524_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

524_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 06Ch06.qxd 9/24/08 518 5:34 AM Page 518 CHAPTER 6 Stresses in Beams (Advanced Topics) IT 1 (10)(3)3 + (10)(3)(h2 12 + MAXIMUM STRESS IN MATERIAL A (EQ. 6-17) 1.5)2 1 (18.667)(3)3 + (18.667)(3)(h1 12 sA 1.5)2 s2 Mh1n IT M sA SA IT h1n 50.6 mm3 4 240.31mm SMALLER SECTION MODULUS MAXIMUM STRESS IN MATERIAL B (EQ. 6-15) sB s1 Mh2 IT SB M sB IT h2 69.6 mm3 SA 50.6 mm3 ; ‹ Maximum stress occurs in metal A. ; y Problem 6.3-11 A W 12 50 steel wide-flange beam and a segment of a 4-inch thick concrete slab (see figure) jointly resist a positive bending moment of 95 k-ft. The beam and slab are joined by shear connectors that are welded to the steel beam. (These connectors resist the horizontal shear at the contact surface.) The moduli of elasticity of the steel and the concrete are in the ratio 12 to 1. Determine the maximum stresses ss and sc in the steel and concrete, respectively. (Note: See Table E-1a of Appendix E for the dimensions and properties of the steel beam.) 30 in. 4 in. z O W 12 50 Solution 6.3-11 Steel beam and concrete slab (1) Concrete: b 30 in. t (2) Wide-flange beam: W 12 d 12.19 in. I 14.7 in.2 M 95 k-ft 50 All dimensions in inches. Use the base of the cross section as a reference line. nI 394 in.4 A 4 in. 1140 k-in. 4728 in.4 h2 © yiAi © Ai TRANSFORMED SECTION (CONCRETE) nA 176.4 in.2 (12.19/2)(176.4) + (14.19)(30)(4) 176.4 + (30)(4) 9.372 in. h1 16.19 h2 IT 1 (30)(4)3 + (30)(4)(h1 12 + (176.4)(h2 6.818 in. 12.19/2)2 2)2 + 4728 9568 in.4 MAXIMUM STRESS IN THE CONCRETE (1) (EQ. 6-15) sc s1 No change in dimensions of the concrete. n Es Ec E2 E1 12 Width of steel beam is increased by the factor n to transform to concrete. Mh1 IT 812 psi (Compression) ; MAXIMUM STRESS IN THE STEEL (2) (EQ. 6-17) ss s2 Mh2n IT 13,400 psi (Tension) ; ...
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