In the structure below, Element a is subjected to linearly varying distributed l

Question

In the structure below, Element a is subjected to linearly varying distributed load that has values of b, at the left and b, at the right, Element b is subjected to a uniform distributed load (to the left) with magnitude b2 and Element e is subjected to a linearly varying load (from zero on the left to bz on the right). For the values given below determine: (i) the nodal displacements and support reactions, (ii) the deformation u(x) as a function of length along Element a, (iii) the strain, stress and axial force along the length of Element a. Set up the equivalent nodal force vectors, and stiffness matrices by hand. You may solve the displacements using Matlab or any software of your choosing. A' = 5 in”, lº = 75 in, A° = 4 in), L' = 75 in, A° = 2.in”, L'° = 20 in, E = 29000 ksi, kº = 2000 kip/in, kº = 2500 kip/in, be = 2 kip/in, bj = 7 kip/in, b2 = 5 kip/in and b3 = 4 kip/in. ke Aa, E, La WW EH b2 A®, E, L A D EL AB, E, LE

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