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Question 2 The frame shown in Figure Q2 is pinned to the foundation at A, E and D and has rigid joints at B

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Question 2 The frame shown in Figure Q2 is pinned to the foundation at A, E and D and has rigid joints at B and C. All members have the same flexural rigidity EI. The loading on each span is expressed in terms of Z, for example, if Z=5, then the UDL on span BC is w = 0.5Z = 0.5(5) = 2.5 kN/m Use the matrix displacement (stiffness) method to calculate the values of the bending moment at the joints. Sketch the bending moment diagram and the deflected shape of the frame. (25 marks) P = 8Z (KN) B W = 0.5Z (kN/m) C D W =Z (kN/m) P =10Z (KN) 1.2Y(m) E 0.5Y(m) 0.5X(m) 1.2X(m) X(m) Figure Q2 Y(m)

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