How Is the Centroid of a Composite Area Calculated Incorrectly Here?

In summary, the centroid of a composite area is the point at which the area could be balanced if it were suspended at that point. It is calculated by finding the individual centroids of each component and taking a weighted average. This is important for determining stability and balance in structures, and the centroid can be outside of the area itself. The shape of a composite area also affects its centroid by changing the location of the individual centroids.
  • #1
werson tan
183
1

Homework Statement


As in the photos

Homework Equations

The Attempt at a Solution


my working is
(6.43x10^-3)(310+10) + (11x10^-3)(155) / (6.43x10^-3 +11x10^-3 ) = 215.8 , but the ans is 112 , what's wrong with my working ?
 

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  • #2
All of the Y-bars are measured from the top of the structure. So the position of the vertical I is 10.2+155
 

Related to How Is the Centroid of a Composite Area Calculated Incorrectly Here?

1. What is the centroid of a composite area?

The centroid of a composite area is the point at which the area could be balanced if it were suspended at that point. It is also known as the geometric center or center of gravity.

2. How is the centroid of a composite area calculated?

The centroid of a composite area can be calculated by finding the individual centroids of each component of the composite area and then taking a weighted average based on the area of each component.

3. Why is the centroid of a composite area important?

The centroid of a composite area is important because it is a key factor in determining the stability and balance of structures. It is also used in engineering and design to determine the location of forces and moments on a structure.

4. Can the centroid of a composite area be outside of the area itself?

Yes, the centroid of a composite area can be outside of the area itself. This can occur when the individual components of the composite area have different densities or thicknesses, causing the centroid to shift towards the denser or thicker component.

5. How does the shape of a composite area affect its centroid?

The shape of a composite area affects its centroid by changing the location of the individual centroids of each component and therefore the overall weighted average. For example, a composite area with more weight distributed towards one side will have a centroid closer to that side.

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