1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Deriving expressions for Linear Expansivity and Young's Modulus

  1. Oct 15, 2012 #1
    1. The problem statement, all variables and given/known data
    The equation of state of a system consisting of a cylinder of a certain perfectly elastic material, subjected to an axial load F, is

    F= CT(L-Li)^2

    where Li is the unstretched length, L is the length under a load F when the temperature is T on a selected empirical scale and C is a constant.

    DERIVE EXPRESSIONS FOR THE LINEAR EXPANSIVITY AND YOUNG'S MODULUS OF THE MATERIAL.
    2. Relevant equations

    dW=FdL

    dL=(∂L/∂θ)- F held constant+(∂L/∂F)-θ held constant

    linear expansivity=1/L(∂L/∂θ)- F held constant

    young's modulus= (L/A)(∂F/∂L)-θ held constant

    3. The attempt at a solution

    I am lost. I tried integrating the formula, i tried expanding the equation of state, but all my attempts left me nowhere. I just need the first step because I am lost. Thank you!
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?