# Tutorial 4

<br> <h1>Solving linear elasticity problems using CMISS</h1>

<p>This tutorial demonstrates analyses of a few simple structures. This is discussed in Chapter 5 of the <a href="/documentation/course_notes/fembem_notes/" target="new">FEM/BEM Notes</a>.</p>

<h1>Analysis of a bicycle frame using truss elements</h1>

<p>This problem investigates the analysis of a bicycle frame using truss elements. Truss elements can be thought of as one dimensional elements that are pin jointed at both ends. This problem is covered in <a href="http://cmiss.bioeng.auckland.ac.nz/development/examples/4/41/412/index.html" target="new">example_412</a>. The three truss system discussed in section 4.2 of the <a href="/documentation/course_notes/fembem_notes/" target="new">FEM/BEM Notes</a> is covered in <a href="http://cmiss.bioeng.auckland.ac.nz/development/examples/4/41/411/index.html" target="new">example_411</a>.</p>

<h1>Analysis of a steel plate</h1>

<p><a href="http://cmiss.bioeng.auckland.ac.nz/development/examples/4/42/421/index.html" target="new">example_421</a> investigates the loading of a steel plate using plane stress elements.</p>

<h1>Analysis of a plate under uniform normal stress</h1>

<p>This problem investigates a square plate (with sides of length 2) centred at the origin under a uniform tensile stress of in the x-direction and in the y-direction. The plate will be investigated for the two separate cases of plane stress and plane strain. Under plane stress conditions there is zero stress in the third direction (z in this case). Under plane strain there is zero strain in the third direction (z in this case). It is useful to think about plane stress as that occurring in an infinitely thin plate, and plane strain as that occurring in an infinitely thick plate.</p>

<p>Since this problem is symmetric we only need to consider one quarter of the plate (in this case the top right corner). The plane stress version of this problem is covered in <a href="http://cmiss.bioeng.auckland.ac.nz/development/examples/4/42/422/index.html" target="new">example_422</a> and the plane strain version in <a href="http://cmiss.bioeng.auckland.ac.nz/development/examples/4/43/431/index.html" target="new">example_431</a>.</p>

<hr> <p><b><a href="http://cmiss.bioeng.auckland.ac.nz/cgi-bin/lab-question-form.cgi?stage=1&laboratory=4" target="new">Tutorial 4 Quiz</a></b> | Tutorial 3 | Tutorial 5</p> <hr>