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Unformatted text preview: stance with data in inertia_dens_data.m. This
ﬁle includes code that plots a density. Give the optimal inertia matrix and its eigenvalues,
and plot the optimal density.
14.6 Truss loading analysis. A truss (in 2D, for simplicity) consists of a set of n nodes, with positions
p(1) , . . . , p(n) ∈ R2 , connected by a set of m bars with tensions t1 , . . . , tm ∈ R (tj < 0 means bar j
operates in compression).
Each bar puts a force on the two nodes which it connects. Suppose bar j connects nodes k and l.
The tension in this bar applies a force
p(l ) tj
− p(k ) 2 ( p ( l ) − p ( k ) ) ∈ R2 to node k , and the opposite force to node l. In addition to the forces imparted by the bars, each
node has an external force acting on it. We let f (i) ∈ R2 be the external force acting on node i. For
the truss to be in equilibrium, the total force on each node, i.e., the sum of the external force and
the forces applied by all of the bars that connect to it, must be zero. We refer to this constraint a...
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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 University of California, Berkeley.
- Fall '13
- The Aeneid