219_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

219_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.8-2.12.qxd 9/25/08 11:43 AM Page 213 SECTION 2.8 Impact Loading Problem 2.8-2 Solve the preceding problem if the collar has mass M 80 kg, the height h 0.5 m, the length L 3.0 m, the cross-sectional area A 350 mm2, and the modulus of elasticity E 170 GPa. Solution 2.8-2 Collar falling onto a flange (a) DOWNWARD DISPLACEMENT OF FLANGE WL EA dst 0.03957 mm dst c 1 + a 1 + Eq. (2-53): dmax 2h 1/2 bd dst ; 6.33 mm (b) MAXIMUM TENSILE STRESS (EQ. 2-55) Edmax L smax 359 MPa ; (c) IMPACT FACTOR (EQ. 2–61) M 80 kg W Mg Impact factor (80 kg)(9.81 m/s2) dmax dst 6.33 mm 0.03957 mm 784.8 N 160 h 0.5 m L E 170 GPa A ; 3.0 m 350 mm2 Problem 2.8-3 Solve Problem 2.8-1 if the collar has weight W 50 lb, the height h 2.0 in., the length L 3.0 ft, the cross-sectional area A 0.25 in.2, and the modulus of elasticity E 30,000 ksi. Solution 2.8-3 Collar falling onto a flange W 50 lb h L 3.0 ft E 30,000 psi 2.0 in. A 0.25 in.2 36 in. (a) DOWNWARD DISPLACEMENT OF FLANGE dst WL EA Eq. (2 0.00024 in. 53): dmax 2h 1/2 bd dst ; dst c 1 + a 1 + 0.0312 in. 213 ...
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