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 A-36-steel \(\mathrm{W} 10 \times 45\) column is fixed at its base. Its top is constrained to move along the x–x axis but free to rotate about and move along the y–y 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 7 trying to solve the problem we have to refer to the textbook question: The A-36-steel \(\mathrm{W} 10 \times 45\) column is fixed at its base. Its top is constrained to move along the x–x axis but free to rotate about and move along the y–y 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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