Problem 1. A rectangular beam has width b = 15% effective depth d = 22", and total depth h = 25". The beam is simply supported and has a span of 20' The uniformly distributed load over the beam span consists of Wp = 1.0 kips/ft (including self-weight), and wp = 1.8 kips/ft. The reinforcement consists of three evenly spaced #8 bars in one row. The lateral clear cover on both sides is 2" The material strengths are f = 4000 psi and fy = 60,000 psi. a) Compute the stress in the steel at full service load. Use the Gergely-Lutz equation to estimate the maximum crack width. b) Confirm the suitability of the design based on the ACI equation for maximum allowable center-to-center spacing of the tensile reinforcing bars. c) Repeat part a) using four evenly spaced #7 bars in one row (which provides approximately the same As as the three #8 bars). What percentage change in crack width is acheived?