672_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

672_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 666 11:04 AM Page 666 CHAPTER 8 Applications of Plane Stress Solution 8.4-3 b 4 in. h I b h3 12 I q bh txy s1 c 2 ft L 12 ft sx sx 2 2 + a b + txy 2 A2 VQ Ib q RA c2 2 M qc V sx 2 103 lb 7.2 105 lb # in. 1.44 10 lb txy tmax txy s2 s2 180 psi (c) TOP OF THE BEAM s1 tmax s1 180 psi 2 in. sx My I Q h bd a 2 d s2 3 in. sx d b 2 sy 864 psi 0 tmax tmax Q sx I txy 0 A2 sx s2 a sx 103 psi 2.16 0 Uniaxial stress: s1 (b) 2 IN. ABOVE THE NEUTRAL AXIS y h Ma b 2 sx sy ; 180 psi ; 458 psi 180 psi Pure shear: s1 s1 tmax 3V 2A txy 0 ; a (a) NEUTRAL AXIS sy a 890 psi tmax 0 ; sx 2 2 b + txy A2 s2 3 4.8 151.2 psi sx 2 2 b + txy A2 25.7 psi s2 RA RA c sx txy s1 qL 2 M A 333.333 in.4 1200 lb/ft RA V 10 in. sy s1 0 psi 3 2.16 10 psi 2 2 b + txy ; 1080 psi 3 42 in. Problem 8.4-4 An overhanging beam ABC with a guided support at A is of rectangular cross section and supports concentrated loads P both at A and at the free end C (see figure). The span length from A to B is L, and the length of the overhang is L/2. The cross section has width b and height h. Point D is located midway between the supports at a distance d from the top face of the beam. Knowing that the maximum tensile stress (principal stress) at point D is s1 35 MPa. determine the magnitude of the load P. Data for the beam are as follows: L 1.75 m, b 50 mm, h 200 mm, and d 40 mm. P P d A D C B L — 2 L — 2 L — 2 Probs. 8.4-4 and 8.4-5 h b ...
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