# Where does the ##Y_{C}## measurement go in this I section?

• Benjamin_harsh
In summary, the moment of inertia of the I section needs to be calculated about the centriodal axis, with a Yc measurement of 108.4. The d values at the X axis are taken as 0 and the diagram does not provide the relative x displacements of the three shapes, suggesting that their centers are all on the Y axis.
Benjamin_harsh
Homework Statement
calculate the moment of inertia of this I section about centriodal
axis (##Y_{C}## = 108.4)
Relevant Equations
##Y_{C}## = 108.4
calculate the moment of inertia of this I section about centriodal axis (##Y_{c}## = 108.4)

Where does ##Y_{C}## measurement goes in this I section?

calculate the moment of inertia of this I section about centriodal axis (##Y_{C}##= 108.4)

We can see d values at X axis is taken as 0.

How ##X_{C} = 0## in this diagram?

Benjamin_harsh said:
calculate the moment of inertia of this I section about centriodal axis (##Y_{C}##= 108.4)

View attachment 245324

View attachment 245325

We can see d values at X axis is taken as 0.

How ##X_{C} = 0## in this diagram?
The diagram does not supply the relative x displacements of the three shapes. It looks as though you are meant to take them as all having their centres on the Y axis, despite appearances.

## 1. Where does the ##Y_{C}## measurement go in this I section?

The ##Y_{C}## measurement is typically placed at the centroid of the I section. This is the point where the section's geometric properties are evenly distributed, making it the most stable location for the measurement.

## 2. How is the ##Y_{C}## measurement calculated for an I section?

The ##Y_{C}## measurement can be calculated by dividing the moment of inertia of the I section about the x-axis by the area of the section. This gives the distance from the centroid to the neutral axis, which is the ##Y_{C}## measurement.

## 3. Why is the ##Y_{C}## measurement important in structural design?

The ##Y_{C}## measurement is important in structural design because it helps determine the location of the neutral axis, which is the point where bending stresses are minimal in a section. This information is crucial in designing structures that can withstand different loads and forces.

## 4. Can the ##Y_{C}## measurement vary for different I sections?

Yes, the ##Y_{C}## measurement can vary for different I sections. This is because the geometric properties of the sections, such as the area and moment of inertia, can differ, resulting in a different distance from the centroid to the neutral axis.

## 5. What happens if the ##Y_{C}## measurement is not accurately placed in an I section?

If the ##Y_{C}## measurement is not accurately placed in an I section, it can result in incorrect calculations for bending stresses and deflections. This can lead to structural failure, as the section may not be able to withstand the intended loads and forces. It is important to ensure proper placement of the measurement for accurate design and analysis.

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