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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- Summer '10