A four-wheel car runs on steel rails (E = 200 GPa). The rails have a depth of 120 mm. The distance from the top of a rail to its centroid is 69 mm, and its moment of inertia is 17.07 × 106 mm4. The rail rests on an elastic foundation with spring constant k = 12.0 N/mm2 . The two wheels on each side of the car are spaced 2.50 m center to center. If each wheel load is 80.0 kN, determine the maximum deflection and maximum flexural stress when a car wheel is located at one end of the rail and the other car wheel on the same rail is 2.50 m from the end.
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