ME 7120 Homework

Homework assignments are listed by assignment week and due date. Assignments may change up to 1 week before the due date. Do not print this out!

Week 1 (Sept. 2- 9/2):

  • 1.3: 1, 2, 3, 4

  • 1.4: 1, 2, 5

  • What do “exact” nodal values really mean?

  • What complaint do senior engineers have about modern novice engineers using FEA?

  • FEA gained respectability in academia when it was recognized as a special case of what method?

  • Programming task: Learn Matlab well enough to perform the following. You need not turn it in. (if you can’t do this, see me) Write a function file (no prompts) that returns a list (vector/array) of prime numbers. Inputs to the function are: low bound in returned numbers, high bound on returned numbers, and a list of numbers that should be excluded if they happen to be prime numbers.

  • Programming task: For the preceding result, plot the cumulative value (y axis) versus the returned vector.

Week 2 (due 9/9):

  • Rotate the mass matrix of the planar beam/rod element by \(45^\circ\).

  • Determine the 3D (unrotated) beam+beam+rod+torsion rod stiffness and mass matrix.

  • Find the rigid body modes of a standard Euler-Bernoulli beam element. They are the eigenvectors corresponding to the zero eigenvalues. Sketch all coordinates (rotation and displacement of nodes, and the connecting deflection between the nodes) and explain them.

  • 2.2: 3

  • 2.3: 4, 6

  • 2.4: 1, 2

Week 3 (due 9/16):

Week 4 (due 9/23):

Week 5 (due 9/30): - 2.4: 2, but using rotation matrices - 2.5: 2, 3 - 2.6: 3, 4 - 2.8: 3 - All of chapter 2 should be read and understood by now. - Run 4 cases(examples) using the beam3example element and compare to closed-form solutions to partially validate the element/code. - Rotate the mass matrix of the rod-beam element \(45^\circ\). Presume a length of 1.

Week 6 (due 10/7): - 3.1: 1, 3 - 3.2: 2 - Start Project 1

Week 7 (due 10/14):

  • 6.1-1, 3

  • 6.2-6

  • 6.3-5, 9

Week 8 (due 10/21):

Week 9 (due 10/28):

Week 10 (due 11/4):

Week 11 (due 11/11):

Week 12 (due 11/18):

Week 13 (due 12/2):

Week 14 (due 12/2):

Week 15 (due 12/9)

  • Turn in Project 3