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436_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

436_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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430 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.6-23 Beam with projections (1) O RIGINAL BEAM (2) B EAM WITH PROJECTIONS R ATIO OF SECTION MODULI E QUAL SECTION MODULI Set and solve numerically for d h 0.6861 and d h 0 d h . S 2 S 1 1 S 2 S 1 b [8 h 3 + ( h + 2 d ) 3 ] 9( h + 2 d )( bh 2 ) 8 + a 1 + 2 d h b 3 9 a 1 + 2 d h b S 2 I 2 c 2 b [8 h 3 + ( h + 2 d ) 3 ] 54( h + 2 d ) c 2 h 2 + d 1 2 ( h + 2 d ) b 108 [8 h 3 + ( h + 2 d ) 3 ] I 2 1 12 a 8 b 9 b h 3 + 1 12 a b 9 b ( h + 2 d ) 3 I 1 bh 3 12 c 1 h 2 S 1 I 1 c 1 bh 2 6 Graph of versus d h S 2 S 1 d h S 2 S 1 0 1.000 0.25 0.8426 0.50 0.8889 0.75 1.0500 1.00 1.2963 Moment capacity is increased when
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