672_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 672_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

## 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.

Ask a homework question - tutors are online