02-06ChapGere.0006

02-06ChapGere.0006 - and(c the impact factor Solution 2.8-1...

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Impact Loading The problems for Section 2.8 are to be solved on the basis of the assumptions and idealizations described in the text. In particular, assume that the material behaves linearly elastically and no energy is lost during the impact. Problem 2.8-1 A sliding collar of weight W 5 150 lb falls from a height h 5 2.0 in. onto a flange at the bottom of a slender vertical rod (see figure). The rod has length L 5 4.0 ft, cross-sectional area A 5 0.75 in. 2 , and modulus of elasticity E 5 30 3 10 6 psi. Calculate the following quantities: (a) the maximum downward displacement of the flange, (b) the maximum tensile stress in the rod,
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Unformatted text preview: and (c) the impact factor. Solution 2.8-1 Collar falling onto a flange SECTION 2.8 Impact Loading 149 Collar Rod Flange L h Flange L h W W 5 150lb h 5 2.0in. L 5 4.0ft 5 48in. E 5 30 3 10 6 psi A 5 0.75in. 2 (a) D OWNWARD DISPLACEMENT OF FLANGE Eq. of (2-53): (b) M AXIMUM TENSILE STRESS (E Q . 2-55) (c) I MPACT FACTOR (E Q . 2-61) 5 113 Impact factor 5 d max d st 5 0.0361 in. 0.00032 in. s max 5 E d max L 5 22,600 psi 5 0.0361 in. d max 5 d st B 1 1 ¢ 1 1 2 h d st ≤ 1 / 2 R d st 5 WL EA 5 0.00032 in. Probs. 2.8-1, 2.8-2, and 2.8-3 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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