(1) 



From the above parameters, the following may be determined: 

 d F static 



where ^tQ^-jc equals the static stress in the cable, including that due to the cable 

 itself at Lf_,Q„/ and Ij equals the operational maximum dynamic stress allowable with 

 a cable of ultimate tensile stress, I^l^., and a safety factor of F. 



(2) 



the velocity of sound in the cable in feet per second; and 



4CqPA 



(3) 



k = 



SttC M 

 m 



a constant. Since the cable length varies from zero to L^^qx "^""^ because the design 

 must be valid for all lengths, several values of L should be chosen (L = L^, where 

 n = 1, 2, 3, . . . ) between zero and L^a^* Hence, values of li^ = wL^/Cf^ M may 

 be calculated. 



Values of |Uq|, the amplitude of the cable support-point oscillation, may be 

 selected as |Uq| = 1.0, 2.0, 5.0, 10.0 feet. A table may then be set up, as 

 illustrated by Table II, for each fi corresponding to the selected L . 



Table II. 



Outline of Table for Computation of Relationship Between 

 Frequency and Amplitude of Oscillations, Given ^, L, c, 

 and k 



(For ^i = M], L = L]/ c/L = c/L,) 



Column 1 



Column 2 



Column 3 



Column 4 



Column 5 



Uo (ft) 



^=k|Uol 





I' 

 max 



_ ^'d 



to' 



W'c 

 ^= L 





Uo|E 



1.0 



2.0 



5.0 



10.0 



15.0 











10 



