A 5 ft. long laminated wood beam is built up by gluing together three 2” x 6” boards to form asolid beam 6” x 6” cross section, as shown in the figure. Calculate the maximum allowable valueof P (lb.) such that both the (1) allowable shear stress in the glued joints of 100 psi and the (2)allowable bending stress of 1200 psi is not exceeded. (Disregard the weight of the beam).[Formula: Bending Stress: = (M)(y)/I; max = (M)(c)/I; Transverse Shear Stress: =(V)(Q)/(I*t); max = (V)(QNA)/(I*tNA)]
A 5 ft. long laminated wood beam is built up by gluing together three 2” x 6” boards to form asolid beam 6” x 6” cross section, as shown in the figure. Calculate the maximum allowable valueof P (lb.) such that both the (1) allowable shear stress in the glued joints of 100 psi and the (2)allowable bending stress of 1200 psi is not exceeded. (Disregard the weight of the beam).[Formula: Bending Stress: = (M)(y)/I; max = (M)(c)/I; Transverse Shear Stress: =(V)(Q)/(I*t); max = (V)(QNA)/(I*tNA)]
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A 5 ft. long laminated wood beam is built up by gluing together three 2” x 6” boards to form a
solid beam 6” x 6” cross section, as shown in the figure. Calculate the maximum allowable value
of P (lb.) such that both the (1) allowable shear stress in the glued joints of 100 psi and the (2)
allowable bending stress of 1200 psi is not exceeded. (Disregard the weight of the beam).
[Formula: Bending Stress: = (M)(y)/I; max = (M)(c)/I; Transverse Shear Stress: =
(V)(Q)/(I*t); max = (V)(QNA)/(I*tNA)]
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