298 Mr Chree, On Long Rotating Circular Cylinders. [Feb. 8, 



Table X. 

 Velocity in feet per second; 77 = 25. 



§ 21. The next special case, that treated in Table XL, sup- 

 poses the greatest strain s=*001, while 77 = "25 as before. These 

 are the only data on which (— 81; I) and 8a 'a depend ; these quanti- 

 ties, when s is given, being independent of E or p. 



Table XI. 



s=-001; 7] =-25. 



n S ° h j ala = -2 -4 6 -8 TO 



Cylinder 



(-SZ/Z)xl0 3 = -429 154 159 -172 -193 -220 -25 



(Ba/a) x 10 3 = -643 -231 -268 -377 "545 -759 1-0 



The results with the exception of those in the last column are 

 only approximate. 



In calculating S we require in addition to s the value of E, but 

 not that of p. In Table XII. the value assigned to E is 20 x 10 8 

 grammes wt. per sq. cm., which is a fair average for good wrought- 

 iron or steel. For practical convenience the maximum stress- 

 difference is given in tons wt. per sq. inch, taking 703083 grammes 

 per sq. cm. as equal to 1 lb. per sq. inch. The results are all 

 approximate. 



Table XII. 

 s = '001 ; E — 20 x 10 8 grammes wt. per sq. cm. ; tj = "25. 



n S r h t a? 1(1 = '2 -4 '6 "8 TO 



Cylinder 



S, in tons J = 14 . 51 13-025 13-01 1296 12-89 12-80 12-70 

 per sq. inch] 



In calculating the velocity we require in addition to the values 

 of s and E the value of p. In Table XIII. it is takeD to be 7*5 

 times the density of water, while s and E have the same values as 

 in Table XII. The velocity is termed com for distinction ; it is 

 measured in feet per second. The results are all approximate. 



