540CHAPTER 6Stresses in Beams (Advanced Topics)Problem 6.5-12A C 20017.1 channel section has an anglewith equal legs attached as shown; the angle serves as a lintelbeam. The combined steel section is subjected to a bendingmoment Mhaving its vector directed along the zaxis, as shownin the figure. The centroid Cof the combined section is locatedat distances xcand ycfrom the centroid (C1) of the channel alone.Principal axes x1and y1are also shown in the figure and proper-ties Ix1, Iy1and upare given below.Find the orientation of the neutral axis and calculate themaximum tensile stress stand maximum compressive stress scifthe angle is an L 76766.4 section and M3.5 kNm. Usethe following properties for principal axes for the combinedsection: Ix118.49106mm4Iy11.602106mm4, up7.448° (CW), xc10.70 mm, yc24.07 mm.#yzMCC1ycxcC200 17.1L76 76 6.4lintely1x1upSolution 6.5-12M3.5 kNmup7.448°ANGLE:ca21.2 mmLa76 mmCHANNEL:cc14.5 mmdc203 mm
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Trigraph, Second moment of area, Compressive stress, ZPA