To determine the forces induced by combined axial and thermal stress loading in a statically indeterminate system.
When systems are subjected to thermal loads (changes in temperature), a statically indeterminate system can be solved by combining principles of statics (equilibrium equations) with a compatibility condition. The compatibility condition describes how displacements within the system must relate based on the system’s geometric constraints.
Part B - Change in length due to temperature
Calculate the change in length of the steel and aluminium due to the temperature change alone. Then, assuming that the load P is not applied, and the temperature increases from 60?F to 110?F, calculate the change in length of the steel and aluminium.
Part C - Calculate the load P required for a length change of 0.01 in
A 6061-T6 aluminium tube is used as a sleeve for a steel post (Tool L2), as shown. When not loaded, and at a temperature of 60?F, both the tube and post have a length of 24 in. The system is subjected to a load P and the temperature is increased to 110?F.
Assume that both the tube and post are rigidly connected to the rigid cap.
Determine the load P required to restrict the system’s length change to an increase of 0.01 in.