Question

Problem 5.102: Solve the structure composed of 2 beam and 3 truss elements by taking advantages of the symmetry of structure. (1) Show your half model with proper boundary conditions; (2) How many free DOFs are there in your model? (3) Assemble and show the reduced global stiffness matrix and load vector in your model; and (4) Compute the displacements at Node 2, and element stress in Truss 4 or 5 by following Element and Node IDs as defined in the figure? P 10 P 10 L/2 L/2 3 m1 beam2 truss3 beam1 truss4 truss5 P-10 El 100000; EA-1000; L 10, and A-1.0

Answer 1

From The Given informations. The load trace barn is calculate. From the Figure, we can find Delta = L/240 = 36 + 20/240 = 0.233 The load trace path is cross the minimum value of Delta = 0.233 From The Footing operations, Root is 5/12 pit It's approximately near by, 5/12 times 0.233 = 1.78ft. From The figure it is clear that, the load trace path cross The limits from 0.233 to 1.78. apply the values to the system, we get The column footing value & Floor Beam flooting values are, for The load trace barn calculations. flooting value(beam) = 1.78 times 10 = 17.8ft flooting value(column) = 0.233 times 10 = 2.33ft It's joins the load trace barn path.