A prismatic simply supported beam is supported by a spring having the spring stiffness k-200 kN/m at the mid span as shown in Figure. It is subjected to a concentrated force of 12 kN at the mid span as well. Assuming that modulus of elasticity of the beam material E=70 GPa and the second moment of area about the axis of bending I=2x10-4 m (a) Determine the displacements and the slopes at the nodes. (b) Also, draw the shear force and bending moment diagrams. (c) Calculate the axial force of the spring. 4 m 2 4. 12 kN 4 m k = 200 kN/m Figure 1