Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure...
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...
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
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
Question 1 A plane frame is loaded as shown in the figure below. The global coordinate axes are shown in the figure. For both elements, E = 30000 ksi, I-1000 in4 and A-100 in2. Determine all nodal displacements, nodal rotations and member end forces (including moments) for both members. Label member end forces in a free body diagram 1000 lb/ft 40 ft 45 30 ft
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
f(2x)=? f(?x)2= ? m(?)2 =? 5.14 For the rigid frame shown in Figure P5-14, determine the displacements and rotations of the nodes, the element forces, and the reactions. Use the values of E, A, and I listed in the Figure. © 15 10 E = 30 x 10 Asin
Q4: Using slope-deflection method, determine the reactions of the supports for the frame shown in Figure (4). Then draw shear and bending moment diagrams for the frame . E is constant 25% 5k/ E D 10 ft B-10k 5 ft ts -20 ft 51 -21 E = constant
0.2 The axially rigid frame ABCD shown in Figure 0.2 is fully fixed to A, and supported at Cand D as shown. The degrees of freedom are indicated on the frame. (1) The structural stiffness matrix [K] is related to the applied load vector [P] and the structural displacement vector [4] by: [P] = [K] 141 Construct the structural stiffness matrix [K] and the applied load vector [P] necessary to calculate the structural displacements. (18) (1) Each element stiffness matrix...
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...