The lightest section of W10 which support the working loads.
Answer to Problem 4.1PFS
The lightest section is
Explanation of Solution
Given:
The specified minimum yield stress is
Concept Used:
The formula to calculate the ultimate load.
The formula to calculate the allowable load.
The formula to calculate the minimum gross area are
For LRFD,
And,
The formula to calculate minimum
The formula to calculate the nominal tensile strength.
The formula to calculate the net area.
For ASD,
The formula to calculate the effective area.
Calculate the slenderness ratio.
Calculation:
Calculate the ultimate load.
Calculate the allowable load.
Calculate the minimum gross area.
Assume reduction co-efficient
Calculate the minimum gross area.
Calculate the minimum
Take section
From ASTM, the area of the section is
Check for gross section yielding.
Calculate the nominal tensile strength.
For LRFD,
Calculate the design tensile strength.
For ASD,
Calculate the allowable design strength.
Check for tensile rupture strength.
Calculate the net area.
Take the reduction coefficient
Calculate the effective area.
Calculate the nominal tensile strength.
For LRFD,
Calculate the design tensile strength.
For ASD,
Calculate the allowable design strength.
Calculate the slenderness ratio.
Conclusion:
Therefore, the lightest section is
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Chapter 4 Solutions
Structural Steel Design (6th Edition)
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