FAQ #22
I have multispan symmetric geometry and loading, yet the design which is
generated has unsymmetric flanges. Shouldn't they be symmetric?
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This may happen because there are an infinite number of solutions possible
for this highly nonlinear optimization problem. The design objective used
is minimum weight, and, for example, a 20 x 1 flange has the same weight
as a 16 x 1.25, or a 10 x 2, 5 x 4, 14.2 x 1.408,
and the infinite combinations in between.
Each positive moment region is solved as an optimization problem separate
from each negative moment region, and the solutions for, say, symmetrically
placed positive moment regions may, because of precision, proceed toward
convergence along slightly different paths leading to equivalent but different
solutions. Convergence even may proceed toward a suboptimal optimum, but this
is the best one can hope for in highly nonlinear mathematical problems.
(See Help/contents/computational methods/girder design generator.)
Occasionally symmetry will be produced where it is expected, but if not,
it easily can be established by the user making the necessary modifications
in rate mode.