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 . 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 t
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 . 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 have no point given in advance through which the specialequilibrium polygon must pass. However, since Os dis-placement relatively (and absolutely) to B and Bs tangentis zero, both Ax and Ay [see § 373] = zero. Also the tan-gent-lines both at 0 and B beingfixed in direction, the angle be-tween them is the same underloading, or change of temperature,as when the rib was first placedin position under no strain and ata definite the conditions for locating the special equilibriumpolygon are r^Mds _ 0. s> Myds _ Q . fMxds _ aJo EI Jo ~~E1~ Jo EI In the figure the imaginary rigid prolongations at theends are shown [see § 366]. Other designs than those mentioned are practicable(such as: one end fixed, the other hinged; both ends fixedand one hinge between, etc.), but are of unusual occur-rence. Fig. 423. 378a. Rib of Three Hinges. Forces not all Vertical. If thegiven rib of three hinges upholds a roof, the wind-press-ure on which is to be considered as well as the weight
Size: 2079px × 1202px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
