28 Jul Page 1 of 2College of Engineering, Swansea Univers
Page 1 of 2College of Engineering, Swansea University2019/20 Academic Year Semester 2Module Title: EG-225: Structural Mechanics IIbModule Lecturer: Dr A.S. Ademiloye (a.s.ademiloye@swansea.ac.uk)Assignment 11. For the pin-jointed truss shown in Figure Q1 with the following material properties:E = 195 GPa, A = 380 mm2, for all members. By using the matrix stiffness method:(i) Compute the global stiffness matrices for each element and assemble thestructure stiffness matrix.(ii) Calculate the global displacement at joint 1.(iii) Calculate the support reactions, check overall equilibrium and obtain the axialforces in each of the truss members.(iv) If member 3 was made 0.01 m too long before it was fitted into place, determinethe axial forces in all the truss members.(v) If the support at joint 2 settles downward 19 mm, determine the axial forces inall the truss members.N.B. for Q1 (iv) & (v), assume that the applied load is still present.4 m2136 kNFigure Q15 m6 m43123Page 2 of 22. Using the matrix stiffness method, determine the displacement, support reactionsand member end forces of the frame in Figure Q2. Draw the axial force, shear force,and bending moment diagrams. Take E = 200 GPa, A = 600 mm2 and I = 60 x 104 mm4.(TOTAL 10 MARKS)Figure Q28 m1215 kN1233412 m8 m16 m7 kNm
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