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 . Fig. ARCH RIBS. 463 eight equal ^ss and draw a vertical through the middleof each. Let the loads borne by the respective Jss beFlt P2, etc., and with them form a vertical load-line A C tosome convenient scale. With any convenient pole 0draw a trial force diagram 0 AC, and a correspondingtrial equilibrium polygon F G, beginning at any point inthe vertical F. Its ordinates %, 22, etc., are propor-tional to
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 . Fig. ARCH RIBS. 463 eight equal ^ss and draw a vertical through the middleof each. Let the loads borne by the respective Jss beFlt P2, etc., and with them form a vertical load-line A C tosome convenient scale. With any convenient pole 0draw a trial force diagram 0 AC, and a correspondingtrial equilibrium polygon F G, beginning at any point inthe vertical F. Its ordinates %, 22, etc., are propor-tional to those of the special equil. pol. sought (whoseabutment line is OB) [§ 374a (2)]. We next use it to de-termine n [see § 374a]. We know that OB is the abut-ment-line of the required special polygon, and that . *.its pole must lie on a horizontal through n. It remainsto determine its H, or pole distance, by equation (1) justgiven, viz.: 2? yy = 2?yz. First by § 375 find the valueof the summation 2f(yy), which, from symmetry, we maywrite = 221%yy)=2[y1yl+y&i+y&i+y#J yx Hence, Fig. 426, we obtain 2\ (yy)=2[H0k] Next, also by § 375, see , using the same pole dis-tance H0 as in
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
