This question is intended to show the value of reinforcing steel in concrete by comparing the moment capacity with and without steel (and on the side, recap a bit of 220). We will use the stress strain curve below for a 4000 psi concrete and our 6x6 concrete beam geometry from the lab. The orange curve and function are the actual, while the blue is the approximate linearized behavior for small strains. (a) Unreinforced beams will collapse suddenly when the tensile stresses reach the modulus of rupture. This will only be ~10-20% of the compressive strength (you will have found some better equations in question 2c), so unreinforced beams are a very inefficient way to use concrete. Until the advent of reinforced concrete, this meant that concrete was be used for compression structures, such as columns and arches. On the other hand, unreinforced concrete beam tests are a nice way to find the modulus of rupture. Your task: sketch the through-thickness stress distribution for the strain diagram below. You may use the blue linearized stress strain curve for this as the rupture strain is so small. Note, this is a simple task, you are translating known strains to stresses using