From inspection of the table, it can be seen that in view of the relationship between 

 the various cable lengths chosen, values of I^^qxI °^ these different lengths are quite 

 simply related — thus facilitating the design calculations. 



Values of the nondimensional frequency, to', are then entered in Column 4 

 by the use of Figures 2 to 13, 15 to 22, and 25 to 32. That is, for a particular (i 

 and /3, the value of co' corresponding to ^qxI '^"-'y '-*® found. Hence, the circular 

 frequency, CO, can be calculated and entered in Column 5. From the completed 

 table, the relationship as a function of cable length, can be drawn between input 

 amplitude of oscillation, |U |, and the allowable circular frequency, co, of that 

 amplitude — i.e., the circular frequency at which the oscillation can occur such 

 that the maximum dynamic stress in the cable is less than or equal to the design 

 dynamic stress. Figure 33 shows this relationship for the computation given in 

 Table IV. The significance of these results is discussed below together with that of 

 the following design example. 



Design Example Using Steel Cable 



The relevant load parameters are given as follows: 

 M = 20 tons = 40, 000 lb 

 A = 600 ft2 

 Cd - 2.0 



C„ = 1.5 

 m 



The appropriate cable parameters were chosen to be 



L^ax = 20,000 ft 



Pc = 550 Ib/ft3 



w = 7.64 lb/ft 



E = 15 X 10^ psi 



Ij = 40, 000 psi 



c = 11,200 ft/sec 



4CdPA 



ottC^ M 



and, therefore, i3=0.50|U 1. 

 ol 



13 



