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"C) Conclude that a round solid fiber gives
minimal stiffness for a given strength."
If "a given strength", is the same as a given cross sectional area,
then not true. Aux contraire, a cylinder has the highest stiffness
strength (tensile) for a solid member than any other simply connected
cross-sectional shape. St. Venant showed this some time ago (ca.
1855). continuing:
"B) Again split the tape, but rather than
moving them apart, move them together so they
share the same attachment point. This will
give less stiffness than the original full-width
tape."
why do you think the split tape will have significantly less stiffness
than the original?
p.s. a quick calc. for the torsion constants (per unit length and
same shear modulus) of a cylinder (r= 0.0178 inch) and a ribbon two
mills thick and 1/2 inch wide give a factor of 120 X (the cylinder
being the more rigid)