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Select a W14 column of 24 ft length to support a factored axial load of 850 kips for an interior column of an industrial building. The column base is fixed to the foundation, and the top of the column is rigidly framed to a very stiff truss. Sidesway in the yy-plane of the cross-section is permitted, while sidesway is prevented in the xx-plane of the column cross-section. Assume [tex]$F_y = 50 \text{ ksi}$[/tex] and [tex]$E = 29000 \text{ ksi}$[/tex].

Answer :

A W14 column with a length of 24ft is selected to support a factored axial load of 850kips in an interior column of an industrial building. The column is fixed to the foundation at the base and rigidly framed to a stiff truss at the top. Sidesway is permitted in the YY plane but prevented in the XX plane. Using a steel material with a yield strength (Fy) of 50ksi and a modulus of elasticity (E) of 29000ksi, the column is designed to safely withstand the applied load.

The selection of a suitable column involves considering the applied load, column length, and support conditions. In this case, a W14 column, which is a wide flange shape with a nominal depth of 14 inches, is chosen. The length of the column is 24ft. The factored axial load on the column is 850kips, which accounts for a safety factor applied to the actual load.

The column is fixed to the foundation at the base, providing stability and preventing horizontal movement in the XX plane. At the top, the column is rigidly framed to a very stiff truss, ensuring stability and preventing sidesway in the YY plane. These support conditions help resist lateral forces and maintain the integrity of the column.

To design the column, the material properties of the steel are considered. The yield strength (Fy) of the steel is 50ksi, indicating the maximum stress the material can withstand without permanent deformation. The modulus of elasticity (E) is 29000ksi, representing the stiffness of the material.

Using structural engineering principles, the column is designed to ensure that the applied load does not exceed the capacity of the selected steel shape. Various calculations are performed, such as determining the effective length of the column, accounting for the slenderness ratio, and considering the buckling behavior. These calculations ensure that the selected column size can safely resist the applied axial load.

In conclusion, a W14 column with a length of 24ft is chosen to support an axial load of 850kips in an industrial building. The fixed base and rigid top support conditions, along with the steel material properties, are taken into account to ensure the column's stability and capacity.

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