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Consider the bar shown below which is made of two different materials with different cross sectional...
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...
Please solve this question clearly and step by step. Thank you 2. A truss assembly shown...
Please solve this question clearly and step by step.
Thank you
2. A truss assembly shown in Figure Q2 below is made of aluminum alloy that has a modulus of elasticity, E = 69 GPa. member is 225 mm2 The cross sectional area of each 4300 N (0, 40) m (40, 40) m 2 500 N 3 (0, 0) FIGURE Q2 Determine the global stiffness matrix for the truss assembly. a. [10 marks] Determine the displacement at node 3. b....
A system shown in Figure Q2 has a cross-sectional area, A- 15cm and is made of...
A system shown in Figure Q2 has a cross-sectional area, A- 15cm and is made of aluminum alloy (E= 70.0x 10 N/mm). Assume each node of the system can only move in a horizontal direction and assume the right direction as positive. The general equation of an element is: . Use the direct method to complete the following: -kk 5 kN 15 kN 3 m 3 m Figure Q2 Draw the schematic diagram of the system. Mark the indices of...
3. Consider a two-d.o.f bar element, as shown below, but let the cross-sectional area vary linearly...
3. Consider a two-d.o.f bar element, as shown below, but let the cross-sectional area vary linearly with x from Ag atx-0 to 2Ao at x - L Use the direct method to generate the element stiffness matrix. Suggestion: first compute the elongation produced by the axial force. a. b Use the formal procedure to generate the stiffness matrix. Suggestion use Eqn. 2.2.6 c The stiffness matrices of parts a and b do not agree. Why? ก็เ«F21 A E Fiz al...
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...
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 1 The truss (all joints are pinned) structure in figure 1 is made of members with cross s...
We were unable to transcribe this imageProblem 1 The truss (all joints are pinned) structure in figure 1 is made of members with cross sectional area A = 1 in, with a linear elastic, homogeneous, isotropic material with an elastic modulus. E-10E6 psi and a coefficient of thermal expansion, α-6E-6 °F-ι. The structure starts out at a uniform temperature of 65°F and is raised to a final temperature of 120°F while being subjected to a concentrated load Po- 5,000 lbs...
Problem 4. (3 points). Determine the nodal displacements and reaction forces using the finite ele...
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...
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and...
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and is fixed at both ends. Develop the finite element model of the bar using two linear elements. Note that the 3 nodes are shown and labeled. Use the following data: Ej = E2 = 200 GPa Aj = 0.01 m² A2 = 0.005 m² Li = L2 = 1 m f(x) = 3e7.x N/m HX f(x) - - 1 E1, A1,47 - - 2...
i need help with c and d but explain why Question 1 (10 marks). Assembly A model consists of two 1D trusses with dimens...
i need help with c and d but explain why
Question 1 (10 marks). Assembly A model consists of two 1D trusses with dimensions as given in Figure 1. Element 1 runs angle, connecting parallel to the x-axis, connecting node 1 and 2. Element 2 is running at an node 1 and 3. Node 1 has an applied force in the negative y-direction. Node 1 can only in y-direction, while nodes 2 and 3 are fixed in both x 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...
Please solve this question clearly and step by step.
Thank you
2. A truss assembly shown in Figure Q2 below is made of aluminum alloy that has a modulus of elasticity, E = 69 GPa. member is 225 mm2 The cross sectional area of each 4300 N (0, 40) m (40, 40) m 2 500 N 3 (0, 0) FIGURE Q2 Determine the global stiffness matrix for the truss assembly. a. [10 marks] Determine the displacement at node 3. b....
A system shown in Figure Q2 has a cross-sectional area, A- 15cm and is made of aluminum alloy (E= 70.0x 10 N/mm). Assume each node of the system can only move in a horizontal direction and assume the right direction as positive. The general equation of an element is: . Use the direct method to complete the following: -kk 5 kN 15 kN 3 m 3 m Figure Q2 Draw the schematic diagram of the system. Mark the indices of...
3. Consider a two-d.o.f bar element, as shown below, but let the cross-sectional area vary linearly with x from Ag atx-0 to 2Ao at x - L Use the direct method to generate the element stiffness matrix. Suggestion: first compute the elongation produced by the axial force. a. b Use the formal procedure to generate the stiffness matrix. Suggestion use Eqn. 2.2.6 c The stiffness matrices of parts a and b do not agree. Why? ก็เ«F21 A E Fiz al...
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...
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...
We were unable to transcribe this imageProblem 1 The truss (all joints are pinned) structure in figure 1 is made of members with cross sectional area A = 1 in, with a linear elastic, homogeneous, isotropic material with an elastic modulus. E-10E6 psi and a coefficient of thermal expansion, α-6E-6 °F-ι. The structure starts out at a uniform temperature of 65°F and is raised to a final temperature of 120°F while being subjected to a concentrated load Po- 5,000 lbs...
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...
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and is fixed at both ends. Develop the finite element model of the bar using two linear elements. Note that the 3 nodes are shown and labeled. Use the following data: Ej = E2 = 200 GPa Aj = 0.01 m² A2 = 0.005 m² Li = L2 = 1 m f(x) = 3e7.x N/m HX f(x) - - 1 E1, A1,47 - - 2...
i need help with c and d but explain why
Question 1 (10 marks). Assembly A model consists of two 1D trusses with dimensions as given in Figure 1. Element 1 runs angle, connecting parallel to the x-axis, connecting node 1 and 2. Element 2 is running at an node 1 and 3. Node 1 has an applied force in the negative y-direction. Node 1 can only in y-direction, while nodes 2 and 3 are fixed in both x and...
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