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4 3 30° 2 All three elements have the same modulus E and area A. A...
A plane truss element is shown in Figure 4, All elements have cross-sectional area of A = 8 in, a...
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 al 3 elements. Show your work and follow the finite element method matrix formulation we have covered in lectures. 4 5 kip 10 240 ft 30 ft30 ft Figure 4.
A plane truss element is shown...
A plane truss element is shown in Figure 4. All elements have cross-sectional area of A = 8 in, a...
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...
A plane structure consists of three truss elements connected to four nodes, as shown below. All t...
A plane structure consists of three truss elements connected to four nodes, as shown below. All trusses have cross sectional area A -7.104 m2 and elastic modulus E = 210 GPa. The length of each truss element is L = 1 m. A point force, P -5 kN, is acting on node 4 L/2 3.1 Calculate the displacements at the nodes 3.2 Calculate the reaction forces 3.3 Calculate the stress in each bar
A plane structure consists of three truss...
Problem 2 (3 points) 1m 1m For the planar truss below, determine the nodal oay displacements in t...
Problem 2 (3 points) 1m 1m For the planar truss below, determine the nodal oay displacements in the Global Coordinate system using the finite element direct method Global y Node 2 Node 1 Global x Element 1Element 2 2m Assume all the truss members are of the same Young's modulus E-65x 109 Nm. Element 1 and element 2 have the same cross-sectional area of 0.01 m and the cross-sectional area of element 3 is 0.02 m2. Do not rename the...
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for...
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
QUESTION 2 21 Finite elements can appear in many forms such as two-dimensional and three- dimensional domains Give two...
QUESTION 2 21 Finite elements can appear in many forms such as two-dimensional and three- dimensional domains Give two examples and a sketch for each domain. (4) 22 Explain the following terms as used in Finite element equations a Plain stress b Plain strain 23 Use the Finite element method to develop the stiffness matrix for element 2 of the steel cantilever beam structure shown in Figure 2 The elastic modulus IS 200 kN/mm2 with a thickness of 1 unit...
The members of the truss shown below have a cross sectional area of 0.0002m^2 and Young's modulus of E=69GPa. De...
The members of the truss shown below have a cross
sectional area of 0.0002m^2 and Young's modulus of E=69GPa.
Determine the deflection at each joint using Finite Element
Method.
500 N 500 N Fuc (compression) Faa (tension) 2 m 500 N 45° 45" ac (compression) Fas (tension)
500 N 500 N Fuc (compression) Faa (tension) 2 m 500 N 45° 45" ac (compression) Fas (tension)
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has...
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has a length of 5 m and bar two a length of 10 m. The spring stiffness is k -2000 kN/m. CVE 4303(F) Page 2 of 4 Determine (a) the stiffness matrix for each of the three elements (15 marks) (b) the normal stresses in...
a,b,c,d & e please. Thanks! 1. Th e plane truss is loaded with a downward force...
a,b,c,d & e please. Thanks!
1. Th e plane truss is loaded with a downward force P -200 Ibs as shown below. area A-1 Truss element 1 is between nodes 1 and 2, and has the cross-sectional n Truss element 2 is between nodes 2 and 3, and has a cross-sectional area of 2V 10,000 lbs/in2. 2 in. All truss elements have the same Young's modulus E Length L = 20 in. 3 LE, A 2 2 4% (a) What...
Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below...
Finite element method
Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below. It is important that the displacement of the slider is accurately known for a given force, F. To find the relation between displacement and F, it was decided to use FE method. Node 1 is fully constrained, node 2 is free to rotate and translate along the horizontal, and node 3 is only free to rotate. (a) Select the appropriate element types for...
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 al 3 elements. Show your work and follow the finite element method matrix formulation we have covered in lectures. 4 5 kip 10 240 ft 30 ft30 ft Figure 4.
A plane truss element is shown...
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...
A plane structure consists of three truss elements connected to four nodes, as shown below. All trusses have cross sectional area A -7.104 m2 and elastic modulus E = 210 GPa. The length of each truss element is L = 1 m. A point force, P -5 kN, is acting on node 4 L/2 3.1 Calculate the displacements at the nodes 3.2 Calculate the reaction forces 3.3 Calculate the stress in each bar
A plane structure consists of three truss...
Problem 2 (3 points) 1m 1m For the planar truss below, determine the nodal oay displacements in the Global Coordinate system using the finite element direct method Global y Node 2 Node 1 Global x Element 1Element 2 2m Assume all the truss members are of the same Young's modulus E-65x 109 Nm. Element 1 and element 2 have the same cross-sectional area of 0.01 m and the cross-sectional area of element 3 is 0.02 m2. Do not rename the...
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
QUESTION 2 21 Finite elements can appear in many forms such as two-dimensional and three- dimensional domains Give two examples and a sketch for each domain. (4) 22 Explain the following terms as used in Finite element equations a Plain stress b Plain strain 23 Use the Finite element method to develop the stiffness matrix for element 2 of the steel cantilever beam structure shown in Figure 2 The elastic modulus IS 200 kN/mm2 with a thickness of 1 unit...
The members of the truss shown below have a cross
sectional area of 0.0002m^2 and Young's modulus of E=69GPa.
Determine the deflection at each joint using Finite Element
Method.
500 N 500 N Fuc (compression) Faa (tension) 2 m 500 N 45° 45" ac (compression) Fas (tension)
500 N 500 N Fuc (compression) Faa (tension) 2 m 500 N 45° 45" ac (compression) Fas (tension)
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has a length of 5 m and bar two a length of 10 m. The spring stiffness is k -2000 kN/m. CVE 4303(F) Page 2 of 4 Determine (a) the stiffness matrix for each of the three elements (15 marks) (b) the normal stresses in...
a,b,c,d & e please. Thanks!
1. Th e plane truss is loaded with a downward force P -200 Ibs as shown below. area A-1 Truss element 1 is between nodes 1 and 2, and has the cross-sectional n Truss element 2 is between nodes 2 and 3, and has a cross-sectional area of 2V 10,000 lbs/in2. 2 in. All truss elements have the same Young's modulus E Length L = 20 in. 3 LE, A 2 2 4% (a) What...
Finite element method
Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below. It is important that the displacement of the slider is accurately known for a given force, F. To find the relation between displacement and F, it was decided to use FE method. Node 1 is fully constrained, node 2 is free to rotate and translate along the horizontal, and node 3 is only free to rotate. (a) Select the appropriate element types for...
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