Principle Second Moment Of Area - L shape.

In summary, the individual is seeking help with calculating the theoretical principle second moment of area for an L shaped specimen. They have attempted to split the section into two parts and use a Mohr's Circle to convert to Ix and Iy, but are getting a significantly different result from the experimental data. They are asking for assistance in finding where they may have made a mistake.
  • #1
Roomie
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EDIT: I meant to place this in Engineering help. Would a moderator please move it there? Thanks.

Homework Statement


I need to work out the theoretical principle second moment of area for an L shaped specimen I have.

http://dl.dropbox.com/u/630750/Screen%20Shot%202012-01-11%20at%2013.20.50.png

I have attempted this but I'm getting an answer that's way off the experimental data.

http://dl.dropbox.com/u/630750/Screen%20Shot%202012-01-11%20at%2013.11.07.png

I first have to work out IA, IB and IAB for this specimen.

Then convert it to Ix and Iy using a Mohr's circle. (The principle second moments of area)

http://dl.dropbox.com/u/630750/Screen%20Shot%202012-01-11%20at%2013.13.53.png 2. The attempt at a solution

I've made an attempt at this by splitting the L shaped section into 2 parts.

Here is my attempt:
Page 1: http://dl.dropbox.com/u/630750/5.jpeg
Page 2: http://dl.dropbox.com/u/630750/6.jpeg

I then used these on a Mohr's Circle to work out Ix and Iy, and I got those to be Iy = 1.2x10-9 and Ix=1.24x10-9If anyone could check this and see where I've potentially gone wrong I will be hugely grateful.
 
Last edited by a moderator:
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  • #2
Anyone?
 
  • #3
EDIT 2: I've sorted this now. Please Ignore.

Roomie said:
EDIT: I meant to place this in Engineering help. Would a moderator please move it there? Thanks.

Homework Statement


I need to work out the theoretical principle second moment of area for an L shaped specimen I have.

http://dl.dropbox.com/u/630750/Screen%20Shot%202012-01-11%20at%2013.20.50.png

I have attempted this but I'm getting an answer that's way off the experimental data.

http://dl.dropbox.com/u/630750/Screen%20Shot%202012-01-11%20at%2013.11.07.png

I first have to work out IA, IB and IAB for this specimen.

Then convert it to Ix and Iy using a Mohr's circle. (The principle second moments of area)

http://dl.dropbox.com/u/630750/Screen%20Shot%202012-01-11%20at%2013.13.53.png


2. The attempt at a solution

I've made an attempt at this by splitting the L shaped section into 2 parts.

Here is my attempt:
Page 1: http://dl.dropbox.com/u/630750/5.jpeg
Page 2: http://dl.dropbox.com/u/630750/6.jpeg

I then used these on a Mohr's Circle to work out Ix and Iy, and I got those to be Iy = 1.2x10-9 and Ix=1.24x10-9


If anyone could check this and see where I've potentially gone wrong I will be hugely grateful.
 
Last edited by a moderator:

1. What is the principle second moment of area for an L-shaped object?

The principle second moment of area for an L-shaped object is a mathematical property that describes the distribution of an object's mass and its resistance to bending. It is also known as the moment of inertia or the second moment of area.

2. How is the principle second moment of area calculated for an L-shaped object?

The principle second moment of area for an L-shaped object is calculated by multiplying the cross-sectional area of each individual section of the L shape by the square of its distance from the neutral axis, and then summing these values together.

3. Why is the principle second moment of area important for L-shaped objects?

The principle second moment of area is important for L-shaped objects because it determines their resistance to bending and their ability to withstand external forces. It also plays a crucial role in determining the stress and strain distribution within the object.

4. How does the principle second moment of area differ for different orientations of an L-shaped object?

The principle second moment of area depends on the orientation of the L-shaped object. This is because the distance from the neutral axis to each section of the object will change depending on its orientation, which in turn affects the calculation of the moment of inertia.

5. Can the principle second moment of area be used to compare the strength of different L-shaped objects?

Yes, the principle second moment of area can be used to compare the strength of different L-shaped objects. Objects with larger principle second moments of area will have a greater resistance to bending and will be able to withstand higher external forces without deforming. Therefore, a higher principle second moment of area indicates a stronger object.

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