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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.
 Fall '13
 F.Borrelli
 The Aeneid

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