For the truss shown in the below figure, determine the stifness matrix for each truss element, the stiffness matrix for entire truss, the displacements at nodes 1 through 4, and the force in elements 1 through 5. Also, determine the force in each element. Let A = 3 in2, E = 30 x 106 psi for all elements.
For the truss shown in the below figure, determine the stifness matrix for each truss element,...
1. (60%) For the truss system shown below (a) (12%) Determine the element stiffness matrix w.r.t. the global coordinate system for all elements. (b) (10%) Determine the global stiffness matrix, [K]. (c) (5%) List all the boundary conditions. (d) (33%) Determine the internal force, elongation, stress, and strain for each element. Indicate whether it is under tension or compression. My LLLLLLLL 1 0 1-2=45° \ 30° 30° / 14116 141 16 12 2-3 = 30 3 1-4=300 Join But 45=225...
matrix structural Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in. All areas are 2 in2 and E- 29 x 10° psi. Use the stiffness matrix method. 30000 All areas 2 in2 E-29x106 psi 21 ② 3 10 ft Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node...
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...
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...
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...
t is given that E 29.5 x 10 psi and 3- Consider the four-bar truss shown in the figure below Ae 1 in2 for all elements (a) Determine the element stiffness matrix for each element. (b) Assemble the global stiffhness matrix for the entire truss. (c) Using the elimination approach, solve for the nodal displacement. (d) Calculate the reaction forces (25 points) 25000 lb 4 4 30 in. 2 20000 lb _40 in.
Solve the following truss problem. All truss members are ANSI 2x2x0.25 hollow square tubes (with rounded corners) for which the cross-section area is A-1.5891 in2. The material has a modulus of E-29E6 psi. Length of element 1 and 5 is L-20 inches, and length of element 3 and 6 is 2L 40 inches. 7 5 6 P-1000 lb 2. 1. Solve in an Excel spreadsheet using the truss element. Note that there are only four different element stiffness matrices (look...
Solve all problems using the finite element stiffness method.For the beams shown in Figure P4- 22 determine the nodal displacements and slopes, the forces in each element, and the reactions. 4000 lb/ft E=29 × 106 psi 1 = 1 50 in.4 10 ft Figure P4-22
a. Compute the total stiffness matrix [K] of the assemblage shown in Figure 3-1 by superimposing the stiffness matrices of the individual bars. Note that should be in terms of A. As, A, E, E E, L. and L. Here A, E, and are generic symbols used for cross-sectional area modulus of elasticity, and length, respectively Figure P3-1 Now let As - Ag-A-A.E E, E E and L-L L -L nodes 1 and 4 are fixed and a force Pacts...
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...