05-06ChapGere.0003

05-06ChapGere.0003 - Circular post Rectangular post...

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Eccentric Axial Loads Problem 5.12-12 A circular post and a rectangular post are each compressed by loads that produce a resultant force P acting at the edge of the cross section (see figure). The diameter of the circular post and the depth of the rectangular post are the same. (a) For what width b of the rectangular post will the maximum tensile stresses be the same in both posts? (b) Under the conditions described in part (a), which post has the larger compressive stress? Solution 5.12-12 Two posts in compression SECTION 5.12 Eccentric Axial Loads 365 P P b d d C IRCULAR POST Tension: Compression: R ECTANGULAR POST A 5 bd Tension: Compression: s c 52 P A 2 M S 52 P bd 2 3 P bd 52 4 P bd s t 52 P A 1 M S 52 P bd 1 3 P bd 5 2 P bd M 5 Pd 2 S 5 bd 2 6 52 20 P p d 2 s c 52 P A 2 M S 52 4 P p d 2 2 16 P p d 2 s t 52 P A 1 M S 52 4 P p d 2 1 16 P p d 2 5 12 P p d 2 M 5 Pd 2 S 5 p d 3 32 A 5 p d 2 4 E QUAL MAXIMUM TENSILE STRESSES or (Eq. 1) (a) Determine the width b of the rectangular post From Eq. (1): (b) Compressive stresses
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Unformatted text preview: Circular post: Rectangular post: Rectangular post has the larger compressive stress. 5 2 24 P p d 2 s c 5 2 4 P bd 5 2 4 P ( p d / 6) d s c 5 2 20 P p d 2 b 5 p d 6 6 p d 5 1 b 12 P p d 2 5 2 P bd Problem 5.12-13 Two cables, each carrying a tensile force P 5 1200 lb, are bolted to a block of steel (see figure). The block has thickness t 5 1 in. and width b 5 3 in. (a) If the diameter d of the cable is 0.25 in., what are the maximum tensile and compressive stresses s t and s c , respectively, in the block? (b) If the diameter of the cable is increased (without changing the force P ), what happens to the maximum tensile and compressive stresses? b t P P A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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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.

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