01-01ChapGere.0001 - d BC 5 2.25 in(a N ORMAL STRESS IN PART AB(b L OAD P 2 FOR EQUAL STRESSES 5 s AB 5 2040 psi Solve for P 2 P 2 5 5600 lb s BC 5 P 1

Normal Stress and Strain Problem 1.2-1 A solid circular post ABC (see figure) supports a load P 1 5 2500 lb acting at the top. A second load P 2 is uniformly distributed around the shelf at B . The diameters of the upper and lower parts of the post are d AB 5 1.25 in. and d BC 5 2.25 in., respectively. (a) Calculate the normal stress s AB in the upper part of the post. (b) If it is desired that the lower part of the post have the same compressive stress as the upper part, what should be the magnitude of the load P 2 ? Solution 1.2-1 Circular post in compression 1 Tension, Compression, and Shear 1 A B C P 1 d AB d BC P 2 P 1 5 2500 lb d AB 5 1.25 in.

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Unformatted text preview: d BC 5 2.25 in. (a) N ORMAL STRESS IN PART AB (b) L OAD P 2 FOR EQUAL STRESSES 5 s AB 5 2040 psi Solve for P 2 : P 2 5 5600 lb s BC 5 P 1 1 P 2 A BC 5 2500 lb 1 P 2 p 4 (2.25 in.) 2 s AB 5 P 1 A AB 5 2500 lb p 4 (1.25 in.) 2 5 2040 psi A LTERNATE S OLUTION FOR P ART (b) ∴ P 2 5 2.24 P 1 5 5600 lb d BC d AB 5 1.8 P 1 1 P 2 d BC 2 5 P 1 d AB 2 or P 2 5 P 1 B¢ d BC d AB ≤ 2 2 1 R s AB 5 P 1 A AB 5 P 1 p 4 d AB 2 Ê s BC 5 s AB s BC 5 P 1 1 P 2 A BC 5 P 1 1 P 2 p 4 d BC 2 A B C P 1 P 2 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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