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Consider a bar element as shown in the figure. The cross-sectional areas are A1 and A2 at nodes 1 and 2, respectively, and vary linearly.

In addition, the gravitational acceleration is applied along the axial direction of the bar, such that the distributed load per unit length is f(x) = ρgA(x), where ρ is the density and g is the gravitational acceleration. Construct the discrete variation equation for the element.

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Electrical & Electronics, Engineering

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