M give the optimal time t and compare it to the time

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Unformatted text preview: , f (n) that, together with the given load forces, satisfy the force balance equations and respect the tension limits. (The tensions and anchor forces in a real truss will adjust themselves to have such values when the load forces are applied.) If there does not exist such a set of tensions and anchor forces, the set of load forces is said to be unsupportable. (In this case, a real truss will fail, or collapse, when the load forces are applied.) Finally, we get to the questions. (a) Explain how to find the maximum total weight, 1T w, that is supportable by the truss. (b) Explain how to find the minimum total weight that is not supportable by the truss. (Here we mean: Find the minimum value of 1T w, for which (1 + ǫ)w is not supportable, for all ǫ > 0.) (c) Carry out the methods of parts (a) and (b) on the data given in truss_load_data.m. Give the critical total weights from parts (a) and (b), as well as the individual weight vectors. Notes. • In parts (a) and (b), we don’t need a fully formal mathematical justification; a clear argument or explanation of anything not obvious is fine. • The...
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This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at Berkeley.

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