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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Unformatted text preview: 05Ch05.qxd 9/24/08 430 4:59 AM Page 430 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.6-23 Beam with projections Graph of S2 d versus S1 h d h 0 0.25 0.50 0.75 1.00 (1) ORIGINAL BEAM bh3 12 I1 h 2 c1 I1 c1 S1 S2 S1 1.000 0.8426 0.8889 1.0500 1.2963 bh2 6 (2) BEAM WITH PROJECTIONS 1 8b 3 1b a bh + a b (h + 2d)3 12 9 12 9 I2 b [8h3 + (h + 2d)3] 108 1 h +d (h + 2d) 2 2 c2 I2 c2 S2 b[8h3 + (h + 2d)3] 54(h + 2d) RATIO OF SECTION MODULI S2 S1 3 3 b [8h + (h + 2d) ] 8 + a1 + 2d 9a1 + b h 9(h + 2d)(bh2) d h S2 S1 d 1 and solve numerically for . h 0.6861 and d h NOTES: 0 1 when a 1 + S2 S1 or EQUAL SECTION MODULI Set 2d 3 b h Moment capacity is increased when d 7 0.6861 ; h Moment capacity is decreased when d 6 0.6861 ; h d h 2d 3 b h 0.6861 and 0 S2 d is minimum when S1 h a S2 b S1 min 0.8399 9a1 + 3 14 2 1 2d b+8 h 0.2937 0 ...
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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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