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MEE456 Homework Consider the beam shown below: 550 Analyze this beam using a 3-node, 2-element model...
For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa...
For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa .20 kN m
For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa .20 kN m
Problem 9: Consider the statically indeterminate beam shown below with the given loading. E and I...
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Problem 9: Consider the statically indeterminate beam shown below with the given loading. E and I are constant. a) Find the rotation at node 2 using the stiffness method. b) Find the unknown reactions using equilibrium and the force-displacement relationships. c) Draw final free body diagrams of the two beam elements and node 2, showing all forces with the correct values and directions. 2.0 k/ft Problem 9: 450 a) θ2_El b) M1 180k...
Please show work Answer shown below Problem 8: Consider the statically indeterminate beam shown below with...
Please show work
Answer shown below
Problem 8: Consider the statically indeterminate beam shown below with the given loading. E and I are constant. a) Find the rotation at node 2 using the stiffness method. b) Find the unknown reactions using equilibrium and the force-displacement relationships. Draw final free body diagrams of the two beam elements and node 2, showing all forces with the correct values and directions. c) 2.5 k/ft 30 ft 20 ft Problem : θ2=562.5k-ft2 rad a)...
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...
finaite element 3. Consider the beam-bending problem shown below. Using one element and assuming that the...
finaite element
3. Consider the beam-bending problem shown below. Using one element and assuming that the beam length is , modulus of elasticity E, area A, and moment of inertial: a) Solve for unknown displacements. b) Find the displacement at x = 1/2 4. For problem 3 above assume that these is no truss axial effect or D.O.F Compute components of the element stiffness matrix using shape functions. K22 k23 k24 k33 k34 K44
2. The beam shown in the figure below is a wide-flange W16x31 with a cross-sectional area...
2. The beam shown in the figure below is a wide-flange W16x31 with a cross-sectional area of 9.12 in- and a depth of 15.88 in. The second moment of area is 375 in". The beam is subjected to a uniformly distributed load of 1000 lb/ft and a point load of 500 lb. The modulus of elasticity of the beam is E = 29x106 1b/in. Determine the vertical displacement at node 3 and the rotations at nodes 2 and 3. Also,...
Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below.
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...
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...
Problem 7: Consider the statically indeterminate beam shown below with the given loading. E- 29,000 ksi...
Problem 7: Consider the statically indeterminate beam shown below with the given loading. E- 29,000 ksi and I- 600 in a) Use the stiffness method to find the rotation at node 1. b) Determine the unknown reactions using the force-displacement relationships. c) Draw the shear and moment diagrams for the beam. 12 k 2
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute di...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam. Note that there is a hinge at B. Take E= 250 G Pa, 1 = 2000 cm- 10 kN 5 kN-m 2 kN/m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam...
For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa .20 kN m
For the beam shown in below, determine the displacements and rotations at the nodes, the forces in each element, and reactions. Also, draw the shear force and bending moment diagrams 10 kN 2 E210 GPa .20 kN m
Answers shown below please show the
process/explain
Problem 9: Consider the statically indeterminate beam shown below with the given loading. E and I are constant. a) Find the rotation at node 2 using the stiffness method. b) Find the unknown reactions using equilibrium and the force-displacement relationships. c) Draw final free body diagrams of the two beam elements and node 2, showing all forces with the correct values and directions. 2.0 k/ft Problem 9: 450 a) θ2_El b) M1 180k...
Please show work
Answer shown below
Problem 8: Consider the statically indeterminate beam shown below with the given loading. E and I are constant. a) Find the rotation at node 2 using the stiffness method. b) Find the unknown reactions using equilibrium and the force-displacement relationships. Draw final free body diagrams of the two beam elements and node 2, showing all forces with the correct values and directions. c) 2.5 k/ft 30 ft 20 ft Problem : θ2=562.5k-ft2 rad a)...
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...
finaite element
3. Consider the beam-bending problem shown below. Using one element and assuming that the beam length is , modulus of elasticity E, area A, and moment of inertial: a) Solve for unknown displacements. b) Find the displacement at x = 1/2 4. For problem 3 above assume that these is no truss axial effect or D.O.F Compute components of the element stiffness matrix using shape functions. K22 k23 k24 k33 k34 K44
2. The beam shown in the figure below is a wide-flange W16x31 with a cross-sectional area of 9.12 in- and a depth of 15.88 in. The second moment of area is 375 in". The beam is subjected to a uniformly distributed load of 1000 lb/ft and a point load of 500 lb. The modulus of elasticity of the beam is E = 29x106 1b/in. Determine the vertical displacement at node 3 and the rotations at nodes 2 and 3. Also,...
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...
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...
Problem 7: Consider the statically indeterminate beam shown below with the given loading. E- 29,000 ksi and I- 600 in a) Use the stiffness method to find the rotation at node 1. b) Determine the unknown reactions using the force-displacement relationships. c) Draw the shear and moment diagrams for the beam. 12 k 2
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam. Note that there is a hinge at B. Take E= 250 G Pa, 1 = 2000 cm- 10 kN 5 kN-m 2 kN/m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam...
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