ANSWKHS 479 



v dy W/, .i--\ W /bx 2 x\ 

 (12) For AC. M - W(6 - *), ta - -. - _ - E ; 



W W 



(13) AtB, 8 = -lL.{2a 3 -3a& 2 + & 3 }; at E, 8 = -~ (a 3 - Sab 2 + 2b 3 } 



(15) AtB, 8 = 



(16) 2/ = ^ (* 4 - 4W + 6/ 2 ^) + 5- (* - ^ 2 ) (17) i 1^ 



(18) 569'2 Ib. per sq. in., 472-6 Ib. per sq. in., 29-53 Ib. per sq. in. 



(19) Web vertical 234-8 Ib. per sq. in., web horizontal 31-88 Ib. 



per sq. in. 



(20) 163-5 Ib. per sq. in. (21) 536 Ib. per sq. in., 4-074 



(22) 76-45 Ib. per sq. in. (23) 2-012", 3-867* (24) 13-52" 



XX (pages 345, 346, 347, 348) 

 (1) (^-y 4 )-4( l r-i/)-3 = (2) ( 2 / 2 +i) 3 



(5) y = 2 tan- 1 (e 28toa: ) (6) y = 



roif-l-*- ( 8 ) - - 



^i-^^ 



(9) / = e" ^ ; (10) ay 



(13) ^ = __ s i n (2a; - a) + l-4-" where tan a = 2 



V5 



4 



(14) y = 1 + e-*** (15) t/ = sin x (16) t/ = - sin 3 x cos 



(17) y(I + <*)=+<*(x*-2x+2)-2 (19) 2/ 2 = 



(20) / = 28-26 sees., 7 54' 



(21) 971 f.s., 559-3 f .s. downwards, 1120 f.s., 150 4' 



(22) k = 0-04682, 289-2 ft., 61 f.s. 



