Question

A bolt with a nut is used to clamp together a 1-in cast-iron plate and a 2-in steel plate. The bolt is in-13 UNC. (a) Determine a suitable length for the bolt, rounded up to the nearest in. (b) Determine the bolt stiffness. (c) Determine the stiffness of the members

Answer 1

H= I in so -3.5 in 16 AW grip length e=t&te =2+1 = 3in For 0.5 inch From table - A-3 Tania Lidth= 3+? 3.4375 in Lt=dd +0.25 Lxl At = 0.1418 in2 (From table at 0.5 in nominal diameter) Ad= 7 x 10.500 (0.582=0.1963 in2 Id=2-27= 3.5-1.25=2.25in els= 3-2.25=0.75 in Stifners of threaded Part Ks = Arts 0.1419x30 å to.25= 1.25 in 5.676 mebf le 0.75 in Stifness af unthreaded Part Rd= AdE=0.1963x30 ld = 2.6173 mebf 2.25 cin Stefnels of bolt is Kb. 11 1.7913 mebflin Ay I 5.676 + I 2 6173 length of frusta f= 1 (2+1)= 1.51h

Distance between Joint line and frusta line O= ld-f=2_1.5= o.sen outer dia of frustam Steel member 075+ gxgx tan 30° = 1.904 in 0.5774x+x14.500.5 Kg = en s (155x1 +0.75-0.5) (075+0.5) [.155x1 +0.7570.5) (0.75-0.5) & 12.268 mobflin spring rate for frustam of steel K2= 0.5774x IT X30x0.5 en S (1.15580.5+1.904-0.5] [l.9ou +0.53 (1.155X0.5+1.904-0.5) (1.904-0.5) Kg = 210.71 mebflin spling rate of larger Brustam afsteel. K3= 0.577UX ITX 30x0.5 (1.155x 1.5+0.75 -0.5) (0.7570.5) 1.155815+0.75705) (0.75-05 a 82.6 mebel in en { Koa - km + 12,268 gion1 22.6 f 0.1305 km=7.662 mestlin / As