Deformation of a dicomponent rod under tension

  • Thread starter member 392791
  • Start date
  • #1
member 392791

Homework Statement





Homework Equations





The Attempt at a Solution


For this problem, my thinking was that since the top of the rod is fixed, then the only part that is elongating is the bottom, so I found the part elongating at AB and said that was the total elongation. I am not sure if this reasoning is sound. I suppose the other possibility would be to add up AB and BC to get the total, but then I don't know what the deformation at point B means. I am interpreting that as the elongation of BC.
 

Attachments

  • 9.16.pdf
    60.2 KB · Views: 121
  • 9.16 attempt 1.pdf
    181.9 KB · Views: 102

Answers and Replies

  • #2
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,990
6,687
Yes, you need to add them for the total deformation, and the deflection of B is the change in length of BC (since C appears to be a fixed point). I haven't checked the arithmetic but your equations look right.
 
  • #3
member 392791
Wouldn't that mean that you need the answer to part b to solve part a? That is why I am confused I think
 
  • #4
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,990
6,687
Wouldn't that mean that you need the answer to part b to solve part a? That is why I am confused I think
Yes, the questions are asked in reverse of the logical order.
 
  • #5
member 392791
Here is my attempt 2. How does it look?
 

Attachments

  • 9.16 attempt 2.pdf
    322.8 KB · Views: 105
  • #6
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,990
6,687
Looks about right.
 

Related Threads on Deformation of a dicomponent rod under tension

  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
6
Views
876
Replies
10
Views
2K
  • Last Post
Replies
4
Views
1K
Replies
32
Views
2K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
13
Views
1K
  • Last Post
Replies
5
Views
4K
Top