consider a beam element of length l. write down the cubic spline functions n,(x) for this element. (b) given the following beam with e = 21 × 1010n/m2 and 1 = 1.9 x 10-6m4, discretize the beam into 3 elements and determine the load aon(x), for i = 1,2,3 ort 3.5 × 103 n/m wa)(x) w(x) fo = 2.2 × 103 n 5.3 × 103n/m 0.4m 0.5m 0.3m (c) given that the load vectors due to the distributed loads are given by xe+1 ん obtain the load vectors w1, w2, w3 (d) by taking moments to be positive in the counterclockwise direction and downward forces to be positive, compute the element stiffness matrices and assemble the global stiffess matrix. (e) solve for the unknown transverse nodal displacements vi and rotations φ, note that for the given sign convention 12 -6l-12 -6l 312 6l 12 6l