Question

Two similar beams are delivered to a construction site. Each beam is a hollow box beam, constructed of A36 structural steel, (E=29.0 x 106 psi, density of 490 lbm/ft?), each beam having outside dimensions of 16" base and 18" height, 18 feet long. Beam A has top and bottom wall thicknesses of 0.5" and side wall thickness of 0.375". Beam B has top and bottom wall thicknesses of 0.4375" and side wall thickness of 0.3125". The structure to be constructed calls for a beam that will support a point load of 55,000 lbf at the mid- point of the span of the beam, 16 feet between supports, with a maximum allowable deflection at the mid-point of 0.20" 1. The Contractor places Beam A into position according to the construction plans. Will this beam support the design load without exceeding the allowable deflection? If so, what is the factor of safety of the beam as installed? If not, what is the actual deflection of beam at the design load? What is the weight of Beam A as installed? Document your work. If a problem exists based on your analysis, describe the problem and present a recommended solution to the problem, including any effects this may cause to the construction of the project (.e., additional costs, delays to the schedule, performance of the structure compared to its design and intended purpose, etc.). Document this in a memo to your project manager and be prepared to make an oral presentation (2-3 minutes) to the project manager if needed to defend your solution.

Answer 1

Soli- 5500lb. Giver load A36 strucural Steel Generally steel framed structors are designed PINNED Hente assuming the condition of simply supported beam .P 55000 - ہے۔ 7 litl < 16- الواردرا ا Pl3 16" 480I Sex = I positive - Inaghive 65000 X11671233 4.8 x 29x100x1532.39 BU sh TE 72 0.1817" = 16X183 15.25 x 173 which is 20.2" 12 z 1 532.39 inces" > yes the beam will support the design load without exceeding mak. defletion Efriteria (0.2%) For facter Scitly.

0.2 - ľ x 1923 4.8x294108 x 1532.39 P= 60,274.67 Henca fos = 60274.67 55606 How 1095 weight of beam (18H' long) for crosselional Areax 1847* 490461175 (18x16-17x 15-25) Incher? x 1847 8490 16/173 l' (28 28-75 /2012) et² x loft x 49016 IHS -1766-93 db fry