528CHAPTER 6Stresses in Beams (Advanced Topics)Solution 6.4-12L±4.5 mP±500 Na±30°BUILT UP BEAM:Double C 200²17.1Icy±0.545²106mm4Icz±13.5²106mm4c±14.5 mmbc±57.4 mmAc±2170 mm2Iy±2[Icy³Ac(bc´c)2]Iy±9.08²106mm4Iz±2IczIz±27.0²106mm4d±203 mmb±2bcb±114.8 mmBENDING MOMENTSMy±´Pcos(a)LMy1949 N mMzPsin(a)z1125 N m##NEUTRAL AXISnnMAXIMUM TEMSILE STRESSPOINTA:sA±sx(zA, yA)sA±16.6 MPa;zAb2yA±d2sx(z, y)±MyzIy´MzyIzb±79.0°;b±atanaIzIytan (90°´a)bProblem 6.4-13A built-up steel beam of I-section with channels attached to the flanges (see figure part a) is simplysupported at the ends. Two equal and oppositely directed bending moments M0act at the ends of the beam, so that the beamis in pure bending. The moments act in plane mm, which is oriented at an angle ato the xyplane.(a) Determine the orientation of the neutral axis and calculate the maximum tensilestress smaxdue to the moments M0.(b) Repeat part a if the channels are nowwith their flanges pointing away from thebeam flange, as shown in figure part b.Data for the beam are as follows:
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