Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . ve (1) for pn and (2) for pB and equate the results, whence v2= ^[lx-x2] ; or (y2vf=i/^[lx-^] . (3) This relation between the abscissa x and the ordinate y2v,of the curve GBO, shows it to be an ellipse since eq. (3)is that of an ellipse referred to its principal diameter andthe tangent at its vertex as co-ordinate axes. In this case eq. (3) covers the whole extent of bothupper and lower curves, the compl
Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . ve (1) for pn and (2) for pB and equate the results, whence v2= ^[lx-x2] ; or (y2vf=i/^[lx-^] . (3) This relation between the abscissa x and the ordinate y2v,of the curve GBO, shows it to be an ellipse since eq. (3)is that of an ellipse referred to its principal diameter andthe tangent at its vertex as co-ordinate axes. In this case eq. (3) covers the whole extent of bothupper and lower curves, the complete outline, of thecurve CBOB, whereas in Figs. 286, 289, and 289 a, such isnot the case. FLEXURE. BODIES OF UNIFORM STRENGTH. 341 287. Cantilevers of Uniform Strength.—Beams built in atone end, horizontally, and projecting from the wall with-out support at the other, should have the forms given be-low, for the given cases of loading, if all cross-sections areto be Rectangular and the weight of beam neglected. Sidesof sections horizontal and vertical. Also, the sections aresymmetrical about the axis of the piece, b and h are thedimensions at the wall. 1= length. No proofs Fig. 290.
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
