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01-01ChapGere.0030

# 01-01ChapGere.0030 - t aver 5 P A s 5 P p dt 5 1000 lb...

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Problem 1.6-7 A special-purpose bolt of shank diameter d 0.50 in. passes through a hole in a steel plate (see figure). The hexagonal head of the bolt bears directly against the steel plate. The radius of the circum- scribed circle for the hexagon is r 0.40 in. (which means that each side of the hexagon has length 0.40 in.). Also, the thickness t of the bolt head is 0.25 in. and the tensile force P in the bolt is 1000 lb. (a) Determine the average bearing stress b between the hexagonal head of the bolt and the plate. (b) Determine the average shear stress aver in the head of the bolt. 30 CHAPTER 1 Tension, Compression, and Shear P d t Steel plate 2 r Solution 1.6-7 Bolt in tension d 0.50 in. r 0.40 in. t 0.25 in. P 1000 lb (a) B EARING STRESS BETWEEN BOLT HEAD AND PLATE A b bearing area A b area of hexagon minus area of bolt A b 0.4157 in. 2 0.1963 in. 2 0.2194 in. 2 (b) S HEAR STRESS IN HEAD OF BOLT A
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Unformatted text preview: t aver 5 P A s 5 P p dt 5 1000 lb p (0.50 in.)(0.25 in.) s b 5 P A b 5 1000 lb 0.2194 in. 2 5 4560 psi 3 2 (0.40 in.) 2 ( Ï 3 ) 2 ¢ p 4 ≤ (0.50 in.) 2 5 3 r 2 Ï 3 2 2 p d 2 4 P d t 2 r 2 r r Area of one equilateral triangle Area of hexagon 5 3 r 2 Ï 3 2 5 r 2 Ï 3 4 Problem 1.6-8 An elastomeric bearing pad consisting of two steel plates bonded to a chloroprene elastomer (an artificial rubber) is subjected to a shear force V during a static loading test (see figure). The pad has dimensions a 5 150 mm and b 5 250 mm, and the elastomer has thickness t 5 50 mm. When the force V equals 12 kN, the top plate is found to have displaced laterally 8.0 mm with respect to the bottom plate. What is the shear modulus of elasticity G of the chloroprene? a b V t A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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