Principle Second Moment Of Area - L shape.

Click For Summary
SUMMARY

The discussion focuses on calculating the theoretical principle second moment of area for an L-shaped specimen. The user initially attempted to derive the values of IA, IB, and IAB before converting them to Ix and Iy using Mohr's Circle. The calculated values were Iy = 1.2x10-9 and Ix = 1.24x10-9, which were inconsistent with experimental data. The user later resolved the issue independently and requested to disregard the inquiry.

PREREQUISITES
  • Understanding of the principle second moment of area
  • Familiarity with Mohr's Circle for stress analysis
  • Basic knowledge of L-shaped cross-section properties
  • Experience with structural engineering calculations
NEXT STEPS
  • Study the derivation of the second moment of area for complex shapes
  • Learn advanced applications of Mohr's Circle in engineering
  • Explore software tools for structural analysis, such as AutoCAD or SolidWorks
  • Review experimental methods for validating theoretical calculations in structural engineering
USEFUL FOR

Engineering students, structural engineers, and professionals involved in material analysis and design who require a deeper understanding of the second moment of area calculations.

Roomie
Messages
29
Reaction score
0
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:
Physics news on Phys.org
Anyone?
 
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:

Similar threads

  • · Replies 9 ·
Replies
9
Views
28K
  • · Replies 4 ·
Replies
4
Views
12K
Replies
6
Views
5K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
4
Views
10K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
12K
  • · Replies 3 ·
Replies
3
Views
12K
Replies
3
Views
3K