Question 23 Timber 3: Timber beams are widely used in home construction. When the load (measured in pounds) per unit length has a constant value over part of a beam, the load is said to be uniformly distributed over that part of the beam. Uniformly distributed beam loads were used to derive the stiffness distribution of the beam in the American Institute of Aeronautics and Astronautics Journal (May 2013). Consider a cantilever beam with a uniformly distributed load between 200 and 230 pounds per linear foot. Find a value L such that the probability that the beam load exceeds L is only 0.55 Give your answer to 1 decimal places. Answer: 216.5

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