Engineering Mechanics

(^258) „„„„„ A Textbook of Engineering Mechanics
Fig. 13.19.
Fig. 13.22.
EXERCISE 13.1

1. A truss of span 10 meters is loaded as shown in Fig. 13.19. Find the forces in all the members
   of the truss.
   Ans. AC = 6.92 kN (Compression)
   AE = 3.46 kN (Tension)
   BD = 10.0 kN (Compression)
   BE = 8.66 kN (Tension)
   CD = 7.0 kN (Compression)
   ED = 5.2 kN (Compression)
   CE = 5.2 kN (Tension)


2. A king post truss of 8 m span is loaded as shown in Fig 13.20. Find the forces in each member
   of the truss and tabulate the results.
   Ans. AC, DE =6.0 kN (Compression)
   AF, EH = 5.2 kN (Tension)
   FG, GH = 5.2 kN (Tension)
   BF, DH = 0
   BG, DG = 2.0 kN (Compression)
   BC, CD = 4.0 kN (Compression)
   CG = 2.0 kN (Tension)


3. A plane truss of 6 m span is subjected to a point load of 30 kN as shown in the figure 13.21.
   Find graphically, or otherwise, the forces in all the members of the truss and tabulate the
   results.
   Ans. 1-3 = 28.3 kN (Compression)
   1-5 = 20.0 kN (Tension)
   2-4 = 12.0 kN (Compression)
   2-6 = 6.7 kN (Tension)
   1-5 = 20.0 kN (Tension)
   3-5 = 30.0 kN (Tension)
   3-6 = 18.8 kN (Compression)
   4-6 = 13.3 kN (Tension)
   3-4 = 7.5 kN (Compression)


4. A 9 m span truss is loaded as shown in Fig 13.22. Find the forces in the members BC, CH and
   HG of the truss.
   Ans. BC = 7.5 kN (Compression)
   CH = 1.0 kN (Compression)
   GH = 7.5 kN (Tension)

Fig. 13.21.

Fig. 13.20.