Question

2 2. (25 pts.) A solid brass rod support a force of 15 kips. The brass rod is 1.25 inches in diameter and has a modulus of elasticity of 14000 ksi. The brass rod is connected to a steel plate which is support by two cast iron pipes. The cast iron pipes have an outside diameter of 4 inches and a modulus of elasticity of 12000 ksi. Determine: a) the normal stress in the brass rod. b) the required inside diameter of the cast iron pipe if the pipe has an allowable normal stress of 5 (ksi). c) The clearance between the bottom of the brass rod and the ground surface after load W is applied. 02:55:45 The normal stress in the brass rod is: (ksi) The required inside diameter of the cast iron pipe is (in.) The deflection of the brass rod is in.) The deflection of the cast iron pipes are (in.) The clearance between the bottom of the brass rod and the ground surface is Cast Iron Pipe E = 12000 ksi Cast Iron Pipe E = 12000 ksi 42 in. Brass Rod (solid) E = 14000 ksi Diam. = 1.25 in. 48 in. W Ground Surface

Answer 1

H 42" Err: 14000 CI KSI Por: 1.25" Ec,= 12000 ksi 4811 15kips Free body diagram (FBD) IR R 15 kips R R Iskips R Perl 15k R R from symmetry D2R 15 R = 7.5 kips

11 1 Normal stress in Brass rod A 4 15*103 eb = 1.222X10' psi 프 4 : (1.25) ?in?) ORY 12.22 Ksi normal stress in cast iron pipe = A 7.58 10 Gel (da-d) 7.54103 (psi) del 7 7 (4²d;) 9.549 x10 (16- d) (psi) < 5x103 (psi) (16-d) > 1.910 16-1.910 > di? di <3.754 in internal diamefer of C.I. pipe = 3.754 in

Whor © Elongasion of Brass Roda A EBY 3 15X10 x 42 мол хо y (1.25)*** (14 10") Boss Rod 3,667x102 in Elongation of Deftertioned on compression RLU cast iron Roda of A ELI 7.5x10²xu8 TT (42-3.954–) (12.000 x10") 2.002 *152 in compression /beflection of 2 2.002X10 in Cast iron Rope A tömeg = (elongation of 07050) (con (compre (compression of e. Pipe 2.3) = (3.667x16? + 2.002 X163) -2 5.669 X10 in clearence = 42"-(w'+41) 48"-42"- 5.669 x16? : clearence 5.943 in