A simple beam has a span of 4.0 m, depth of 250 mm, and width of 100 mm. The beam is made of 6061-T651 aluminum alloy and is loaded by a concentrated load P at midspan. The design load for the beam has been calculated using a factor of safety of 3.0 and assuming the general yielding theory of failure. Determine the magnitude of P. An inspection of the beam located a transverse crack a distance of 1.50 m from one end. The crack has a depth of 24.0 mm. What is the factor of safety for the beam against brittle fracture?
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