Question

Problem 1 Determine the reactions at the supports and the force in all the members of the truss, indicate whether the force is in tension or compression. The values shown apply. Drawing Not to Scale P1 T . . . a | 4 m | P1 | 2,000 N 5 m P2 4,000 N C 3 m нь

Answer 1

>Pi VP2 axb → a=4m I PI=2000N = akn 6=5m P2 = 4oooN =4kn C=3m * Reactions: Em @ A=0 PixC +Poxa -Rex (atb)=0 is 2x3 + 4x4 - Rcx (9)=0 IR c : 2.44 KN Efy=0 Lee + c = 4 IRA = 1.50 KN - EFx=0 Ha-Pl=0 Ha= akn ca)

- * Member we shall determine Forces: use method of Member Forces. Joint to Joint A ہے .ا 1 T FAB & KN - FAD 1.50KN 7 FAB 90 Ada A FAD-2 220 Now, tano tance O= tant (3/4) To = 36.80] → According to lami's Theorem FAB - FAO-2 1.50 sin 200 sin (90-0 sina " FAB = 1.50 sin 270° sin (30.80)

i i FAB --2.6 KM FAB = 2.8kn (compressive) FAD-2 sin (90-36. sin 36.88 FAO=4.08kN (Tension) → Joint D: A FBO LEAD > foc V 4KN A FBP - 4 FAD got go for - - from FAD singoo lami's Theorem, FBO-4 . FOC sin 180° - Jingo" FBO= 4KN FBD-4 sin 180 FAD singo (Tevision)

FAD singoo Foc sin qo' Foc= FAD foc=4.00kN] Ciension) I * Joint :c-. FBC a.44kn 9OOL SIST- Foc tandem tano- → - FB.C Foc a= tant (3/5) To= 30.90 According to lami's Theorem, 2.44 ino sinaro sin (qoro) I FBC = 2.44 xsin 2 0 sin (30.96) I FBC = 4.84 KN ccompression)

Member Force СЕР) PB 2.0 (с) 4. ox (Т) ВО 4 СТ) PC | | +, ост) Вс | 4.4 cc) c=compression T= Tension AD
I hope I could help u.