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. 1897 Excerpt: ... plane of the paper isp b--//. b is the lateral strain corresponding to a longitudinal strain a = or a longitudinal stress of I lb. per Square inch. Strength of Thick Pipes. 185 Assuming that a plane section remains plane, p b--J b = a constant;.. p--f = a constant c, or (2) f = p-c Substituting this value of /in ...
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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. 1897 Excerpt: ... plane of the paper isp b--//. b is the lateral strain corresponding to a longitudinal strain a = or a longitudinal stress of I lb. per Square inch. Strength of Thick Pipes. 185 Assuming that a plane section remains plane, p b--J b = a constant;.. p--f = a constant c, or (2) f = p-c Substituting this value of /in equation (1), we have (2 p--c)8r + r8p = o, This is the general law, but if we neglect the outside pressure, as we may usually do in comparison with the great internal pressure, the rule becomes or the internal pressure (per square inch) multiplied by the sum of the squares of the internal and external radii or diameters in inches, is equal to the tensile stress the material will stand multiplied by the difference of the squares of the same two radii or diameters. This is the well-known rule which is usually employed for calculating the strength of thick pipes. For calculation purposes the rule is often more convenient if written in the form D being the external and d the internal diameter. The student will see that the thickness =--We have found that a 6-inch pipe designed for a pressure of 800 lbs. per square inch is usually 1 inch thick, corresponding to a safe stress of 2596 lbs. per square inch. For a pressure of 1120 lbs. per square inch the thickness is i inch, agreeing with a stress of 2912 lbs. per square inch. Small pipes are made thicker to allow for defects at joints, corrosion, &c., thus a safe stress of about 2000 lbs. per square inch is considered best for pipes 2 inches in internal diameter. Results worked out from these data are shown in the convenient form of curves (Fig. 142), giving the connection between thickness of pipe and pressure of water in each case. To complete the series the curve shown in Fig. 144 has been p...
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