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Solution 5.5-9 Beam in an oil-well pump SECTION 5.5 Normal Stresses in Beams 293 L 5 14 ft P 5 8.8 k b 5 8.0 in. h 5 20.0 in. t f 5 0.875 in. t w 5 0.625 in. h 1 5 h 2 2 t f 5 18.25 in. b 1 5 b 2 t w 5 7.375 in. M max 5 PL 5 (8.8 k)(14 ft) 5 123,200 lb-ft 5 1,478,400 lb-in. 5 5,333.3 in. 4 2 3,735.7 in. 4 5 1,597.7 in. 4 5 9250 psi 5 9.25 ksi s max 5 M max c I 5 (1.4784 3 10 6 lb-in.)(10.0 in.) 1,597.7 in. 4 5 1 12 (8.0 in.)(20.0 in.) 3 2 1 12 (7.375 in.)(18.25 in.) 3 I 5 bh 3 12 2 b 1 h 1 3 12 s max 5 M max c I Ê c 5 h 2 5 10.0 in. b t f h 1 h 2 t w L P Problem 5.5-10 A railroad tie (or sleeper ) is subjected to two rail loads, each of magnitude P 5 175 kN, acting as shown in the figure. The reaction q of the ballast is assumed to be uniformly distributed over the length of the tie, which has cross-sectional dimensions b 5 300 mm and h 5 250 mm. Calculate the maximum bending stress s max in the tie due to the loads P , assuming the distance
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Institute of Technology.

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