Home Work 02 – Structural Analysis by Matrix Method Engineering ...

Home Work 02 – Structural Analysis by Matrix MethodEngineering Mechanic IVLecture : Pramudiyanto, M.Eng.Instruction :Otherwise stated, do all this assignment on MS Excel (or any spreadsheet software available). The due date ofthis assignment is on Dec 10 th 2012. Send it through my drop box at http://dropitto.me/pramudiyanto(pass:pramudiyanto)1. Compute the displacements, reactions, and element forces for the trusses shown below. Cross-sectionalarea (in mm 2 ) are shown in each bar. Knowing that modulus of elasticity, E = 200.000 MPa.Figure 1. Assignment no 12. The areas of bars ab and ac in mm 2 x10 3 are as indicated. A varies from 0 to 40x10 3 mm 2 . (a) plot thevariation in the force in each bar versus A. (b) If the allowable stress is 140 MPa, for approximatelywhat value of A does the system have the highest ratio of load-carrying capacity to weight? Assume thesame material is used for all three bars.

Figure 2. Assignment no 23. (a) Assemble the global stiffness equation for the truss shown. Modulus of elasticity, E, and crosssectionalarea, A, of all bars are the same. (b) Assuming there will be no fore applied at e, eliminate thecorresponding degrees of freedom from the global equations by proper algebraic operation and developa condensed matrix equation containing only the forces and degrees of freedom at c and d. (c) Calculatethe reactions and bar forces for a 200-kN horizontal force acting to the right at d.Figure 3. Assignment no 34. Compute the displacements, reactions, and bar forces of the truss shown. A = 40x10 3 mm 2 for all chordmembers and 25x10 3 mm 2 for web members. Modulus of elasticity, E = 200.000 MPa. Use a computerprogram to compare the result.

Figure 4. Assignment no 4Reference : McGuire, W., Gallagher, R.H., and Ziemian, R.D., 2000, Matrix Structural Analysis 2 nd edition.,John-Wiley and Sons, New York