16-5. Determine the structure stiffness matrix K for the frame. Assume ① and ③ are fixed. Take E = 200 GPa, 1300(10) mm, A 10(103) mm2 for each member. 16-6. Determine the support reactions at the fixed supports and ®. Take E 200 GPa, 300 (10%) mm, A 10(103) mm2 for each member. 12 kN/m 4 m 10 kN 2 m Probs. 16-5/6
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tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffine...
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300 105) mm,A 1...
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300 105) mm,A 10(10) mm2 for each member. 16-6. Determine the support reactions at the fixed supports D and . Take E-200 GPa,1 300 (10) mm, A 10(10) mm2 for each member. 12 kN/m 2 m 4 m 12 2 m Probs. 16-5/6
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300...
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...
Example 16.1 Determine the loadings at the joints of the 2-member frame as shown. Take for...
Example 16.1 Determine the loadings at the joints of the 2-member frame as shown. Take for both members: E-200 GPa I180(108) mm 6 m 20 kN 6 m Q. 3 (a) Determine the stiffness matrix of the 2-member frame as showil. Takefor both members: E = 200 GPa, 1-180(106) mm", A = 4000 mm (10 Marks) トーーーー6m_ 26 mm
Using the stiffness method, Calculate the stiffness matrix of the frame and show all displacements and reactions at node #2. Assume that all joints are fixed. Calculate the all bending moments and sho...
Using the stiffness method, Calculate the stiffness matrix of
the frame and show all displacements and reactions at node #2.
Assume that all joints are fixed.
Calculate the all bending moments and show in a diagram.
E=200GPa, I=300(106) & A=10(103)
24 kN/m 4m 8m 20 kN 4m
24 kN/m 4m 8m 20 kN 4m
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...
Week 7. Question 1: Use the stiffness method to determine the horizontal and vertical displacements at...
Week 7. Question 1: Use the stiffness method to determine the horizontal and vertical displacements at joint A. For all members, E-206.8 GPa and A - 1290 mm? Take a - 8 mandb-6.1 m B 2 انها 160 kN Solve the problem by following these steps Part 1) Calculate the stiffness matrix of each member in the global coordinate system. Check kna (the value at the second column and second row) in each member stiffness matrix a) Member 1: ky...
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....
The frame shown below is fixed at A and C, and is supported by a roller...
The frame shown below is fixed at A and C, and is supported by a roller at B. Use the numbering shown for the members and joints and determine the support reactions at all supports of the frame using the Stiffness Method. The 10 kN force is applied at the middle of the beam, and the 12 kN/m load is uniformly distributed on the column Take E = 200 GPa, 1 = 300(109) mm+ and A = 10(10-) mm2 for...
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...
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...
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300 105) mm,A 10(10) mm2 for each member. 16-6. Determine the support reactions at the fixed supports D and . Take E-200 GPa,1 300 (10) mm, A 10(10) mm2 for each member. 12 kN/m 2 m 4 m 12 2 m Probs. 16-5/6
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300...
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...
Example 16.1 Determine the loadings at the joints of the 2-member frame as shown. Take for both members: E-200 GPa I180(108) mm 6 m 20 kN 6 m Q. 3 (a) Determine the stiffness matrix of the 2-member frame as showil. Takefor both members: E = 200 GPa, 1-180(106) mm", A = 4000 mm (10 Marks) トーーーー6m_ 26 mm
Using the stiffness method, Calculate the stiffness matrix of
the frame and show all displacements and reactions at node #2.
Assume that all joints are fixed.
Calculate the all bending moments and show in a diagram.
E=200GPa, I=300(106) & A=10(103)
24 kN/m 4m 8m 20 kN 4m
24 kN/m 4m 8m 20 kN 4m
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...
Week 7. Question 1: Use the stiffness method to determine the horizontal and vertical displacements at joint A. For all members, E-206.8 GPa and A - 1290 mm? Take a - 8 mandb-6.1 m B 2 انها 160 kN Solve the problem by following these steps Part 1) Calculate the stiffness matrix of each member in the global coordinate system. Check kna (the value at the second column and second row) in each member stiffness matrix a) Member 1: ky...
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....
The frame shown below is fixed at A and C, and is supported by a roller at B. Use the numbering shown for the members and joints and determine the support reactions at all supports of the frame using the Stiffness Method. The 10 kN force is applied at the middle of the beam, and the 12 kN/m load is uniformly distributed on the column Take E = 200 GPa, 1 = 300(109) mm+ and A = 10(10-) mm2 for...
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...
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...
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