Which type of stress will not result in permanent deformation after the load is removed?

The choice of allowable stress is correct because it represents the maximum stress that a material can withstand without permanent deformation occurring. Allowable stress is typically determined through safety factors and design criteria, which ensure that structures and materials are used within safe limits to avoid any permanent changes to their shape or integrity under normal operating conditions.

In contrast, ultimate stress refers to the maximum stress a material can withstand before it fails, which may result in breaking or permanent deformation. Compressive and tensile stresses are types of forces that can lead to permanent deformation if they exceed the yield strength of the material. Allowable stress is specifically defined to ensure that loads stay within safe limits, thus avoiding any residual deformation once the loads are removed.