Question

1. For the spring assemblage shown, (a) obtain the global stiffness matrix by direct superposition. (b) If nodes 1 and 5 are fixed and a force of P is applied at node 3, determine the nodal displacements. (c) Determine the reactions at the fixed nodes 1 and 5. (20 marks) k k k k 2 3 4 5 P Figure P2-3 2. For the five-spring assemblage shown in figure below, determine the displacements at nodes, the forces in each element and the reactions. Use the direct stiffness method. (20 marks) 500 kN/m 1 3 1 kN 1000 kN/m 3 500 kN/m 4 2 3 1 kN Figure P2-15

          1. For the spring assemblage shown, (a) obtain the global stiffness matrix by direct
superposition. (b) If nodes 1 and 5 are fixed and a force of P is applied at node 3,
determine the nodal displacements. (c) Determine the reactions at the fixed nodes 1 and
5. (20 marks)
k
k
k
k
2
3
4
5
P
Figure P2-3
2. For the five-spring assemblage shown in figure below, determine the displacements at
nodes, the forces in each element and the reactions. Use the direct stiffness method. (20
marks)
500 kN/m
1
3
1 kN
1000 kN/m
3
500 kN/m
4
2
3
1 kN
Figure P2-15

1. For the spring assemblage shown, (a) obtain the global stiffness matrix by direct
superposition. (b) If nodes 1 and 5 are fixed and a force of P is applied at node 3,
determine the nodal displacements. (c) Determine the reactions at the fixed nodes 1 and
5. (20 marks)
k
k
k
k
2
3
4
5
P
Figure P2-3
2. For the five-spring assemblage shown in figure below, determine the displacements at
nodes, the forces in each element and the reactions. Use the direct stiffness method. (20
marks)
500 kN/m
1
3
1 kN
1000 kN/m
3
500 kN/m
4
2
3
1 kN
Figure P2-15

Added by Sarah R.

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