What is the moment at a hinge when solving an analysis problem?

In structural analysis, particularly when dealing with statically determinate structures, the moment at a hinge is considered to be zero. A hinge is specifically designed to allow rotation without resisting it, which means that it cannot transfer any moment from one connected structural member to another. The function of the hinge is to provide flexibility and accommodate any rotations that may occur due to applied loads or displacements.

By allowing rotation, hinges can effectively serve as points where structural elements can change angles and redistribute forces. This characteristic is crucial for ensuring that structures can respond appropriately to various load conditions without developing excessive internal stresses.

In contrast, maximum or minimum moments would relate to fixed supports or points of maximum loading rather than hinges, which inherently do not resist rotational forces. While loading conditions can influence the overall force distribution in a structure, the fundamental role of a hinge remains that it cannot carry any moment, thus maintaining a moment value of zero.