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)
Homework Answers
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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...
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)...
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...
(Anker ALL questions 1. (10 marks) Fig. 1-1 shows a statically indeterminate truss under a vertical...
(Anker ALL questions 1. (10 marks) Fig. 1-1 shows a statically indeterminate truss under a vertical force of 20 les point A and member 1 is was made 0.01m too short before it was fitted into place structural stiffness matrix is given below. Structural Martin -55 166154 0 -830.77 553.85 -830.77 0 738.46 553.85 -369 31 -55 -369 -830.77 553 85830.77 -553.85 553.85 -369.23 -553.85 369.231 0 -830.77 -553.85 0 830.77 553.85 -553.85 -369.23 0 0 553.85 369.23 a. Determine...
13. Based on the stiffness method, determine the stiffness matrix K for the truss shown in...
13. Based on the stiffness method, determine the stiffness matrix K for the truss shown in figure. Use the stiffness matrix to calculate the unknown displacement (D1 and D2) at the node where the load 5 kN and 10 kN are applied, and then determine the reactions at the pinned supports (Q3, Q4, Q5 and 26). Note that the degrees of freedom (DOFs) of the truss are indicated in the figure. Take EA as constant. The supports are pinned. 4....
please do 14-11 petermine the stitfness matrix k for estant rix K for the truss AE...
please do 14-11
petermine the stitfness matrix k for estant rix K for the truss AE i e the force in member 6. Take erand200 GPa for each member. termine the force in member 1 if this member before it was fitted into the truss. For 1move the 10-kN load. Take A 0.0015 m2 1o mm too long it so200 GPa for each member. 2 11 3 m
Question 4 The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of m...
Question 4 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 3 600 4 3 1.5m...
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...
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...
Use MATLAB to determine the five unknown displacements of the following truss and determine the axial...
Use MATLAB to determine the five unknown displacements of the
following truss and determine the axial force in all members of the
truss. Take A = 0.0015 m^2 and E = 200 GPa for each member.
Please post the MATLAB code, as well as the final answers.
2 4 1 3 m 4 13 4 m 7 kN
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and...
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
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)...
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...
(Anker ALL questions 1. (10 marks) Fig. 1-1 shows a statically indeterminate truss under a vertical force of 20 les point A and member 1 is was made 0.01m too short before it was fitted into place structural stiffness matrix is given below. Structural Martin -55 166154 0 -830.77 553.85 -830.77 0 738.46 553.85 -369 31 -55 -369 -830.77 553 85830.77 -553.85 553.85 -369.23 -553.85 369.231 0 -830.77 -553.85 0 830.77 553.85 -553.85 -369.23 0 0 553.85 369.23 a. Determine...
13. Based on the stiffness method, determine the stiffness matrix K for the truss shown in figure. Use the stiffness matrix to calculate the unknown displacement (D1 and D2) at the node where the load 5 kN and 10 kN are applied, and then determine the reactions at the pinned supports (Q3, Q4, Q5 and 26). Note that the degrees of freedom (DOFs) of the truss are indicated in the figure. Take EA as constant. The supports are pinned. 4....
please do 14-11
petermine the stitfness matrix k for estant rix K for the truss AE i e the force in member 6. Take erand200 GPa for each member. termine the force in member 1 if this member before it was fitted into the truss. For 1move the 10-kN load. Take A 0.0015 m2 1o mm too long it so200 GPa for each member. 2 11 3 m
Question 4 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 3 600 4 3 1.5m...
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...
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...
Use MATLAB to determine the five unknown displacements of the
following truss and determine the axial force in all members of the
truss. Take A = 0.0015 m^2 and E = 200 GPa for each member.
Please post the MATLAB code, as well as the final answers.
2 4 1 3 m 4 13 4 m 7 kN
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
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