Limit loads
Encyclopedia
Limit load is the maximum load that a structure can safely carry. It's the load at which the structure is in a state of incipient plastic collapse. As the load on the structure increases, the displacements increases linearly in the elastic range till the load attains the yield value. Beyond this, the load-displacement response becomes non-linear and the plastic or irreversible part of the displacement increases steadily with the applied load. Plasticity
spreads throughout the solid and at the limit load, the plastic zone becomes very large and the displacements become unbounded and the component is said to have collapsed.
Bounding Theorems of Plastic-Limit Load Analysis:
These theorems provide a way to calculate limit loads without having to solve the boundary value problem
in continuum mechanics
. Finite element analysis provides an alternative way to estimate limit loads.
Any load above the limit load will lead to the formation of plastic hinge
in the structure.
Engineer
s use limit states to define and check a structure's performance.
Plasticity (physics)
In physics and materials science, plasticity describes the deformation of a material undergoing non-reversible changes of shape in response to applied forces. For example, a solid piece of metal being bent or pounded into a new shape displays plasticity as permanent changes occur within the...
spreads throughout the solid and at the limit load, the plastic zone becomes very large and the displacements become unbounded and the component is said to have collapsed.
Bounding Theorems of Plastic-Limit Load Analysis:
These theorems provide a way to calculate limit loads without having to solve the boundary value problem
Boundary value problem
In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional restraints, called the boundary conditions...
in continuum mechanics
Continuum mechanics
Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modelled as a continuous mass rather than as discrete particles...
. Finite element analysis provides an alternative way to estimate limit loads.
Any load above the limit load will lead to the formation of plastic hinge
Plastic hinge
In structural engineering beam theory the term, plastic hinge, is used to describe the deformation of a section of a beam where plastic bending occurs...
in the structure.
Engineer
Engineer
An engineer is a professional practitioner of engineering, concerned with applying scientific knowledge, mathematics and ingenuity to develop solutions for technical problems. Engineers design materials, structures, machines and systems while considering the limitations imposed by practicality,...
s use limit states to define and check a structure's performance.