(^306) A Textbook of Engineering Mechanics
Example 14.12. A cantilever truss shown in Fig. 14.29 is carrying a point load of 15 kN.
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Fig. 14.29.
Find the forces in all the members of the truss. All the inclined members are at 45° with the
horizontal.
*Solution. First of all, draw the space diagram and name all the members and forces
according to Bow’s notations as shown in Fig. 14.30 (a).
Fig. 14.30.
Now draw the vector diagram as shown in Fig. 14.30 (b), starting from the joint J, 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 GJ (1-7) 10.6 Tension
2 HJ (2-7) 10.6 Compression
3 DG (1-6) 15.0 Tension
4 FG (6-7) 10.6 Compression
5 EH (2-8) 15.0 Compression
6 FH (8-7) 10.6 Tension
7 EF (5-8) 10.6 Compression
8 DF (5-6) 10.6 Tension
9 DA (1-4) 21.2 Tension
10 BD (4-5) 10.6 Tension
11 CE (2-3) 21.2 Compression
12 BE (3-5) 10.6 Compression
- We have already solved this example analytically in the last chapter.