Problem 5.6-9A beam ABCwith an overhang from Bto Cisconstructed of a C10 3 30 channel section (see figure). The beamsupports its own weight (30 lb/ft) plus a uniform load of intensity qacting on the overhang. The allowable stresses in tension andcompression are 18 ksi and 12 ksi, respectively. Determine the allowable uniform load qallowif the distance Lequals 3.0 ft. Solution 5.6-9Beam with an overhangSECTION 5.6Design of Beams309qABCC0.649 in.2.384 in.3.033in.10.0 in.LLDATAC10 330 channel sectionc152.384 in.c250.649 in.I5 3.94 in.4(from Table E-3)q05weight of beam ABC530 lb/ft 52.5 lb/in.q5load on overhangL5length of overhang53.0 ft = 36 in.ALLOWABLE STRESSESst518 ksisc512 ksiMAXIMUM BENDING MOMENTMmaxoccurs at support B.Tension on top; compression on bottom.Mmax5(q1q0)L22ALLOWABLE BENDING MOMENTBASED UPON TENSIONALLOWABLE BENDING MOMENTBASED UPON COMPRESSIONALLOWABLE BENDING MOMENTTension governs.Mallow529,750 lb-in.ALLOWABLE UNIFORM LOADq545.91 22.5
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Second moment of area, allowable bending moment, Allowable Uniform Load