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Solution 5.6-20 Beam with an overhang SECTION 5.6 Design of Beams 317 (a) D ISREGARD THE WEIGHT OF THE BEAM M max 5 s allow S b 3 5 3 qL 2 4 s allow qL 2 2 5 s allow ¢ 2 b 3 3 M max 5 qL 2 2 Ê S 5 bh 2 6 5 2 b 3 3 A B C b 2 b q 2 LL R A 5 3 qL 4 R B 5 9 qL 4 9 qL 2 32 A B C qL 2 2 M 0 L 5 150 mm q 5 3.5 kN/m s allow 5 60 MPa g 5 77.0 kN/m 3 Substitute numerical values: b 5 0.00995 m 5 9.95 mm (b) I NCLUDE THE WEIGHT OF THE BEAM q 0 5 weight of beam per unit length q 0 5 g ( b )(2 b ) 5 2 g b 2 M max 5 s allow S Rearrange the equation: 4 s allow b 3 2 6 g L 2 b 2 2 3 qL 2 5 0 Substitute numerical values: (240 3 10 6 ) b 3 2 10,395 b 2 2 236.25 5 0 ( b 5 meters) Solve the equation: b 5 0.00996 m 5 9.96 mm 1 2 ( q 1 2 g b 2 ) L 2 5 s allow ¢ 2 b 3 3 S 5 2 b 3 3 M max 5 ( q 2 q 0 ) L 2 2 5 1 2 ( q 1 2 g b 2 ) L 2 b 3 5 3(3.5 kN / m)(150 mm) 2 4(60 MPa) 5 0.98438 3 10 2 6 m 3 Problem 5.6-21 A retaining wall 5 ft high is constructed of horizontal wood planks 3 in. thick (actual dimension) that are supported by vertical wood piles of 12 in. diameter (actual dimension), as shown in the figure. The lateral earth pressure is p 1 5 100 lb/ft 2 at the top of the wall and p 2 5 400 lb/ft
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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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