05-02ChapGere.0006

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Problem 5.6-9 A beam ABC with an overhang from B to C is constructed of a C 10 3 30 channel section (see figure). The beam supports its own weight (30 lb/ft) plus a uniform load of intensity q acting on the overhang. The allowable stresses in tension and compression are 18 ksi and 12 ksi, respectively. Determine the allowable uniform load q allow if the distance L equals 3.0 ft. Solution 5.6-9 Beam with an overhang SECTION 5.6 Design of Beams 309 q A B C C 0.649 in. 2.384 in. 3.033 in. 10.0 in. LL D ATA C 10 3 30 channel section c 1 5 2.384 in. c 2 5 0.649 in. I 5 3.94 in. 4 (from Table E-3) q 0 5 weight of beam ABC 5 30 lb/ft 5 2.5 lb/in. q 5 load on overhang L 5 length of overhang 5 3.0 ft = 36 in. A LLOWABLE STRESSES s t 5 18 ksi s c 5 12 ksi M AXIMUM BENDING MOMENT M max occurs at support B . Tension on top; compression on bottom. M max 5 ( q 1 q 0 ) L 2 2 A LLOWABLE BENDING MOMENT BASED UPON TENSION A LLOWABLE BENDING MOMENT BASED UPON COMPRESSION A LLOWABLE BENDING MOMENT Tension governs. M allow 5 29,750 lb-in. A LLOWABLE UNIFORM LOAD q 5 45.91 2 2.5
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