05-02ChapGere.0008

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Solution 5.6-11 Moving carriage SECTION 5.6 Design of Beams 311 P 1 5 load on front axle 5 2000 lb P 2 5 load on rear axle 5 4000 lb L 5 16 ft d 5 5 ft s allow 5 15 ksi x 5 distance from support A to the larger load P 2 (feet) 5 125(43 2 3 x )( x 5 ft; R A 5 lb) 5 (4000 lb) ¢ 1 2 x 16 1 (2000 lb) ¢ 1 2 x 16 2 5 16 R A 5 P 2 ¢ L 2 x L 1 P 1 ¢ L 2 x 2 d L B ENDING MOMENT UNDER LARGER LOAD P 2 M 5 R A x 5 125(43 x 2 3 x 2 x 5 ft; M 5 lb-ft) M AXIMUM BENDING MOMENT Set equal to zero and solve for x 5 x m . 5 19, 260 lb-ft 5 231,130 lb-in. (a) M INIMUM SECTION MODULUS (b) S ELECT ON I- BEAM ( S SHAPE ) Table E-2. Select S 8 3 23 ( S 5 16.2 in. 3 ) S min 5 M max s allow 5 231,130 lb-in. 15,000 psi 5 15.41 in. 3 M max 5 ( M ) x 5 x m 5 125 B (43) ¢ 43 6 2 3 ¢ 43 6 2 R dM dx 5 125(43 2 6 x ) 5 0 Ê x 5 x m 5 43 6 5 7.1667 ft dM dx d L P 2 P 1 A B R A x Problem 5.6-12 A cantilever beam AB of circular cross section and length L 5 450 mm supports a load P 5 400 N acting at the free end (see figure). The beam is made of steel with an allowable bending stress of 60 MPa. Determine the required diameter d min of the beam, considering the effect of the beam’s own weight.
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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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