The cantilever-reinforced concrete beam shown in Figure 1 is subjected to a uniform load (including beam weight) and a concentrated load at the free end of the beam. 1.)  Determine the cracking moment capacity, . 2.) Calculate the maximum unfactored applied moment and state whether the concrete beam has cracked under the applied loads.  3.) Compute the maximum compressive stress of concrete at the bottom of the beam and the maximum tensile stress at the centroid of the steel bars. Can you work it out and show all the steps on paper, and any other helpful little steps to explain the process

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A: This question is from concrete technology.

Crack Detection

Concrete materials are meant for supporting structures, building foundations and they act as several load-bearing structures. Over time, due to environmental conditions, and based on the constituent materials used, concrete materials are subjected to a great degree of distress. Corrosion of the reinforcement bars due to chemical influences, uneven base, earthquake, drying shrinkages, and alkali-aggregate reactions are some of the reasons for concrete distress.