Concept explainers
(a)
Find the number of wood pieces.
(a)
Answer to Problem 73P
The number of wood pieces required to support the centric load is
Explanation of Solution
Given information:
The effective length of the laminated column is
The adjusted allowable stress for compression is
The adjusted modulus of elasticity is
The centric load acting in the column is
The width of the laminated column is
The depth of each laminated column is
Calculation:
Find the cross sectional area (A) of the column using the equation.
Here, the width of the column is b, the number of pieces is n, and the depth of each piece is d.
Substitute 150 mm for b and 25 mm for d.
Find the radio of the effective length to the dimension of the cross section
Find the stress
Substitute 5.4 GPa for E and
Find the column stability factor
Here, the allowable stress for compression grain is
For Glue laminated column, the value of c is
Substitute
Calculate the allowable stress
Substitute 7.7 MPa for
Calculate the allowable stress
Substitute 52 kN for P and
Substitute
Solve the equation using Solver tool in Excel.
The number of piece required is
Therefore, the number of wood pieces required to support the centric load is
(b)
Find the number of wood pieces.
(b)
Answer to Problem 73P
The number of wood pieces required to support the centric load is
Explanation of Solution
Given information:
The effective length of the laminated column is
The adjusted allowable stress for compression is
The adjusted modulus of elasticity is
The centric load acting in the column is
The width of the laminated column is
The depth of each laminated column is
Calculation:
Find the cross sectional area (A) of the column using the equation.
Substitute 150 mm for b and 25 mm for d.
Find the radio of the effective length to the dimension of the cross section
Find the stress
Substitute 5.4 GPa for E and
Find the column stability factor
For Glue laminated column, the value of c is
Substitute
Calculate the allowable stress
Substitute 7.7 MPa for
Calculate the allowable stress
Substitute 108 kN for P and
Substitute
Solve the equation using Solver tool in Excel.
The number of piece required is
Therefore, the number of wood pieces required to support the centric load is
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Chapter 10 Solutions
Mechanics of Materials, 7th Edition
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