Structural Engineering

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Draft


5.1Reactions 91



  1. Isolatingbd:


(+



) Md= 0; (17:7)(18)(40)(15)(4)(8)(8)(30)(2)+Rcy(12)= 0

)Rcy=


1 ; 236


12


= 103 k 6


(+



) Mc= 0; (17:7)(6)(40)(3)+ (4)(8)(4)+ (30)(10)Rdy(12)= 0

)Rdy=


201 : 3


12


= 16.7k 6



  1. Check


Fy= 0; 6 ; 22: 2 40 40 + 103 32 30 + 16:7 = 0


p


Example5-3: ThreeHingedGableFrame


Thethree-hingedgableframesspacedat 30ft.oncenter. Determinethereactionscompo-


nents ontheframedueto: 1) Roof deadload,of 20psfof roof area;2) Snow load,of 30psf


of horizontalprojection;3) Windloadof 15psfof verticalprojection. Determinethecritical


designvaluesfortheverticalandhorizontalreactions.


Solution:



  1. Dueto symmetry, we willconsideronlythedeadloadononesideof theframe.

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