In local shear failure, the development of plastic equilibrium is Full.

Explanation:
Local shear failure occurs when a section of a structural member, such as a beam or column, fails due to excessive shear forces. It is characterized by the formation of a plastic hinge, which is a localized region of the member that undergoes plastic deformation.

When a plastic hinge forms, the material in that region of the member starts to yield and undergoes permanent deformation. This plastic deformation allows the member to redistribute the excessive shear forces and achieve a state of plastic equilibrium.

In local shear failure, the development of plastic equilibrium is full, which means that the plastic hinge forms and the member is able to redistribute the shear forces throughout the plastic region. This plastic redistribution of forces helps to prevent further failure and collapse of the member.

The formation of a plastic hinge is an important mechanism in structural engineering because it allows the member to absorb and dissipate energy during extreme loading conditions, such as earthquakes or high wind events. The plastic deformation in the hinge region absorbs energy and helps to prevent sudden and catastrophic failure of the member.

It is worth noting that the development of plastic equilibrium in local shear failure is different from global shear failure. In global shear failure, the entire member fails in shear, without the formation of a plastic hinge. In this case, the development of plastic equilibrium is zero, as there is no redistribution of forces and the member collapses.

Overall, in local shear failure, the development of plastic equilibrium is full, allowing the member to redistribute shear forces and prevent further failure.