. The action of materials under stress; . ENVELOPES. 229. Ftg. 9a. at the vertex be 2 e, the distance along any element from thevertex D, Fig. 92, to any point P be a, and the depth of waterabove the vertex be h. Then the normal pressure at P, if wis the weight of a cubic unit of water, will be w {h â a cos d).If a plane of section is passedperpendicularly to the elementD C at P, it will cut from thecone a conic section, usually anhyperbola. The radius of curva-ture, p, of that curve at its vertex Pcan be proved to be P I = rt: tan d. ^From the fact pointed out in§ 228, that the stress, at a
. The action of materials under stress; . ENVELOPES. 229. Ftg. 9a. at the vertex be 2 e, the distance along any element from thevertex D, Fig. 92, to any point P be a, and the depth of waterabove the vertex be h. Then the normal pressure at P, if wis the weight of a cubic unit of water, will be w {h â a cos d).If a plane of section is passedperpendicularly to the elementD C at P, it will cut from thecone a conic section, usually anhyperbola. The radius of curva-ture, p, of that curve at its vertex Pcan be proved to be P I = rt: tan d. ^From the fact pointed out in§ 228, that the stress, at a pointin a curve where the externalpressure is normal, is equal to theproduct of the unit pressure and -^ the radius of curvature,âthe ten- sio7i at P, per unit of length of a radial joint along theelement D C, will be pp =120(^/1 â a cos 6) a tan 0 = wa (Ji tan 6 â a sin 6). As h is usually longer than D C, this tension will increasefrom D to C, being zero at D, and at C being equal to 7£/ . D C {h tan ^ â D C sin ^) â lu . \) C {h tan 6 â
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Keywords: ., bookcentury1800, bookdecade1890, booksubjectstrengt, bookyear1897