Physics > QUESTIONS & ANSWERS > University of Washington CEE 220 HW9 (1)-QUESTIONS WITH VERIFIED ANSWERS (All)

University of Washington CEE 220 HW9 (1)-QUESTIONS WITH VERIFIED ANSWERS

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Homework Assignment No. 9 Winter 2018 Due: March 10th Problem Set For all problems, write a problem statement, provide sketches, and comment on your thought process. Draw free body diagrams as app ... licable. 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, σmax, acting on the beam. (d) Determine the maximum shear stress, τmax, 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 section. 1CEE 220 2 2. Bending of Compound Beam Consider the compound beam consists of two segments that are pinned together at B, loaded as shown in figure below. L W 8 in 0.5 in 10 in 1 in L A B C x x ! (a) Draw the shear and moment diagrams for this beam and determine the maximum moment, Mmax as a function of W. (b) Determine the moment of inertia, I, for the given cross-section. (c) If L = 10 ft, determine the largest intensity of the distributed load, W, in lb=in which the beam can withstand such that the maximum bending stress does not exceed its allowable value of σmax = 3 [Show More]

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