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### 5.3. Pure Bending of Beams of Asymmetrical Cross Section

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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 M_{y} and M_{z} 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 σ_{x} 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