Question: 4 . 1 Use Eqs. ( 4 . 1 . 7 ) to plot the shape functions N 1 and N 3 and the derivatives

4.1 Use Eqs. (4.1.7) to plot the shape functions N1 and N3 and the derivatives (dN2d(hat(x))) and (dN4d(hat(x))), which represent the shapes (variations) of the slopes hat()1 and hat()2 over the length of the beam element.
4 . 1 Use Eqs. ( 4 . 1 . 7 ) to plot the shape

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