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i need help with c and d but explain why Question 1 (10 marks). Assembly A model consists of two 1D trusses with dimens...
For the plane bar trusses shown in Figure 2. All bar elements have E= 210GPa and A-4.0 x 10-4 m2....
For the plane bar trusses shown in Figure 2. All bar elements have E= 210GPa and A-4.0 x 10-4 m2. Note: 1GPa=UPKN/m? 3 m 45° IO KN 3 m 20 kN FIG. 3: Plane trusses Determine: element 1 stiffness matrix element 2 stiffness matrix, element 3 stiffness matrix global stiffness matrix [K], global balance equation, boundary conditions, the horizontal displacement of node1 the vertical displacement of node 1 the horizontal reaction force at node 3, the vertical reaction force at...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in X-direction); Py none (in Y-direction); E 30,000 ksi; A 0.2 square inches. The nodal coordinates, the earth-quake displacement/settlement, and members' connectivity information are given aS Applied Load! Earth-Quake MEMBER #1 NODE # X node-i node-j 120.00" 160.00"| 80.00"| Px=-10 Kips none Py- none 120.00" 160.00"0.00"none 120.00"0.00" 0.00" none 0.00" 0.00"0.00" none 0.00" 0.00" 80.00" none none 2 none 4 4 none 4 +2.00" (in...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the ele...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the element stiffness matrix in global axis system [KG] of the members and assembled them to generate the overall stiffness matrix [K of the truss. Modify the stiffness matrix [K] in order to incorporate boundary conditions following the elimination technique of rows and columns. Take E 200 GPa...
1. (60%) For the truss system shown below (a) (12%) Determine the element stiffness matrix w.r.t....
1. (60%) For the truss system shown below (a) (12%) Determine the element stiffness matrix w.r.t. the global coordinate system for all elements. (b) (10%) Determine the global stiffness matrix, [K]. (c) (5%) List all the boundary conditions. (d) (33%) Determine the internal force, elongation, stress, and strain for each element. Indicate whether it is under tension or compression. My LLLLLLLL 1 0 1-2=45° \ 30° 30° / 14116 141 16 12 2-3 = 30 3 1-4=300 Join But 45=225...
Element 1 is a steel bar that has a circular cross-section with a radius of 30...
Element 1 is a steel bar that has a circular cross-section with a radius of 30 mm. Element 2 is an aluminum bar that has a circular cross-section with a radius of 50 mm. Element 3 is a steel bar that has a circular cross- section with a radius of 60 mm. Assume for steel, the moduļus, E, is 2.0E11 Pa, and the density, p, is 7800 kg/m3. Assume for aluminum, E-7.0E10 Pa, and p-2700 kg/m3. The rigid, massless rod...
Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below...
Finite element method
Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below. It is important that the displacement of the slider is accurately known for a given force, F. To find the relation between displacement and F, it was decided to use FE method. Node 1 is fully constrained, node 2 is free to rotate and translate along the horizontal, and node 3 is only free to rotate. (a) Select the appropriate element types for...
need to solve the mathematical model to prove that we can get the equations i Q1...
need to solve the mathematical model to prove
that we can get the equations i Q1 a methematically
QI. A vertical pile is used to transfer the vertical load from the soft ground surface to the rock surface. It is assumed that the stiffness of the rock is sufficient to prevent any vertical displacement so that the lower edge of the rod may be considered as fixed. The soft ground acts on the pile along its length with a force...
Question I.5 Figure 1.5 shows a frame with loads at A and D. Select the closest...
Question I.5 Figure 1.5 shows a frame with loads at A and D. Select the closest value for the magnitude of the total reaction at B. Assume the weight of the frame is zero. 40 kN VE 96.2 kN (a) (Ь -40 kN 5 m (c) -87.5 kN 30 kN (d) 57 kN 4m ao 1 m (e) 50 kN Figure L.5 Low mass frame Question I.6 In the shear and bending moment equations for beams, which of the following...
Hi! I need help with this college level differential equations question. Please show all work and...
hi! I need help with this
college level differential equations question. Please show all work
and thank you.
3. We will next use matrix exponentials to find a fundamental matrix for the given system of DEs, (t) = P3(t) , P= (a) Letỉ(t) Ty(t), where Ț s a 2 2 constant matrix. Then, the system becomes = Dy, where D-T-1 PT. Find matrices T and D, such that D is a diagonal matrix. (Note that D and T are complex...
PLEASE HELP ME INPUT THIS INTO MATLAB, this is solutions manual for DESIGN of MACHINERY 5th...
PLEASE HELP ME INPUT THIS INTO MATLAB, this is
solutions manual for DESIGN of MACHINERY 5th Edition number
11-12
PROBLEM 11-12 Statement: Figure P11-5b shows a fourbar linkage and its dimensions in meters. The steel crank, coupler, and rocker have uniform cross sections of 60 mm diameter. In the instantaneous position shown, the crank 0,4 has a = -10 rad/sec and a = 10 rad/sec2. There is a honizontal force at P of F = 500 N. Find all pin...
For the plane bar trusses shown in Figure 2. All bar elements have E= 210GPa and A-4.0 x 10-4 m2. Note: 1GPa=UPKN/m? 3 m 45° IO KN 3 m 20 kN FIG. 3: Plane trusses Determine: element 1 stiffness matrix element 2 stiffness matrix, element 3 stiffness matrix global stiffness matrix [K], global balance equation, boundary conditions, the horizontal displacement of node1 the vertical displacement of node 1 the horizontal reaction force at node 3, the vertical reaction force at...
For the 3-D indeterminate (4-member) TRUSS structure shown in Figure 2A. Given that Px 10K (in X-direction); Py none (in Y-direction); E 30,000 ksi; A 0.2 square inches. The nodal coordinates, the earth-quake displacement/settlement, and members' connectivity information are given aS Applied Load! Earth-Quake MEMBER #1 NODE # X node-i node-j 120.00" 160.00"| 80.00"| Px=-10 Kips none Py- none 120.00" 160.00"0.00"none 120.00"0.00" 0.00" none 0.00" 0.00"0.00" none 0.00" 0.00" 80.00" none none 2 none 4 4 none 4 +2.00" (in...
Question 1: For the plane (2D) truss shown below, evaluate the transformation matrix [T] and the stiffness matrix in the local axis system [KL] of all elements. Use these matrices to evaluate the element stiffness matrix in global axis system [KG] of the members and assembled them to generate the overall stiffness matrix [K of the truss. Modify the stiffness matrix [K] in order to incorporate boundary conditions following the elimination technique of rows and columns. Take E 200 GPa...
1. (60%) For the truss system shown below (a) (12%) Determine the element stiffness matrix w.r.t. the global coordinate system for all elements. (b) (10%) Determine the global stiffness matrix, [K]. (c) (5%) List all the boundary conditions. (d) (33%) Determine the internal force, elongation, stress, and strain for each element. Indicate whether it is under tension or compression. My LLLLLLLL 1 0 1-2=45° \ 30° 30° / 14116 141 16 12 2-3 = 30 3 1-4=300 Join But 45=225...
Element 1 is a steel bar that has a circular cross-section with a radius of 30 mm. Element 2 is an aluminum bar that has a circular cross-section with a radius of 50 mm. Element 3 is a steel bar that has a circular cross- section with a radius of 60 mm. Assume for steel, the moduļus, E, is 2.0E11 Pa, and the density, p, is 7800 kg/m3. Assume for aluminum, E-7.0E10 Pa, and p-2700 kg/m3. The rigid, massless rod...
Finite element method
Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below. It is important that the displacement of the slider is accurately known for a given force, F. To find the relation between displacement and F, it was decided to use FE method. Node 1 is fully constrained, node 2 is free to rotate and translate along the horizontal, and node 3 is only free to rotate. (a) Select the appropriate element types for...
need to solve the mathematical model to prove
that we can get the equations i Q1 a methematically
QI. A vertical pile is used to transfer the vertical load from the soft ground surface to the rock surface. It is assumed that the stiffness of the rock is sufficient to prevent any vertical displacement so that the lower edge of the rod may be considered as fixed. The soft ground acts on the pile along its length with a force...
Question I.5 Figure 1.5 shows a frame with loads at A and D. Select the closest value for the magnitude of the total reaction at B. Assume the weight of the frame is zero. 40 kN VE 96.2 kN (a) (Ь -40 kN 5 m (c) -87.5 kN 30 kN (d) 57 kN 4m ao 1 m (e) 50 kN Figure L.5 Low mass frame Question I.6 In the shear and bending moment equations for beams, which of the following...
hi! I need help with this
college level differential equations question. Please show all work
and thank you.
3. We will next use matrix exponentials to find a fundamental matrix for the given system of DEs, (t) = P3(t) , P= (a) Letỉ(t) Ty(t), where Ț s a 2 2 constant matrix. Then, the system becomes = Dy, where D-T-1 PT. Find matrices T and D, such that D is a diagonal matrix. (Note that D and T are complex...
PLEASE HELP ME INPUT THIS INTO MATLAB, this is
solutions manual for DESIGN of MACHINERY 5th Edition number
11-12
PROBLEM 11-12 Statement: Figure P11-5b shows a fourbar linkage and its dimensions in meters. The steel crank, coupler, and rocker have uniform cross sections of 60 mm diameter. In the instantaneous position shown, the crank 0,4 has a = -10 rad/sec and a = 10 rad/sec2. There is a honizontal force at P of F = 500 N. Find all pin...
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