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Civil Engineering - Bar Question

  1. Aug 31, 2016 #1
    • Member advised to use the homework template for posts in the homework sections of PF.
    Hey everyone,

    I'm at my limits here trying to solve a question, I can't seem to figure out how the lecturer gets the solution to the following problem...

    Can someone please direct me the correct methodology or better yet give me some guidance on what to do? Thank you.

    The Questions and solutions are:
    Axial force at point A (kN, tension positive): 0.688
    Displacement at point A (mm, positive to right): 3.125

    Analyse the statically indeterminate bar illustrated below by integrating the governing differential equation to find the axial force and displacements, applying the boundary conditions appropriately. Find the axial force and the displacement at point A. The cross section of the bar is constant with EA = 10000 kN. a = 2.0 m, b = 1.5 m, c = 2.5 m and d = 2.0 m. w = 4 kN/m, and P = 5 kN. The bar is also subjected to a temperature increase at the time the load is applied. This temperature change varies linearly along the length of the bar and is T1 = 50 °C at the left hand end of the bar and T2 = 90 °C at the right hand end (the coefficient of thermal expansion at = 5.0e-06°C-1). The support indicated undergoes a prescribed displacement of u = 4 mm.

    The diagram can be found here; http://imgur.com/a/8a1oA
     

    Attached Files:

  2. jcsd
  3. Sep 6, 2016 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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