Question

For the spring system given in Figure 1, a. Assemble the global stiffness and force matrix. b. Partition the system and solve for the nodal displacements. c. Compute the reaction forces. $k_1 = k_6 = 100 \frac{N}{m}$ $k_2 = k_4 = 200 \frac{N}{m}$ $k_3 = k_5 = 300 \frac{N}{m}$ $F_2 = 200N$ $F_3 = 400N$ $F_4 = 600N$

          For the spring system given in Figure 1,
a. Assemble the global stiffness and force matrix.
b. Partition the system and solve for the nodal displacements.
c. Compute the reaction forces.
$k_1 = k_6 = 100 \frac{N}{m}$ $k_2 = k_4 = 200 \frac{N}{m}$ $k_3 = k_5 = 300 \frac{N}{m}$
$F_2 = 200N$ $F_3 = 400N$ $F_4 = 600N$

For the spring system given in Figure 1,
a. Assemble the global stiffness and force matrix.
b. Partition the system and solve for the nodal displacements.
c. Compute the reaction forces.
k1 = k6 = 100 (N)/(m) k2 = k4 = 200 (N)/(m) k3 = k5 = 300 (N)/(m)
F2 = 200N F3 = 400N F4 = 600N

Added by Lydia M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Paul Gabriel

Step 1

Assemble the global stiffness matrix: To assemble the global stiffness matrix, we need to consider the stiffness of each spring and the connectivity between the nodes. The global stiffness matrix for this system can be written as: [K] = [k1+k2+k4 -k2 -k4 Show more…

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For the spring system given in Figure 1: a. Assemble the global stiffness and force matrix. b. Partition the system and solve for the nodal displacements. c. Compute the reaction forces. N N N k = 100 k = 100 k = 100 k4 = 200 k = 200 k = 200 m m m F = 200 N F = 400 N F4 = 60 N 1 2 2 6 3 Fixed Fixed 4 Figure 1