HW 1.5 (10 pts):
Problem 1: For the following problem, treat $k_1$, $k_2$, $k_3$, $F_3$, $F_4$ as knowns. You must
express EACH finding using the combination of $k_1$, $k_2$, $k_3$, $F_3$, $F_4$, not $u$, or $f$. (Results
having self-defined symbols are not accepted. Also assigning specific values to
those symbols is not accepted, for example letting $k_1$= 5.) You are required to use
the direct stiffness method.
In the spring assemblage systems below, find:
a. Global stiffness matrix [K].
b. Displacements of nodes 3 and 4 $u_3$, $u_4$.
c. Reaction forces at nodes 1 and 2 $F_1$, $F_2$.
d. Forces in springs 1 and 2 $f_1$, $f_2$.
1
$k_1$
$F_3$
$k_3$
$F_4$
$k_2$
3
4
2
x
Note: the vertical line (bar) cannot be tilted.
Requirement: 1. Show your clear thought procedure 2 Clear writing
