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Exercise 1 The structure in the figure is composed of two beams of length . The...
Consider the two-beam system below. The beams are pin jointed at B and simply supported at...
Consider the two-beam system below. The beams are pin jointed at B and simply supported at their other ends at the base of the system). A spring of stiffness, k, connects the two beams to prevent the system collapsing. The unloaded length of the spring is h/2. A load of magnitude Pis applied at point B. } a. Using the method of virtual work, find the value of that keeps the system in equilibrium with the given geometry shown in...
Figure 1 shows a system comprising a bar with mass m=12 kg and the length of...
Figure 1 shows a system comprising a bar with mass m=12 kg and
the length of the bar L=2 m, two springs with stiffness k_t=1000
N-m/rad and k=2000 N/m, one damper with damping coefficient c=50
N-s/m and two additive masses at the end of the bar, where each
mass (M) is equal to 50 kg. The rotation about the hinge A,
measured with respect to the static equilibrium position of the
system is θ(t). The system is excited by force...
EXERCISE 2 The following system is composed by two bodies of mass m, and m2 and five identical strings of stiffness k....
EXERCISE 2 The following system is composed by two bodies of mass m, and m2 and five identical strings of stiffness k. Friction and any other dissipative terms are negligible. k Draw the free body diagrams for the two bodies. a) | y1 |F b) Write the equation of motion in matrix form, expressing the content of each matrix/vector m1 c) Calculate the natural frequencies of the system, knowing that m1 1 kg, m2 2 kg and k = 1000...
A two-member beam structure is given in the figure. The load, P, is set to be...
A two-member beam structure is given in the figure. The load, P, is set to be 1000 N. Find the displacements at node 1 in terms of the global coordinate system. The sectional areas of Member 1 and Member 2 are 100 mm- and 144 mm², respectively and their moment of inertias are 833 mm+ and 1728 mm4. The Young's modulus is given as E=200 GPa Additional Question: for those MAE 540 Students: Find the displacements and the bending stress...
1) Two parallel beams of light are brought together on a surface. Each beam has wave length h-500...
1) Two parallel beams of light are brought together on a surface. Each beam has wave length h-500 nm and intensity 1 W/m at the surface. What is the resultant intensity for each of the following path lengths or phase differences between the beams? Phase or path length difference Intensity (W/m) 0 radians (phase) T/2 radians (phase) 60 degrees (phase) 3π radians (phase) 300 nm (path length) 1000 nm (path length) 5.5 λ (path length) 2) A wave of wavelength...
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...
The following figure 1(a) shows a part of a reinforced concrete building in a school. The...
The following figure 1(a) shows a part of a reinforced concrete building in a school. The structure consists of precast concrete hollow slabs that rests on the 10.8m long two reinforced concrete beams. The beams are supported on reinforced concrete columns. It is given that, on the top surface of the hollow slab, there will be a concrete screed with 50 mm thickness (assume density of concrete screed is 25 kN/m). In addition, there will be tiles that weigh 0.05...
Consider the two-beam system below. The beams are pin jointed at B and simply supported at their other ends at the base of the system). A spring of stiffness, k, connects the two beams to prevent the system collapsing. The unloaded length of the spring is h/2. A load of magnitude Pis applied at point B. } a. Using the method of virtual work, find the value of that keeps the system in equilibrium with the given geometry shown in...
Figure 1 shows a system comprising a bar with mass m=12 kg and
the length of the bar L=2 m, two springs with stiffness k_t=1000
N-m/rad and k=2000 N/m, one damper with damping coefficient c=50
N-s/m and two additive masses at the end of the bar, where each
mass (M) is equal to 50 kg. The rotation about the hinge A,
measured with respect to the static equilibrium position of the
system is θ(t). The system is excited by force...
EXERCISE 2 The following system is composed by two bodies of mass m, and m2 and five identical strings of stiffness k. Friction and any other dissipative terms are negligible. k Draw the free body diagrams for the two bodies. a) | y1 |F b) Write the equation of motion in matrix form, expressing the content of each matrix/vector m1 c) Calculate the natural frequencies of the system, knowing that m1 1 kg, m2 2 kg and k = 1000...
A two-member beam structure is given in the figure. The load, P, is set to be 1000 N. Find the displacements at node 1 in terms of the global coordinate system. The sectional areas of Member 1 and Member 2 are 100 mm- and 144 mm², respectively and their moment of inertias are 833 mm+ and 1728 mm4. The Young's modulus is given as E=200 GPa Additional Question: for those MAE 540 Students: Find the displacements and the bending stress...
1) Two parallel beams of light are brought together on a surface. Each beam has wave length h-500 nm and intensity 1 W/m at the surface. What is the resultant intensity for each of the following path lengths or phase differences between the beams? Phase or path length difference Intensity (W/m) 0 radians (phase) T/2 radians (phase) 60 degrees (phase) 3π radians (phase) 300 nm (path length) 1000 nm (path length) 5.5 λ (path length) 2) A wave of wavelength...
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...
The following figure 1(a) shows a part of a reinforced concrete building in a school. The structure consists of precast concrete hollow slabs that rests on the 10.8m long two reinforced concrete beams. The beams are supported on reinforced concrete columns. It is given that, on the top surface of the hollow slab, there will be a concrete screed with 50 mm thickness (assume density of concrete screed is 25 kN/m). In addition, there will be tiles that weigh 0.05...
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