Question: A continuous beam as shown in Figure Q1 has fixed support at A and pinned supports at B, C and D. The beam is

A continuous beam as shown in Figure Q1 has fixed support at A and pinned supports at B, C and D. The beam is subjected to a point load of 5 kN at point E, a uniformly distributed load of 6 KN/m along member AC, a triangle load of 20 kN/m along member CD and additional 5KNm of moment at support C. The flexural rigidity, El for each segment of the beam as indicated in Figure Q1. a) Due to immediate soil settlement, support B settles vertically downwards by 50/El and support C settles vertically upwards by 10/EI, respectively. Determine the member end moments of the beam by using Moment Distribution Method. (CO2-P02) (C4) (20 marks) b) Assess the vertical reaction at supports B and C. (CO2-PO1) (C3) (5 marks) c) Demonstrate the shear force diagram (SFD) and bending moment diagram (BMD) for span BC only. (CO2-PO1) (C3) (5 marks) 5 kN 20 kN/m 6 kN/m (EI) (2EI) (2EI) A B E 5 kNm 3 m 1 m 2 m 3 m Figure Q1

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Modern Control Systems 12th edition by Richard C. Dorf, Robert H. Bishop

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