The coefficients b,,, t-^n, b^^ , and b are inertia coefficients and a^ ^ , 

 11' i"^ ' 21 22 11 



a, p , a_, , and a ai^ response coefficients for the beam of length H under 



forcing at a disteince i' from either end. If o = 0, so that C = also, 



then boT = b,„ and a„, = a 



dl 12 21 12 



As a check, if ^' "*" , Equations [21a,b] reduce to the end- forcing 



equations for the l" section or F = b" v + b" e" and G = b" e" + b" e'V 



11 12 21 22 



as they must do. This reduction is not obvious, for 6 and b , b , b , 

 and b do not become, respectively, equal to 9", b", b'' , b" , and 

 b" . Some algebraic Juggling is necessary to establish the reduction. 



26 



