Problem 1 The "Z" shaped cross-section beam shown in fig. 1 is sub- Jected to a bending moment of magnitude Mb, which is acting in the direction indicated in the figure. (1) De- termine the centroid location. (2) Determine the ax ial and bending stiffnesses in the centroidal axis system T' (G?) indicated on the figure. (3) Using this axis system, compute the orientation of the neutral axis and compute magnitude and location of the maximum axial stress, o. (4) Find the orientation of the principal centroidal axes of bendingT" = ( ). (5) ?sing these axes, determine the magnitude and location of the maxi- mum axial stress. Verify that this is the same result as in step 3. Use the following data: h 95 mm, ba-30 mm. bb-50 mm. tu,-20 mm. t(,-15 mm. and tb-30 mm. --45 degrees. and ?1?-10 kN-m. For this problem, you can make the thin-wall approximation. Perform all the computation in Matlab D C Figure 1: "7" shaped cross