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nydus/On Growth and FormPublic
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CHAPTER XVI ON FORM AND MECHANICAL EFFICIENCY

A diagram of a rectangular block with an internal diagonal line segment CD and a normal vector N acting on it.

This is as much as to say, that a shearing stress vanishes altogether along the lines of maximum compression or tension; it has a definite value in all other positions, and a maximum value when it is inclined at 45ô¯ to either, or half-way between the two. This may be further illustrated in various simple ways. When we submit a cubical block of iron to compression in the testing machine, it does not tend to give way by crumbling all to pieces; but as a rule it disrupts by shearing, and along some plane apôÙproxôÙiôÙmateôÙly at 45ô¯ to the axis of compression. Again, in the beam which we have already considered under a bending moment, we know that if we substitute for it a pack of cards, they will be strongly sheared on one another; and the shearing stress is greatest in the 〜neutral zone,〝 where neither tension nor compression is manifested: that is to say in the line which cuts at equal angles of 45ô¯ the orthogonally intersecting lines of pressure and tension.

In short we see that, while shearing stresses can by no means be got rid of, the danger of rupture or breaking-down under shearing stress is completely got rid of when we arrange the materials of our construction wholly along the pressure-lines and tension-lines of the system;

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