Farmacología - Universidad Miguel Hernández
Dominio Técnico
Seismic Solutions: Engineering, Bracing & Building Protection Guide
Earthquakes create complex demands on buildings that extend well beyond the primary structural frame. Ground motion can generate lateral and vertical effects, component movement, anchorage forces, and differential displacement that affect mechanical equipment, HVAC systems, piping, electrical systems, fire protection components, and other nonstructural elements. For that reason, seismic solutions should be understood as an engineered combination of analysis, structural attachment, bracing, restraint, isolation, equipment support, coordination, and installation—not as a single product or hardware assembly.
In U.S. construction, the appropriate approach depends on the building, location, occupancy, seismic design criteria, component characteristics, supporting structure, and applicable jurisdictional requirements. A hospital mechanical system, for example, can have very different seismic design considerations from equipment in a commercial office building or machinery in an industrial facility. Existing buildings also introduce constraints that may require field verification, retrofit engineering, and custom-fabricated support assemblies.
A practical seismic design process therefore begins with project criteria and seismic risk, continues through component assessment and seismic calculations, and ultimately establishes a reliable load path from the protected component into the building structure. Depending on the application, that path may incorporate seismic bracing systems, equipment anchorage, restraint hardware, isolation interfaces, structural support frames, flexible connections, or combinations of these measures.
Standards such as ASCE 7 and building codes including the IBC and CBC provide important frameworks, but the applicable edition, jurisdiction, project specifications, and component requirements must always be verified for the specific project. California healthcare facilities may also involve HCAI requirements, historically associated with OSHPD, where applicable.
This guide explains how seismic solutions are developed for buildings, MEP systems, equipment, and critical facilities, and how engineering, structural coordination, BIM/CAD, fabrication, and installation fit together.
What Are Seismic Solutions?
Seismic solutions are engineered measures intended to control earthquake-induced forces and movement affecting structural and nonstructural building components. Depending on the project, they can include structural seismic design, MEP seismic bracing, equipment anchorage, seismic restraint systems, isolation systems, support frames, structural attachments, flexible interfaces, and retrofit measures.
The distinction between structural and nonstructural protection is important. Structural seismic design focuses on the building's primary load-resisting system, including its framing, foundations, shear walls, diaphragms, and other structural elements. Nonstructural seismic protection addresses components such as HVAC equipment, ducts, piping, conduit, cable trays, sprinkler systems, and other equipment whose failure can damage property or disrupt building operations.
A complete solution establishes a continuous load path. Earthquake motion affects the building, the building responds dynamically, and supported components experience forces and movement. Those reactions must then be transferred through appropriate supports, braces, connections, and anchors into structural elements capable of resisting the resulting loads.
Why Seismic Protection Is an Engineering System
A brace cannot be evaluated independently from the structure to which it attaches. Likewise, an anchor cannot be selected solely from an equipment weight. Engineers must consider seismic design criteria, component location, support configuration, equipment geometry, center of gravity, attachment conditions, substrate properties, and applicable project requirements.
This is particularly important for facilities where nonstructural systems are essential to continued operation. A building may remain structurally stable after an earthquake while an unrestrained air handling unit, damaged electrical system, displaced pipe, or failed fire protection component creates significant operational consequences.
Consequently, effective seismic protection solutions connect risk assessment, calculations, component selection, structural attachment, coordination, and installation into one engineering process.
How Do Seismic Protection Systems Work?
A simplified seismic load path can be represented as:
earthquake ground motion → building response → component movement → seismic force → restraint/support → structural attachment → primary structure
The actual engineering behavior is more complex, but this sequence illustrates why every component in the system matters. Earthquake-induced forces do not stop at a brace or support. They must ultimately be transferred into a structural element through a connection capable of resisting the applicable demand.
Seismic Forces and Component Response
Nonstructural component seismic design is not determined by weight alone. Component location, elevation, attachment configuration, dynamic characteristics, seismic design parameters, and other criteria can influence the design forces and reactions used by the engineer.
For equipment, geometry can also be important. A tall component with a high center of gravity may generate different overturning and anchorage demands from a compact component with the same weight. Rooftop equipment can present additional considerations because of its elevation and supporting structure.
Structural Attachments and Load Paths
The support assembly must have a credible path into the structure. Depending on the application, this may involve steel framing, concrete slabs, beams, structural members, anchor bolts, post-installed anchors, welded connections, or fabricated support frames.
The connection itself becomes part of the seismic system. Edge distance, embedment, spacing, substrate strength, steel thickness, weld capacity, and other connection variables may affect performance. For this reason, seismic engineering solutions should be developed from project-specific structural and component information rather than generic assumptions.
Movement and clearance must also be considered. Systems may require adequate separation from adjacent construction, flexible interfaces, or controlled movement zones so that earthquake displacement does not create unintended impact or restraint.
Seismic Bracing for MEP Systems
Seismic bracing systems are a major part of nonstructural earthquake protection because MEP infrastructure can span large portions of a building and often includes suspended or supported systems vulnerable to lateral movement.
Applications can include HVAC ductwork, piping, electrical conduit, cable trays, sprinkler systems, trapeze assemblies, and strut channel support systems. The appropriate configuration depends on the system, support geometry, project criteria, structural attachment, and applicable requirements.
HVAC Seismic Bracing
HVAC systems can include suspended ductwork, air handling equipment, fans, piping, and associated support assemblies. Seismic bracing may involve transverse and longitudinal restraint concepts where applicable, with brace orientation and attachment selected according to the engineering design.
The brace must also work with the existing support arrangement. A well-designed assembly considers the duct or equipment, hanger, brace, connection hardware, and structural attachment as one load path.
Pipe Seismic Bracing
Piping systems require consideration of pipe size, support spacing, operating conditions, movement, brace locations, and attachment points. Process piping and building-service piping may also have different requirements based on their function and project specifications.
Flexible connections can introduce another coordination issue. The piping must be able to accommodate intended movement while the seismic restraint system provides the required control of earthquake-induced displacement.
Electrical and Cable Systems
Conduit and cable trays are commonly supported using structural members, trapezes, or strut channel assemblies. Seismic restraint must account for the supported system and its connection to the structure while avoiding conflicts with adjacent MEP systems.
Fire protection systems require similarly careful coordination. Sprinkler seismic protection should be designed according to applicable fire protection requirements and project criteria rather than treated as interchangeable with ordinary HVAC or electrical bracing.
Seismic Equipment Anchorage and Support Systems
Mechanical and electrical equipment can experience significant seismic reactions because of its mass, geometry, elevation, and mounting configuration. Equipment requiring evaluation may include air handling units, chillers, pumps, fans, boilers, compressors, generators, rooftop units, electrical equipment, industrial machinery, and critical hospital equipment.
Equipment Anchorage
Seismic equipment anchorage creates the connection between the equipment and its supporting structure. Depending on the application, the assembly may include anchor bolts, structural anchors, post-installed anchors, equipment bases, housekeeping pads, mounting plates, or fabricated steel frames.
The design should consider more than the equipment's nominal weight. Equipment dimensions, center of gravity, mounting points, elevation, seismic criteria, substrate, and anchor configuration can affect the resulting forces and reactions.
Equipment Support Frames
Fabricated support frames can be useful where equipment cannot be attached directly to the structure or where existing conditions require a controlled intermediate interface. Structural steel, carbon steel, stainless steel, aluminum, or other specified materials may be used depending on strength, environment, corrosion exposure, fabrication requirements, and project specifications.
High-center-of-gravity equipment deserves particular attention because earthquake-induced overturning effects can create significant demands at the attachment points. A properly engineered support system therefore connects equipment geometry, seismic calculations, support reactions, and structural capacity.
For hospitals, data centers, laboratories, and industrial facilities, equipment supports can also be part of a broader continuity strategy. Protecting critical equipment is not simply about preventing physical displacement; it can help preserve essential building functions when those systems are required for ongoing operations.
Seismic Isolation vs. Seismic Bracing vs. Seismic Restraint
Although seismic bracing, seismic restraint, and seismic isolation are related, they represent different engineering concepts.
Seismic Bracing
Bracing generally uses structural members or assemblies to control lateral or other applicable movement of supported systems. MEP applications commonly involve braces connected between supported components and the building structure.
For example, an HVAC duct system may use a bracing assembly to limit earthquake-induced movement and transfer the resulting forces into the structure.
Seismic Restraint
Seismic restraint is a broader concept encompassing hardware, supports, anchors, braces, structural attachments, and other provisions intended to control component movement during an earthquake.
Equipment restraints can therefore incorporate several elements rather than relying on a single brace. The complete assembly must be evaluated as a load path.
Seismic Isolation
Seismic isolation systems introduce a controlled interface intended to modify the transmission of forces and movement between components or structural systems. Depending on the application, these systems may use elastomeric bearings, sliding bearings, roller or ball interfaces, or other specialized isolation technologies.
Isolation should not be confused with ordinary vibration control. A vibration isolator designed to reduce transmitted mechanical vibration does not automatically provide adequate earthquake restraint. Conversely, a rigid seismic restraint may interfere with the intended movement of a vibration isolation system if the two systems are not coordinated.
This is why equipment combining vibration isolation and seismic protection requires careful review of the complete assembly, including movement limits, restraint hardware, attachment points, and operating clearances.
Seismic Solutions for Buildings and Nonstructural Components
Different building types create different seismic engineering priorities. A broad building seismic solution must therefore account for occupancy, equipment density, system criticality, structural conditions, and operational requirements.
Commercial buildings may require protection for suspended HVAC systems, rooftop mechanical equipment, electrical infrastructure, piping, and other MEP systems. Office buildings and mixed-use facilities can contain extensive distributed services whose failure may affect large portions of the occupied space.
Industrial facilities often introduce more specialized demands. Manufacturing machinery, process piping, utility systems, compressors, tanks, and heavy equipment may require engineered supports and anchorage adapted to the equipment and surrounding structure.
Healthcare facilities require particularly careful coordination because hospitals and medical centers depend on mechanical, electrical, plumbing, fire protection, and specialized equipment systems. Applicable California healthcare projects may also involve HCAI requirements and project-specific approval procedures.
Data centers and critical facilities similarly depend on cooling, electrical distribution, generators, fire protection, and utility systems. Laboratories and research facilities may contain sensitive equipment and specialized services that require project-specific seismic criteria.
Across these applications, nonstructural seismic protection should be treated as an integrated design consideration. Protecting an individual component without considering neighboring systems, structural attachments, clearances, and access can create a system-level vulnerability.
How ASCE 7, IBC, and CBC Affect Seismic Solutions
U.S. seismic design is governed through adopted building codes, referenced standards, project specifications, and jurisdictional requirements. The applicable edition and local adoption must always be verified rather than assuming that one set of requirements applies universally.
ASCE 7
ASCE 7 provides seismic design provisions used to establish criteria for structural and nonstructural components. Its provisions can influence seismic forces, component response, anchorage, and other design parameters.
For nonstructural components, engineers may need to evaluate factors associated with component characteristics, location, attachment, and project seismic criteria. The resulting requirements then inform the design of braces, supports, anchors, and structural attachments.
International Building Code
The IBC establishes a broader regulatory framework for building design and incorporates referenced standards. Its seismic requirements must be considered together with the adopted code edition, jurisdictional amendments, and project-specific requirements.
California Building Code
For California projects, the CBC is particularly important. The applicable edition and local jurisdiction should be verified because seismic requirements are not determined by a generic reference to "California code" alone.
HCAI and OSHPD Requirements
HCAI, historically associated with OSHPD, has specific relevance to applicable California healthcare construction. Hospital and healthcare projects can involve additional requirements concerning structural and nonstructural components, equipment, documentation, and approval pathways.
Compliance is therefore a project-specific engineering responsibility. Referencing ASCE 7, IBC, CBC, or HCAI does not by itself establish compliance. The engineer must verify the applicable requirements, design criteria, component classification, structural conditions, and documentation.
Seismic Calculations and Engineering Design
Seismic calculations provide the analytical foundation for many seismic protection projects. They translate project criteria and component information into design forces, reactions, and connection requirements that can be used to develop appropriate supports and restraints.
Information Required for Analysis
Depending on the application, an engineer may need equipment weight, dimensions, center of gravity, mounting configuration, support locations, elevation, structural substrate, anchor information, and project seismic design criteria. Manufacturer data, project specifications, drawings, and existing-condition documentation can also be important.
For MEP systems, relevant information may include pipe or duct geometry, support configuration, system weight, connection points, and structural attachment conditions.
Determining Seismic Reactions
Engineering analysis establishes the demands that braces, support members, anchors, and structural attachments must resist. The resulting reactions can then be used to evaluate individual components and the overall load path.
A technically sound seismic design solution should therefore connect calculations to actual hardware and structural conditions. A calculation that does not correspond to the installed configuration may not represent the field assembly.
PE/SE Engineering Review
Projects may require review, calculation packages, delegated design documents, or professional engineering seals depending on jurisdiction and contract requirements. Where PE/SE-stamped documentation is required, qualified engineering review should confirm that the design corresponds to the applicable criteria and actual project conditions.
Seismic Retrofit Solutions for Existing Buildings
Existing facilities introduce challenges that are often absent from new construction. Drawings may not accurately reflect installed MEP systems, structural conditions may be difficult to access, and available attachment locations may be limited.
A seismic retrofit solution can require field verification of equipment, structural framing, anchors, supports, clearances, and existing deficiencies. Engineers may need to determine whether an existing slab, beam, frame, or attachment point can accommodate the additional seismic demand.
Occupied healthcare facilities, manufacturing plants, laboratories, and commercial buildings also introduce operational constraints. Installation may need to occur around active equipment, limited shutdown windows, restricted access, and existing utilities.
Retrofit Assessment
A practical retrofit process can begin with existing-condition documentation and field measurements, followed by seismic evaluation and identification of deficiencies. The design can then establish new brace locations, equipment restraints, structural attachments, or support frames.
Custom Retrofit Assemblies
Standard components may not fit an existing structure. Custom brackets, fabricated steel frames, mounting plates, custom strut channels, anchor plates, and equipment restraints can provide solutions for restricted conditions.
The objective is not simply to add hardware. It is to establish an engineered load path that works with the existing building and the component being protected.
Custom Seismic Solutions and Fabricated Support Systems
Some projects require custom seismic solutions because standard assemblies cannot accommodate equipment geometry, structural attachment locations, load demands, clearances, or retrofit constraints.
Custom fabrication can include structural steel frames, equipment bases, brackets, mounting plates, fabricated braces, custom strut channels, anchor plates, and specialized restraint assemblies. Material selection depends on structural requirements, environment, corrosion exposure, fabrication method, and project specifications.
Carbon and structural steel are common choices for support assemblies, while stainless steel may be appropriate for corrosion-sensitive environments. Aluminum can be useful for selected applications where weight and corrosion characteristics are important. Galvanized steel and protective coatings can provide additional corrosion resistance when specified.
The engineering-to-fabrication relationship is critical. A fabricated support should reflect the dimensions, loads, connection details, and tolerances established by the engineering design. Plasma cutting, laser cutting, welding, forming, stamping, machining, galvanizing, and powder coating can then support production of the specified assembly.
This connection between analysis and fabrication is particularly valuable for retrofit work, unusual equipment, and projects where standard components cannot provide the required geometry.
BIM, Structural Coordination, and Installation
Seismic protection must be coordinated across structural, architectural, mechanical, electrical, and fire protection disciplines. Digital modeling can help identify conflicts before fabrication or installation.
A coordinated BIM or 3D CAD workflow can connect:
building structure → equipment → MEP systems → seismic braces → anchors → clearances → access zones → fabrication drawings
This allows engineers and contractors to evaluate attachment locations, brace orientation, equipment access, and potential clashes with ducts, pipes, conduit, cable trays, ceilings, and architectural elements.
Structural coordination is equally important. The proposed attachment location must correspond to an appropriate structural element and support the calculated demand. In concrete construction, anchor selection may require consideration of substrate strength, embedment, spacing, edge distance, and installation conditions. In steel construction, member capacity, connection geometry, welds, bolts, and available attachment surfaces may govern the design.
Installation also affects performance. Brace orientation, anchor installation, hardware, clearances, tolerances, and field conditions should match the engineering documents. When field conditions differ from the design, the appropriate engineering review should occur before modifications are made.
For this reason, BIM 3D CAD modeling is not merely a visualization exercise. It can become a coordination tool linking engineering, construction, fabrication, and field installation.
Common Seismic Design and Installation Mistakes
One common mistake is designing from equipment weight alone. Weight is an important input, but seismic demand can also depend on location, geometry, support conditions, seismic criteria, and anchorage.
Another problem is ignoring the structural attachment. A brace can be properly sized while the connection to the building remains inadequate. The complete load path must be evaluated from the component through the support and anchor into the structural element.
Treating every MEP system identically can also create deficiencies. Pipe, duct, conduit, cable tray, sprinkler, and equipment applications have different physical characteristics and may be governed by different requirements.
Generic anchor assumptions create another risk. Concrete strength, steel substrate, embedment, edge distance, spacing, anchor type, and installation conditions can materially affect connection performance.
Vibration isolation is another frequent coordination issue. Flexible isolation systems and rigid seismic restraints can have conflicting movement requirements unless they are designed as a coordinated assembly. A vibration isolation system should not automatically be considered a seismic protection system.
Existing-building work requires equal attention to field conditions. Relying exclusively on outdated drawings can result in attachment conflicts, incorrect dimensions, or unexpected structural limitations.
Finally, poor interdisciplinary coordination can create practical failures. Structural, mechanical, electrical, architectural, and fire protection systems must share sufficient space for braces, supports, anchors, movement, maintenance, and installation.
How The Sigma Source Supports Seismic Solutions
The Sigma Source approaches seismic solutions as connected engineering and project-delivery functions rather than isolated hardware selections. Depending on project requirements, the workflow can connect seismic calculations and structural engineering with MEP bracing, equipment support, vibration isolation coordination, BIM/CAD development, and custom metal fabrication.
A typical project pathway can move from:
project criteria → equipment/system information → seismic calculations → engineering design → bracing/restraint selection → structural attachment → BIM/CAD coordination → custom fabrication → installation coordination
This approach is particularly relevant when a project includes multiple MEP systems, specialized equipment, existing-building constraints, or custom support requirements.
Capabilities can include seismic calculations, structural engineering, HVAC duct bracing, pipe supports, conduit bracing, cable tray bracing, strut channel systems, equipment support frames, seismic restraint assemblies, and coordination with vibration isolation systems. BIM 3D CAD modeling can support interdisciplinary coordination and fabrication documentation, while custom metal fabrication can produce structural steel, stainless steel, carbon steel, aluminum, sheet metal, rigging, brackets, support frames, and other engineered assemblies.
The appropriate solution remains project-specific. The design must reflect the applicable seismic criteria, building code, structural capacity, equipment information, connection conditions, and installation requirements.
For projects requiring coordinated seismic protection solutions, the value of an engineering-oriented workflow is the ability to connect the analytical design with the physical support system that will ultimately be installed in the building.
Conclusion
Effective seismic solutions begin with engineering rather than hardware. Earthquake protection for a modern building can involve structural design, nonstructural component protection, MEP seismic bracing, equipment anchorage, seismic restraint, isolation, structural attachments, retrofit engineering, and custom support fabrication. Each element must contribute to a reliable load path and work within the physical and regulatory conditions of the project.
For engineers and contractors, the central question is not simply which seismic brace or anchor to purchase. It is how the protected component will respond to earthquake-induced forces, where those forces will be transferred, whether the supporting structure can accommodate them, and whether the final installation matches the engineered design.
ASCE 7, the IBC, CBC, and applicable HCAI requirements can provide essential design and compliance frameworks, but requirements vary by jurisdiction, code edition, occupancy, component, and project specifications. Engineering judgment and project-specific verification remain essential.
The same principle applies to equipment and MEP systems. HVAC ducts, piping, conduit, cable trays, sprinkler systems, chillers, pumps, generators, rooftop equipment, and critical hospital systems each present different support and restraint conditions. Vibration isolation introduces another layer of coordination because isolation and seismic restraint have different engineering objectives.
The Sigma Source can support this broader project pathway through seismic calculations, structural engineering, MEP seismic bracing, equipment support coordination, BIM 3D CAD modeling, and custom metal fabrication. By connecting analysis, structural attachment, digital coordination, fabrication, and installation requirements, seismic protection can be developed as an integrated engineering system rather than a collection of disconnected components.
Frequently Asked Questions About Seismic Solutions
What are seismic solutions?
Seismic solutions are engineered measures used to reduce the risk of earthquake-related movement or damage to structural and nonstructural systems. They can include seismic bracing, equipment anchorage, restraint systems, isolation systems, structural attachments, support frames, flexible interfaces, and seismic retrofit measures. The appropriate solution depends on the building, component, seismic design criteria, structural conditions, jurisdiction, and applicable project requirements.
What types of seismic protection systems are used in buildings?
Common approaches include MEP seismic bracing, equipment anchorage, seismic restraint assemblies, structural support frames, seismic isolation systems, structural attachments, and specialized retrofit assemblies. HVAC ductwork, piping, conduit, cable trays, sprinkler systems, mechanical equipment, electrical equipment, and other nonstructural components may require different protection strategies based on their characteristics and project criteria.
What is the difference between seismic bracing and seismic isolation?
Seismic bracing generally controls movement by connecting a supported system to the building structure through a bracing assembly. Seismic isolation uses a controlled interface intended to modify the transmission of force and movement. They address different engineering objectives and are not interchangeable. Equipment incorporating vibration isolation may also require a separately engineered seismic restraint system.
What MEP systems require seismic bracing?
Depending on applicable project requirements, seismic protection may apply to HVAC ductwork, piping, electrical conduit, cable trays, sprinkler systems, suspended assemblies, and other supported MEP components. The required configuration depends on the system, support arrangement, seismic criteria, building conditions, and governing requirements. A generic assumption that every MEP system requires identical bracing would not reflect sound engineering practice.
How does ASCE 7 affect seismic solutions?
ASCE 7 provides seismic design provisions that can influence the evaluation of structural and nonstructural components. Depending on the application, these provisions can affect seismic forces, component response, anchorage, and other design parameters. Engineers use the applicable criteria together with the adopted building code, project specifications, jurisdictional requirements, and component information to develop the design.
Are seismic solutions required for HVAC equipment?
Requirements depend on factors such as the building, equipment, location, seismic design criteria, jurisdiction, governing code, and project specifications. HVAC equipment may require seismic restraint or anchorage when applicable. Equipment geometry, mounting configuration, center of gravity, support conditions, and structural attachment can all influence the engineering design.
What is seismic equipment anchorage?
Seismic equipment anchorage is the engineered connection between equipment and its supporting structure that is intended to resist applicable earthquake-induced forces and movement. Depending on the application, it may involve anchor bolts, post-installed anchors, mounting plates, equipment bases, housekeeping pads, steel frames, or other structural attachment systems. The complete connection should be evaluated rather than selecting anchors independently from the support system.
Can vibration isolation systems also provide seismic protection?
Not automatically. Vibration isolation and seismic protection serve different purposes. A vibration isolator is typically designed to reduce transmission of mechanical vibration, while seismic restraint is intended to control earthquake-induced movement and transfer applicable forces to the structure. Some specialized assemblies can combine functions, but the complete system must be specifically designed and evaluated for both requirements.
What are seismic retrofit solutions?
Seismic retrofit solutions are measures used to improve the seismic performance of existing buildings, MEP systems, equipment, supports, and structural attachments. Retrofit work may involve field verification, structural evaluation, new braces, equipment restraints, anchors, support frames, custom brackets, or replacement of deficient components. Existing conditions, limited access, occupied facilities, structural capacity, and installation constraints can significantly influence the retrofit design.
When are custom seismic solutions needed?
Custom seismic solutions may be appropriate when standard components cannot accommodate equipment geometry, unusual loads, limited structural attachment locations, restricted clearances, existing-building conditions, or specialized support requirements. Custom assemblies can include equipment support frames, brackets, anchor plates, fabricated braces, custom strut channels, and mounting structures. Engineering calculations and fabrication documentation should correspond to the actual project conditions.
What information is needed for seismic calculations?
Typical information can include equipment weight, dimensions, center of gravity, mounting configuration, support locations, equipment elevation, structural substrate, anchor information, seismic design criteria, applicable code requirements, and project specifications. For MEP systems, engineers may also need system geometry, support details, pipe or duct characteristics, and structural attachment information. Accurate manufacturer data and existing-condition documentation are particularly valuable for retrofit and equipment projects.
Can The Sigma Source provide engineered seismic support solutions?
The Sigma Source can support projects requiring seismic calculations, structural engineering, MEP seismic bracing, equipment support coordination, BIM/CAD development, vibration isolation coordination, and custom metal fabrication, subject to the specific engineering and documentation requirements of the project. A technically appropriate solution should be developed from the applicable seismic criteria, equipment or system information, structural conditions, project specifications, and installation requirements rather than relying on a one-size-fits-all assembly.