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Seismic Lexicon / Seismic Design & Assessment / Capacity Design
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Capacity Design

Definition

Capacity design is a seismic design philosophy in which ductile elements are deliberately chosen to yield first, while all other elements are protected by being designed with sufficient strength to remain elastic. It ensures that inelastic deformation occurs only in controlled, ductile locations.

Detailed Explanation

Capacity design is a design philosophy that explicitly controls the location and mechanism of inelastic deformation in a structure. The principle is simple but powerful: identify the elements or regions where ductile yielding is acceptable and desirable, then design them to yield first while providing all other elements with enough strength to remain elastic. This creates a controlled hierarchy of resistance β€” a ductile mechanism that dissipates energy without causing collapse. The philosophy was formalized by Tom Paulay and M.J.N. Priestley in the 1970s and has become foundational to modern seismic design codes worldwide.

The most common application of capacity design is in moment-resisting frames, where the goal is to ensure beam hinging rather than column hinging. This is achieved through the "strong column, weak beam" principle: the sum of the moment capacities of the columns at a joint must exceed the sum of the moment capacities of the beams by a factor (typically 1.2 or more). This ensures that when the frame is pushed laterally, hinges form at the beam ends β€” where ductility is provided through careful detailing β€” rather than at the columns, which could lead to a soft-story collapse. The required column moment capacity is calculated from the overstrength beam moment capacity (beam plastic moment times an overstrength factor), not from the code-specified design moment. Similar principles apply to shear in beams and columns (designed for the shear corresponding to flexural overstrength, not just the design shear), beam-column joints (designed to remain elastic), foundations (designed to remain elastic, so that inelastic deformation occurs in the superstructure), and connections in steel structures (designed for the plastic capacity of the connected elements).

Capacity design is closely tied to the response modification factor (R) used in force-based design. The R factor divides the elastic seismic demand by a factor (2 to 8) that reflects the ductility and overstrength of the structural system. However, the R factor approach assumes that the structure will respond as intended β€” with ductile mechanisms developing as designed. Capacity design is the mechanism that ensures this assumption holds. Without capacity design, an R factor is an optimistic assumption about behavior that may not be realized. Codes worldwide now require capacity design principles for all structures assigned an R factor greater than 1. In practice, capacity design requires the engineer to calculate the overstrength demand on protected elements β€” the maximum force that could be delivered to them by the yielding of the ductile elements β€” and to design those elements for that force. This often leads to larger sections, more reinforcement, or stronger connections than the code-minimum design forces would require, but it produces a structure that behaves as intended under real earthquakes. The 1994 Northridge and 1995 Kobe earthquakes provided painful lessons about the consequences of inadequate capacity design, particularly in steel moment connections and reinforced concrete columns.

Formula

Ξ£M_column β‰₯ 1.2 Β· Ξ£M_beam (strong column, weak beam)
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