492_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

492_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/25/08 486 2:29 PM Page 486 CHAPTER 5 Stresses in Beams (Basic Topics) P A COMPRESSION s c M S P bd 3P bd Equate compressive stresses & solve for b 4P bd 12 P 2 pd Equate tensile stress expressions, solve for b 2P bd 12 P 2 pd 6 pd 1 b b pd 6 S M c bd c a bd bd 12 + ab d 2 12 2 2 12 d TENSION st sc 3 bd 2 32 sc M P + A S P A sc 4P 3bd pd2 4P pd a bd 6 1.0 in. e t d + 2 2 b 0.625 in. pd 2 b P Solution 5.12-13 Steel block loaded by cables t 20 P 20 P 3bd (a) If the diameter d of the cable is 0.25 in., what are the maximum tensile and compressive stresses st and sc, 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? 0.25 in. pd 2 Rectangular post has the largest compressive stress ; M S Two cables, each carrying a tensile force P 1200 lb, are bolted to a block of steel (see figure). The block has thickness t 1 in. and width b 3 in. 1200 lb d 24 P CRUCIFORM POST 20 P sc pd 3 d 3 12 P 3bd 16 P 3bd 20 P Problem 5.12-13 P ; RECTANGULAR POST 16P 3bd 16 P 4P + 3bd 3bd COMPRESSION pd 3 CIRCULAR POST 3 Pd 3 2 a bd2 b 32 b substitute expressions for b above & compare compressive stresses bd bd 22 3 1 b 3 pd (c) THE LARGEST COMPRESSIVE STRESS ; (b) CRUCIFORM CROSS SECTION A 2P 3bd width of block 3.0 in. t P ...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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