Tutorial 1
September 15 & 17 2025
Exercise 1
The system consists of a mass m, a rigid, massless lever with length l and
two springs with stiffnesses k and kφ . Find the substitute stiffness krep for the
system on the right.
1
Exercise 2
An elastic structure consists of an elastic beam (length 6a, flexural rigidity EI).
a rigid lever (length 3a), and three springs with the same stiffness (k = k1 =
k2 = k3 ). At point A a force F is acting and causes a displacement x. Assume
small displacement so that linearity is valid. Determine the total stiffness ktot
with regards to point A.
2