Problem 5.6-15A beam having a cross section in the form of anunsymmetric wide-flange shape (see figure) is subjected to a negativebending moment acting about the zaxis. Determine the width bof the top flange in order that the stresses atthe top and bottom of the beam will be in the ratio 4:3, respectively. Solution 5.6-15Unsymmetric wide-flange beamSECTION 5.6Design of Beams313MAXIMUM BENDING MOMENT515,159 116,170b2(N ? m)Mmax5sallowS15,159116,170b25(153106N/m2)¢8b327≤S5bh2658b327Mmax5(q1q0)L122512(6875 N/m17333b2)(2.1 m)2Rearrange the equation:(120 3 106)b3 2 436,590b2 2 409,300 50SOLVE NUMERICALLY FOR DIMENSIONbb50.1517 mREQUIRED DIMENSIONSb5152 mmh5202 mmh54b350.2023 m1.5 in.1.25 in.1.5 in.zbyC16 in.12 in.Stresses at top and bottom are in the ratio 4:3.Find b(inches)h5height of beam 515 in.LOCATE CENTROIDc2537h545756.42857 in.
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.