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05-02ChapGere.0014

# 05-02ChapGere.0014 - A-PDF Split DEMO Purchase from...

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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 allow S b 3 3 qL 2 4 s allow qL 2 2 s allow ¢ 2 b 3 3 M max qL 2 2 S bh 2 6 2 b 3 3 A B C b 2 b q 2 L L R A 3 qL 4 R B 9 qL 4 9 qL 2 32 A B C qL 2 2 M 0 L 150 mm q 3.5 kN/m allow 60 MPa 77.0 kN/m 3 Substitute numerical values: b 0.00995 m 9.95 mm (b) I NCLUDE THE WEIGHT OF THE BEAM q 0 weight of beam per unit length q 0 ( b )(2 b ) 2 b 2 M max allow S Rearrange the equation: 4 allow b 3 6 L 2 b 2 3 qL 2 0 Substitute numerical values: (240 10 6 ) b 3 10,395 b 2 236.25 0 ( b meters) Solve the equation: b 0.00996 m 9.96 mm 1 2 ( q 2 g b 2 ) L 2 s allow ¢ 2 b 3 3 S 2 b 3 3 M max ( q q 0 ) L 2 2 1 2 ( q 2 g b 2 ) L 2 b 3 3(3.5 kN m)(150 mm) 2 4(60 MPa) 0.98438 10 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 1 100 lb/ft 2 at the top of the wall and p 2 400 lb/ft 2 at
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