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assignment5-solution - Problem4.3..20and4....

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Problem 4.3. For sections in Figures 4.20 and 4.21 the symmetry means that we have bending only about the y axis (same direction as the moment), so that one can use Eqs. 4.31 and 4.32. For the section in Fig. 4.22, the absence of symmetry means that you need to use Eq. 4.33. a. You first want to calculate the moments of inertia (answers: Iy=4Ah2, Iz=2Ah2, Iyz= 2Ah2). b. Then you want to calculate the position of the neutral axis by setting the bending stress to zero in Eq. 4.33. This will allow you to see what point in the cross section is furthest away from the neutral axis and therefore will have the highest stresses. c. Finally you can compare the maximum stress in each one of the three sections and conclude which section is most effective (has the lowest stresses). The stringer web sections shown in figures are subject to shear 0 z V , while 0 Vy . Find the bending stress in the stringers for the same bending moment y M . Which section is most effective in bending?
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