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A rigid beam CBDA is hinged at A and supported by two springs at C and...
10. A hinged rigid bar of length/ is connected by two springs of stiffnesses k1 an and is subjected to a force F as...
10. A hinged rigid bar of length/ is connected by two springs of stiffnesses k1 an and is subjected to a force F as shown in the figure. Assuming that thean of the displacement of the bar is small (sin θ find the equival system that relates the applied force F at Point D, t d k2 lent spring constant of th o the resulting displacement x.
10. A hinged rigid bar of length/ is connected by two springs of...
4. A rigid square plate of side 2a is supported on four identical coil springs each...
4. A rigid square plate of side 2a is supported on four identical coil springs each of stiffness k at the corners A, B, C, D, as shown in Figure 4. A vertical force P is now applied at a point with the coordinates (x, y). Find the forces in the four springs as functions of x and y. РТУ, > ? Um Figure 4
A rigid beam AFBC in Fig.3 is supported by a hinged joint at A and connected to a vertical post B...
A rigid beam AFBC in Fig.3 is supported by a hinged joint at A and connected to a vertical post BD by a hinged connection at B. Rigid beam AFBC and vertical post cross-sectional dimension of 10mmx250mm and 15mmx200mm, respectively. Two concentrated loads Pi and P2 act on the rigid beam at point F and C, respectively. Details at support A and connection B are also shown in the figure. Compute (a) normal stress in vertical post BD (state whether...
A hinged rigid bar is connected by two springs of stiffnesses kı and k2 and is subjected to a for...
A hinged rigid bar is connected by two springs of stiffnesses kı and k2 and is subjected to a force F applied at 'D' as shown in the figure. Assuming that the angular displacement of the bar is small (sin θ-6), find the equivalent spring constant of the system that relates the applied force F to the resulting displacement x. 1. ki
A hinged rigid bar is connected by two springs of stiffnesses kı and k2 and is subjected to...
Three springs are connected according to the figure below, also showing the applied external forc...
Three springs are connected according to the figure below, also showing the applied external force P. The spring constants are: k5k, k2 k and k3 2k. 4a 2 2 3a rigid beam Determine 1.1 the system stiffness equation with boundary conditions 1.2 the nodes displacement field 1.3 the nodal forces field (12)
Three springs are connected according to the figure below, also showing the applied external force P. The spring constants are: k5k, k2 k and k3 2k. 4a 2...
A rigid beam ABCD is supported by a pin at B and two cables located at...
A rigid beam ABCD is supported by a pin at B and two cables located at A and C. The cables have a 30 mm diameter and are made of steel with yield strength of 800 MPa and elastic modulus of 200 GPa. The beam is designed to resist a vertical load P applied at D equal to 200 kN. a) Find the forces developed in each cable b) Find the corresponding vertical displacement at point where the load is...
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...
A rigid beam BCD is supported on a roller support at C (4m from B) and has two bars AB and DE attached at each end
A rigid beam BCD is supported on a roller support at C (4m from B) and has two bars AB and DE attached at each end. The bars can carry either tension or compressive forces. The rigid beam carries a UDL of I kN/m across BC and a point load of P at D as shown in the figure above. The length of the two bars is 3000 mm. The elastic modulus of both bars is 200 GPa and the...
The frame shown is fixed supported at A and is supported by elastic springs at C in the horizonta...
The frame shown is fixed supported at A and is supported by
elastic springs at C in the horizontal and vertical directions. The
frame has constant EI = 50,000 kN-m2. The stiffness of the
horizontal spring is kh = 10,000 kN/m and that of the vertical
spring is kv = 15,000 kN/m.
(a) Take the moment at A and the horizontal spring at C as the
redundant reactions and write
the compatibility equations in matrix form.
(b) Solve the equations...
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...
10. A hinged rigid bar of length/ is connected by two springs of stiffnesses k1 an and is subjected to a force F as shown in the figure. Assuming that thean of the displacement of the bar is small (sin θ find the equival system that relates the applied force F at Point D, t d k2 lent spring constant of th o the resulting displacement x.
10. A hinged rigid bar of length/ is connected by two springs of...
4. A rigid square plate of side 2a is supported on four identical coil springs each of stiffness k at the corners A, B, C, D, as shown in Figure 4. A vertical force P is now applied at a point with the coordinates (x, y). Find the forces in the four springs as functions of x and y. РТУ, > ? Um Figure 4
A rigid beam AFBC in Fig.3 is supported by a hinged joint at A and connected to a vertical post BD by a hinged connection at B. Rigid beam AFBC and vertical post cross-sectional dimension of 10mmx250mm and 15mmx200mm, respectively. Two concentrated loads Pi and P2 act on the rigid beam at point F and C, respectively. Details at support A and connection B are also shown in the figure. Compute (a) normal stress in vertical post BD (state whether...
A hinged rigid bar is connected by two springs of stiffnesses kı and k2 and is subjected to a force F applied at 'D' as shown in the figure. Assuming that the angular displacement of the bar is small (sin θ-6), find the equivalent spring constant of the system that relates the applied force F to the resulting displacement x. 1. ki
A hinged rigid bar is connected by two springs of stiffnesses kı and k2 and is subjected to...
Three springs are connected according to the figure below, also showing the applied external force P. The spring constants are: k5k, k2 k and k3 2k. 4a 2 2 3a rigid beam Determine 1.1 the system stiffness equation with boundary conditions 1.2 the nodes displacement field 1.3 the nodal forces field (12)
Three springs are connected according to the figure below, also showing the applied external force P. The spring constants are: k5k, k2 k and k3 2k. 4a 2...
A rigid beam ABCD is supported by a pin at B and two cables located at A and C. The cables have a 30 mm diameter and are made of steel with yield strength of 800 MPa and elastic modulus of 200 GPa. The beam is designed to resist a vertical load P applied at D equal to 200 kN. a) Find the forces developed in each cable b) Find the corresponding vertical displacement at point where the load is...
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...
The frame shown is fixed supported at A and is supported by
elastic springs at C in the horizontal and vertical directions. The
frame has constant EI = 50,000 kN-m2. The stiffness of the
horizontal spring is kh = 10,000 kN/m and that of the vertical
spring is kv = 15,000 kN/m.
(a) Take the moment at A and the horizontal spring at C as the
redundant reactions and write
the compatibility equations in matrix form.
(b) Solve the equations...
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...
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