The selection of the lightest available W12 section to support the axial compression loads.
Answer to Problem 6.1PFS
W12 x 65
Explanation of Solution
Given data:
LRFD method:
The factored load is given by
Substituting the values,
Assume slenderness ratio as
From table 4-14 in the AISC manual,
Corresponding to yield stress,
The required area is
Substituting the values,
Try section
From table 1-1 in the AISC manual,
The properties of the trial section are
The slenderness ratio is
Substituting the values,
From table 4-14 in the AISC manual,
Corresponding to yield stress,
Corresponding to yield stress,
By interpolation, the critical stress for
The load-carrying capacity of the section is
Substituting the values,
The load-carrying capacity of the trial section
Try section
From table 1-1 in the AISC manual,
The properties of the trial section are
The slenderness ratio is
Substituting the values,
From table 4-14 in the AISC manual,
Corresponding to yield stress,
Corresponding to yield stress,
By interpolation, the critical stress for
The load-carrying capacity of the section is
Substituting the values,
The load-carrying capacity of the trial section
Therefore, use section
ASD method:
The factored load is given by
Substituting the values,
Assume slenderness ratio as
From table 4-14 in AISC manual,
Corresponding to yield stress,
The required area is
Substituting the values,
Try section
From table 1-1 in the AISC manual,
The properties of the trial section are
The slenderness ratio is
Substituting the values,
From table 4-14 in the AISC manual,
Corresponding to yield stress,
Corresponding to yield stress,
By interpolation, the critical stress for
The load-carrying capacity of the section is
Substituting the values,
The load-carrying capacity of the trial section
Try section
From table 1-1 in the AISC manual,
The properties of the trial section are
The slenderness ratio is
Substituting the values,
From table 4-14 in the AISC manual,
Corresponding to yield stress,
Corresponding to yield stress,
By interpolation, the critical stress for
The load-carrying capacity of the section is
Substituting the values,
The load-carrying capacity of the trial section
Therefore, use section
Conclusion:
Select the section
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Chapter 6 Solutions
Structural Steel Design (6th Edition)
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