Consider above roof truss.
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Draw the free Body diagram of truss. 30kn 2oka 10KN 2oka lok loko lokn 30 6251 الا کے ۔ "Ay Take a. a. section x-x to solce forca in member MN, ME and EF Due to symmetry, the reaction forca are Eqreal at supports, hency Ay = By = [10+10+20+367.20 +10+10] -55 ko Find angle, o tand - 2.89 0CF 105 MF = 2.89 m = 38 Find the angle, tan'a 62.579 २.89 105
take a section x- Loka 10kn loka 1 TME Te 18 TEF Ay eingeim 1.5 Find the distance NE MF २.४१ 3.5 5 5 NE = 0.023 m. Take moment about E ZM6=0 1o **s)] (Ay X 305) -(10 x 2.5) - 10 x105) +(TMN COSO) (NE) 55x3.5-40+(Imo cos 38 ](2.023]:=0 TmN=810045 IN (Tersion)
vatical equilibrium, Fy- Tma sino & TMG San Bt Ag 87.045 sin 38 + Tre Sin 62-57 +55 - 10-10-20 TME = -58052 KN ME = 58.52 ko (compressive] Horizontal Equilibrium & Fx=0 Tmn caso + TME Sling + TER=0 87.045 (as 38 - 58.52 sin 62.57 + TFF Ter= - 23.44 KN TEF = 23.44 kN (compresice]