Question

2) The rigid bar CDE is attached to a pin support at E and rests on the 30-mm diameter brass cylinder BD. A 22-mm-diameter steel rod AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20°C. The temperature of the brass cylinder is then raised to 50°C while the steel rod remains at 20°C. Assuming that no stresses were present before the temperature change, determine the stress in the cylinder. Material data: Steel E = 200 GPa, a = 11.7 x 10-6/°C; Brass: E = 105 GPa, a = 20.9 x 10-6/°C. 710.3m) E 0.45 m 0.3 m B 0.9 m

Answer 1

Answer is boxed

с G 777 B А FBD of Rigid Bar 0.45m fo 0.3m FB D FA FB B D EME TO FB 0.3 = fpx 0.75 z) FB "2.5 F & Deflected shape 8B & By similarity of o.im 0.3m SB 11 0.3 0.75 2.5 SB: So SB ܗ ܀ Brass lection of Deflec fu Last

0.3 x 20.9x10- x 30 FB X 0.3 - 1x : 03²x 105x106 8B = _0141881 4.0 42 x10-6 FB So :Deflec lection in whead fon AE Foxo.a á 21.022)* % 200x106 11 = 11838xios Б log 2.5%( 1.80lX10-4 -4.04 2x10-6 FB) 2. = 1838 xoons F from @ 2.5*(1.801x10my – 4.04 2x10-6 (gxg.cx =1-1838 Xions F - fo=12.675 kn

do, fo = 31.68758 km З 688x/o 3 linder stress in y 5. o 22 11 83. 36 HP