(^308) A Textbook of Engineering Mechanics
Fig. 14.35.
Example 14.14. A cantilever truss of span 2l is carrying loads as shown in Fig. 14.33.
Fig. 14.33.
Determine graphically, or otherwise forces in all the members of the truss.
Solution. First of all, draw the space diagram, and name all the members according to Bow’s
notations as shown in Fig. 14.34 (a).
Fig. 14.34.
Now draw the vector diagram as shown in Fig. 14.34 (b). Measuring the various sides of
the vector diagram, the results are tabulated here :
S.No. Member Magnitude of force in kN Nature of force
1 HB 1.2 Tension
2 CH 0.6 Compression
3 GH 1.2 Compression
4 AG 0.6 Tension
5 GF 2.3 Tension
6 DF 2.3 Compression
7 EF 2.3 Compression
8 AE 2.9 Tension
EXERCISE 14.2
- Determine the forces in the various members of a pin-jointed frame shown in Fig. 14.35.
Tabulate the results stating whether they are in tension or compression.
Ans. AB = 2.0 kN (Tension)
BC = 2.0 kN (Tension)
CD = 2.5 kN (Compression)
DE = 3.75 kN (Compression)
BD = 1.5 kN (Compression)
AD = 1.72 kN (Tension)