A three member frame consists of a vertical member AB, 5m long and horizontal members BC and CD each 6m long, with C and D to the right of B. The frame is fixed at A and pinned at C and D. Member AB carries a load varying uniformly from 6kN/m at A to zero B which is acting to the right. Member BC has a concentrated vertical downward load of 42kN at 4m from B. Member BC carries a uniform downward load of 4kN-m. Determine the moments at A, B and C. Assume E to be constant and IAB =31, IBC = 41 and ICD = 31.

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Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.