Problem 1 (45 points) [Required]:\ A balcony on a mixed office and residential use building in a sheltered area that is attached at roof level and supported by three cantilever beams, is shown below. The entire roof is flat.\ \ a. Dead Load: Calculate the dead load (plf) that the center balcony beam must support.\ b. Snow Load: Calculate the uniformly distributed snow load (plf) supported by the center balcony beam, if the ground snow load is

30psf

.\ c. Maximum Internal Load Effect: Draw a complete FBD (free body diagram) and corresponding

V

and

M

diagrams for the center balcony beam, and report (calculate) the maximum moment and maximum shear that the beam must be designed to support given the information above.\ d. Maximum Deflection: Using the appropriate equation from a beam table, determine the expected displacement of the free end of the beam for dead load alone, and for the case of dead + snow loads.\ e. Critical Review: Explain why you selected the value of the load you used for the flooring, and the implications of your decision.