Design the beam and column system shown in the figure below (NOTE: The support conditions are not realistic and are only used for class purpose to simplify structural analysis and design process). Check for flexure, shear and deflection in beam. Whenever you use code, please also report the page number that you referred to and the values that you are looking into. Units should be mentioned wherever applicable. All intermediate steps should be shown for partial credit. DL: (45+ 15x) k LL: (64 + 10x) k A (16+ x) ft. < < 5 ft. > C (13+x) ft. (57+ 12x) k (81 + 18x) k E (6 + x) k/ft (5.5+ x) k/ft B OPTIONAL (50 + 20x) k (47 + 12x) k (6 + x) k/ft (5.5+ x) k /ft (45+ 15x) k (64+ 10x) k D Legend: A (155+x) k (160 + x) k (50 + x) k (142+x) k (12 + x) ft. Symbol i) Minimum cost of the beam system (when W 21 x 62 is free) ii) Most economic cost of the beam system if the sections W 21 x 62 were not freely available iii) Most economical cost of column system. .. A O (20+x) k (10+x) k (30 + x) ft Use steel with Fy = 50 ksi. Allowable deflection is 1/360 of the span of the beam. Assume that the sections W 21 x 62 are available to you for no cost. Assume the cost of steel for any other sections = $ 4.5/lb. (finished). In case you do not find a relevant constant for a loading condition (Cb, Cv or C), use the constant that corresponds to the worst-case scenario. (NOTE: The only intent of this instruction is to simplify the problem. Calculated values of the constants MUST be used in real design.) Please calculate, OPTIONAL: The concentrated load provided on top of UDL in mid-span of beam CD is optional. C E (65+ x) k (85+ x) k Meaning Beam section Column section (225+ x) k (100+ x) k Bracing at center of the beam span Concentrated load D Uniformly distributed load Hinge support Roller support Fixed support DL: (20 + x) k LL: (10 + x) k Span = (30 + x) ft long