Rod deformation with two materials in series

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 2K views
Mark Nussbaum

Homework Statement


upload_2017-12-10_16-36-56.png

upload_2017-12-10_16-37-35.png


Homework Equations


deformation=(force*length)/(elastic moduli*area)

The Attempt at a Solution


upload_2017-12-10_16-30-26.png

and
upload_2017-12-10_16-35-40.png

since most of the variable are constants it seemed like a simple plug in problem, however it seems that my use of the forces is incorrect. unfortunately we had no examples for this chapter in class and what is in the textbook has not helped me so far. the above is both equations for deformation of each rod summed together top rod first then bottom.
 

Attachments

  • upload_2017-12-10_16-29-23.png
    upload_2017-12-10_16-29-23.png
    14 KB · Views: 578
  • upload_2017-12-10_16-30-26.png
    upload_2017-12-10_16-30-26.png
    2.5 KB · Views: 966
  • upload_2017-12-10_16-35-40.png
    upload_2017-12-10_16-35-40.png
    2.4 KB · Views: 460
  • upload_2017-12-10_16-36-56.png
    upload_2017-12-10_16-36-56.png
    9 KB · Views: 800
  • upload_2017-12-10_16-37-9.png
    upload_2017-12-10_16-37-9.png
    9 KB · Views: 595
  • upload_2017-12-10_16-37-35.png
    upload_2017-12-10_16-37-35.png
    10.7 KB · Views: 917
Physics news on Phys.org
From an overall force balance, what is the reaction force at A? What is the tension in AB? What is the tension in BC?