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Question: a preliminary design on the use of a simply supported...

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A preliminary design on the use of a simply supported prismatic timber beam indicated that a beam with a rectangular cross section 40 mm wide and 160 mm deep would be required to safely support the load shown in part a of the figure. It was then decided to replace the beam with a built-up beam obtained by gluing together, as shown in part b of the figure, four pieces of the same timber as the original beam and of 40 40-mm cross section. Determine the leagth / of the two outer pieces of timber that will yield the same factor of safety as the original design 1.5 m in

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