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Question 1 A plane frame is loaded as shown in the figure below. The global coordinate axes are shown in the figure...
Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure P5-4, determine (1) the nodal displacements and rotation at node 4, (2) the reactions, and (3) the fo...
Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure P5-4, determine (1) the nodal displacements and rotation at node 4, (2) the reactions, and (3) the forces in each element. Then check equilibrium at node 4 Finally, draw the shear force and bending moment diagrams for each element. Let E 30x 103 ksi, A 8 in2, and I 800 in.4 for all elements. 20 kip 25 ft 25 ft 40 ft Figure P5-4...
For the rigid frame shown in figures, determine (1) the nodal displacements and rotations of the...
For the rigid frame shown in figures, determine (1) the nodal displacements and rotations of the nodes, (2) the reactions, and (3) the forces in each element. 20 ft 5000 30x 10p A-10 in 200 in (for elements 1 2 and 3) 20 ft 0 1 in 4-2 in
Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure...
Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure P5-4, determine (1) the nodal displacements and rotation at node 4, (2) the reactions, and (3) the forces in each element. Then check equilibrium at node 4. Finally, draw the shear force and bending moment diagrams for each element. LetE 30 x 103 ksi, A = 8 in,2 , and 1-800 in.4 for all elements. 20 kip 25 ft 25 ft- 40 ft 20...
matrix structural Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in....
matrix structural
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in. All areas are 2 in2 and E- 29 x 10° psi. Use the stiffness matrix method. 30000 All areas 2 in2 E-29x106 psi 21 ② 3 10 ft
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node...
The plane truss shown in Figure is composed of members having a square 15 mm ×...
The plane truss shown in Figure is composed of members having a
square 15 mm × 15 mm cross section and modulus of elasticity
E = 69 GPa.
a. Assemble the global stiffness matrix.
b. Compute the nodal displacements in the global coordinate
system for theloads shown.
c. Compute the axial stress in each element
3 kN 3 5 kN 2 1.5 m 4. 1.5 m
1. The frame supports a uniform distributed load of 400 lb/ft. Point A is a fixed...
1. The frame supports a uniform distributed load of 400 lb/ft.
Point A is a fixed support and C is a free end. For each member, E
= 29 x 103 ksi, I = 245 in4 , and area, A = 16 in2 .
(a) Calculate the horizontal displacement of point C by hand
(hint: use either moment-area theorems or virtual work)
(b) Calculate the vertical displacement of point C by hand
(hint: use either moment-area theorems or virtual work)...
The frame below has wind load and dead as shown. Use w(Dead) = 6 kip/ft and...
The frame below has wind load and dead as shown. Use w(Dead) = 6
kip/ft and w(Live) = 3 kip/ft, L = 30 ft and H = 15 ft. The beams
and columns have modulus of elasticity E of 29000 ksi and moment of
inertias I(beam) = 2000 in4 and I(column) = 800
in4. Similarly they have cross-sectional areas A(beam) =
20 in2 and A(column) = 25 in2. Consider that
the wind can act in both horizontal directions.
Determine:
The...
Statics Question. Please answer fast Problem 4: For the truss loaded as shown. Determine the forces...
Statics Question. Please answer fast
Problem 4: For the truss loaded as shown. Determine the forces in members EF, EG, and FG. State whether each of these members is in tension (T) or compression (C). You may use whichever method you would like to solve. H 1200 N 4 m A с E 4 m B D F 3 m 3 m 3 m Problem 5: For the frame loaded as shown, find all reactions from the pin supports at...
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...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure P5-4, determine (1) the nodal displacements and rotation at node 4, (2) the reactions, and (3) the forces in each element. Then check equilibrium at node 4 Finally, draw the shear force and bending moment diagrams for each element. Let E 30x 103 ksi, A 8 in2, and I 800 in.4 for all elements. 20 kip 25 ft 25 ft 40 ft Figure P5-4...
For the rigid frame shown in figures, determine (1) the nodal displacements and rotations of the nodes, (2) the reactions, and (3) the forces in each element. 20 ft 5000 30x 10p A-10 in 200 in (for elements 1 2 and 3) 20 ft 0 1 in 4-2 in
Solve all problems using the finite element stiffness method. For the rigid frame shown in Figure P5-4, determine (1) the nodal displacements and rotation at node 4, (2) the reactions, and (3) the forces in each element. Then check equilibrium at node 4. Finally, draw the shear force and bending moment diagrams for each element. LetE 30 x 103 ksi, A = 8 in,2 , and 1-800 in.4 for all elements. 20 kip 25 ft 25 ft- 40 ft 20...
matrix structural
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node 1 displaces down 0.6 in and node 4 displaces to the left 0.3 in. All areas are 2 in2 and E- 29 x 10° psi. Use the stiffness matrix method. 30000 All areas 2 in2 E-29x106 psi 21 ② 3 10 ft
Problem #1: Solve for nodal displacements, reactions, and member forces of the truss shown. The support at node...
The plane truss shown in Figure is composed of members having a
square 15 mm × 15 mm cross section and modulus of elasticity
E = 69 GPa.
a. Assemble the global stiffness matrix.
b. Compute the nodal displacements in the global coordinate
system for theloads shown.
c. Compute the axial stress in each element
3 kN 3 5 kN 2 1.5 m 4. 1.5 m
1. The frame supports a uniform distributed load of 400 lb/ft.
Point A is a fixed support and C is a free end. For each member, E
= 29 x 103 ksi, I = 245 in4 , and area, A = 16 in2 .
(a) Calculate the horizontal displacement of point C by hand
(hint: use either moment-area theorems or virtual work)
(b) Calculate the vertical displacement of point C by hand
(hint: use either moment-area theorems or virtual work)...
The frame below has wind load and dead as shown. Use w(Dead) = 6
kip/ft and w(Live) = 3 kip/ft, L = 30 ft and H = 15 ft. The beams
and columns have modulus of elasticity E of 29000 ksi and moment of
inertias I(beam) = 2000 in4 and I(column) = 800
in4. Similarly they have cross-sectional areas A(beam) =
20 in2 and A(column) = 25 in2. Consider that
the wind can act in both horizontal directions.
Determine:
The...
Statics Question. Please answer fast
Problem 4: For the truss loaded as shown. Determine the forces in members EF, EG, and FG. State whether each of these members is in tension (T) or compression (C). You may use whichever method you would like to solve. H 1200 N 4 m A с E 4 m B D F 3 m 3 m 3 m Problem 5: For the frame loaded as shown, find all reactions from the pin supports at...
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...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
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