6. A simply supported beam with length L has a point load with magnitude, P, in the center (Figure 3a). A second simply supported beam with length 2L (with the same cross sectional geometry as the first beam) also has a point load with magnitude, P, in the center (Figure 3b). Both beams have the same modulus of elasticity, E, and the same cross section with the same moment of inertia, I. A. Find the maximum deflection in both beams in terms of the variables given. (Please use I for moment of inertia, i.e. you don't need to calculate the moment of inertia). B. Find the maximum bending stress in terms of the variables given at points A and B in the cross section if the beam has the geometry shown in Figure 3c. C. What is the ratio of the stress at A for the first beam to the stress at A for the second beam? D. What is the ratio of the maximum deflections? E. What do these ratios tell us? Figure 3a: First beam, simply supported beam of length L with a point load, P, in the center Figure 3b: Second beam, simply supported beam of length