570_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 570_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 06Ch06.qxd 9/24/08 564 6:05 AM Page 564 CHAPTER 6 Stresses in Beams (Advanced Topics) Solution 6.10-11 Hollow box beam h 16 in. 8 in. t 0.75 in. b sY c I/c) 1 1 bh3 (b 12 12 1079 in.4 h 2 8.0 in. Use (Eq. 6-86) with tw 32 ksi SECTION MODULUS (S I PLASTIC MODULUS Z (b t: 2t)2] 2t)(h 170.3 in.3 2t)3 2t)(h 1 [bh 2 4 2t and tf PLASTIC MOMENT (EQ. 6-77) I c S 134.9 in.3 sYZ Mp ; 5450 k-in. SHAPE FACTOR (EQ. 6-79) YIELD MOMENT (EQ. 6-74) sYS MY f ; 4320 k-in. MP MY Z S ; 1.26 Problem 6.10-12 Solve the preceding problem for a box beam with dimensions h The yield stress of the steel is 210 MPa. 0.5 m, b 0.18 m, and t Solution 6.10-12 h sy 0.5 m b 0.18 m t 22 mm PLASTIC MODULUS Z SECTION MODULUS 1 (b 12 1 [bh2 4 Z 210 MPa 4.180 * 106 mm3 I 13 bh 12 I 800.4 * 106 mm4 MP c h 2 S 2t)(h SHAPE FACTOR I c (b c 2t)(h PLASTIC MOMENT 2t)3 250 mm f 6 S 3 3.202 * 10 mm YIELD MOMENT My syS My 672 kN # m 2t)2] ; syZ Z S MP f 1.31 878 kN # m ; ; 22 mm. ...
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