434_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

434_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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428 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.6-21 Retaining wall (1) P LANK AT THE BOTTOM OF THE DAM width of plank (perpendicular to the plane of the figure) maximum soil pressure spacing of piles Solve for : (2) V ERTICAL PILE soil pressure at the top 100 lb/ft 2 0.6944 lb/in. 2 p 1 h 5 ft 60 in. s A 4 s allow t 2 3 p 2 72.0 in. s M max s allow S or p 2 bs 2 8 s allow a bt 2 6 b M max qs 2 8 p 2 bs 2 8 S bt 2 6 S section modulus q p 2 b s allow 1200 psi s 400 lb/ft 2 2.778 lb/in. 2 p 2 b t thickness of plank 3 in. diameter of pile Divide the trapezoidal load into two triangles (see dashed line). Solve for : P LANK GOVERNS s max 72.0 in. ; s 3 ps allow d 3 16 h 2 (2 p 1 + p 2 ) 81.4 in. s sh 2 6 (2 p 1 + p 2 ) s allow a p d 3 32 b S p d 3 32 M max s allow S or M max 1 2 ( q 1 )( h ) a 2 h 3 b 1 2 ( q 2 )( h ) a h 3 b sh 2 6 (2 p 1 p 2 ) 12 in. d q 2 p 2 s q 1 p 1 s Problem 5.6-22 A beam of square cross section ( length of each side) is bent in
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