Analyse the beam shown in Figure 4 using the stiffness method. Assume and 3 are rollers....

  

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Analyse the beam shown in Figure 4 using the stiffness method. Assume and 3 are rollers. A 50 kN force is acting downward on member distributed load of 24 kN/m is acting on member [2] as shown. El is constant. is fixed, and a uniform a) Identify the force vector of the structure; [6 marks] b) Identify the displacement vector of the structure; [2 marks] c) Determine the stiffness matrices of the members; [2 marks] d) Assemble the global stiffness matrix of the structure; [2 marks] e) Establish the force-displacement relationship and calculate the unknown displacements; [4 marks] f) Calculate the reaction forces at supports. [ 4 marks] 0.5m 50 KN 1.5m Figure 4 24 kN/m 2 Im Analyse the beam shown in Figure 4 using the stiffness method. Assume and 3 are rollers. A 50 kN force is acting downward on member distributed load of 24 kN/m is acting on member [2] as shown. El is constant. is fixed, and a uniform a) Identify the force vector of the structure; [6 marks] b) Identify the displacement vector of the structure; [2 marks] c) Determine the stiffness matrices of the members; [2 marks] d) Assemble the global stiffness matrix of the structure; [2 marks] e) Establish the force-displacement relationship and calculate the unknown displacements; [4 marks] f) Calculate the reaction forces at supports. [ 4 marks] 0.5m 50 KN 1.5m Figure 4 24 kN/m 2 Im