. Transactions. ^^ ^^^^^^ ^^ P^^°Substituting now the numerical values of in. for the outside diameter,and in. for the inside diameter (the gun was made in. small on That is, theWith this p. W. BRIDGMAN 155 the inside to allow for stretch) we find U = 3A X IQ-^ for 100,000 sq. in. That is, the outside diameter should increase in.( mm.) under 100,000 lb. per sq. in. (7030 kg. per sq. cm.) internalpressure. The slope of the initial part of the curve in Fig. 4 is much lessthan this, while that of the latter part during stretch is, of course, muchgreater. The recover
. Transactions. ^^ ^^^^^^ ^^ P^^°Substituting now the numerical values of in. for the outside diameter,and in. for the inside diameter (the gun was made in. small on That is, theWith this p. W. BRIDGMAN 155 the inside to allow for stretch) we find U = 3A X IQ-^ for 100,000 sq. in. That is, the outside diameter should increase in.( mm.) under 100,000 lb. per sq. in. (7030 kg. per sq. cm.) internalpressure. The slope of the initial part of the curve in Fig. 4 is much lessthan this, while that of the latter part during stretch is, of course, muchgreater. The recovery after release of pressure was, however, at therate of in. ( mm.) per 100,000 lb. That is, the first appKca-. 10 20 30 40 50 Pressure Fig. 5.—Second application of pressure to breech. Increase of outside DIAMETER (oRDINATE) IS SHOWN IN INCHES AGAINST INSIDE PRESSURE (aBSCISSA) INTHOUSANDS OF POUNDS PER SQUARE INCH. RESULTS ARE SHOWN ON TWO SCALES;LEFT-HAND SCALE APPLIES TO UPPER CURVE, WHICH SHOWS STRAIN BEFORE PRO-NOUNCED PLOW HAS BEGUN, AND RIGHT-HAND SCALE APPLIES TO LOWER CURVE, WHICHSHOWS STRAIN DURING BOTH STAGES OF ELASTIC YIELD AND OF FLOW. tion of pressure, in spite of some permanent set, has left the metal witheffective elastic constants approaching those of a state of ease. The elastic limit to be expected on the maximum stress theory canbe easily computed. At the inner surface we have -2?, Ge = ra 2 _ ri where 9^ is the circumferential fiber stress. The elastic limit of this steelwas about 60,000 lb. per sq. in. (4218 kg. per sq. cm.). Substituting thisvalue for 0^ gives 46,500 lb. per sq. in. (3269 kg. per sq. cm.) as the ex-pected elastic limit of a cylinder initially without
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Keywords: ., bo, bookcentury1800, bookdecade1870, booksubjectmineralindustries
