⓘ Base of Triangle [b_tri]			+10% -10%
✖The Height of Triangle is the length of the altitude from the opposite vertex to that base.ⓘ Height of Triangle [H_tri]			+10% -10%

✖Moment of Inertia about x-x axis is defined as the quantity expressed by the body resisting angular acceleration.ⓘ Moment of inertia of triangle about centroidal axis x-x parallel to base [J_xx]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Properties of Planes and Solids Formulas PDF PDF Image

Moment of inertia of triangle about centroidal axis x-x parallel to base Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36
J_xx = (b_tri*H_tri^3)/36
This formula uses 3 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.
Base of Triangle - (Measured in Meter) - Base of Triangle is one side in a triangle.
Height of Triangle - (Measured in Meter) - The Height of Triangle is the length of the altitude from the opposite vertex to that base.

STEP 1: Convert Input(s) to Base Unit

Base of Triangle: 2.82 Meter --> 2.82 Meter No Conversion Required
Height of Triangle: 2.43 Meter --> 2.43 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J_xx = (b_tri*H_tri^3)/36 --> (2.82*2.43^3)/36

Evaluating ... ...

J_xx = 1.123997715

STEP 3: Convert Result to Output's Unit

1.123997715 Meter⁴ --> No Conversion Required

FINAL ANSWER

1.123997715 ≈ 1.123998 Meter⁴ <-- Moment of Inertia about x-x axis

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Mechanics » Properties of Planes and Solids » Mechanical » Moment of Inertia in Solids » Moment of inertia of triangle about centroidal axis x-x parallel to base

Credits

Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has verified this Calculator and 200+ more calculators!

< 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 triangle about centroidal axis x-x parallel to base Formula

LaTeX Go

Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36
J_xx = (b_tri*H_tri^3)/36

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 triangle about centroidal axis x-x parallel to base?

Moment of inertia of triangle about centroidal axis x-x parallel to base calculator uses Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36 to calculate the Moment of Inertia about x-x axis, Moment of inertia of triangle about centroidal axis x-x parallel to base formula is defined as the 1/36 times of product of base of triangle and cube of the height of the triangle. Moment of Inertia about x-x axis is denoted by J_xx symbol.

How to calculate Moment of inertia of triangle about centroidal axis x-x parallel to base using this online calculator? To use this online calculator for Moment of inertia of triangle about centroidal axis x-x parallel to base, enter Base of Triangle (b_tri) & Height of Triangle (H_tri) and hit the calculate button. Here is how the Moment of inertia of triangle about centroidal axis x-x parallel to base calculation can be explained with given input values -> 1.123998 = (2.82*2.43^3)/36.

FAQ

What is Moment of inertia of triangle about centroidal axis x-x parallel to base?

Moment of inertia of triangle about centroidal axis x-x parallel to base formula is defined as the 1/36 times of product of base of triangle and cube of the height of the triangle and is represented as J_xx = (b_tri*H_tri^3)/36 or Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36. Base of Triangle is one side in a triangle & The Height of Triangle is the length of the altitude from the opposite vertex to that base.

How to calculate Moment of inertia of triangle about centroidal axis x-x parallel to base?

Moment of inertia of triangle about centroidal axis x-x parallel to base formula is defined as the 1/36 times of product of base of triangle and cube of the height of the triangle is calculated using Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36. To calculate Moment of inertia of triangle about centroidal axis x-x parallel to base, you need Base of Triangle (b_tri) & Height of Triangle (H_tri). With our tool, you need to enter the respective value for Base of Triangle & Height of Triangle 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 Moment of Inertia about x-x axis?

In this formula, Moment of Inertia about x-x axis uses Base of Triangle & Height of Triangle. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search