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|Determine the displacements of nodes of the spring system shown below K=40 N/mm WW Кз 1...
Three rigid bodies (Nodes 2, 3, and 4) are connected by five springs as shown below....
Three rigid bodies (Nodes 2, 3, and 4) are connected by five
springs as shown below. Assume that the
bodies can only undergo translation in the horizontal direction.
Horizontal force P2=1000 N and
P4=1500 N is applied to Elements 2 and 4, respectively. The spring
constants in (N/mm) are given as:
k1=400, k2=500, k3=600, k4=100, and k5=300. Nodes 1 and 5 are
fixed. Determine the nodal
displacements and reaction forces at the walls.
Problem 1. (3 points) Three rigid bodies...
For the system shown below, (a) the global stiffness matrix (b)displacements of nodes 2 and 3...
For the system shown below, (a) the global stiffness
matrix (b)displacements of nodes 2 and 3 (c)the
reaction forces at nodes 1 and 4 (d)the force in the
members
EA TRATAMI 70-400 = 100 x 10 kN/m 0.28 ATT L ( EA k, 100 - 200 = 200 x 10 kN/m 0.1 L (4 EA k, 200.70 =140x10 kN/m 0.1 I (4.2 X tretiet 0.28 2 vyos Imool
1. For the spring assemblage shown below, determine the unknown displacements and the reaction forces (10...
1. For the spring assemblage shown below, determine the unknown displacements and the reaction forces (10 points). k = 8 in k = 10 lb lb kg = 5 1b ks = 10 in wat 10 lb 1b kg = 20 in lb k = 20 in
1. Find displacements at each node and forces in each element for the series of spring...
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...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended ...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended from springs with spring constants ki and k2, respectively. Assume that there is no damping in the system. a) Show that the displacements ai and r2 of the masses from their respective equilibrium positions satisfy the differential equations b) Use the above result to show that the spring-mass system satisfies the following fourth order differential equation and c) Find the general solution...
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...
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,...
Problem 4, (20%) For the case shown determine the displacements and the slopes at the nodes,...
Problem 4, (20%) For the case shown determine the displacements and the slopes at the nodes, the forces in each element, and the reactions. Also, draw the shear force and bending moment diagrams. 24 KN 4 m 4 m E = 70 GPa 1 = 2 x 10-4 m > k = 200 kN/m
For the spring assemblage shown in Figure 2-13, obtain (a) the global stiffness matrix, (b) the displacements of nodes 2-4, (c) the global nodal forces, and (d) the local element forces.
For the spring assemblage shown in Figure 2-13, obtain (a) the global stiffness matrix, (b) the displacements of nodes 2-4, (c) the global nodal forces, and (d) the local element forces. Node l is fixed while node 5 is given a fixed, known displacement δ= 20.0 mm. The spring constants are all equal to k = 200 kN/m.
Q.1. For the system shown in Figure 1, the spring constant = 200 N/m. a) Write...
Q.1. For the system shown in Figure 1, the spring constant = 200 N/m. a) Write the complete Energy Equation for the solution to the problem (all terms must be included) b) If the system is initially at rest and the weight and inertia of the pulley are neglected, determine the angular velocity of A after Block B has dropped 600 mm. c) Calculate the maximum displacement of block B when it is lowered slowly. (Use Work, Power, Energy Method)....
Three rigid bodies (Nodes 2, 3, and 4) are connected by five
springs as shown below. Assume that the
bodies can only undergo translation in the horizontal direction.
Horizontal force P2=1000 N and
P4=1500 N is applied to Elements 2 and 4, respectively. The spring
constants in (N/mm) are given as:
k1=400, k2=500, k3=600, k4=100, and k5=300. Nodes 1 and 5 are
fixed. Determine the nodal
displacements and reaction forces at the walls.
Problem 1. (3 points) Three rigid bodies...
For the system shown below, (a) the global stiffness
matrix (b)displacements of nodes 2 and 3 (c)the
reaction forces at nodes 1 and 4 (d)the force in the
members
EA TRATAMI 70-400 = 100 x 10 kN/m 0.28 ATT L ( EA k, 100 - 200 = 200 x 10 kN/m 0.1 L (4 EA k, 200.70 =140x10 kN/m 0.1 I (4.2 X tretiet 0.28 2 vyos Imool
1. For the spring assemblage shown below, determine the unknown displacements and the reaction forces (10 points). k = 8 in k = 10 lb lb kg = 5 1b ks = 10 in wat 10 lb 1b kg = 20 in lb k = 20 in
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...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended from springs with spring constants ki and k2, respectively. Assume that there is no damping in the system. a) Show that the displacements ai and r2 of the masses from their respective equilibrium positions satisfy the differential equations b) Use the above result to show that the spring-mass system satisfies the following fourth order differential equation and c) Find the general solution...
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...
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,...
Problem 4, (20%) For the case shown determine the displacements and the slopes at the nodes, the forces in each element, and the reactions. Also, draw the shear force and bending moment diagrams. 24 KN 4 m 4 m E = 70 GPa 1 = 2 x 10-4 m > k = 200 kN/m
Q.1. For the system shown in Figure 1, the spring constant = 200 N/m. a) Write the complete Energy Equation for the solution to the problem (all terms must be included) b) If the system is initially at rest and the weight and inertia of the pulley are neglected, determine the angular velocity of A after Block B has dropped 600 mm. c) Calculate the maximum displacement of block B when it is lowered slowly. (Use Work, Power, Energy Method)....
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