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Review·Midterml (The Stiffness Method).

- For the spring assemblage with arbitrarily numbered nodes shown in figure,obtain

(a) the global stiffness matrix,

(b) the displacements of nodes 3 and 4, (c} the reaction forces at nodes 1and 2,

{d} the forces in each spring,and (e} the total potential energy

A force of 5000 lb is applied at node 4 in the x direction.The spring constants are given in the figure. Nodes 1and 2 are fixed.

.1.1 • IOOO lb/1n k: • 2000 lb/1n k, – JOOO lb/in

/.

-I p 2

0 5000 lb

- For the spring assemblage shown in figure,obtain

(a) the global stiffness matrix,

(b} the displacements of nodes 2-4, (c} the global nodal forces,and

{d} the localelement forces.

Node 1is fixed while node 5 is given a fixed,known displacement 6= 20.0 mm.The springconstants are all equal to k = 200 kN/m.