The end torque is calculated from the following equation for torque 

 equilibrium: 



T = m g [m^ + m 2 C 4 + C^ (15) 



where C_ = p..R ' sin a ' cos 3' + P..R.. ' cos a' sin g' 



+ M fa1 sin /-| + a ' \ sin 6' + M sin g' sin a ' 



+ B 1 R s I sin (y + ai ') cos g' + B 1 R 1 ■ cos / j + a ') sin g' 



C^ = P 2 R S ' sin a 2' cos &' + P? R 2' cos a 2' sin ^' 



+ M^ sin /y+ a 2 'j sin g* + M sin g' sin a ' 



+ B 2 R g ' sin (j + a 2 '\ cos g 1 + B^ • cos / | + « 2 ' \ sin g' 



C, - p R ' cos g' + M sin B 1 + M sin ( 1 + g' ) 

 5 s s ts be \ 2 / 



+ B_R_' cos ( J+ 3') 



s s 



Wire torsional and bending moments M ti and Mfei which are induced by the 

 change in helix geometry are computed from Equations 2 and 3. 

 The elongation is computed from 



AL = S ' sin g' - S sin g (16) 



s s 



Multistrand Cable With Specified Tension and Torque 



Again, the end reactions are to be determined from the six unknown 

 variables: a., ' , a 2 ' , g, S 1 ' , S 2 ' and S '. The six equations are: 



1. Uniform elongation criterion: Equation 12 (two equations) 



2. Constant rotation condition: Equation 15 (two equations 

 - eliminating <J>) 



3. Force equilibrium: Equation 14 



4. Torque equilibrium: Equation 15 



These six equations are solved by iteration. 



Finally, the end rotation is calculated using Equation 13 and the 

 elongation by Equation 16. 



