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 . ollowing the construction of Fig. 448, except that p isat A, and p0 is to be joined to D (§ 401), (the student willdo well to draft the problem for himself, using the pre-scribed scales,) and thus determining the false-polygons,we then construct and compute the neg. to § 402 (1), and the note in § 397, obtaining thefollowing results; (M. , in. of pap., = 85,800 (sq. in.) (tons)(M.
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 . ollowing the construction of Fig. 448, except that p isat A, and p0 is to be joined to D (§ 401), (the student willdo well to draft the problem for himself, using the pre-scribed scales,) and thus determining the false-polygons,we then construct and compute the neg. to § 402 (1), and the note in § 397, obtaining thefollowing results; (M. , in. of pap., = 85,800 (sq. in.) (tons)(M. A.\, = 106,200 (M. , = 100,800 (M. A.\,« = 70,200 The remaining results are best indicated by the aid ofFig. 450. Following the items of § 402, we find [(3) § 397]that the moment at B, using (M. , is M 2X106,200 = g85 m. 510 MECHANICS OF ENGINEERING. [or, using (M. , \MB = 2xg00=893 in. tons.] Similarly, MG = 2x^800 = 840 in. tons,[or, using (M. A.\9 Mc = in. tons.]Hence, taking means, we have, finally, MA=0; 1TB=889 in. tons ; ^= ; i!fD=0. Fig. 450 shows the actual and shear-dia«grams, which are now to be Selecting a value H — 20 tons for the pole-distance ofthe successive force-diagrams, (the scale of distances being5 ft. (60 in.) to the inch we have [(3) § 397] 20 x ~BG = MB = .-. BG = in. of actualdistance, or in. of paper ; also 20 x GK = MQ = .*. GK = in., or in. of paper. Having thus found (rand K, and divided BG into tenequal parts, applying four tons in the middle of each, weconstruct by § 341 an equilibrium polygon which shallpass through G and iT and have 20 tons as a pole-distance.(We take a force-scale of 10 tons to the inch.) It willform a (succession of short tangents to a) parabola, and isthe moment curve for span BG, Similarly, for the single* CONTINUOUS GIRDER BY GRAPHICS. 511 loads P and P in the other two spans, we draw theequilibr
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
