Determine the length l of the two outer pieces of timber

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Reference no: EM131150283

A preliminary design on the use of a simply supported prismatic timber beam indicated that a beam with a rectangular cross section 50 mm wide and 200 mm deep would be required to safely support the load shown in part a of the figure. It was then decided to replace that 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 50 X 50-mm cross section. Determine the length l of the two outer pieces of timber that will yield the same factor of safety as the original design.

Reference no: EM131150283

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