The \(\mathrm{W} 14 \times 53\) structural A-36 steel column supports an axial load of 80 kip in addition to an eccentric load P. Determine the maximum allowable value of P based on the AISC equations of Sec. 13.6 and Eq. 13–30. Assume the column is fixed at its base, and at its top it is free to sway in the x–z plane while it is pinned in the y–z plane.
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Textbook Solutions for Mechanics of Materials
Question
The rectangular wooden column can be considered fixed at its base and pinned at its top. Also, the column is braced at its mid-height against the weak axis. Determine the maximum eccentric force P that can be safely supported by the column using the allowable stress method.
Solution
The first step in solving 13.7 problem number 17 trying to solve the problem we have to refer to the textbook question: The rectangular wooden column can be considered fixed at its base and pinned at its top. Also, the column is braced at its mid-height against the weak axis. Determine the maximum eccentric force P that can be safely supported by the column using the allowable stress method.
From the textbook chapter DESIGN OF COLUMNS FOR ECCENTRIC LOADING you will find a few key concepts needed to solve this.
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