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 fo...
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...
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
Solve all problems using the finite element stiffness method. For the beams shown in Figure P4- 21 determine the nodal displacements and slopes, the forces in each element, and the reactions. 2000 lb/ft E = 29 x 106 psi I = 200 in. - 15 ft 15 ft — Figure P4-21
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
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...
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...
Q2b Using the direct stiffness method, determine for the beam shown: a) the displacements and rotations of the nodes, the shear forces and moments at the nodes b) Subsequently, draw the deflected shape, shear force and bending moment diagrams. 4m rM Take: El 5 X 106 Nm2, F 10 kN and w 4 kN/m.
Using the stiffness method, Calculate the stiffness matrix of the frame and show all displacements and reactions at node #2. Assume that all joints are fixed. Calculate the all bending moments and show in a diagram. E=200GPa, I=300(106) & A=10(103) 24 kN/m 4m 8m 20 kN 4m 24 kN/m 4m 8m 20 kN 4m
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 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...