This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1884 Excerpt: ...cases, necessary to make the elastic resilience greater than the maximum energy of any attacking body. Moving Loads produce an effect intermediate between that due to static stress and that due to the shock of a freely moving body acting by its inertia wholly; these cases are, therefore, met in design by the use of a high factor of safety, as above. As is seen by a glance at the strain-diagram, ff (Fig. 2), the piece once strained has a higher elastic resilience than at first, and it is therefore safer against permanent distortion by moderate shocks, while the approach of permanent extension to a limit renders it less secure against shocks of such great intensity as to endanger the piece. When the shock is completely taken up, the piece recoils, as at ef"f", until it settles at such a point on that line--assuming the shock to have extended the piece to the point e--that the static resistance just equilibrates the static load. This point is usually reached after a series of vibrations on either side of it has occurred. With perfect elasticity, this point is at one-half the maximum resistance, or elongation, attained. Thus we have 1/ = T(I0) but / varies as x within the elastic limit, which limit has now risen to some new point along the line of normal elastic limits, as e. Taking the origin at the foot of /"/", since the variations of length along the line Ox are equal to the elongations and to the distances traversed as the load falls, and as stresses are now proportional to elongations, p=ax; Wh= Ws and W=P... (n) when the resisting force is /, the elongations x, while h and s are maximum fall and elongation, and P is the maximum resistance to the load at rest. Then p dx=a x dx = =Ws. s =--.. (12) For a static load, if s is the elongati...

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