636 THE STRENGTH 



.-. 14506 : 16196 :: 2^04 : 2.14 ins. = ultimate 

 deflection. 



In experiment 30, where the distance between 

 the supports was 9 feet, and depth lOJ inches, 

 26162 lbs. bent the beam .58 inch, without 

 twisting, and 28672 lbs. broke it. 



.-. 26152 : 28672 :: .68 : .64 inch =: ultimate 

 deflection, if the beam had not twisted. 



In experiment 33, where the distance between 

 the supports was 9 feet, and depth 10 J inches, 

 29680 lbs. bent it .58 inch, without twisting, 

 and 32200 lbs. broke it. 



.-. 29680 : 82200 :: .58 : .63 inch = ultimate 

 deflection, if it had not twisted. 



The real deflection however, in both of the last 

 experiments was greater than is given above, 

 rising from the beam having twisted ; as may 

 be seen by referring to the experiments. 



77, The ultimate deflections in the preceding 

 experiments are, as might be expected, rather 

 anomalous ; but to obtain some general conclu* 

 sions from them, we will confine ourselves to 

 those beams which were of uniform depth 

 throughout, seeking: — 



1st. To find the ultimate deflection in terms 

 of the depth. If we take experiments 23 and 

 26, which were the extremes of a series where 



