The upper end of a wide-skid W 8 × 21 steel column (E = 30 × 103 ksi) is supported laterally between two tubes (see figure). The tubes are not attached to the column and the friction between the tubes and the column is not reliable. The base of the column provides fixed support and the column is 13 ft long. Determine the critical load for the column, consider the Euler buckling in the web plane and also perpendicular to the web plane.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.