• Support PF! Buy your school textbooks, materials and every day products Here!

Poisson's ratio

can anybody please tell me how this equation has been arrived?

dA=A(1-m dL/L)^2 -A


where
A=Area of cross section
L=length
 

Answers and Replies

3,761
8
saravanan_n said:
can anybody please tell me how this equation has been arrived?

dA=A(1-m dL/L)^2 -A


where
A=Area of cross section
L=length
Whithin what context did you acquire this equation ?

marlon
 
EnumaElish
Science Advisor
Homework Helper
2,285
123
What is m?

Looks to me it's a formula for calculating the % change in cross-sectional area for a % stretch lengthwise. Cross-section area is a function of the width (or perhaps width x length). But width is compressed as length is stretcehd and that has to be taken into account while calculating the change in area.

Having written all this, I don't get why a squared term is involved, because while the calculation of an area may involve a square, the change in such an area would be linear.

From a Yahoo search on "Poisson's ratio":
http://www.millersv.edu/~jdooley/macro/derive/elas1/poissn/poissn.htm [Broken]
 
Last edited by a moderator:

Related Threads for: Poisson's ratio

  • Last Post
Replies
6
Views
549
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
2
Views
801
  • Last Post
Replies
4
Views
10K
Replies
2
Views
6K
  • Last Post
Replies
1
Views
27K
Replies
1
Views
1K
Replies
3
Views
1K
Top