Final answer:
The support reactions at A and C can be determined by considering the flexibility and stiffness of the supports.
Step-by-step explanation:
The support reactions at A and C can be determined by considering the flexibility of the supports and their stiffness, k. In this case, we can use the principles of elasticity to find the support reactions.
When the supports at A and C are flexible, they will exert a force that is proportional to the displacement or compression of the support. This can be represented by a spring constant k, which relates the force to the displacement using Hooke's Law: F = kx, where F is the force, k is the spring constant, and x is the displacement.
Therefore, the support reactions at A and C will depend on the stiffness of the supports, k, and the displacement or compression of the supports under the applied loads.