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620_Mechanics Homework Mechanics of Materials Solution

620_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 5.144 5.143 and 5.144Apreliminary designbased onthe useof 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 ofthe 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. SOLUTION RAtRE Shear? -‘=-o.4w Areas: (o-31(o.4)w - 0.32 w = 0.02 w Bending 'Momen'i's. Ai’ C. Me = 0.40 w A-l-o C = 0-40 wx A+ C ...
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