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500_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 500_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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494 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.13-3 Beam with semicircular notches From Fig. 5-50: K L 2.57 R h 1 0.04 in. 0.80 in. 0.05 h h 1 + 2 R R 1 2 ( h h 1 ) 0.04 in. s max 60 ksi M 600 lb-in. h 0.88 in. h 1 0.80 in. Solve for : b min L 0.24 in. ; b 60 ksi 2.57 c 6(600 lb-in.) b (0.80 in.) 2 d s max K s nom K a 6 M bh 1 2 b Problem 5.13-4 A rectangular beam with semicircular notches, as shown in part (b) of the figure, has dimension and . The maximum allowable bending stress in the plastic beam is , and the bending moment is . Determine the minimum permissible width of the beam. b min M 150 N # m s max 6 MPa h 1 100 mm h 120 mm Solution 5.13-4 Beam with semicircular notches From Fig.5-50: K L 2.20 R h 1 10 mm 100 mm 0.10 h h 1 + 2 R R 1 2 ( h h 1 ) 10 mm s max 6 MPa M 150 N # m h 120 mm h 1 100 mm Solve for :
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Unformatted text preview: b min L 33 mm ; b 6 MPa ± 2.20 c 6(150 N # m) b (100 mm) 2 d s max ± K s nom ± K a 6 M bh 1 2 b Problem 5.13-5 A rectangular beam with notches and a hole (see figure) has dimensions in., in., and width in. The beam is subjected to a bending moment ., and the maximum allowable bending stress in the material (steel) is . (a) What is the smallest radius that should be used in the notches? (b) What is the diameter of the largest hole that should be drilled at the midheight of the beam? d max R min s max ± 42,000 psi M ± 130 k-in b ± 1.6 h 1 ± 5 h ± 5.5 M M d h 1 h 2 R 05Ch05.qxd 9/25/08 2:29 PM Page 494...
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