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t is given that E 29.5 x 10 psi and 3- Consider the four-bar truss shown...
Solve the following truss problem. All truss members are ANSI 2x2x0.25 hollow square tubes (with rounded...
Solve the following truss problem. All truss members are ANSI 2x2x0.25 hollow square tubes (with rounded corners) for which the cross-section area is A-1.5891 in2. The material has a modulus of E-29E6 psi. Length of element 1 and 5 is L-20 inches, and length of element 3 and 6 is 2L 40 inches. 7 5 6 P-1000 lb 2. 1. Solve in an Excel spreadsheet using the truss element. Note that there are only four different element stiffness matrices (look...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the ele...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the element stiffness matrix in global axis system [KG] of the members and assembled them to generate the overall stiffness matrix [K of the truss. Modify the stiffness matrix [K] in order to incorporate boundary conditions following the elimination technique of rows and columns. Take E 200 GPa...
matrix structural Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in....
matrix structural
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in. All areas are 2 in2 and E- 29 x 10° psi. Use the stiffness matrix method. 30000 All areas 2 in2 E-29x106 psi 21 ② 3 10 ft
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node...
For the truss shown in the below figure, determine the stifness matrix for each truss element,...
For the truss shown in the below figure, determine the stifness
matrix for each truss element, the stiffness matrix for entire
truss, the displacements at nodes 1 through 4, and the force in
elements 1 through 5. Also, determine the force in each element.
Let A = 3 in2, E = 30 x 106
psi for all elements.
8 kips 8 kips 10 ft. 3 4 2 トー-10ft.-*-10 ft.
For the plane bar trusses shown in Figure 2. All bar elements have E= 210GPa and A-4.0 x 10-4 m2....
For the plane bar trusses shown in Figure 2. All bar elements have E= 210GPa and A-4.0 x 10-4 m2. Note: 1GPa=UPKN/m? 3 m 45° IO KN 3 m 20 kN FIG. 3: Plane trusses Determine: element 1 stiffness matrix element 2 stiffness matrix, element 3 stiffness matrix global stiffness matrix [K], global balance equation, boundary conditions, the horizontal displacement of node1 the vertical displacement of node 1 the horizontal reaction force at node 3, the vertical reaction force at...
Problem 3 (23%) The following beam is discretize into 2 elements. E-29x106 psi, I-375 in and A (b...
Problem 3 (23%) The following beam is discretize into 2 elements. E-29x106 psi, I-375 in and A (beam cross sectional area) -9.12 in2 1. 2. 3. 4. Calculate the stiffness matrix of each of the 2 elements Calculate the global stiffness matrix of the beam Calculate the force matrix Calculate the deflection at node 3 and slopes at node 2 and 3 1.000 lb/ft 10 ft .5 ft+-2.5 ft 500 lb
Problem 3 (23%) The following beam is discretize into...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in X-direction); Py none (in Y-direction); E 30,000 ksi; A 0.2 square inches. The nodal coordinates, the earth-quake displacement/settlement, and members' connectivity information are given aS Applied Load! Earth-Quake MEMBER #1 NODE # X node-i node-j 120.00" 160.00"| 80.00"| Px=-10 Kips none Py- none 120.00" 160.00"0.00"none 120.00"0.00" 0.00" none 0.00" 0.00"0.00" none 0.00" 0.00" 80.00" none none 2 none 4 4 none 4 +2.00" (in...
I. Solve the following truss system (left) with global degrees of freedom given (right). Member 1-2:...
I. Solve the following truss system (left) with global degrees of freedom given (right). Member 1-2: AE-5V5 Member 1-3: AE 5V5 Member 2-3: AE 42 F-5 1 #5 (1) Construct element stiffness matrices and the global system of equation. (2) Obtain u, and us (3) Obtain all reaction forces. (4) If member 1-3 is removed, is the structure stable? Use reduced stiffiness matrix to verify stability of this case.
Use MAT:AB to code 650:231 M.E. Computational Analysis and Design Finally, give the member force by...
Use MAT:AB to code
650:231 M.E. Computational Analysis and Design Finally, give the member force by (see (8) in Project_2_Suppliment) PART A 15 Pts.] Consider the truss given by Fig. 2. The height of the truss is 3 ft. The cross sectional area and Young's modulus of each bar is a-I in, and E-30 Mpsi (106 lb/in2), respectively. The symbol # for the applied load indicates the unit of lb. The truss is supported by a pin at node 6...
Grid 4 Grid 3 Po 15 in Grid 1 Grid 2 10 in Figure 1: Problem...
Grid 4 Grid 3 Po 15 in Grid 1 Grid 2 10 in Figure 1: Problem 1 Schematic Problem 1 The truss (all joints are pinned) structure in figure 1 is made of members with cross sectional area A- 1 in2, with a linear elastic, homogeneous, isotropic material with an elastic modulus, E, 10E6 psi and a coefficient of thermal expansion. α-6E-6 op-1. The structure starts out at a uniform temperature of 65°F and is raised to a final temperature...
Solve the following truss problem. All truss members are ANSI 2x2x0.25 hollow square tubes (with rounded corners) for which the cross-section area is A-1.5891 in2. The material has a modulus of E-29E6 psi. Length of element 1 and 5 is L-20 inches, and length of element 3 and 6 is 2L 40 inches. 7 5 6 P-1000 lb 2. 1. Solve in an Excel spreadsheet using the truss element. Note that there are only four different element stiffness matrices (look...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the element stiffness matrix in global axis system [KG] of the members and assembled them to generate the overall stiffness matrix [K of the truss. Modify the stiffness matrix [K] in order to incorporate boundary conditions following the elimination technique of rows and columns. Take E 200 GPa...
matrix structural
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in. All areas are 2 in2 and E- 29 x 10° psi. Use the stiffness matrix method. 30000 All areas 2 in2 E-29x106 psi 21 ② 3 10 ft
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node...
For the truss shown in the below figure, determine the stifness
matrix for each truss element, the stiffness matrix for entire
truss, the displacements at nodes 1 through 4, and the force in
elements 1 through 5. Also, determine the force in each element.
Let A = 3 in2, E = 30 x 106
psi for all elements.
8 kips 8 kips 10 ft. 3 4 2 トー-10ft.-*-10 ft.
For the plane bar trusses shown in Figure 2. All bar elements have E= 210GPa and A-4.0 x 10-4 m2. Note: 1GPa=UPKN/m? 3 m 45° IO KN 3 m 20 kN FIG. 3: Plane trusses Determine: element 1 stiffness matrix element 2 stiffness matrix, element 3 stiffness matrix global stiffness matrix [K], global balance equation, boundary conditions, the horizontal displacement of node1 the vertical displacement of node 1 the horizontal reaction force at node 3, the vertical reaction force at...
Problem 3 (23%) The following beam is discretize into 2 elements. E-29x106 psi, I-375 in and A (beam cross sectional area) -9.12 in2 1. 2. 3. 4. Calculate the stiffness matrix of each of the 2 elements Calculate the global stiffness matrix of the beam Calculate the force matrix Calculate the deflection at node 3 and slopes at node 2 and 3 1.000 lb/ft 10 ft .5 ft+-2.5 ft 500 lb
Problem 3 (23%) The following beam is discretize into...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in X-direction); Py none (in Y-direction); E 30,000 ksi; A 0.2 square inches. The nodal coordinates, the earth-quake displacement/settlement, and members' connectivity information are given aS Applied Load! Earth-Quake MEMBER #1 NODE # X node-i node-j 120.00" 160.00"| 80.00"| Px=-10 Kips none Py- none 120.00" 160.00"0.00"none 120.00"0.00" 0.00" none 0.00" 0.00"0.00" none 0.00" 0.00" 80.00" none none 2 none 4 4 none 4 +2.00" (in...
I. Solve the following truss system (left) with global degrees of freedom given (right). Member 1-2: AE-5V5 Member 1-3: AE 5V5 Member 2-3: AE 42 F-5 1 #5 (1) Construct element stiffness matrices and the global system of equation. (2) Obtain u, and us (3) Obtain all reaction forces. (4) If member 1-3 is removed, is the structure stable? Use reduced stiffiness matrix to verify stability of this case.
Use MAT:AB to code
650:231 M.E. Computational Analysis and Design Finally, give the member force by (see (8) in Project_2_Suppliment) PART A 15 Pts.] Consider the truss given by Fig. 2. The height of the truss is 3 ft. The cross sectional area and Young's modulus of each bar is a-I in, and E-30 Mpsi (106 lb/in2), respectively. The symbol # for the applied load indicates the unit of lb. The truss is supported by a pin at node 6...
Grid 4 Grid 3 Po 15 in Grid 1 Grid 2 10 in Figure 1: Problem 1 Schematic Problem 1 The truss (all joints are pinned) structure in figure 1 is made of members with cross sectional area A- 1 in2, with a linear elastic, homogeneous, isotropic material with an elastic modulus, E, 10E6 psi and a coefficient of thermal expansion. α-6E-6 op-1. The structure starts out at a uniform temperature of 65°F and is raised to a final temperature...
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