Learning Goal: To determine the absolute maximum bending stress in a rectangular cross section that has a circular cutout and is subjected to unsymmetrical bending in the y- and z-directional planes, and to determine the angles of the neutral axes established by the applied moments. The rectangular cross section ABCD shown below has a circular cutout of diameter d = 50.0 mm through its center. The member is subjected to two externally applied moments M₁ = 6.0 kN·m and M₂ =17.0 kN·m at angles 01 = 35.0 degrees from the y axis in the yz plane and 02 = 25.0 degrees from the z axis in the yz plane, respectively. The rectangular cross section has a height of h = 300.0 mm and a width of w = 120.0 mm . A h h 12742 B M₁₁ M2 2 W D Part A - Free-body diagram of the resolved components of the moments The two externally applied moments can be resolved into their respective y and z components. Determine the moments in each principal direction, M, and M., and draw the corresponding free-body diagram. Draw the vectors My and M, that represent the total y and z components of the two externally applied moments. Assume all angles are measured in degrees. ▸ View Available Hint(s) No elements selected Part B - Moments of inertia of the cross section with respect to the y- and z-axes To calculate the absolute maximum bending stress in the member using the flexure formula for unsymmetrical bending, the moments of inertia of the cross section must be calculated. Select the correct formulas for these values. ▸ View Available Hint(s) I₁ =xhxw³-xxxd; I = 1xwxh³ - ½ × × Iy xhxwxd; I => xwxh³+xxxd4 = 61 = xwxh³ xxx d¹ ХП 61 xxx d¹ Iy=xhxwxπxd; I = 1xwxh³ Submit Part C - Neutral-axis angle due to externally applied moments The neutral axis angle of the cross section being analyzed is the axis along which there is a zero stress value. Determine the neutral axis angle, a, due to the externally applied moments as measured counterclockwise from the positive z axis in the yz plane. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) x= Value Units ? Part D - Absolute maximum stress in cross section ABCD Determine the absolute maximum stress, |σ max, in cross section ABCD due to the two externally applied moments. Express the answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) ☐ μÅ ? |σ max | = Value Units Submit