Answer Happy

Q4. Statically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffness matrix of the frame as shown in Fig. 4. Joints 1 and 3 are pinned. Assume I = 350(10%) mm*, A = 15(10³) mm², E = 200 GPa for each member. Indicate the degrees-of freedom in all the stiffness matrices. (10 marks) b) Determine all the displacement components at node 2 and all the reactions including the internal reactions at node 2. Show all calculations. (18 marks) (5 marks) c) Draw the BMD of the frame on the compression side showing all the salient values. Show all calculations. d) Repeat the problem using the Strand7. Show the model with all the nodes and element numbers and boundary conditions. Submit a hard copy from Strand7 showing the all the reactions (highlight these in the hard copy). Display the bending moment diagram for the frame. (10 marks) e) Compare the BMD from Strand7 with the theoretical one and compare the respective values of maximum BM. Comment on the comparisons of the values between the two. (2 marks) 3 4 m 2 m 60 kN 2 m