Question

Final Exam 2. Analyze the truss shown below: (50 Points) a. Solve for the reactions at supports A and D b. Determine the force developed in members FE, EB, and BC of the truss, and state if these members are in tension or compression. Use the method of sections, c. Draw a free body diagram (FBD) of: i. The entire truss, without its supports ii. The truss section after cutting it iii. Any joint that you solve. m 1 m 1.5 2 m . 11 KN 22 KN

Answer 1

© Given that 2m- Aus 1. 5ml RAY = 15 UN ku ROT 18 KN- » from the eauilibrium Condition tano = 2 p= 53-13 EMAZO - (20)( 5,5) = (2)(315) + ( ) ( ) » [RO = 18 kN] Efy=0 >> Rayt Rp> 1 +22 - Ray - 15 km] Efno RAN=0 KN -> Now, Considen a section across the members FE, EB EBC -> Assume all the members are in tension 'JEF Efy = 0 =) TBE sin 53.13 + Ray a " IBE = TBE = 11 - RAY 153.13 FBC sin 53.13. RAY = 15 kn 11 KN THE = 11-15 sin 53.13

2) TBE = – 5.00 KN. | TBE = 5.00. KN) Comporession =) EMEZO. ) 3 (TBC) (2) + (11) (1.5) = (15) (3.5). | Toc = 18 kN] → tension. >> Ef m=0 - TBCT TBE Cos53-13 + TEF O. >> TEF = - 18 - (-5 Cos 53-(3) - TEF = -15 kw TEF = 15 kN - Comporession memben Fooice Nalogie Bc tension BE Compression E Compression,