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finite element anlysis
Problemi For the boam of Figuel P-5000.0 lb w: 200.0 b/in uniform tttöku...
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. 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...
Problem 3 [30ptPlanar(plate)-Finite Element For the planar element for thin plate with a uniform shear load...
Problem 3 [30ptPlanar(plate)-Finite Element For the planar element for thin plate with a uniform shear load (instead of a tensile load) acting on the right edge, (Use E=30 x 106 psi, v=0.3, and t = 1 in.) a. Determine the nodal displacements and the element stresses. b. Calculate principal stresses and angles. 20 in. 1 s= 1000 lb/in. 20 in.
A 5-lb bar is attached to a 10-b uniform cylinder by a square pin, P, as...
A 5-lb bar is attached to a 10-b uniform cylinder by a square pin, P, as shown. Knowing that r= 16 in., h= 8 in., 0 = 20°, L = 20 in, and w = 2 rad/s at the instant shown, determine the reactions at Pat this instant assuming that the cylinder rolls without sliding down the incline. The reaction at Pis [ 3.42 lb The moment is 155 ft-lb O. 70.5
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. 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...
Consider the frame in Fig. 1, the node and element numbers as well as the material and geometrica...
Consider the frame in Fig. 1, the node and element numbers as well as the material and geometrical characteristics of the beam elements are also displayed on the same figure. The frame is subjected to two concentrated loads at nodes 2 and 3 and a uniform distributed load over beam 3. The frame is fixed at nodes 1 and 5. A global coordinate system is established with origin at node 1 and x-y axes positively directed to the right and...
Element 1 is a steel bar that has a circular cross-section with a radius of 30...
Element 1 is a steel bar that has a circular cross-section with a radius of 30 mm. Element 2 is an aluminum bar that has a circular cross-section with a radius of 50 mm. Element 3 is a steel bar that has a circular cross- section with a radius of 60 mm. Assume for steel, the moduļus, E, is 2.0E11 Pa, and the density, p, is 7800 kg/m3. Assume for aluminum, E-7.0E10 Pa, and p-2700 kg/m3. The rigid, massless rod...
Q2 (a) (0) Explain what is meant by interpolation in the Finite Element Method and why...
Q2 (a) (0) Explain what is meant by interpolation in the Finite Element Method and why it is used (3 marks) What is a shape function? (3 marks) PLEASE TURN OVER 16363,16367 Page 2 of 3 0.2 (a) (Continued) (iii) For an isoparametric element, explain the relationship between shape functions, the geometry of the element and the shape the loaded element will deform to. (3 marks) (iv) Describe the relationship between structural equilibrium and the minimum potential energy state. (3...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W = 30.0 lb are attached to collars of negligible weight that slide without friction along fixed bars. A vertical force P is applied to collar B. The bar is initially at rest in the position shown and the initial angular acceleration of A is 40.0 ft/s to the left, aA = – 40 ft/s i. o= 30° {= 36 in O Draw a free...
#3-16, If the man at B exerts a force of P 30 lb on the rope,...
#3-16, If the man at B exerts a force of P 30 lb on the rope, determine the magnitude of the force F the man at C must exert to prevent the pole from rotating, i.e., so the resultant moment about A of both forces is zero. of nt 6 ft 45° 12 ft Probs. 3-15/16
Q.2 (a) (Continued) (11) For an isoparametric element, explain the relationship between shape functions, the geometry...
Q.2 (a) (Continued) (11) For an isoparametric element, explain the relationship between shape functions, the geometry of the element and the shape the loaded element will deform to. (3 marks) (iv) Describe the relationship between structural equilibrium and the minimum potential energy state. (3 marks) (b) Imman F FIGURE Q2b: 3 Springs (0) Derive an expression for the Total Potential Energy of the structure shown above in Q2b. (5 marks) (1) Apply the minimum potential energy method to derive 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. 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...
Problem 3 [30ptPlanar(plate)-Finite Element For the planar element for thin plate with a uniform shear load (instead of a tensile load) acting on the right edge, (Use E=30 x 106 psi, v=0.3, and t = 1 in.) a. Determine the nodal displacements and the element stresses. b. Calculate principal stresses and angles. 20 in. 1 s= 1000 lb/in. 20 in.
A 5-lb bar is attached to a 10-b uniform cylinder by a square pin, P, as shown. Knowing that r= 16 in., h= 8 in., 0 = 20°, L = 20 in, and w = 2 rad/s at the instant shown, determine the reactions at Pat this instant assuming that the cylinder rolls without sliding down the incline. The reaction at Pis [ 3.42 lb The moment is 155 ft-lb O. 70.5
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...
Consider the frame in Fig. 1, the node and element numbers as well as the material and geometrical characteristics of the beam elements are also displayed on the same figure. The frame is subjected to two concentrated loads at nodes 2 and 3 and a uniform distributed load over beam 3. The frame is fixed at nodes 1 and 5. A global coordinate system is established with origin at node 1 and x-y axes positively directed to the right and...
Element 1 is a steel bar that has a circular cross-section with a radius of 30 mm. Element 2 is an aluminum bar that has a circular cross-section with a radius of 50 mm. Element 3 is a steel bar that has a circular cross- section with a radius of 60 mm. Assume for steel, the moduļus, E, is 2.0E11 Pa, and the density, p, is 7800 kg/m3. Assume for aluminum, E-7.0E10 Pa, and p-2700 kg/m3. The rigid, massless rod...
Q2 (a) (0) Explain what is meant by interpolation in the Finite Element Method and why it is used (3 marks) What is a shape function? (3 marks) PLEASE TURN OVER 16363,16367 Page 2 of 3 0.2 (a) (Continued) (iii) For an isoparametric element, explain the relationship between shape functions, the geometry of the element and the shape the loaded element will deform to. (3 marks) (iv) Describe the relationship between structural equilibrium and the minimum potential energy state. (3...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W = 30.0 lb are attached to collars of negligible weight that slide without friction along fixed bars. A vertical force P is applied to collar B. The bar is initially at rest in the position shown and the initial angular acceleration of A is 40.0 ft/s to the left, aA = – 40 ft/s i. o= 30° {= 36 in O Draw a free...
#3-16, If the man at B exerts a force of P 30 lb on the rope, determine the magnitude of the force F the man at C must exert to prevent the pole from rotating, i.e., so the resultant moment about A of both forces is zero. of nt 6 ft 45° 12 ft Probs. 3-15/16
Q.2 (a) (Continued) (11) For an isoparametric element, explain the relationship between shape functions, the geometry of the element and the shape the loaded element will deform to. (3 marks) (iv) Describe the relationship between structural equilibrium and the minimum potential energy state. (3 marks) (b) Imman F FIGURE Q2b: 3 Springs (0) Derive an expression for the Total Potential Energy of the structure shown above in Q2b. (5 marks) (1) Apply the minimum potential energy method to derive the...
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