. The action of materials under stress; . ting pressures forthe reason given before. For a finite value of r.^, p^ must be lessthan 2 /-j- 3 /2- I^ A is atmospheric pressure, it may be neglected, and 228 STRUCTURAL MECHANICS. 237. Sphere: Greater Pressure on Outside.—Hereagain / changes to compression or reverses in sign, yielding / = i/:i-^+ /-A 1 - ^2x/( / 2/+A 3 f — Pi ^ f + Pi — z P: ) (I3-) 2 (/-A) That ^1 shall be greater than zero requires that/a < J (2/ + /1). 238. Diagrams of Stress.—Curves may be drawn torepresent the variation of / and / in the four preceding are all h
. The action of materials under stress; . ting pressures forthe reason given before. For a finite value of r.^, p^ must be lessthan 2 /-j- 3 /2- I^ A is atmospheric pressure, it may be neglected, and 228 STRUCTURAL MECHANICS. 237. Sphere: Greater Pressure on Outside.—Hereagain / changes to compression or reverses in sign, yielding / = i/:i-^+ /-A 1 - ^2x/( / 2/+A 3 f — Pi ^ f + Pi — z P: ) (I3-) 2 (/-A) That ^1 shall be greater than zero requires that/a < J (2/ + /1). 238. Diagrams of Stress.—Curves may be drawn torepresent the variation of / and / in the four preceding are all hyperbolic, and, if r is laid off from the centre Oon the horizontal axis, each curve will have the vertical axisthrough O for one asymptote, and for the other a line parallelto the horizontal axis, at a distance indicated by the first termin each value of t or /. The four accompanying sketchesshow the various curves. The values of /and/, the unitstresses in the material at the interior and exterior, which cor-respond to the given. 89 /z(j*y,) \
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Keywords: ., bookcentury1800, bookdecade1890, booksubjectstrengt, bookyear1897
