6.7. Indicate all the mistakes in the following finite element models with CST elements (Fig. P6.7)...
Problem 6.101: A structure is composed of two CST elements, and is subjected two concentrated forces at the center node of the structure as shown in the figure. Please take advantages of the symmetry of structure to simplify the analysis of the problem with dimension D-10. Answer the following questions (hand-calculation only): 1) Show your FE models with proper boundary conditions and applied loads; 2) Compute reduced stiffness matrix and loads vector of your models; and 3) Compute the nodal...
Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure P5-4, determine (1) the nodal displacements and rotation at node 4, (2) the reactions, and (3) the forces in each element. Then check equilibrium at node 4. Finally, draw the shear force and bending moment diagrams for each element. LetE 30 x 103 ksi, A = 8 in,2 , and 1-800 in.4 for all elements. 20 kip 25 ft 25 ft- 40 ft 20...
A plane truss element is shown in Figure 4. All elements have cross-sectional area of A = 8 in, and elastic modulus of E 2 x 10 psi. Use long-hand solution. 6. 6.(a). Solve for the unknown displacements 6.(b). Solve for strains and stresses in all 3 elements. Show your work and follow the finite element method matrix formulation we have covered in lectures 4 3 20 ft 5 kip 10 kip 240 ft ft 30 ft- Figure 4
A...
The Finite Element question below need to be solved using
ANSYS Workbench. Kindly solve and provide the steps:
An axial load P = 100 x 103 N is applied as shown in Figure 1. Element Area (mm) Young's Modulus (Nmm2) 2 450 200x10 1600 30x103 300mm 200mm Fig.1 Using ANSYS workbench to determine the i. a) Nodal displacements b) Stress in each material c) Reaction forces i. P all the results and present in notepad and save
A plane truss element is shown in Figure 4, All elements have cross-sectional area of A = 8 in, and elastic modulus of E-2 x 10° psi. Use long-hand solution 6. 6.(a). Solve for the unknown displacements. 6.(b). Solve for strains and stresses in al 3 elements. Show your work and follow the finite element method matrix formulation we have covered in lectures. 4 5 kip 10 240 ft 30 ft30 ft Figure 4.
A plane truss element is shown...
Finite element problems
For the bar elements shown in Figure P3–16, the global displacement have been deter- mined to be up = 0.5 in., V = 0.0, uy = 0.25 in., and V2 = 0.75 in. Determine the local x' displacements at each end of the bars. Let E = 12 x 106 psi, A = 0.5 in?, and L = 60 in. for each element. 45° 30° (a) (b) - Figure P3–16
(3) 9. Indicate the element that each of the following elements becomes isoelectronic with (has the same electron configuration as) when it forms an ion.
write a java program that will perform the following. Given two finite sets, list all elements in the Cartesian product of these two sets. Given a finite set, list all elements of its power set.
QUESTION 2 21 Finite elements can appear in many forms such as two-dimensional and three- dimensional domains Give two examples and a sketch for each domain. (4) 22 Explain the following terms as used in Finite element equations a Plain stress b Plain strain 23 Use the Finite element method to develop the stiffness matrix for element 2 of the steel cantilever beam structure shown in Figure 2 The elastic modulus IS 200 kN/mm2 with a thickness of 1 unit...
Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure P5-4, determine (1) the nodal displacements and rotation at node 4, (2) the reactions, and (3) the forces in each element. Then check equilibrium at node 4 Finally, draw the shear force and bending moment diagrams for each element. Let E 30x 103 ksi, A 8 in2, and I 800 in.4 for all elements. 20 kip 25 ft 25 ft 40 ft Figure P5-4...