282 Dr. B. 0. Laws on Strength of the 



however, this method of solution has other applications in 

 practice and will be found useful to the designer. 



Fig. 1 shows a section through a continuous sheet of 

 plating, riveted or otherwise attached at intervals, to cross 



Fig-. 1. 



girders Gr, Gc', forming rigid boundaries to the intervening- 

 plate, the latter being reinforced by riveting thereto a 

 stiffening bar or other member S, S', for a certain length of 

 the span or interval. 



Consider a strip of the plating of unit width subject to a 

 load w per unit length of beam. As before, take the axis of 

 X at the mid surface of the plate and the origin midway 

 between the supports. 



The beam is shown diagrammatically in fig. 2, in which 

 2a represents the unsupported span and 2n the length over 



Fig. 2. 



which the plate is reinforced, the inertia of the beam through 

 the plate only and through the plate and stiffener combined 

 being denoted by I and I t respectively. 



First, consider the portion dc of the beam, and let (/> denote 

 the gradient at c. 



Using a notation similar to that employed in the previous 



