Loaded Sliajt supported in Three Bearings. 



665 



R 



512(101-2*), 



8 = ^(83-20), 



T ^.l£ (101 - 2 ^' 



R'=^(59-2*). 

 S^ (-18-80. 



T'=^(59-2d>). 



u '=i5i(- 13 - 2 ^ 











1 



-32 



3 



24 



6 



-21 



10 



20 



15 



-15 



0. 



Substituting these values in the determinant of § 18, an 

 reducing, we obtain 



32(101-20) 1021(59-20) 1 32 



16 (83-20) 512(-13-20) 1 -32 



8(10-120) 61(59-20) 1 8 



4 (83-20) 16(-13-20) 1 -4 



2(101-20) 4(59-20) 1 2 



83-20 -13-20 1 -1 



The two roots of this quadratic in are 48'2 and 9*3, a 

 result agreeing with § 17. 



§ 21. When considering the moment of inertia of the load 

 in the preceding pages the mass has been assumed to be of 

 the nature of a thin disk clamped to the shaft. When the 

 load is not thin, and is clamped to the shaft for a short, 

 length at its centre, the moment due to centrifugal action is 



not correctly represented by mk 2 co 2 ^~. 



It may be shown that in the general case the moment is 



(Ii — I 2 )w 2 ^, where I t is the moment of inertia of the load 



about the shaft axis, and I 2 is the moment of inertia about a 

 diameter perpendicular to the axis. 



Fig-. 4. 



Tims, let ST be the axis of rotation or line of bearings 

 Phil. Mag. S. 6. Vol. 42. No. 251. Xor. 1921. 2 Y 



