571_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

571_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 06Ch06.qxd 9/24/08 6:05 AM Page 565 SECTION 6.10 Elastoplastic Bending 565 y Problem 6.10-13 A hollow box beam with height h 9.5 in., inside height h1 8.0 in., width b 5.25 in., and inside width b1 4.5 in. is shown in the figure. Assuming that the beam is constructed of steel with yield stress sY 42 ksi, calculate the yield moment MY, plastic moment MP, and shape factor f. h1 z C h b1 b Probs. 6.10-13 through 6.10-16 Solution 6.10-13 h b1 9.5 in. b 5.25 in. sy 4.5 in. h1 8.0 in. 42 ksi PLASTIC MODULUS Z 12 (bh 4 b1h12) Z 46.5 in.3 SECTION MODULUS I c h 2 PLASTIC MOMENT 1 (bh3 12 b1h13) 183.10 in. 4.75 in. c I S I c 4 S 38.55 in.3 YIELD MOMENT syS My MP Z S f ; 1619 k-in. 130 mm. Assume that the beam is constructed of steel with yield stress sY Solution 6.10-14 h h1 200 mm c h 2 b1 b1h3) 1 100 mm sY 130 mm 220 MPa 55.63 * 106 mm4 S I c Use (Eq. 6-86) with b Z I/c) 556.3 * 103 mm3 1 (bh 2 4 b1h2) 1 tw sYS 122 kN # m ; b1 and h 668.0 * 103 mm3 PLASTIC MOMENT (EQ. 6-77) MP 147 kN # m sYZ ; SHAPE FACTOR (EQ. 6-79) YIELD MOMENT (EQ. 6-74) MY 160 mm, b 150 mm, PLASTIC MODULUS 150 mm SECTION MODULUS (S 1 (bh3 12 200 mm, h1 220 MPa. Hollow box beam b 160 mm I ; ; 1.21 Problem 6.10-14 Solve the preceding problem for a box beam with dimensions h and b1 1951 k-in. SHAPE FACTOR f My syZ MP f MP MY Z S 1.20 ; 2tf h1 ...
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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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