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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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SECTION 6.10 Elastoplastic Bending 565 Solution 6.10-13 h 9.5 in. b 5.25 in. h 1 8.0 in. b 1 4.5 in. s y 42 ksi S ECTION MODULUS Y IELD MOMENT M y s y S M y 1619 k-in. ; S 38.55 in. 3 c h 2 c 4.75 in. S I c I 1 12 ( bh 3 b 1 h 1 3 ) I 183.10 in. 4 P LASTIC MODULUS P LASTIC MOMENT S HAPE FACTOR f Z S f 1.21 ; M P s y Z M P 1951 k-in. ; Z 1 4 ( bh 2 b 1 h 2 1 ) Z 46.5 in. 3 Problem 6.10-14 Solve the preceding problem for a box beam with dimensions h 200 mm, h 1 160 mm, b 150 mm, and b 1 130 mm. Assume that the beam is constructed of steel with yield stress s Y 220 MPa. Solution 6.10-14 Hollow box beam h 200 mm b 150 mm h 1 160 mm b 1 130 mm s Y 220 MPa S ECTION MODULUS ( S I/c ) Y IELD MOMENT (E Q . 6-74) M Y s Y S 122 kN m ; # c h 2 100 mm S I c 556.3 * 10 3 mm 3 I 1 12 ( bh 3 b 1 h 3 1 ) 55.63 * 10 6 mm 4 P LASTIC MODULUS Use (Eq. 6-86) with b t w b 1 and h 2 t f h 1 P LASTIC MOMENT
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