518 ON THE EXPLOSION OF THE BOILER 
length is Aw, is capable ; and, in that case also p' = half the 
depth of the beam. 
13. Given the dimensions of a rectangular 
beam, which is supported horizontally, on two 
props, and which is bent by a given weight, sus- 
pended from the middle of the beam; it is required 
to find the equation of the curve, which passes 
through the centre of pressure of every part of 
the beam, it being supposed, that the two ends of 
the beam are immovable, that the beam is perfectly 
elastic, that the deflection of the beam, from the 
horizontal line, is always small, and that the 
strength of the beam is known. 
Using the Problem, in Article 371, of Mr. 
Moseley’s Engineering, &c. 
