Homework Answers
As
it is a determinate structure we cannot use stiffness method and
stiffness method can be used to find out the member forces for
indeterminate structures but actually this dress is determinate and
other method of sections or method joint can be applied so I am
going to use method of joints to solve this problem.
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Use stiffness method to find the axial force for all members
in the truss.
*Note: the...
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...
Part A) Determine the force in members CD of the truss, and state if the member...
Part A) Determine the force in members CD of the truss, and
state if the member is in tension or compression. Take P = 1680 lb
.
Part B) Determine the force in members HI of the truss, and
state if the member is in tension or compression. Take P = 1680 lb
.
Part C) Determine the force in members CJ of the truss, and
state if the member is in tension or compression. Take P = 1680 lb...
1. (a) Find all the zero-force members of the truss. (b) Determine the reactions at the...
1. (a) Find all the zero-force members of the truss. (b) Determine the reactions at the supports B and D. (c) Determine the force in element GC. Assume support B is a roller and D is a pin 10 kN 3m B & 4m
a. Specify the type of compound truss shown in Figure 2. Assume all members are pin...
a. Specify the type of compound truss shown in Figure 2. Assume all members are pin connected. The truss is pin supported at A and roller supported at F. Investigate the determinacy and stability of the truss Using the method of section, determine the force in member CD. State if the member is in b. c. tension or compression d. Using the method of joint, determine the force in members JK and JN. State if the members are in tension...
Use either the method of section or method of joints To calculate the axial force and its sense (Tension or compression...
Use either the method of section or method of joints To calculate the axial force and its sense (Tension or compression) In the members stated below for each of the Pin-joint-ed frames Shown in Figure below The support on point C is PIN SUPPORT The support on point K is ROLLER SUPPORT Calculation with Full Details 100 KN 0.5m 2m 7m
Estimate the redundant force in the truss member BC as shown in the following FIGURE. The...
Estimate the redundant force in the truss member BC as shown in the following FIGURE. The truss is subjected to a vertical load P as 50 kN. Members AB, AC, CD, and BD are 5 m long. The cross-sectional area of all members is constant. The support at A is the pin support and the support at B is the roller support. P = 50 kN Ан, B Av Ву
QUESTION 7 In the truss shown, all members are pin-ended. Determine the axial force in member...
QUESTION 7 In the truss shown, all members are pin-ended. Determine the axial force in member BC. Provide your answer in the space below. Given: a 13 m, b-5 m, P1 18 kN, P2 16 kN, P3-16 kN In your answer show exactly one decimal place and assume that tension is positive and compression is negative
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for...
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
Write the MATLAB code and use the function linsolve() to solve the system of linear equations. Thank you! l Truss A truss is a structure that typically consists of 1. All straight members 2. connected...
Write the MATLAB code and use the function linsolve() to solve
the system of linear equations.
Thank you!
l Truss A truss is a structure that typically consists of 1. All straight members 2. connected together with pin joints 3. connected only at the ends of the members 4. and all external forces (loads&reactions) must be applied only at the joints. The weights of the members may be neglected. The basic building block of a truss is a triangle. Large...
2. Use the Method of Joint, and determine the force in each member of the roof...
2. Use the Method of Joint, and determine the force in each member of the roof truss. State if the members are in tension or compression. Assume A is a pin and D is a roller support. (AB:-28.9kN; AE:14.4kN; BE:5.77kN; BC:-17.3kN; CE:-5.77KN; ED:20.2kN; CD:-40.4kN) 40 KN 20 KN 4 m D
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...
Part A) Determine the force in members CD of the truss, and
state if the member is in tension or compression. Take P = 1680 lb
.
Part B) Determine the force in members HI of the truss, and
state if the member is in tension or compression. Take P = 1680 lb
.
Part C) Determine the force in members CJ of the truss, and
state if the member is in tension or compression. Take P = 1680 lb...
1. (a) Find all the zero-force members of the truss. (b) Determine the reactions at the supports B and D. (c) Determine the force in element GC. Assume support B is a roller and D is a pin 10 kN 3m B & 4m
a. Specify the type of compound truss shown in Figure 2. Assume all members are pin connected. The truss is pin supported at A and roller supported at F. Investigate the determinacy and stability of the truss Using the method of section, determine the force in member CD. State if the member is in b. c. tension or compression d. Using the method of joint, determine the force in members JK and JN. State if the members are in tension...
Use either the method of section or method of joints To calculate the axial force and its sense (Tension or compression) In the members stated below for each of the Pin-joint-ed frames Shown in Figure below The support on point C is PIN SUPPORT The support on point K is ROLLER SUPPORT Calculation with Full Details 100 KN 0.5m 2m 7m
Estimate the redundant force in the truss member BC as shown in the following FIGURE. The truss is subjected to a vertical load P as 50 kN. Members AB, AC, CD, and BD are 5 m long. The cross-sectional area of all members is constant. The support at A is the pin support and the support at B is the roller support. P = 50 kN Ан, B Av Ву
QUESTION 7 In the truss shown, all members are pin-ended. Determine the axial force in member BC. Provide your answer in the space below. Given: a 13 m, b-5 m, P1 18 kN, P2 16 kN, P3-16 kN In your answer show exactly one decimal place and assume that tension is positive and compression is negative
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
Write the MATLAB code and use the function linsolve() to solve
the system of linear equations.
Thank you!
l Truss A truss is a structure that typically consists of 1. All straight members 2. connected together with pin joints 3. connected only at the ends of the members 4. and all external forces (loads&reactions) must be applied only at the joints. The weights of the members may be neglected. The basic building block of a truss is a triangle. Large...
2. Use the Method of Joint, and determine the force in each member of the roof truss. State if the members are in tension or compression. Assume A is a pin and D is a roller support. (AB:-28.9kN; AE:14.4kN; BE:5.77kN; BC:-17.3kN; CE:-5.77KN; ED:20.2kN; CD:-40.4kN) 40 KN 20 KN 4 m D
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