Problem 5.6-19A steel plate (called a cover plate) having cross-sectional dimensions 4.0 in. 3 0.5 in. is welded along the full length ofthe top flange of a W12 3 35 wide-flange beam (see figure, which showsthe beam cross section).What is the percent increase in section modulus (as compared to thewide-flange beam alone)?Solution 5.6-19Beam with cover plate316CHAPTER 5Stresses in Beams (Basic Topics)4.0 30.5 in. cover plateW12 335All dimensions in inches.WIDE-FLANGE BEAM ALONE(AXIS1-1IS CENTROIDAL AXIS)W12 335d512.50 in.A0510.3 in.2I052.85 in.4S0545.6 in.3BEAM WITH COVER PLATE(zAXIS IS CENTROIDAL AXIS)A15A01(4.0 in.)(0.5 in.) 512.3 in.2First moment with respect to axis 1-1:513.00 in.3c256.251y57.307 in.c156.2510.52y55.693 in.y5Q1A1513.00 in.312.3 in.251.057 in.Q15ayiAi5(6.25 in.10.25 in.)(4.0 in.)(0.5 in.)Moment of inertia about axis 1-1:5369.5 in.4Moment of inertia about zaxis:Iz5369.5 in.42(12.3 in.2)(1.057 in.)25355.8 in.4SECTION MODULUS(Use the smaller of the two sectionmoduli)INCREASE IN SECTION MODULUSPercent increase 56.8%S1S0548.6945.651.068S15I
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