Consider a tapered bar of circular cross section. The length of the bar is \(1 \mathrm{~m}\), and the radius varies as \(r(x)=0.050-0.040 x\), where \(r\) and \(x\) are in meters. Assume Young's modulus \(=100 \mathrm{MPa}\). Both ends of the bar are fixed, and \(F=10,000 \mathrm{~N}\) is applied at the center. Determine the displacements, axial force distribution, and the wall reactions using four elements of equal length.

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F = 10,000N L= 1 m