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Engineering · Civil Engineering
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There is no given value for young's modulus. the question needs to be solved with E and I. and take k = EI/L .The fixed-node structure sketched in Figure 1 is loaded with a moment M at node C as depicted. Note that the bending stiffness in parts AB and BC is El, while that in part CD is equal to 3EI (E: Youngs modulus of the material; : Q1. second moment of area of the cross section). a) Detect the independent nodal rotations and write the system of equilibrium equations in the unknown rotations; [8 marks] b) obtain the stiffness matrix of the structure and compute the nodal rotations; 8 markS c) sketch the bending moment and shear force diagrams of the structure. [9 marks] Figure 1

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