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(1 point) Consider the following truss system. 2 교 All bars are either vertical, horizontal, or ...
(1 point) Consider the following truss system. All bars are vertical or horizontal. Enter the elongation...
(1 point) Consider the following truss system. All bars are vertical or horizontal. Enter the elongation matrix (in the form node 1: horiz, "node 1 vert, "node 2 horiz etc.) Compute a basis for the nullspace of A. Basis Match the following vectors with the movements they would represent and state whether they are in the nullspace of A 0 Movement 0 Movement 0 Movement: 0 Movement: D Y 1 In nul lspace? Yes 0 In nullspace? 1Yes 0 2...
(1 point) Consider the following truss system. 2 0 303 All angles are as marked. 3...
(1 point) Consider the following truss system. 2 0 303 All angles are as marked. 3 30(.. 30 Enter the elongation matrix: (in the form "node 1 horiz", "node 1 vert", "node 2 horiz" etc.) (Remember that webwork uses radians for computations.) Compute a basis for the nullspace of A. Basis
0 Course. [MAT 210 NI Sections] / Χ O MAT 210 All 5ections: Truss Syste Χ...
0 Course. [MAT 210 NI Sections] / Χ O MAT 210 All 5ections: Truss Syste Χ WeBWorK : math2 10 : Truss_Sys., ぐ → C ⓘGüvenli degil webwork.no.metu.edu.tr/webwork2/math210/Truss System-Rowsp-and-Nullsp/1/ Problemn 4 The answer above is NOT correct. (1 point) Consider the following truss system. All bars are either vertical, horizontal, or at 45 from horizontal. Enter the elongation matrix: in the form "node 1 horiz", 'node 1 vert', "node 2 horiz" etc.) 2 (1220 21 (Remember that webwork uses radians...
(1 point) Consider the following truss system. 030 All angles are as marked. Enter the elongation...
(1 point) Consider the following truss system. 030 All angles are as marked. Enter the elongation matrix (in the form node 1 horiz', "mode 1 vert, "node 2 horiz" etc.) (Remember that webwork uses radians for computations.) Compute a basis for the nullspace of A Basis Match the following vectors with the movements they would represent and state whether they are in the nullspace of A 0 Movement 1 Movement -1Movement 0 Movement 0 In nullspace? 1 In nullspace? No...
1) (100) For the following truss Determine the horizontal and vertical components of the reaction at...
1) (100) For the following truss Determine the horizontal and vertical components of the reaction at pin C, and the a. reaction at roller F required to support the truss. Use the method of joints to find the internal forces of each member b. Assuming the maximum allowable tensile stress is 36 ksi and the maximum allowable C. compressive stress is 30ksi what is the required cross sectional area? Assume each member has the same cross sectional area. A 20...
For truss shown below a vertical load of 25 KN and Horizontal Load of 30 KN...
For truss shown below a vertical load of 25 KN and Horizontal
Load of 30 KN applied at Node 3 ( Use FEM Nodal displacement,
Direct stiffness method)
1). Calculate clearly the member length and distance between
members A = 5 x 10^-4 m^2 and E = 200 GPa
2). Determine the member and global stiffness matrix and show
the calculation fot Sinθ and Cosθ clearly
3). determine the displacement and
member forces
All Load and dimensions are in meter...
2. The following is the free body diagram of the arm showing the vertical and horizontal...
2. The following is the free body diagram of the arm showing the vertical and horizontal components of the force exerted by the deltoid muscle measured in Newtons (N). Fv Fpeltoid FH o01m 0.1m 40N 025m The horizontal FH and vertical Fy components of the deltoid muscle force for the configuration shown above satisfy the following system of equations: Fv 0.22FH 0 0.10Fv 0.01F 0 a) Find Fy and Fu using the substitution method. (5 points) b) Write the system...
1. (60%) For the truss system shown below (a) (12%) Determine the element stiffness matrix w.r.t....
1. (60%) For the truss system shown below (a) (12%) Determine the element stiffness matrix w.r.t. the global coordinate system for all elements. (b) (10%) Determine the global stiffness matrix, [K]. (c) (5%) List all the boundary conditions. (d) (33%) Determine the internal force, elongation, stress, and strain for each element. Indicate whether it is under tension or compression. My LLLLLLLL 1 0 1-2=45° \ 30° 30° / 14116 141 16 12 2-3 = 30 3 1-4=300 Join But 45=225...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
Problem 2 (20 pts): Consider the following structure consisting of a set of bars. Assume the...
Problem 2 (20 pts): Consider the following structure consisting of a set of bars. Assume the Young's modulus and cross- sectional area of each bar are E = 200 kN/mm², A = 100 mm2. (a) Find the (complete) stiffness matrix of the structure (10 pts) (b) find the displacements of all the three nodes (5 pts) (c) find the reaction force at node B (5 pts) ܠܓܓܓܓܓܓܓ 2000 mm 45°A 10 kN + 20 kn
(1 point) Consider the following truss system. All bars are vertical or horizontal. Enter the elongation matrix (in the form node 1: horiz, "node 1 vert, "node 2 horiz etc.) Compute a basis for the nullspace of A. Basis Match the following vectors with the movements they would represent and state whether they are in the nullspace of A 0 Movement 0 Movement 0 Movement: 0 Movement: D Y 1 In nul lspace? Yes 0 In nullspace? 1Yes 0 2...
(1 point) Consider the following truss system. 2 0 303 All angles are as marked. 3 30(.. 30 Enter the elongation matrix: (in the form "node 1 horiz", "node 1 vert", "node 2 horiz" etc.) (Remember that webwork uses radians for computations.) Compute a basis for the nullspace of A. Basis
0 Course. [MAT 210 NI Sections] / Χ O MAT 210 All 5ections: Truss Syste Χ WeBWorK : math2 10 : Truss_Sys., ぐ → C ⓘGüvenli degil webwork.no.metu.edu.tr/webwork2/math210/Truss System-Rowsp-and-Nullsp/1/ Problemn 4 The answer above is NOT correct. (1 point) Consider the following truss system. All bars are either vertical, horizontal, or at 45 from horizontal. Enter the elongation matrix: in the form "node 1 horiz", 'node 1 vert', "node 2 horiz" etc.) 2 (1220 21 (Remember that webwork uses radians...
(1 point) Consider the following truss system. 030 All angles are as marked. Enter the elongation matrix (in the form node 1 horiz', "mode 1 vert, "node 2 horiz" etc.) (Remember that webwork uses radians for computations.) Compute a basis for the nullspace of A Basis Match the following vectors with the movements they would represent and state whether they are in the nullspace of A 0 Movement 1 Movement -1Movement 0 Movement 0 In nullspace? 1 In nullspace? No...
1) (100) For the following truss Determine the horizontal and vertical components of the reaction at pin C, and the a. reaction at roller F required to support the truss. Use the method of joints to find the internal forces of each member b. Assuming the maximum allowable tensile stress is 36 ksi and the maximum allowable C. compressive stress is 30ksi what is the required cross sectional area? Assume each member has the same cross sectional area. A 20...
For truss shown below a vertical load of 25 KN and Horizontal
Load of 30 KN applied at Node 3 ( Use FEM Nodal displacement,
Direct stiffness method)
1). Calculate clearly the member length and distance between
members A = 5 x 10^-4 m^2 and E = 200 GPa
2). Determine the member and global stiffness matrix and show
the calculation fot Sinθ and Cosθ clearly
3). determine the displacement and
member forces
All Load and dimensions are in meter...
2. The following is the free body diagram of the arm showing the vertical and horizontal components of the force exerted by the deltoid muscle measured in Newtons (N). Fv Fpeltoid FH o01m 0.1m 40N 025m The horizontal FH and vertical Fy components of the deltoid muscle force for the configuration shown above satisfy the following system of equations: Fv 0.22FH 0 0.10Fv 0.01F 0 a) Find Fy and Fu using the substitution method. (5 points) b) Write the system...
1. (60%) For the truss system shown below (a) (12%) Determine the element stiffness matrix w.r.t. the global coordinate system for all elements. (b) (10%) Determine the global stiffness matrix, [K]. (c) (5%) List all the boundary conditions. (d) (33%) Determine the internal force, elongation, stress, and strain for each element. Indicate whether it is under tension or compression. My LLLLLLLL 1 0 1-2=45° \ 30° 30° / 14116 141 16 12 2-3 = 30 3 1-4=300 Join But 45=225...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
Problem 2 (20 pts): Consider the following structure consisting of a set of bars. Assume the Young's modulus and cross- sectional area of each bar are E = 200 kN/mm², A = 100 mm2. (a) Find the (complete) stiffness matrix of the structure (10 pts) (b) find the displacements of all the three nodes (5 pts) (c) find the reaction force at node B (5 pts) ܠܓܓܓܓܓܓܓ 2000 mm 45°A 10 kN + 20 kn
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