Shear and Moment diagrams

Please help me solve this problem: Moment capacity of a rectangular timber beam

A timber was planned to be use as a floor beam to support the loads shown. The section was initially designed to have the dimensions shown. For timber its flexural stress is limited to 27.6 mPa. Is the initial design enough to support the load? If not what should be its depth “d”, if the architect wished to maintain the breadth “b” of 100mm?



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