Question

The stepped bar shown below is fixed at point D. Section AB is made of a malleable cast iron alloy [E = 15,000 ksi, v= (1/4), Suc = 100 ksi] and section BCD is made of aircraft-grade aluminum [E = 10,000 ksi, v= = (1/3), Sut = Suc = 60 ksi). CD is hollow with an internal diameter of 0.3 inch. Find: 10 kips a. the largest stress in the iron and the aluminum. А b. the change in length of ABCD 0.4-in. diam. c. the change in diameter of section AB 4 in. B d. the overall safety factor of the stepped bar. 2 in. с 0.6-in. diam. 4 in. 12 kips D

Answer 1

sin A 3 3 2 A 10 0.12.17 16/12 C B 10 kips 15x106 o a4 dole ddle X 4 X4 = 4.15X100? AB: 10 kips A = x.42 0.1256 0,3 - 10X!79.58.10 dhi = 79.5X10 x 4 dl= = 0.0212 inch ( compression sell dd = *x0:0212 do= 0.536x103 inch BC. A = 3x0-620-282713 O = 10X1035.36x102 te 0.2827 to kup dle = 35.36*20*2 = 7.0781ő inch (Comp.) CD 4 -1.6--*7:0-192.7102 03 - 12/03 - 10.372 103 /in2 10 kip 2 B os ܙܢ 142 3 10 X 106 2 kip ५ 0.1927 3 lakie

0 Olargest of max = 79.5*10 lblina Al max = 38.36X100 lb/in2 (Both compressive) AL=-0.0212-707810 + 4.15 8103 AL = -0.024119 inch 3) dD - 0.5 30x10-23 inch fuss hin 100X80 min La Gaxle? 35:36x103 ] 79.54103 Fos) ourall = 1.257

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