Problem 4. (3 points). Determine the nodal displacements and reaction forces using the finite ele...
Problem 3. (3 points). Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below. Do not rename the nodes or elements when solving. Assume that the bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 3 are fixed. Element 1 has Young's Modulus of 300 Pa, length of 1 m and cross-sectional area of m. Element 2 has Young's Modulus of 200...
Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below. Do not rename the nodes or elements when solving. Assume that the bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 3 are fixed Element 1 has Young's Modulus of 300 Pa, length of 1 m and cross-sectional area of 1 m2. Element 2 has Young's Modulus of 200 Pa, length of 2...
Problem 2 (3 points) 1m 1m For the planar truss below, determine the nodal oay displacements in the Global Coordinate system using the finite element direct method Global y Node 2 Node 1 Global x Element 1Element 2 2m Assume all the truss members are of the same Young's modulus E-65x 109 Nm. Element 1 and element 2 have the same cross-sectional area of 0.01 m and the cross-sectional area of element 3 is 0.02 m2. Do not rename the...
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...
Determine the nodal displacements and find the reaction forces using the finite element method. Correct Answer: 1 m 1000 kN - Determine displacements and reactions E = 210 GPa 1 for 1 and 2 A=6x10-4 m| E = 210 GPa 1 m →X A=672x10-4 m2 for 3 d2x = 11.91x10-m; dăx = 5.613x10-'m . Fix =-500kN; F1, =-500kN; F2y = 0; F;, = 707 kN
For the rigid frame shown in figures, determine (1) the nodal displacements and rotations of the nodes, (2) the reactions, and (3) the forces in each element. 20 ft 5000 30x 10p A-10 in 200 in (for elements 1 2 and 3) 20 ft 0 1 in 4-2 in
Three rigid bodies (Nodes 2, 3, and 4) are connected by five springs as shown below. Assume that the bodies can only undergo translation in the horizontal direction. Horizontal force P2=1000 N and P4=1500 N is applied to Elements 2 and 4, respectively. The spring constants in (N/mm) are given as: k1=400, k2=500, k3=600, k4=100, and k5=300. Nodes 1 and 5 are fixed. Determine the nodal displacements and reaction forces at the walls. Problem 1. (3 points) Three rigid bodies...
3.24 Determine the nodal displacements and the element forces for the truss shown in Figure P3-24. Assume all elements have the same AE 4 15 m 4 2 20 m Figure P3-24 3.24 Determine the nodal displacements and the element forces for the truss shown in Figure P3-24. Assume all elements have the same AE 4 15 m 4 2 20 m Figure P3-24
For the spring assemblage shown in Figure 2-13, obtain (a) the global stiffness matrix, (b) the displacements of nodes 2-4, (c) the global nodal forces, and (d) the local element forces. Node l is fixed while node 5 is given a fixed, known displacement δ= 20.0 mm. The spring constants are all equal to k = 200 kN/m.
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...