Murthy 



moments are separately evaluated. The forces and moments of the 

 same order may be added together and if, following Newman's'^ 

 notation we write the total forces and moment in the form : 



X ■ X P C + X P H + X R " 6X .000 + " X 0100 + 5 X 2000 



+ «" x noo ^Xzoo + faX ioio +5<x iooi + " aX oii, 



M 0101 



(5-5) 



with similar expansions for Z and M, we have the following results 

 Lon g itudinal Force 



0(5 > x iooo -° 



0(0) X„ 1/wx = 

 v ' 0100 



0(8) X 



2000 



z ? vff^ 



ooo , < x '' b > *'>!!• dx ' dz ' 



X 1 



»<«« x noo = -T ff*o * ( roo y o'° )dXdy 



»„V ff\ (X'.b+Z 1 ) 3 h l 



9 JJ l*°ioo , y^ + *oi 



00 



(x' ,b-,z' ) 



* h : 



a 



dx'dz' 



0(/T) X 



" Vp o *0100 



o = y/& p o p o 



r 



°(*"> x ioio = -(^) 'Soi^ 

 °^ x ono- (^)°" 25E ooi e ^ 



(x, y, o) 



xx 



dxdy 



132 



