For the bar assemblage shown Data: in the figure, determine the nodal displacements, the E=nx10" Pa...
N is 1 QUESTION 2 For the bar assemblage shown Data: in the figure, determine the nodal displacements, the E =nx10" Pa forces in each element, the A=nx10-?m? reactions and the stresses. L =nx 500mm Ly =n x500mm F=nx104N L2 =nx 250mm F, = 2.5x F, MITT L 1 L2
structural analysis Figure Q() Question 2 For the bar assemblages shown in Figure Q(2), determine the nodal displacements, the forces in each element and the reactions. Use the direct stiffness method (25 marks) 35 kN E-210 GPa 2 A4 x 10m2 1 m im Figure Q() Question 2 For the bar assemblages shown in Figure Q(2), determine the nodal displacements, the forces in each element and the reactions. Use the direct stiffness method (25 marks) 35 kN E-210 GPa 2...
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.
Problem 2: For the beam shown in below figure, determine the nodal displacements and slopes, the forces in each element, and the reactions. 4 kN/ Im E 70 GPa 13 x 10-4 m4 4 m
Consider the bar in Fig.3.7 loaded as shown. Determine the nodal displacements, element stresses, and support reactions. Solve this problem by hand calculation, adopting the elim- ination method for handling boundary conditions. Verify your results using program FEMID. 400 mm2 250 mm2 P-300 kN > X Consider the bar in Fig.3.7 loaded as shown. Determine the nodal displacements, element stresses, and support reactions. Solve this problem by hand calculation, adopting the elim- ination method for handling boundary conditions. Verify your...
Problem 2: a. For the plane truss shown in Figure 2, determine the nodal displacements, the element forces and stresses, and the support reactions. All elements have E-70 GPa and A-25 cm 100 kN 50 kN 50 kN 4 4 6 Figure 2. Plane Truss Problem 2: a. For the plane truss shown in Figure 2, determine the nodal displacements, the element forces and stresses, and the support reactions. All elements have E-70 GPa and A-25 cm 100 kN 50...
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
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 4. (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 bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 4 are fixed Elements 1, 2 and 3 have Young's Modulus of Ei-300 Pa, E2-200 Pa, Es-200 Pa. All elements have o ae of 20 N 20 N...
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...