A beam is supported by a fixed support A and a cable BD, as shown in Fig. 13.28 (\mathrm{a}). Determine the tension in the cable by the method of least work.
Table 13.9 | ||||||
x coordinate | ||||||
Segment | Origin | Limits (ft) | M | F | \frac{\partial M}{\partial T } | \frac{\partial F}{\partial T } |
CB | C | 0-4 | -15x | 0 | 0 | 0 |
BA | C | 4-12 | -15x+0.6T(x-4) | -0.8T | 0.6(x-4) | -0.8 |
BD | — | — | 0 | T | 0 | 1 |