Set For all problems, write a problem statement, provide sketches, and comment on your thought process. Draw free body diagrams as applicable. 1. Bending of a Wide-Flange Beam Consider the beam subjected to different loads as shown in figure below. (a) Draw the shear and moment diagrams for this beam, determine the shear and moment throughout the beam as functions of x and determine the maximum moment, Mmax. (b) Determine the moment of inertia, I, for the given cross-section. (c) Determine the absolute maximum bending stress, max, acting on the beam. (d) Determine the maximum shear stress, max, acting on the beam due to the shear force. (e) Design engineers usually strengthen steel sections by designing an additional steel plate welded to the web of the section as shown in the figure. Determine the required thickness of the steel plate (t) [in] to make the maximum shear stress smaller than the allowable shear stress of 10 ksi. Hint: You need to find Q, I and t in terms of thickness of the steel plate to determine shear stress in the new