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Task 3

You have been given absolute freedom to design the structural elements of a 2-storey building. Your task is to design such structure and verify the ULS and SLS limit states using a finite element analysis. Your design however must satisfy the following constraints:

a)     The minimum number of finite element nodes resulting from your discretisation is 10.

b)     No part of the structure can experience a vertical or horizontal displacement larger than 5 mm

c)      The choice of materials and dimensions for your building and its structural elements has to be as realistic as possible.

Your report with regards to this task should include the following diagrams.

1.     A diagram of the undeformed structure including the calculated loads imposed on the building, and the dimensions and orientations of each of the structural elements.

2.     A diagram of the deformed structure under the loads it supports.

3.     A diagram of the structure highlighting the structural elements supporting the maximum and minimum loads/stresses.

Additionally, your report should include:

4.     A finite element connectivity list that can be verified/confirmed with respect to the diagrams above.

5.     A table of input values detailing material properties.

6.     Element stiffness matrices for each of the structural elements.

7.     The global stiffness matrix that represents the problem, as well as the finite element equations to be solved as part of your design/verification.

8.     A table that includes the displacements/rotations that correspond to each of the finite element nodes.

9.     Evidence of verification of your numerical solution.

10.  Evidence of validation of your numerical solution.

11.  Input scripts of your MATLAB/OCTAVE or any other FE software used for the analyses performed.