A 2D non-sway structure is given in Figure 1 (and Appendix A). It consists of a continuous beam ABCDE attached with rigid joints to columns BF and DH. A pin connection is at the top of column CG....

A 2D non-sway structure is given in Figure 1 (and Appendix A). It consists of a continuous beam ABCDE attached with rigid joints to columns BF and DH. A pin connection is at the top of column CG. Section DE is a cantilever. Beam CDE has twice the 2ndmoment of area,I, of beam ABC. A uniformly distributed load,w,is applied along AB and DE and one span has a point load,P, in the middle. Young’s Modulus,E, is constant for all sections.

Using the loading and section properties from Table 1 according to your student ID, complete the following:

1. Determine the Distribution Factors (DF) and Fixed End Moments (FEMs) at each joint as part of the Moment Distribution Method.

   (15 marks)

2. Apply the Moment Distribution Method to find all element end moments. You can stop your iterations when the carry over moments are less than 1kNm or you have done 8 iterative steps.

   (20 marks)

3. Draw the bending moment diagram for the entire structure (drawn on the tension side), clearly marking all key points, including the midspan moments for elements AB, BC and CD.

   (15 marks)

2) For the structure shown in Figure 1, describe what the changes in internal forces and deflections may be if element CG is removed. You do not need to do more calculations, but may wish to make use of sketches.

(20 marks)

3) Explain what is meant by the term ‘redundancy’ within a structural engineering context and how this is linked to static indeterminacy. You should give clear examples from real structures to demonstrate you points. Any sources must be referenced correctly.