For the beam in Figure 1 below, the flexural rigidity of the beam from point 1...

 

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For the beam in Figure 1 below, the flexural rigidity of the beam from point 1 to point 2 is EI while from point 2 to 4 is 2EI. (a) Use stiffness coefficient method to calculate and plot dimensioned shear force and bending moment diagrams. [20] (b) Use stiffiness matrix method to calculate the unknown displacements and reactions at the supports. [10] 2 kN/m 10 kN 4 4 m 4 m 4 m Figure 1 QUESTION 2 [24 Marks] The truss shown in Figure 2 below is hinged at supports A and E. The support C is a roller. Assuming that all the truss members have the same cross-sectional area (A) and Young's modulus (E), determine the reactions at the supports and internal forces in the members using stiffness matrix method. 10|kN 4 m 1m 1 m Figure 2 For the beam in Figure 1 below, the flexural rigidity of the beam from point 1 to point 2 is EI while from point 2 to 4 is 2EI. (a) Use stiffness coefficient method to calculate and plot dimensioned shear force and bending moment diagrams. [20] (b) Use stiffiness matrix method to calculate the unknown displacements and reactions at the supports. [10] 2 kN/m 10 kN 4 4 m 4 m 4 m Figure 1 QUESTION 2 [24 Marks] The truss shown in Figure 2 below is hinged at supports A and E. The support C is a roller. Assuming that all the truss members have the same cross-sectional area (A) and Young's modulus (E), determine the reactions at the supports and internal forces in the members using stiffness matrix method. 10|kN 4 m 1m 1 m Figure 2