Concept explainers
(a)
The design of a single-angle tension member using Load Resistance Factor Design (LRFD).
Answer to Problem 3.6.1P
The single angle tension member using LRFD is
Explanation of Solution
Given:
The member is
Dead Load is
Live load is
Concept Used:
Write the expression for factored load.
Here, the factored load is
Write the expression for the required gross area.
Here, the gross area is
Write the expression for the required effective area.
Here, the required effective area is
Write the expression for the effective area of the section.
Here, the effective area of the section is
Write the expression for the net area of the section.
Here, the gross area of the section is
Calculation:
Calculate the factored load.
Substitute
Calculate the required gross area of the tension member.
Substitute
Calculate the required net area of the tension member.
Substitute
Before choosing the sections calculate the minimum radius of gyration.
Write the expression for the radius of gyration.
Here, the minimum radius of gyration is
Substitute
Choose the section that has parameters slightly above the required values.
Trial 1:
Choose the section
The properties of the section are,
Here, the gross area of the section is
Compare the gross area.
Hence, the section is feasible.
Compare the radii of gyration.
Hence, the section is feasible.
Calculate the net area of the section.
Substitute
Calculate the effective area of the section.
Substitute
Compare the effective area required and that of the section.
Hence, the section is feasible for design.
Adopt the section
Conclusion:
Thus, the single angle tension member using LRFD is
(b)
The single angle tension member using Allowable Strength Design (ASD).
Answer to Problem 3.6.1P
The single angle tension member using ASD is
Explanation of Solution
Concept used:
Write the expression for factored load,
Here, the factored load is
Write the expression for the required gross area.
Write the expression for the required effective area.
Write the expression for the effective area of the section.
Here, the effective area of the section is
Calculation:
Calculate the factored load.
Substitute
Calculate the required gross area of the tension member.
Substitute
Calculate the required net area of the tension member.
Substitute
Before choosing the sections calculate the minimum radius of gyration.
Substitute
Choose the section that has parameters slightly above the required values.
Trial 1:
Choose the section
The properties of the section are,
Here, the gross area of the section is
Compare the gross area.
Hence, the section is feasible.
Compare the radii of gyration.
Hence, the section is feasible.
Calculate the net area of the section.
Substitute
Calculate the effective area of the section.
Substitute
Compare the effective area required and that of the section.
Hence, the section is feasible for design.
Adopt the section
Conclusion:
Thus, the single angle tension member using ASD is
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Chapter 3 Solutions
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