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Chapter 5. Bending of Beams > Pure Bending of Beams of Asymmetrical Cross Secti...

5.3. Pure Bending of Beams of Asymmetrical Cross Section

The development of Section 5.2 is now extended to the more general case in which a beam of arbitrary cross section is subjected to end couples My and Mz about the y and z axes, respectively (Fig. 5.3). Following a procedure similar to that of Section 5.2, plane sections are again taken to remain plane. Assume that the normal stress σx acting at a point within dA is a linear function of the y and z coordinates of the point; assume further that the remaining stresses are zero. The stress field is thus

Equation 5.11



  

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