Alexander and Jackson — Polygons to Generate Diagrams, Sfc. 9 



and adopt 1-^ tons as a new unit of load, when the load will again be numeri- 

 cally double the span, but the four upward forces will be shortened in the 

 ratio of 3 : 4. The shearing locus shows that the centres of the circles come 



'\ ROLLING POLYGON GENERATING 



A DIAGRAM OF SQ.-ROOTS OF BENDING MOMENTS. 



8^ TONS JPRE A Di 



» t 1 1° M flT'-ci 30 FEET. 



Fig. 8. 



closer in that ratio, but intersect on the same verticals as before. We have 

 then a diagram of the square roots of max. bondings for a new ideal locomotive 

 heavier than the real one in the ratio 4 : 3, wheel for wheel, but the wheels 



