852 



Mr. H. Oarrinffton on the 



With the above notation let the suffixes 1 and 2 refer 

 respectively to the first and second experiments, and let 



-\/-> 6j \/->l 



Then M 1 = yLtiT 1 & 1 c, 3 /5 1 and M 2 =/a 1 t 2 &2< , 2 3 A« 



Therefore 



A t 1 6 1 c 1 3 M 2 



>1 



and 



ft T^sC/Mi 



<?2 ^ ^1_ Vl ^j 



(2) 

 (3) 



cj V ^ 

 Values of /3 corresponding with different values of 



o //JL 2 



Hi 



were calculated by St. Yenant *, and in fig. 2 a 

 Fig. 2. 



Relation between /3 & - 



^2. 



c 'V F-x 

 (See Todhunter & Pearson's ' History of Elasticity,' vol. ii. art. 47/ 



10 



c Jv; 





curve is drawn from the values. Since the ratios (2) and (3) 

 were known from the experiments and measurements of the 



* Todhunter & Pearson's ' Elasticity/ vol. ii. art. 47. 



