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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...
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)...
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...
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
Determine the horizontal displacement at A. Take E = 200 GPa. The moment of inertia of...
Determine the horizontal displacement at A. Take E = 200 GPa. The moment of inertia of each segment of the frame is indicated in the figure. Assume D is a pin support. Use the method of virtual work. Prob. 8-44 60 kN/m B 1pc = 300(10%) mm 8 m AB= 200(106) mm IcD = 200(10%) mm 6 m
Link BD is made of brass (E 105 GPa) and has a cross-sectional area of 240...
Link BD is made of brass (E 105 GPa) and has a cross-sectional area of 240 mm2. Link CE is made of aluminium (E 72 GPa) and has a cross-sectional area of 300 mm2. Knowing that they support rigid member ABC, determine the maximum force P that can be applied vertically at point A if the deflection of A is not to exceed 0.36 mm. (Round the final answer to two decimal places.) 995 mm A 150 mm E 225...
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...
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffnes...
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffness matrix, Ke. Then, calculate the reactions at both supports by using matrik stifness method. Assuming the elastic modulus of beam, E 200 GPa. 150 kN 3 5m 2 10 m 1 = 500 x 106 mm4 I = 250 x 106 mm 4 Rajah 3b(@)/Figure 3b() Given: Stiffness relations for a beam element 12 6 12 6 z12 12 6...
SAN4701 JAN/FE8 2017 QUESTION 1 1 is having a hinge support at 1 and a roller support at 2. (E - 200 GPa) for all the m...
SAN4701 JAN/FE8 2017 QUESTION 1 1 is having a hinge support at 1 and a roller support at 2. (E - 200 GPa) for all the members and the members 1, d 3 have their cross sectional areas as 4000 mm2, 4000 mm2 and 6000 mm2 The truss shown in Figure Assuming that E is constant respectively, use the matrix stiffness method to determine the following Number of degrees of freedom. a. (15) b. Structure stiffness matrıx. (10) c Member...
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...
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...
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)...
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...
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
Determine the horizontal displacement at A. Take E = 200 GPa. The moment of inertia of each segment of the frame is indicated in the figure. Assume D is a pin support. Use the method of virtual work. Prob. 8-44 60 kN/m B 1pc = 300(10%) mm 8 m AB= 200(106) mm IcD = 200(10%) mm 6 m
Link BD is made of brass (E 105 GPa) and has a cross-sectional area of 240 mm2. Link CE is made of aluminium (E 72 GPa) and has a cross-sectional area of 300 mm2. Knowing that they support rigid member ABC, determine the maximum force P that can be applied vertically at point A if the deflection of A is not to exceed 0.36 mm. (Round the final answer to two decimal places.) 995 mm A 150 mm E 225...
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...
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffness matrix, Ke. Then, calculate the reactions at both supports by using matrik stifness method. Assuming the elastic modulus of beam, E 200 GPa. 150 kN 3 5m 2 10 m 1 = 500 x 106 mm4 I = 250 x 106 mm 4 Rajah 3b(@)/Figure 3b() Given: Stiffness relations for a beam element 12 6 12 6 z12 12 6...
SAN4701 JAN/FE8 2017 QUESTION 1 1 is having a hinge support at 1 and a roller support at 2. (E - 200 GPa) for all the members and the members 1, d 3 have their cross sectional areas as 4000 mm2, 4000 mm2 and 6000 mm2 The truss shown in Figure Assuming that E is constant respectively, use the matrix stiffness method to determine the following Number of degrees of freedom. a. (15) b. Structure stiffness matrıx. (10) c Member...
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...
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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