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13. Based on the stiffness method, determine the stiffness matrix K for the truss shown in...
Determine the horizontal displacement at the node where 20 kN is applied. Also compute the reaction forces at the suppor...
Determine the horizontal displacement at the node where 20 kN is
applied. Also compute the reaction forces at the supports. The
stiffness method (see Week 9) can be used. Note
that the degrees of freedom (DOFs) of the truss are indicated in
the figure. Take EA as constant.
12. Determine the horizontal displacement at the node where 20 kN is applied. Also compute the reaction forces at the supports. The stiffness method (see Week 9) can be used. Note that...
Analyze the given truss structure using the stiffness method. Clearly state the steps and (matrix) equations...
Analyze the given truss structure using the stiffness method.
Clearly state the steps and (matrix) equations used in the
problem-solving process.
a) Label the degrees of freedom (both free and restrained DOFs)
of the structure.
b) Determine the stiffness matrix of each element in the local
and global coordinates.
c) Assemble the structure stiffness matrix Kff
considering free DOFs, then write the complete equilibrium
equations Kff Uf = Pf and solve
for the unknown displacement vector Uf.
d) Calculate the...
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffine...
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffiness matrix of the frame of problems 16.5 and 16.6 (p. 619). Indicate the degrees-of freedom in all the stiffness matrices. b) D Q4. S (10 marks) etermine all the displacement components at node 2 and all the reactions including the reactions at node 2. Show all calculations. c) (18 marks) of the frame on the compression side showing all the salient values (5 marks)...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
Q2. Statically determinate or indeterminate truss analysis by the stiffness method. (50 marks) a) Determine the stiffness matrix of the whole truss given in problems 14.9 and 14.10 (p. 583). Indicate...
Q2. Statically determinate or indeterminate truss analysis by
the stiffness method. (50 marks)
a) Determine the stiffness matrix of the whole truss given in
problems 14.9 and 14.10 (p. 583). Indicate the degrees-of freedom
in all the stiffness matrices. (18 marks)
b) Calculate all the nodal displacements and all the member forces
for the truss.
(16 marks)
14-9. Determine the stiffness matrix K for the trus Take A 0.0015 m2 and E 200 GPa for each member. 2 12 4...
Analyse the beam shown in Figure 4 using the stiffiness method. Node D is fixed and...
Analyse the beam shown in Figure 4 using the stiffiness method. Node D is fixed and node 2 and 3 are rollers. A uniform distributed load of 1 kN/m is acting on member 1 . And a load of 10 kN is acting at the middle of member2. EI is constant for all members a) Identify the force vector of the structure; [4 marks] b) Identify the displacement vector of the structure; [2 marks] c) Determine the stiffness matrices of...
Problem 2 [Required]: For the truss below (and using the Stiffness Method): (a) Determine the global...
Problem 2 [Required]: For the truss below (and using the Stiffness Method): (a) Determine the global stiffness matrix; (b) Calculate the vertical and horizontal displacement at joint B; (c) Calculate the force in members 1 and 5; (d) Calculate the reaction forces. NOTE: Joint A is pinned and Joint D is a roller. AE is constant. Use the chart below for selecting near and far nodes and use the provided coordination numbers. u2 2m 5 2 kN 3 Element 2...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a ver...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...
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...
Nine the stiffness matrix K for the truss. AE is nnstant l Determine ine the force in member 6. T...
do 14-9 please .
nine the stiffness matrix K for the truss. AE is nnstant l Determine ine the force in member 6. Take Dt andE200 GPa for each member. ermine the force in member 1 if this colution remove the 10-kN tb 1S 00015 m2 andthe 14 ar member ng before it was fitted into the truss. For ve the 10-kN load. Take A 0.0015 m2 200 GPa for each member. 4 6 4 10 kN
nine the stiffness...
Determine the horizontal displacement at the node where 20 kN is
applied. Also compute the reaction forces at the supports. The
stiffness method (see Week 9) can be used. Note
that the degrees of freedom (DOFs) of the truss are indicated in
the figure. Take EA as constant.
12. Determine the horizontal displacement at the node where 20 kN is applied. Also compute the reaction forces at the supports. The stiffness method (see Week 9) can be used. Note that...
Analyze the given truss structure using the stiffness method.
Clearly state the steps and (matrix) equations used in the
problem-solving process.
a) Label the degrees of freedom (both free and restrained DOFs)
of the structure.
b) Determine the stiffness matrix of each element in the local
and global coordinates.
c) Assemble the structure stiffness matrix Kff
considering free DOFs, then write the complete equilibrium
equations Kff Uf = Pf and solve
for the unknown displacement vector Uf.
d) Calculate the...
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffiness matrix of the frame of problems 16.5 and 16.6 (p. 619). Indicate the degrees-of freedom in all the stiffness matrices. b) D Q4. S (10 marks) etermine all the displacement components at node 2 and all the reactions including the reactions at node 2. Show all calculations. c) (18 marks) of the frame on the compression side showing all the salient values (5 marks)...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
Q2. Statically determinate or indeterminate truss analysis by
the stiffness method. (50 marks)
a) Determine the stiffness matrix of the whole truss given in
problems 14.9 and 14.10 (p. 583). Indicate the degrees-of freedom
in all the stiffness matrices. (18 marks)
b) Calculate all the nodal displacements and all the member forces
for the truss.
(16 marks)
14-9. Determine the stiffness matrix K for the trus Take A 0.0015 m2 and E 200 GPa for each member. 2 12 4...
Analyse the beam shown in Figure 4 using the stiffiness method. Node D is fixed and node 2 and 3 are rollers. A uniform distributed load of 1 kN/m is acting on member 1 . And a load of 10 kN is acting at the middle of member2. EI is constant for all members a) Identify the force vector of the structure; [4 marks] b) Identify the displacement vector of the structure; [2 marks] c) Determine the stiffness matrices of...
Problem 2 [Required]: For the truss below (and using the Stiffness Method): (a) Determine the global stiffness matrix; (b) Calculate the vertical and horizontal displacement at joint B; (c) Calculate the force in members 1 and 5; (d) Calculate the reaction forces. NOTE: Joint A is pinned and Joint D is a roller. AE is constant. Use the chart below for selecting near and far nodes and use the provided coordination numbers. u2 2m 5 2 kN 3 Element 2...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...
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...
do 14-9 please .
nine the stiffness matrix K for the truss. AE is nnstant l Determine ine the force in member 6. Take Dt andE200 GPa for each member. ermine the force in member 1 if this colution remove the 10-kN tb 1S 00015 m2 andthe 14 ar member ng before it was fitted into the truss. For ve the 10-kN load. Take A 0.0015 m2 200 GPa for each member. 4 6 4 10 kN
nine the stiffness...
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