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524_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 524_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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518 CHAPTER 6 Stresses in Beams (Advanced Topics) M AXIMUM STRESS IN MATERIAL B (E Q . 6-15) s B s 1 Mh 2 I T S B M s B I T h 2 69.6 mm 3 240.31mm 4 + 1 12 (18.667)(3) 3 + (18.667)(3)( h 1 1.5) 2 I T 1 12 (10)(3) 3 + (10)(3)( h 2 1.5) 2 M AXIMUM STRESS IN MATERIAL A (E Q . 6-17) S MALLER SECTION MODULUS Maximum stress occurs in metal A. ; S A 50.6 mm 3 ; 50.6 mm 3 s A s 2 Mh 1 n I T S A M s A I T h 1 n 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 s s and s c in the steel and concrete, respectively. ( Note : See Table E-1a of Appendix E for the dimensions and properties of the steel beam.) z y O 30 in. 4 in. W 12 50 Solution 6.3-11 Steel beam and concrete slab

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524_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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