part (b). |--213-1² 12 in. 2 in. 2 in. 2 in. 3 in. 2 in. 3 in. 4 in. 4 in. (a) (c) (b) The allowable shear stress in the glued joints is 35 psi, the allowable shear stress in the wood is 175 psi, and the allowable bending stress in the wood is 1,964 psi. (a) If the beam is 12 ft long, what is the allowable load P (in kips) 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/ft³.) kips (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 (see figure part (c)).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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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).
P
1/3 - 1²
2 in.
3 in.
2 in.
2 in.
2 in.
3 in.
2 in.
L
(a)
4 in.
4 in.
(c)
(b)
The allowable shear stress in the glued joints is 35 psi, the allowable shear stress in the wood is 175 psi, and the allowable bending stress in the wood is 1,964 psi.
(a) If the beam is 12 ft long, what is the allowable load P (in kips) 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/ft³.)
kips
(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 (see figure part (c)).
kips
Transcribed Image Text: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). P 1/3 - 1² 2 in. 3 in. 2 in. 2 in. 2 in. 3 in. 2 in. L (a) 4 in. 4 in. (c) (b) The allowable shear stress in the glued joints is 35 psi, the allowable shear stress in the wood is 175 psi, and the allowable bending stress in the wood is 1,964 psi. (a) If the beam is 12 ft long, what is the allowable load P (in kips) 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/ft³.) kips (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 (see figure part (c)). kips
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