Question

Find the force in each of the bars marked with the blue lines.

218,4 kips 364 kips m k 436,8 kips 309 9 364 kips 15' a b 20' 10* 10 10 10' 20'

Answer 1

218. ukim 364 an 60 36ylum R 364 20 W330 =j =) j = 17.32 30. 3 busingo 230 496 d 8 h Rox b 364 kins Rb Compound houss so EM₂=0 ; Rax 80 - 364 x 50 - 4B618x 15 - 218.4x30 364.Singo x (80 - cj as 30) + 364 cos60 x ( 15+ ci sin 30) 20 Ra = 593.6 kips EML0; -364x (30030 - 20 Cos 20) + 593.6* 30 - Rax* (15+(30 ws3ox sin3o)) 364 14655.66 = 523.6 rims Rax - 27.99 [ el 30 WD30 y = 20 cosso el - casinoo Rax fa Ra At Joint A fom ( 15 ) - 36.87° -523.6 Tapsin36.87 & Tad =- Tadaos cos 36.87 Tad Tac Cu 36.87 2 Ex=0; Rax -) Ta, cosa687 =) Tad - 654.24 tips Ra Efy 20, Rat Tact Tadsin361st to leim - Tac - 201.05

AK soirt a Tojsinso Sky so i Toi Ty sin 30 = Tac - Taj = -402.11 kips . 20° ŽELO; » Ted, Ta Ted of Tg asso- an 30 Ta 348.24 leim Tac A+ Joint 364 Til er Taj = -364 lim Til = Ta = -402.11 laips Tdi 30 as 3ox sinzol =fair At soint d tence - tani 30 Cl singo de 52.410 Td sin 82.41 Tid sinbo The Tas Sinsesa {fy 20; Tusin 52.41 +Tidsingo To, casada rum Tjd costo 52.upo 60 - 97.57 - Ta The Toe as 52.41 36.87 Copbisa Er; The + Tu C352.41 = Tid ango + Ted & Tayo Tad Tassin 30.87 - The = -297.63 kim .. Tin-Tam ao is a zero force member kh & gon Now, Rat Rb = 218.4 + 364X Sindo t 364 lim 304.033 364 cos 60 {fo ; Rax of Rby = 436.8 kir = Rsx = -268-8 The singo Rb + Te asso - The Cos 60 to eGo -304.033 The fin und The casco a e The Tec Cozy 30 Tepsin3o at The singo = -4368-268.5 fu36.8 Ty simo The cosa 6o - 304.09 x sino - The singo=-705.6 Corro Rgx Rb The = 87.86 kim Ty = 152.30 kim