01-01ChapGere.0006

01-01ChapGere.0006 - 1.5 m Solution 1.2-8 Retaining wall...

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Problem 1.2-8 A long retaining wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced, 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the wall is F 5 190 kN. If each shore has a 150 mm 3 150 mm square cross sec- tion, what is the compressive stress s c in the shores? 6 CHAPTER 1 Tension, Compression, and Shear Retaining wall Shore 30 ° 30 ° Concrete thrust block Soil 4.0 m 0.5 m F B C A
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Unformatted text preview: 1.5 m Solution 1.2-8 Retaining wall braced by wood shores Wall Shore 30 ° 4.0 m F B C A 1.5 m 0.5 m F 5 190 kN A 5 area of one shore A 5 (150 mm)(150 mm) 5 22,500 mm 2 5 0.0225 m 2 F REE-BODY DIAGRAM OF WALL AND SHORE C 5 compressive force in wood shore C H 5 horizontal component of C C V 5 vertical component of C C H 5 C cos 30 8 C V 5 C sin 30 8 S UMMATION OF MOMENTS ABOUT POINT A 2 F (1.5 m) 1 C V (4.0 m) 1 C H (0.5 m) 5 or 2 (190 kN)(1.5 m) 1 C (sin 30 8 )(4.0 m) 1 C (cos 30 8 )(0.5 m) 5 ∴ C 5 117.14 kN C OMPRESSIVE STRESS IN THE SHORES 5 5.21 MPa s c 5 C A 5 117.14 kN 0.0225 m 2 © M A 5 ` ~ 30 ° F B A 1.5 m C 30 ° A V A H C V C H A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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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 Tech.

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