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Week 7. Question 1: Use the stiffness method to determine the horizontal and vertical displacements at...
Use the stiffness method to determine the horizontal and vertical components of the displacement at Joints...
Use the stiffness method to determine the horizontal and vertical components of the displacement at Joints C and D. For all bars, E = 206.8 GPa and A = 1290 mm². Take i = 70 kN and j = 80 kN. 3.66 m 4.88 m Joint C: a) Az = b) 4y = Joint D: c) 4, = d) 4, =
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2-108 kPa, A=00, I = 1.2e - 4 mº.. For the truss member DB, E = 200000000 kPa, A=0.002 m2. Also, take L=6.9 m and w=30 kN/m. Degrees of freedom l- _-2L Calculate the the bending moment at Joint B following the steps below: Part 1: Assemble the global structure stiffness matrix. Note that ABC is infinitely rigid in the...
Week 9, Question 2: Use the stiffness method to analyse the elastic frame ABC shown below....
Week 9, Question 2: Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 ·10kPa, A = 0.005 m², 1 = 1.5e – 4 m+.. Also the lengths of the elements are the same: AB = BC = L = 6.5 m and w = 12 kN/m. 0 А x...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2.108 kPa, A = 0,1 = 1.2e – 4 mº.. For the truss member DB, E = 200000000 kPa, A = 0.002 m². Also, take L = 4.8 m and a = 25 kN/m. 0 2 A B C III 7 L 3 4 Degrees of freedom D L -2L Calculate the the bending moment at Joint B following the...
Week 9. Question 1: Use the stiffness method to analyse the structure shown below. For the...
Week 9. Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2 -10% kPa, A -00, = 1.2e - 4 m. For the truss member DB, E = 200000000 kPa, A = 0.002 m. Also, take L54 m and w37 kN/m с 7 Degrees of freedom 22 Calculate the the bending moment at Joint B following the steps below. Part 1: Assemble the global structure stiffness matrix. Note that ABC is...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 -10% kPa, A = 0.005 m², 1 = 1.5e - 4 m. Also the lengths of the elements are the same: AB = BC = L = 3.1 m and 6 = 45 kN/m. ות 0 B 3 2 x...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 -10% kPa, A = 0.005 m², 1 = 1.5e - 4 m. Also the lengths of the elements are the same: AB = BC = L = 3.1 m and 6 = 45 kN/m. ות 0 B 3 2 x...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 -10% kPa, A = 0.005 m², 1 = 1.5e - 4 m. Also the lengths of the elements are the same: AB = BC = L = 3.1 m and 6 = 45 kN/m. ות 0 B 3 2 x...
Using the stiffness method, determine the axial forces within members and the displacements of jo...
Using the stiffness method, determine the axial forces within
members and the displacements of joints of the truss shown in the
Figure 1. The truss was built using 50 mm x 50 mm x 3 mm SHS with
E= 200 GPa (approx). (Cross members BD and CE are not connected at
the middle)
(a) Show local stiffness matrices for each member and the
assembled global stiffness matrix. Show your step by step solution.
(30 Marks)
(b) Use an appropriate method...
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...
Use the stiffness method to determine the horizontal and vertical components of the displacement at Joints C and D. For all bars, E = 206.8 GPa and A = 1290 mm². Take i = 70 kN and j = 80 kN. 3.66 m 4.88 m Joint C: a) Az = b) 4y = Joint D: c) 4, = d) 4, =
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2-108 kPa, A=00, I = 1.2e - 4 mº.. For the truss member DB, E = 200000000 kPa, A=0.002 m2. Also, take L=6.9 m and w=30 kN/m. Degrees of freedom l- _-2L Calculate the the bending moment at Joint B following the steps below: Part 1: Assemble the global structure stiffness matrix. Note that ABC is infinitely rigid in the...
Week 9, Question 2: Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 ·10kPa, A = 0.005 m², 1 = 1.5e – 4 m+.. Also the lengths of the elements are the same: AB = BC = L = 6.5 m and w = 12 kN/m. 0 А x...
Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2.108 kPa, A = 0,1 = 1.2e – 4 mº.. For the truss member DB, E = 200000000 kPa, A = 0.002 m². Also, take L = 4.8 m and a = 25 kN/m. 0 2 A B C III 7 L 3 4 Degrees of freedom D L -2L Calculate the the bending moment at Joint B following the...
Week 9. Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2 -10% kPa, A -00, = 1.2e - 4 m. For the truss member DB, E = 200000000 kPa, A = 0.002 m. Also, take L54 m and w37 kN/m с 7 Degrees of freedom 22 Calculate the the bending moment at Joint B following the steps below. Part 1: Assemble the global structure stiffness matrix. Note that ABC is...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 -10% kPa, A = 0.005 m², 1 = 1.5e - 4 m. Also the lengths of the elements are the same: AB = BC = L = 3.1 m and 6 = 45 kN/m. ות 0 B 3 2 x...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 -10% kPa, A = 0.005 m², 1 = 1.5e - 4 m. Also the lengths of the elements are the same: AB = BC = L = 3.1 m and 6 = 45 kN/m. ות 0 B 3 2 x...
Use the stiffness method to analyse the elastic frame ABC shown below. Use a model made up of 2 the elements (AB and CB) and the axis indicated in the figure. All members have the following properties: E = 2 -10% kPa, A = 0.005 m², 1 = 1.5e - 4 m. Also the lengths of the elements are the same: AB = BC = L = 3.1 m and 6 = 45 kN/m. ות 0 B 3 2 x...
Using the stiffness method, determine the axial forces within
members and the displacements of joints of the truss shown in the
Figure 1. The truss was built using 50 mm x 50 mm x 3 mm SHS with
E= 200 GPa (approx). (Cross members BD and CE are not connected at
the middle)
(a) Show local stiffness matrices for each member and the
assembled global stiffness matrix. Show your step by step solution.
(30 Marks)
(b) Use an appropriate method...
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...
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