![1. Find displacements at each node and forces in each element for the series of spring shown below. (20 points) 3 4 3 100 K k1 k4 u2 k3 из U4 k1 50 k/in k2- 20 k/in k3-40 k/in k4-50 k/in 2. For the following truss structure, all the members has the same elastic modulus E and cross section area A. (10 points) 2 4000 lb 10.000 lb 3 3 4 30 in. 30 in. 30 in Find the structural stiffness matrix [K] Write down the equation for calculating the unknown displacements, also indicate the DOFs of the unknown displacements such as U2. (No need to solve answers) Write down the equations for solving unknown forces, also indicate the DOFs of the solved reaction forces such as Fı. (No need to solve answers) 1. 2. 3.](http://img.homeworklib.com/questions/611d5470-12ab-11ec-b1ff-4f713fe908e0.png?x-oss-process=image/resize,w_560)
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1. Find displacements at each node and forces in each element for the series of spring...
4. Three spring structure. Node and element are indicated in the Figure. A force, f3-10K, is...
4. Three spring structure. Node and element are indicated in the Figure. A force, f3-10K, is loaded at node #3A11 the spring has same spring constant k. Node #1 is constrained in all directions. (20 pt) k1) k-3) F3 k2) a. Assemble the global stiffness and force matrix. b. Partition the system and solve for the nodal displacements, u2 and U3. C. Calculate the reaction forces at Node #1. 5. A spring system is designed as follows. Node and element...
matrix structural Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in....
matrix structural
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in. All areas are 2 in2 and E- 29 x 10° psi. Use the stiffness matrix method. 30000 All areas 2 in2 E-29x106 psi 21 ② 3 10 ft
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
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...
Please show work Answer shown below Problem 2: Consider the three-spring structure given below. It is...
Please show work
Answer shown below
Problem 2: Consider the three-spring structure given below. It is fixed at the far right end (node 4) and is subject to nodal forces as given below. из 144 lu 142 Pi Kj Ki P2 The element (spring) stiffnesses are: Ki- K2- 200 k/in and Ks-250 k/in The forces applied at the nodes are: P 150 k, P--50 k, Ps 150 k E.g. the stiffness a) Write the stiffness equilibrium equations for nodes 1,...
Use MAT:AB to code 650:231 M.E. Computational Analysis and Design Finally, give the member force by...
Use MAT:AB to code
650:231 M.E. Computational Analysis and Design Finally, give the member force by (see (8) in Project_2_Suppliment) PART A 15 Pts.] Consider the truss given by Fig. 2. The height of the truss is 3 ft. The cross sectional area and Young's modulus of each bar is a-I in, and E-30 Mpsi (106 lb/in2), respectively. The symbol # for the applied load indicates the unit of lb. The truss is supported by a pin at node 6...
i need help with c and d but explain why Question 1 (10 marks). Assembly A model consists of two 1D trusses with dimens...
i need help with c and d but explain why
Question 1 (10 marks). Assembly A model consists of two 1D trusses with dimensions as given in Figure 1. Element 1 runs angle, connecting parallel to the x-axis, connecting node 1 and 2. Element 2 is running at an node 1 and 3. Node 1 has an applied force in the negative y-direction. Node 1 can only in y-direction, while nodes 2 and 3 are fixed in both x and...
Learning Goal: To use the node-voltage method to solve circuits with branches containing only a voltage...
Learning Goal: To use the node-voltage method to solve circuits with branches containing only a voltage source. The node-voltage method is a general technique for solving circuits. Fundamentally, it involves writing KCL equations at essential nodes. When the circuit contains a dependent source, you must write a constraint equation for each dependent source, in addition to the KCL equations. When the circuit contains one or more voltage sources that are the only components in branches connecting two essential nodes, the...
help me with this. Im done with task 1 and on the way to do task...
help me with this. Im done with task 1 and on the way to do task
2. but I don't know how to do it. I attach 2 file function of rksys
and ode45 ( the first is rksys and second is ode 45) . thank for
your help
Consider the spring-mass damper that can be used to model many dynamic systems -- ----- ------- m Applying Newton's Second Law to a free-body diagram of the mass m yields the...
Please help! I need help finding and solving equations of equilibrium to find the max tension in ...
please help! I need help finding and solving equations of
equilibrium to find the max tension in the cables and the angle
that results in the maximum tension, I also have pictures below of
the work I have so far all I really need is equations for the 4
cable part and that's it but I put the whole assignment so you
could see thanks!
Tower Support System Challenge Challenge Scenario: Due to weather conditions, a major communication tower n...
4. Three spring structure. Node and element are indicated in the Figure. A force, f3-10K, is loaded at node #3A11 the spring has same spring constant k. Node #1 is constrained in all directions. (20 pt) k1) k-3) F3 k2) a. Assemble the global stiffness and force matrix. b. Partition the system and solve for the nodal displacements, u2 and U3. C. Calculate the reaction forces at Node #1. 5. A spring system is designed as follows. Node and element...
matrix structural
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in. All areas are 2 in2 and E- 29 x 10° psi. Use the stiffness matrix method. 30000 All areas 2 in2 E-29x106 psi 21 ② 3 10 ft
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
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...
Please show work
Answer shown below
Problem 2: Consider the three-spring structure given below. It is fixed at the far right end (node 4) and is subject to nodal forces as given below. из 144 lu 142 Pi Kj Ki P2 The element (spring) stiffnesses are: Ki- K2- 200 k/in and Ks-250 k/in The forces applied at the nodes are: P 150 k, P--50 k, Ps 150 k E.g. the stiffness a) Write the stiffness equilibrium equations for nodes 1,...
Use MAT:AB to code
650:231 M.E. Computational Analysis and Design Finally, give the member force by (see (8) in Project_2_Suppliment) PART A 15 Pts.] Consider the truss given by Fig. 2. The height of the truss is 3 ft. The cross sectional area and Young's modulus of each bar is a-I in, and E-30 Mpsi (106 lb/in2), respectively. The symbol # for the applied load indicates the unit of lb. The truss is supported by a pin at node 6...
i need help with c and d but explain why
Question 1 (10 marks). Assembly A model consists of two 1D trusses with dimensions as given in Figure 1. Element 1 runs angle, connecting parallel to the x-axis, connecting node 1 and 2. Element 2 is running at an node 1 and 3. Node 1 has an applied force in the negative y-direction. Node 1 can only in y-direction, while nodes 2 and 3 are fixed in both x and...
Learning Goal: To use the node-voltage method to solve circuits with branches containing only a voltage source. The node-voltage method is a general technique for solving circuits. Fundamentally, it involves writing KCL equations at essential nodes. When the circuit contains a dependent source, you must write a constraint equation for each dependent source, in addition to the KCL equations. When the circuit contains one or more voltage sources that are the only components in branches connecting two essential nodes, the...
help me with this. Im done with task 1 and on the way to do task
2. but I don't know how to do it. I attach 2 file function of rksys
and ode45 ( the first is rksys and second is ode 45) . thank for
your help
Consider the spring-mass damper that can be used to model many dynamic systems -- ----- ------- m Applying Newton's Second Law to a free-body diagram of the mass m yields the...
please help! I need help finding and solving equations of
equilibrium to find the max tension in the cables and the angle
that results in the maximum tension, I also have pictures below of
the work I have so far all I really need is equations for the 4
cable part and that's it but I put the whole assignment so you
could see thanks!
Tower Support System Challenge Challenge Scenario: Due to weather conditions, a major communication tower n...
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