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Statics
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Statics
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C4: Centre of Mass, Centroids, Moment of Inertia
4.1 Centre of Mass
- Theory
4.2 Centroids
- Theory - Example - Question 1 - Question 2 - Question 3 - List of centroids for common shapes
4.3 Centroid of Composite Bodies
- Theory - Example - Question 1 - Question 2 - Question 3
4.4 Moment of Inertia
- Theory - Example - Question 1 - Question 2 - List of moment of inertia for common shapes
4.5 Parallel-Axis Theorem
- Theory - Example - Question 1 - Question 2

C4.3 Centroid of Composite Bodies

Often, many bodies with complex geometries can be broken down into simple shapes, of which the centroids are easy to locate. Take a look at the I-section below for example:

Example of complex I-section shape that we can break down into simple shapes

We can get the centroid of the complex composite body by utilising the individual centroids of the simple geometries it is made up of, via the following formula:

C4.3 Centroid of Composite Bodies

Often, many bodies with complex geometries can be broken down into simple shapes, of which the centroids are easy to locate. Take a look at the I-section below for example:

Example of complex I-section shape that we can break down into simple shapes

We can get the centroid of the complex composite body by utilising the individual centroids of the simple geometries it is made up of, via the following formula:

Formula for centroid of composite bodies

Look’s complicated? Don’t worry as we’ll be looking at an example soon. One last thing to note, it is important to set a reference axis for the x̄′ and ȳ′ of the individual simple geometries, for consistency.

Let’s look at an example now.

Formula for centroid of composite bodies

Look’s complicated? Don’t worry as we’ll be looking at an example soon. One last thing to note, it is important to set a reference axis for the x̄′ and ȳ′ of the individual simple geometries, for consistency.

Let’s look at an example now.

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