^u 



= dW 1 



dK ^ av, G 



AS: 





+ M^E— ^QvzjQtj 



ae. 



t 

 J J 



(9W 1 



dx dM G 



_ As. ^ As 



J > 



— As, 



j j 



From Equations [45] and Equations [2a, b, c] of Appendix A.l (see also pages 51 and 74) we 

 can write the shear flexibility terms of the beam: 



KA^^G 



11 % ^ t. "^Vyj 



1 



KA G 



yz 

 1 



KA G 



1 



As. 



• N 



12 - G li— "^VyjOvzi 



j 



^22 = "^ 2] (^ Qvzj 



[46] 



[47] 



[48] 



To verify results previously determined or defined, the following relations will always hold: 



As, 



G N 



G N, 



E T-^vyjQxj - 



= 



V GJ j 



t 



j > 



As^ 



E— t "^Vzi-^Tj 



j j 



As 



Q^; =0 



E— ^ 



[49] 



[50] 



[51] 



G j t. Tj G SQ^j(yti^hj-yhj^ti) 



INERTIAL PARAMETERS 



In this section we discuss the method for computing the inertial parameters by the 

 digital program, the data required as input for the inertial calculations, the form of input 

 and output data, and the weight calculation for the sample problem. 



In determining the inertial parameters, the weight and first and second moments are 

 calculated first by the following equations. The operations performed by the computer are 

 those indicated by these equations: 



78 



