A non-symmetrical rigid jointed portal frame ABCDE is fixed at A, pinned at D and supported...

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A non-symmetrical rigid jointed portal frame ABCDE is fixed at A, pinned at D and supported by a roller at E. It carries a trapezoidal distributed load acts along beam AB and a point load in span BC as illustrated in Figure Q2. The frame was constructed using a same steel section and material. The moment of inertia of the cross section, I and the elastic modulus, E is constant. a) Using the Moment Distribution Method, determine the final bending moments at both ends of each member. Note: Construct four loops of balance and answer should be rounded to two decimal points. (18 marks) b) Construct the shear force diagram for member AB and bending moment diagram for BC. (7 marks) 15 kN/m 25 kN/m 55 kN ↓ |²m₂ k 6 m D 5 m E 6 m 3 m A non-symmetrical rigid jointed portal frame ABCDE is fixed at A, pinned at D and supported by a roller at E. It carries a trapezoidal distributed load acts along beam AB and a point load in span BC as illustrated in Figure Q2. The frame was constructed using a same steel section and material. The moment of inertia of the cross section, I and the elastic modulus, E is constant. a) Using the Moment Distribution Method, determine the final bending moments at both ends of each member. Note: Construct four loops of balance and answer should be rounded to two decimal points. (18 marks) b) Construct the shear force diagram for member AB and bending moment diagram for BC. (7 marks) 15 kN/m 25 kN/m 55 kN ↓ |²m₂ k 6 m D 5 m E 6 m 3 m

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