Displacements, reactions, and internal forces using Flexibility Method
Compute the displacements, reactions and internal forces for the structure shown below using the flexibility method of analysis. You only need to report the displacements at point b. All members have an elastic modulus E = 29,000 ksi
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Displacements, reactions, and internal forces using Flexibility Method
Displacements, reactions, and internal forces using Flexibility Method
Compute the displacements, reactions and internal forces for the structure shown below using the flexibility method of analysis. You only need to report the displacements at point b. All members have an elastic modulus E = 29,000 ksi
1. Find displacements at each node and forces in each element for the series of spring...
1. Find displacements at each node and forces in each element for the series of spring shown below. (20 points) 3 4 3 100 K k1 k4 u2 k3 из U4 k1 50 k/in k2- 20 k/in k3-40 k/in k4-50 k/in 2. For the following truss structure, all the members has the same elastic modulus E and cross section area A. (10 points) 2 4000 lb 10.000 lb 3 3 4 30 in. 30 in. 30 in Find the structural...
Using Flexibility Method, please find: a.Support reactions of the structure b.Calculate and draw the internal force...
Using Flexibility Method, please find:
a.Support reactions of the structure
b.Calculate and draw the internal force diagram of the
structure
Note :
n = 2 , q = 3,84 , p1 = 38,4 , p2 = 3,84
P1 kΝ P1 kN qkN/m F A 3 E 2 E! A 2 EI 3nx 1 m nx 1 m nx 1 m 2 m
Problem 2: For the truss shown, compute all member forces using the method of consistent deformations...
Problem 2: For the truss shown, compute all member forces using the method of consistent deformations by taking the force in member M6 (between joints 1 and 4) as redundant. Given: E-29,000 ksi and A-2.0 in2 A-2.0 in for all members. 20 kips 3 4. M4 M5 M6 10 ft uo M1 2 10 ft
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 displ...
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 GPa, 1-2000 cm 10 kN 2 kN/m 5 kN-m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below....
1) Using the section location (section S-S), Find the internal axial forces related. 2) Using the joint method, find the internal axial forces in all members of the truss shown below.
1) Using the section location (section S-S), Find the internal axial forces related. 2) Using the joint method, find the internal axial forces in all members of the truss shown below.P1 = 70K P2 = 130KN P3 = 90KN P4 = 80KN X1 = 3m X4 = 4.5mI need this by tomorrow, please
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...
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...
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...
For the trusses using the flexibility method to solve the problem Selecting the horizontal reactions at...
For the trusses using the flexibility method to solve the problem Selecting the horizontal reactions at C as redundant (Cx) AE=constant A=1000 mm E=200 GPa (a) Compute the reactions and bar forces produced by the applied loads (b) Formulate the compatibility equation. Formulate the new compatibility equation if support A settles 10 mm A B 6 m С D 48 KN 8 m 8 m
1. Find displacements at each node and forces in each element for the series of spring shown below. (20 points) 3 4 3 100 K k1 k4 u2 k3 из U4 k1 50 k/in k2- 20 k/in k3-40 k/in k4-50 k/in 2. For the following truss structure, all the members has the same elastic modulus E and cross section area A. (10 points) 2 4000 lb 10.000 lb 3 3 4 30 in. 30 in. 30 in Find the structural...
Using Flexibility Method, please find:
a.Support reactions of the structure
b.Calculate and draw the internal force diagram of the
structure
Note :
n = 2 , q = 3,84 , p1 = 38,4 , p2 = 3,84
P1 kΝ P1 kN qkN/m F A 3 E 2 E! A 2 EI 3nx 1 m nx 1 m nx 1 m 2 m
Problem 2: For the truss shown, compute all member forces using the method of consistent deformations by taking the force in member M6 (between joints 1 and 4) as redundant. Given: E-29,000 ksi and A-2.0 in2 A-2.0 in for all members. 20 kips 3 4. M4 M5 M6 10 ft uo M1 2 10 ft
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 GPa, 1-2000 cm 10 kN 2 kN/m 5 kN-m 10 m
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below....
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...
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...
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...
For the trusses using the flexibility method to solve the problem Selecting the horizontal reactions at C as redundant (Cx) AE=constant A=1000 mm E=200 GPa (a) Compute the reactions and bar forces produced by the applied loads (b) Formulate the compatibility equation. Formulate the new compatibility equation if support A settles 10 mm A B 6 m С D 48 KN 8 m 8 m
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