6. The figure (next page) shows an experimental set-up for testing the bending capacity of a wood cross-beam. Note that the grain directions for the two support columns are different. The vertical columns have a cross-section of 3 in. x 3 in., and are both 5 in. long. The beam has a cross-section of 2 in. x 4 in. and has a length of 8 in. The stronger column has a compressive strength of 4675 psi and a modulus of elasticity of 0.8 x 106 psi. The weaker column has a compressive strength of 1545 psi and a modulus of 0.4 x 106 psi. a. What is the maximum allowable load, P, on the beam if its modulus of rupture (MOR) is 5230 psi and the moment M=2P? b. If a total load P= 28000 lb is supported, wil either column fail due to this load? Show calculations to support your answer.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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6. The figure (next page) shows an experimental set-up for testing the bending capacity of a
wood cross-beam. Note that the grain directions for the two support columns are different.
The vertical columns have a cross-section of 3 in. x 3 in., and are both 5 in. long. The beam
has a cross-section of 2 in. x 4 in. and has a length of 8 in. The stronger column has a
compressive strength of 4675 psi and a modulus of elasticity of 0.8 x 106 psi. The weaker
column has a compressive strength of 1545 psi and a modulus of 0.4 x 106 psi.
a. What is the maximum allowable load, P, on the beam if its modulus of rupture
(MOR) is 5230 psi and the moment M=2P?
b. If a total load P= 28000 Ib is supported, wil either column fail due to this load? Show
calculations to support your answer.
Transcribed Image Text:6. The figure (next page) shows an experimental set-up for testing the bending capacity of a wood cross-beam. Note that the grain directions for the two support columns are different. The vertical columns have a cross-section of 3 in. x 3 in., and are both 5 in. long. The beam has a cross-section of 2 in. x 4 in. and has a length of 8 in. The stronger column has a compressive strength of 4675 psi and a modulus of elasticity of 0.8 x 106 psi. The weaker column has a compressive strength of 1545 psi and a modulus of 0.4 x 106 psi. a. What is the maximum allowable load, P, on the beam if its modulus of rupture (MOR) is 5230 psi and the moment M=2P? b. If a total load P= 28000 Ib is supported, wil either column fail due to this load? Show calculations to support your answer.
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