![[3] For the spring shown in Figure 3, the force-displacement relationship is given by Fspring = k185 + k203 + k38 where 8 is](http://img.homeworklib.com/questions/3a38b2c0-adf4-11eb-9221-17291ae3f01a.png?x-oss-process=image/resize,w_560)
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[3] For the spring shown in Figure 3, the force-displacement relationship is given by Fspring =...
(g) The relationship of the applied force F and the displacement x of a spring has...
(g) The relationship of the applied force F and the displacement x of a spring has the gen eral form F = kx, where the constant k is called the spring constant and is a measure of the "stiffness" of the spring. Notice that this equation has the form of a straight line. Find the value of the spring constant k of the spring used in determining the experi- mental data plotted in the Fig. 1.6 graph. (Note: Because k...
In the graph the force versus displacement of a spring (shown in a separate figure attached...
In the graph the force versus displacement of a spring (shown in a separate figure attached to a mass) is given. The x-axis range is 12 cm. The y-axis range is :Fs, where Fs = 140 N. How much work does the spring do on the block (the mass "m") when the block moves from x; = 6 cm to-12 cm? Your answer should be in J, but enter only the numerical part in the box. 1.5 1 0 .5...
In mechanical system, as shown in Figure 1, the resistance force, F of spring can be related to t...
In mechanical system, as shown in Figure 1, the resistance force, F of spring can be related to the deflection, d by the following equation F(kd+ kyda). (1) where k, and k are the stiffness of the nonlinear spring. According to the law of conservation of energy, the Eq. (1) can be stated as 0 2sek h(2) kd-mgd-mg Find the roots of Eq. (2) by Newton-Raphson method, value of d, with the values of parameters: k, 40 kg/s, k 0.040...
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...
Consider the displacement of the spring shown in the following figure: 00000 +A The displacement x...
Consider the displacement of the spring shown in the following figure: 00000 +A The displacement x is given by: x = A cos (wt) Where . x is the displacement at a given time t • A is the maximum displacement w is the angular frequency, which is depended in the mass attached to the spring as well as to the spring constant and t stands for the time . Compute the displacement of x for the time intervals starting...
2. Consider the system shown in the figure below, comprised of the same motor, steel beam,...
2. Consider the system shown in the figure below, comprised of the same motor, steel beam, steel cable and crate All assumptions and properties are the same with one exception; the cable is no longer considered as rigid Cable properties: length = 4 m, diameter = 0.007 m, E = 207 GPa, Calculate the equivalent stiffness of the cable, in units of N/m. (See table 4.1.1 in your textbook) Draw an equivalent system diagram where the beam and cable each...
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.
A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below
Part A: 10 points each (Questions 1-4) 1. A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below. The amplitude or maximum displacement Xmax is 5m. Calculatea) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters and "t"...
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...
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...
(g) The relationship of the applied force F and the displacement x of a spring has the gen eral form F = kx, where the constant k is called the spring constant and is a measure of the "stiffness" of the spring. Notice that this equation has the form of a straight line. Find the value of the spring constant k of the spring used in determining the experi- mental data plotted in the Fig. 1.6 graph. (Note: Because k...
In the graph the force versus displacement of a spring (shown in a separate figure attached to a mass) is given. The x-axis range is 12 cm. The y-axis range is :Fs, where Fs = 140 N. How much work does the spring do on the block (the mass "m") when the block moves from x; = 6 cm to-12 cm? Your answer should be in J, but enter only the numerical part in the box. 1.5 1 0 .5...
In mechanical system, as shown in Figure 1, the resistance force, F of spring can be related to the deflection, d by the following equation F(kd+ kyda). (1) where k, and k are the stiffness of the nonlinear spring. According to the law of conservation of energy, the Eq. (1) can be stated as 0 2sek h(2) kd-mgd-mg Find the roots of Eq. (2) by Newton-Raphson method, value of d, with the values of parameters: k, 40 kg/s, k 0.040...
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...
Consider the displacement of the spring shown in the following figure: 00000 +A The displacement x is given by: x = A cos (wt) Where . x is the displacement at a given time t • A is the maximum displacement w is the angular frequency, which is depended in the mass attached to the spring as well as to the spring constant and t stands for the time . Compute the displacement of x for the time intervals starting...
2. Consider the system shown in the figure below, comprised of the same motor, steel beam, steel cable and crate All assumptions and properties are the same with one exception; the cable is no longer considered as rigid Cable properties: length = 4 m, diameter = 0.007 m, E = 207 GPa, Calculate the equivalent stiffness of the cable, in units of N/m. (See table 4.1.1 in your textbook) Draw an equivalent system diagram where the beam and cable each...
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...
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...
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