464 CHAPTER 15 Bending of Open and Closed, Thin-Walled Beams
Fig.15.33
Second moment of area of a semicircular section.
fromwhich
Ixx=
πr^3 t
2
Example 15.14
Determinethedirectstressdistributioninthethin-walledZ-section,showninFig.15.34,producedby
apositivebendingmomentMx.
The section is antisymmetrical with its centroid at the midpoint of the vertical web. There-
fore, the direct stress distribution is given by either of Eq. (15.18) or (15.19) in whichMy=0.
Fig.15.34
Z-section beam for Example 15.14.