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 m and cross-sectional area of 1 m2. There is an applied external force acting at Node 2 of 20N.
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Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below.
Problem 3. (3 points). Determine the nodal displacements and reaction forces using the finite element direct...
Problem 3. (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 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 m. Element 2 has Young's Modulus of 200...
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...
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...
Determine the nodal displacements and find the reaction forces using the finite element method. Correct Answer:...
Determine the nodal displacements and find the reaction forces
using the finite element method.
Correct Answer:
1 m 1000 kN - Determine displacements and reactions E = 210 GPa 1 for 1 and 2 A=6x10-4 m| E = 210 GPa 1 m →X A=672x10-4 m2 for 3 d2x = 11.91x10-m; dăx = 5.613x10-'m . Fix =-500kN; F1, =-500kN; F2y = 0; F;, = 707 kN
blem 5 (25 points): Consider the system of bars shown below. Bars AB, CD, and EF...
blem 5 (25 points): Consider the system of bars shown below. Bars AB, CD, and EF are connected d link BED. Determine the horizontal displacement of point F B by a rigid . Bar AB has a cross-sectional area of 0.012 m2, a Young's modulus of 200 GPa, and a length of 0.34 m. . Bar CD has a cross-sectional area of 0.010 m2, a Young's modulus of 200 GPa, and a length of 034 m . Bar EF has...
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...
Carry out analysis of a beam hanging under its own weight in a 1d space using the finite element ...
Carry out analysis of a beam hanging under its own weight in a
1d space using the finite element 10-step procedure. Carry out the
analysis using a single 1d quadratic element. The figure below
contains the properties for the beam.
The properties of the beam are its length L123 mm, its cross-sectional area, A 0.0456 m2 its elastic modulus E205 -109 Pa and its density: p 765.2 kg m-3 constant body load: b
The properties of the beam are its...
Three rigid bodies (Nodes 2, 3, and 4) are connected by five springs as shown below....
Three rigid bodies (Nodes 2, 3, and 4) are connected by five
springs as shown below. Assume that the
bodies can only undergo translation in the horizontal direction.
Horizontal force P2=1000 N and
P4=1500 N is applied to Elements 2 and 4, respectively. The spring
constants in (N/mm) are given as:
k1=400, k2=500, k3=600, k4=100, and k5=300. Nodes 1 and 5 are
fixed. Determine the nodal
displacements and reaction forces at the walls.
Problem 1. (3 points) Three rigid bodies...
If possible please type. Q3. A rod is under distributed and concentrated forces as shown in...
If possible please type.
Q3. A rod is under distributed and concentrated forces as shown in Figure 2. The overall length is Im, the cross-section area is 0.01m²: 40 = 1000N Concentrated forces, F4 = 500N and F5 = 10000, are applied to nodes 4 and 5, respectively. Giving the Young's modules of 2 x 1011 Pa. Please calculate the displacement on node 2, node 3, node 4 and node 5 and stress on elements 1, 2, 3 and 4...
Problem 3. (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 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 m. Element 2 has Young's Modulus of 200...
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...
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...
Determine the nodal displacements and find the reaction forces
using the finite element method.
Correct Answer:
1 m 1000 kN - Determine displacements and reactions E = 210 GPa 1 for 1 and 2 A=6x10-4 m| E = 210 GPa 1 m →X A=672x10-4 m2 for 3 d2x = 11.91x10-m; dăx = 5.613x10-'m . Fix =-500kN; F1, =-500kN; F2y = 0; F;, = 707 kN
blem 5 (25 points): Consider the system of bars shown below. Bars AB, CD, and EF are connected d link BED. Determine the horizontal displacement of point F B by a rigid . Bar AB has a cross-sectional area of 0.012 m2, a Young's modulus of 200 GPa, and a length of 0.34 m. . Bar CD has a cross-sectional area of 0.010 m2, a Young's modulus of 200 GPa, and a length of 034 m . Bar EF has...
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...
Carry out analysis of a beam hanging under its own weight in a
1d space using the finite element 10-step procedure. Carry out the
analysis using a single 1d quadratic element. The figure below
contains the properties for the beam.
The properties of the beam are its length L123 mm, its cross-sectional area, A 0.0456 m2 its elastic modulus E205 -109 Pa and its density: p 765.2 kg m-3 constant body load: b
The properties of the beam are its...
Three rigid bodies (Nodes 2, 3, and 4) are connected by five
springs as shown below. Assume that the
bodies can only undergo translation in the horizontal direction.
Horizontal force P2=1000 N and
P4=1500 N is applied to Elements 2 and 4, respectively. The spring
constants in (N/mm) are given as:
k1=400, k2=500, k3=600, k4=100, and k5=300. Nodes 1 and 5 are
fixed. Determine the nodal
displacements and reaction forces at the walls.
Problem 1. (3 points) Three rigid bodies...
If possible please type.
Q3. A rod is under distributed and concentrated forces as shown in Figure 2. The overall length is Im, the cross-section area is 0.01m²: 40 = 1000N Concentrated forces, F4 = 500N and F5 = 10000, are applied to nodes 4 and 5, respectively. Giving the Young's modules of 2 x 1011 Pa. Please calculate the displacement on node 2, node 3, node 4 and node 5 and stress on elements 1, 2, 3 and 4...
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