[2 in. 3 in. 2 in. 2 in. [2 in. 2 in. 3 in. 4 in. 4 in. (a) (b) (c) PROBLEM 5.8-9
A laminated wood beam on simple supports (figure part a) is built up by gluing
together four 2 in. X 4 in. boards (actual dimensions) to form a solid beam 4 in. x 8 in.
in cross section, as shown in the figure part b. The allowable shear stress in the glued
joints is 62psi, the allowable shear stress in the wood is 175 psi, and the allowable
bending stress in the wood is 1650 psi.
(a) If the beam is 12 ft long, what is the allowable load P acting at the one-third point
along the beam, as shown? (Include the effects of the beam s own weight, assuming
that the wood weighs 35 lb/ft
3
.)
(b) Repeat part (a) if the beam is assembled by gluing together two 3 in. x 4 in. boards
and a 2 in. X 4 in. board (sec figure part c).
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