404 PROFESSOR A. H. GIBSON ON 
Writing @ for 6, in this expression, and integrating between the limits 6, and 0, we have :— 
| (Me — wr*)@, sin 6, — (Rar — T,) (sin 6, — 6, cos 6,) — 2wr? (cos 6, - 1) ] 
YO 
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amsyal e 
2CJ + 2R,7(6, sin 6,) - 2an9( + cos 6; — 1) 
ScALe FoR eG: — 
— VaLves of DP — 
Fic. 7.—Values of Ma and Ty for a uniformly loaded circular are subtending an angle (180° — 2¢). 
(T, — R,) (sin 6, — 6, cos 6,) + (M, - wr?){6, sin 6, + 2 cos 6, — 2)} (21) 
— Scare for Ta + wr*>— 
