Looking for worked solutions to part 2, 3 and 4.

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Q. 1 The frame structure ABCDE shown in Figure Q. 1 represents an idealised crane geometry and is fully fixed at A and E and has a pin joint support at D. Member CD carries a uniformly distributed load of 15kN/m and a discrete force of 30kN is applied to BC at the position shown. The members each have their relative flexural rigidities as indicated, where EI is 10MNm2. Determine: i) The stiffness matrix [K] for the structure using the Displacement (Stiffness) method of matrix analysis and considering flexural deformation only: [6] ii) The load vector [P] for the applied loading; [4] iii) The displacements at B and C; [5] iv) The bending moments MBCMCB and MCD and the vertical reaction at C. [10] Note: Use may be made of DATASHEET Q. 1 Figure Q. 1 i) [k]=EI[2.3330.6660.6663.333] ii) [P]=[+26.67+54.17] iii) 1=7.203104rads=B;2=14.8134104rads=c; iv) MCB=37.89kNm;MBC=7.19kNm;MCD=52.69kNm