AND VIBRATION OF SHAFTS. 
329 
particular value of or C 2 , the value of w readily calculated. Two sets of results 
have thus been compiled. The first set (obtained from equation [C]) gives the values 
of for different values of and b^, and is applicable when the pulley lies between 
the middle bearing and the centre of the span ; whilst the second set (obtained from 
equation [D]) gives values of acg® for different values of ctg and and is applicable 
when the pulley lies between the end bearing and the centre of the span. 
41. Values of 6-^ in the equation oi — 0^ -^/(^EI/Wci®) when the pulley lies between 
the middle bearing and the centre of span, and = distance from mid-bearing. 
Values of = c^jl. 
Very 
small 
1 
1 0 
1 
6 
4 
1 
3 
1 
2 
II 
«o 
Superior 
limit 
1-732 
1-906 
2-006 
2-129 
2-275 
2-908 
•25 
1-677 
1-860 
1-966 
2-098 
2-254 
2-907 
•50 
1-500 
1-725 
1-853 
2-012 
2-199 
2-905 
•75 
1146 
T511 
1-687 
1-897 
2-131 
2-902 
1-00 
0 
1-279 
1-520 
1-786 
2-066 
2-900 
1-25 
do. 
1-109 
1-441 
1-700 
2-016 
2-898 
150 
do. 
1-012 
1-310 
1-641 
T978 
2-896 
1-75 
do. 
-956 
1-257 
1-599 
1-952 
2-895 
2-00 
do. 
•921 
1-220 
1-571 
1-932 
2-894 
Inferior 
limit 
do. 
•822 
1-114 
1-470 
1-857 
2-890 
2 u 
MDCGGXCIV.-A. 
