409_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

409_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 5.5-16 Determine the maximum tensile stress and maximum compressive stress due to the load acting on the simple beam (see figure). Data are as follows: . b 80 mm, t 25 mm, h 120 mm, and h 1 90 mm P 6.2 kN, L 3.2 m, d 1.25 m, AB P s c s t SECTION 5.5 Normal Stresses in Beams 403 Solution 5.5-16 N UMERICAL DATA Beam cross section properties: centroid and moment of inertia I 5879395.2 mm 4 + A f c c 2 ( h h 1 ) 2 d 2 + A w a c 1 h 1 2 b 2 I 1 12 t h 1 3 + 1 12 b ( h h 1 ) 3 dist. to C from bottom c 2 h c 1 c 2 44 mm c 1 A w h 1 2 + A f c h ( h h 1 ) 2 d A f + A w c 1 76 mm A f b ( h h 1 ) A w th 1 h 1 90 mm t 25 mm h 120 mm d 1.25 m b 80 mm P 6.2 kN L 3.2 m M AX . MOMENT & NORMAL STRESSES M AX . COMPRESSIVE STRESS AT TOP ( ) M AX . TENSILE STRESS AT BOTTOM ( ) s t M max c 2 I s t 35.4 MPa ; c c 2 s c M max c 1 I s c 61.0 MPa ; c c 1 M max Pd ( L d ) L M max 4.7 kN # m d A
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