A beam is subjected to equal bending moments M = 6.5 kip-ft, asshown. The cross-section of the beam is also shown. The toprectangular area (1) has cross-section dimensions b1 x d1, asshown, where b1 = 6.5 in. and d1 =1.50 in. The left and rightrectangular legs (2) and (3) are of dimensions b2 x d2 as shown,where b2=0.75 in. and d2=6.0 in. Determine: (a) the centroidlocation, the moment of inertia about the z axis, and thecontrolling section modulus about the z axis. (b) the bendingstress at point H, which is located yH = 1.0 in. below the zcentroidal axis. State whether the normal stress at H is tension orcompression. (c) the maximum bending stress produced in the crosssection. State whether the stress is tension or compression.Calculate the cross-sectional areas A1, A2, and A3 for areas (1),(2), and (3), respectively. Answers: A1 = in.2. A2 = in.2. A3 =in.2.

Part 2 Determine the location of the y direction centroids ofareas (1), (2), and (3) with respect to the reference axis at thebottom of the cross-section.

Part 3 Determine the centroid location in the y direction forthe beam cross-section with respect to the reference axis at thebottom of the cross-section.

Part 4 Determine the moment of inertia Ic1 for area (1) aboutits own centroid, y1.

Part 5 Determine the moment of inertia Iz1 for area (1) aboutthe z centroidal axis of the cross-section.

Part 6 Determine the moment of inertia Ic2 for area (2) aboutits own centroid, y2.

Part 7 Determine the moment of inertia Iz2 for area (2) aboutthe z centroidal axis of the cross-section.

Part 8 Determine the moment of inertia Ic3 for area (3) aboutits own centroid, y3.

Part 9 Determine the moment of inertia Iz3 for area (3) aboutthe z centroidal axis of the cross-section.

Part 10 Determine the moment of inertia Iz for the cross-sectionabout the neutral axis.

Part 11 Determine the section moduli Stop and Sbot of thecross-section. Note which one is the controlling sectionmodulus.

Part 12 Determine the bending stress at point H (positive iftensile, negative if compressive).

Part 13 Determine the maximum bending stress produced in thecross section. Make a note on paper of whether the stress istension or compression. Note that the maximum bending stress is thebending stress with the largest absolute value. However, report theanswer here using the correct sign according to the flexureformula.