Genetics: Beadle and Ephrussi

2-a shaft of one diameter long-the angle of twist at a given radius plotted against v = z/a is practically a straight line from v = 0.5 to v = 1.5. That is, the influence of the terminal moments extends only about half a radius from the ends. The total angle of twist comes out to be about 5% more than the value predicted by the simple formula. For a very long shaft the effect of the non-linear distribution of the stresses at the ends disappears at a distance of about one radius. Note that B, = -1 for large k; then for large v, (15) reduces to its first term. This discussion has been limited to terminal loads having circular symmetry about the shaft axis z. It has shown that a non-linear symmetrical stress distribution at the ends does not change the linear relation derived by Saint-Venant and assumed by engineers. It is reasonable to infer that any type of distribution, symmetrical or not, will also be without appreciable influence.