(Solved): Problem 1: 25 points The free body diagram of an overhang beam with the support reactions, Ay and ...

Problem 1: 25 points
The free body diagram of an overhang beam with the support reactions, Ay and By, is shown in
Figure 1.1 along with the cross-section geometry.
Figure 1.1: Free Body Diagram of overhang beam with cross-section
a) Draw the shear force and bending moment diagrams for beam ABC using the graphical
method.
b) Find the cross-section centroid and moment of inertia with respect to the neutral axis.
c) Calculate the maximum tensile and compressive stresses in the beam and indicate their
locations.
d) If the beam material is stronger in compression compared to tension, what would be the
orientation of the cross-section that minimizes the chances of failure? As given or flipped 180°?

Problem 1:25 points The free body diagram of an overhang beam with the support reactions, $${\mathrm{A}}_{\mathrm{y}}$$ and $${\mathrm{B}}_{\mathrm{y}}$$, is shown in Figure 1.1 along with the cross-section geometry. Figure 1.1: Free Body Diagram of overhang beam with cross-section a) Draw the shear force and bending moment diagrams for beam ABC using the graphical method. b) Find the cross-section centroid and moment of inertia with respect to the neutral axis. c) Calculate the maximum tensile and compressive stresses in the beam and indicate their locations. d) If the beam material is stronger in compression compared to tension, what would be the orientation of the cross-section that minimizes the chances of failure? As given or flipped $$180^{?}$$ ?