Problem 5.6-19A steel plate (called a cover plate) having cross-sectionaldimensions is welded along the full length of the bottom flange of a wide-flange beam (see figure, which shows the beam cross section).What is the percent increase in the smaller section modulus (as compared tothe wide-flange beam alone)?W12*506.0 in.*0.5 in.426CHAPTER 5Stresses in Beams (Basic Topics)Solution 5.6-19NUMERICAL PROPERTIES FOR(FROMTABELE-1(a))FIND CENTROID OF BEAM WITH COVER PLATE(TAKE1ST MOMENTS ABOUT TOP TO FIND)c2±(d+0.5)²c1c2±5.518 in.c1±Ad2+(6) (0.5) ad+0.52bA+(6) (0.5)c1±7.182 in.c17c2I±391 in.4S±64.2 in.3c1±c2c1±d2A±14.6 in.2d±12.2 in.W12*50FINDIABOUT HORIZ. CENTROIDAL AXISFIND SMALLER SECTION MODULUS% increase in smaller section modulusStop²SS(100)±6.57%;Stop±Ihc1Stop±68.419 in.3Ih±491.411in.4+(6) (0.5)ac2²0.52b2Ih±I+Aac1²d2b2+112(6) (0.5)
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