164CHAPTER 2Axially Loaded MembersP1P2d1d1d2P2P1d0520mmd15d2525mmFillet radius: R52mmAllowable stress: st580MPa(a) COMPARISON OF BARS5(80MPa)¢p4≤(20mm)2525.1kNPrismaticbar:ÊP15stA05st¢pd024≤Stepped bar: See Fig. 2-65 for the stress-concentration factor.R52.0mmD15D25Enlarging the bar makes it weaker, not stronger. Theratio of loads is (b) DIAMETER OF PRISMATIC BAR FOR THE SAMEALLOWABLE LOADd05d1ÏK<20mmÏ1.75<15.1mmP15P2Êst¢pd024≤5stK¢pd124≤Êd025d12KP1/P25K51.75<14.4kN5¢80MPa1.75≤¢p4≤mm)2P25snomA15smaxKA15stKA1snom5P2p4d125P2A1Êsnom5smaxKR/D150.10ÊD2/D151.25ÊK<1.75Problem 2.10-6A prismatic bar of diameter d0 5 20 mm is beingcompared with a stepped bar of the same diameter (d1 5 20 mm) that is enlarged in the middle region to a diameter d25 25 mm (see figure).The radius of the fillets in the stepped bar is 2.0 mm.
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.