. Proceedings of the annual convention . l-b)[mMl-b)-=^ __\ ■c^A \ N ■^ \ N \ N- ■^ ^ ^^ =m. b K X volues ofku—. c-lOO ^^ ^ \ \ •s -^ J^!i____-^4„^-^ ^ ^ ^ ^^^^^ 5^ ^^ =^^^5r^ r:^:; =^ ^^ N \ ^ C^ ^5=^ ^ \ \ \ :r$-r^-^ ^ ■=:::;;;;— -_ N- ^ ^ \ \ N -^.^ ^ ^ ~~—■ \ ■^ , \ V. -.,,_^ ^ \ \ ^^ X \ ^ - ~~-^ ^^ ^ —N S,^ A B-rl \- 1— \ ^v ^:7~ ^^7^ ^^--= ^^^ ^ ^ \— - \ \ ^^ —■ ^-^ \ ^ ~ ^--.^ . > \ V ^\^ 1 ■\ \ ^ \ \ \ ~^-.^ \ ^■^ ^ -^ V --. \ ~--~^ ^ ^_ ^ K ^ -^ ^ ^^ ^—_ .10 20 30 .40 .60 .70 .90 Equivalent Joint Method of Rigid Frame Analysis 43 EXAMPLE 2 SLOPE DEFLECTION CONSTANTS FOR MEMBE


. Proceedings of the annual convention . l-b)[mMl-b)-=^ __\ ■c^A \ N ■^ \ N \ N- ■^ ^ ^^ =m. b K X volues ofku—. c-lOO ^^ ^ \ \ •s -^ J^!i____-^4„^-^ ^ ^ ^ ^^^^^ 5^ ^^ =^^^5r^ r:^:; =^ ^^ N \ ^ C^ ^5=^ ^ \ \ \ :r$-r^-^ ^ ■=:::;;;;— -_ N- ^ ^ \ \ N -^.^ ^ ^ ~~—■ \ ■^ , \ V. -.,,_^ ^ \ \ ^^ X \ ^ - ~~-^ ^^ ^ —N S,^ A B-rl \- 1— \ ^v ^:7~ ^^7^ ^^--= ^^^ ^ ^ \— - \ \ ^^ —■ ^-^ \ ^ ~ ^--.^ . > \ V ^\^ 1 ■\ \ ^ \ \ \ ~^-.^ \ ^■^ ^ -^ V --. \ ~--~^ ^ ^_ ^ K ^ -^ ^ ^^ ^—_ .10 20 30 .40 .60 .70 .90 Equivalent Joint Method of Rigid Frame Analysis 43 EXAMPLE 2 SLOPE DEFLECTION CONSTANTS FOR MEMBER Ab 51- =cL 083= V bL= = ,073 21 uL=.3604L 6I5L r 51. Q =.5365 ,055 L ^(..7l)-[ L 2( J = .083^..2^|Z!1L29)_^5365, Xa ^ .3579 L 2 L ^ [ZlMi)] = .00I5M^L Xb .073 X .358 [.5365+7i(£i:i2l] ()2() .0242 4- .0192 (.458 ) = .699 X .079 = .055- .844L(+.073) Xr 3(.9l7 + .073) = . .61 5 L Xo. .0227L .4395 = .0516 uL X .4557M^L =.0364 M^L x .052L=. MaL X .3 85L=. I ^L .4557 , .I639L „ ,^«^.uL= ■= .4557 ,I639MaL FIGURE A7 44 Iron and Steel Structures EXAMPLE 2 .063 L SLOPE DEFLECTION CONSTANTSFOR MEMBER Ab .04^58L ^


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Keywords: ., bookauthoramericanrailwayengine, bookcentury1900, bookdecade1900