## Math/Physic/Economic/Statistic Problems

Ql. Statically determinate or indeterminate truss analysis by the stiffness method (60 marks)
a) Determine the global stiffness matrix of the whole truss given in problems 14.5 and 14.6 (p. 582). Indicate the degrees-of freedom in all the stiffness matrices. (20 marks) b) Calculate all the nodal displacements and all the member forces for the truss. Show all calculations. (20 marks) c) Repeat the problem using the Strand7 finite element software package. Submit a hard copy from Strand7 showing the nodal displacements and the member forces (highlight these in the hard copy). (10 marks) d) Present a table showing comparisons of the member forces from the stiffness method (manual calculations) and Strand7 analysis Comment on the comparisons of the values between the two. (5 marks) e) Submit a hard copy of the deformed configuration of the truss using a displacement scale of 10%. (5 marks)
Q2. Statically determinate or indeterminate beam analysis by the stiffness method (50 marks) a) Determine the global stiffness matrix of the beam of problem 15.2 (p. 602). Indicate the degrees-of freedom in all the stiffness matrices. (10 marks) b) Determine the rotation at node 2 of the beam, bending moment at node 2 and all the reactions at the supports. Show all calculations. (25 marks)
Q3. Statically determinate or indeterminate frame analysis by the stiffness method (50 marks) a) Determine the stiffness matrix of the frame of problems 16.9 and 16.10 (p. 620). Indicate the degrees-of freedom in all the stiffness matrices. (10 marks) b) Determine all the displacement components at node 2 and all the internal loadings of each member. (20 marks)
c) Draw the BNID of the frame on the compression side showing all the salient values. Show the calculations. (5 marks)