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 . nally put into position. When the false worksor temporary supports are removed, stresses are in-duced in the rib both by its loading, including itsown weight, and by a change of temperature. Stressesdue to temperature may be ascertained separately andthen combined with those due to the loading. [ClassesA and B are not subject to temperature stresses.] Fig. 422 shows a rib of two hinges,at ends. Conceive the d
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 . nally put into position. When the false worksor temporary supports are removed, stresses are in-duced in the rib both by its loading, including itsown weight, and by a change of temperature. Stressesdue to temperature may be ascertained separately andthen combined with those due to the loading. [ClassesA and B are not subject to temperature stresses.] Fig. 422 shows a rib of two hinges,at ends. Conceive the dottedcurve (form and position un-der strain) to be superposedon the continuous curve(form before strain) in sucha way that B and its tangentline (which has been dis-placed from its original position) may occupy their pre-vious position. This gives us the broken curve 0nB. 00ais .*. Os displacement relatively to B and Bs the piers being immovable 0nB (right line) =0i? ; ,the X projection (or Ax) of 00a upon OB (taken as an axisof X) is zero compared with its Ay. Hence as one condi-tion to fix the special equilibrium polygon for a given load-ing we have (from § 373). rB[Myds+EI]=0 (1) The other two are that the ) must pass through 0 \ (2)special equilibrium polygon ) B . (3) Class D. Eib with Fixed Ends and no hinges, , continu-ous. Piers immovable. The ends may be fixed by beinginserted, or built, in the masonry, or by being fastened tolarge plates which are bolted to the piers. [The St. LouisBridge and that at Coblenz over the Bhine are of thisclass.] Fig. 423. In this class there being no hinges we 460 MECHANICS OF ENGINEERING.
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
