the beam bending capacity

Project description We introduced three ways to improve the beam bending capacity in class. Write a technical report to discuss the optimized beam design by reasonably arrange the supports, reasonably apply loads and reasonably choose the cross section area. The cross section of the beam is rectangular with b as width and h as height. 1. Reasonably arrange the supports Baseline case: A simply supported beam with a span of L is subjected to a distributed load over the span with load density of q. Find the optimized design by arranging the location of supports. Don’t change the beam 2. Baseline case: A simply supported beam with a span of L is subjected to a distributed load over the span with load density of q. Find the optimized design by considering the location where the concentrated force F is applied. F=qL. 3. Use the two configurations I give you in class. Project requirements: 1. Technical report show include detailed steps of analysis. For example, the shear force and moment diagrams, the locations in the beam where  max and max  are found. The analysis of  max and max  , etc. 2. Present and discuss your results in a clear and concise manner. Be creative to use graphics to show your results. 3. 10 points bonus for discussing other reasonable ways to improve beam bending capacity.