The objective of this research is to evaluate the stiffness and strength demands on flange braces in metal building systems. This objective is accomplished by a targeted study of the effects of various attributes of metal building systems not fully addressed in existing bracing design procedures. Special emphasis is placed on attributes such as unequal brace spacing and stiffness, end brace point flexibility, nonprismatic member geometry, special requirements at knee joints and the specific configuration of combined girt/purlin, flange diagonal, diaphragm and X bracing systems used in metal building construction. A sub-objective of the research is the demonstration of how virtual test simulation via full nonlinear finite element analysis may be applied to solve a structural engineering research problem that would be difficult to address by any other means. When conducted properly, virtual test simulation can serve as a valuable companion to experimental testing since attributes such as residual stresses and critical geometric imperfections can be controlled precisely and with relative ease in virtual test simulation. Both highly simplified and more complex but relatively rigorous procedures are considered, with the ultimate goal being improved economy and safety of flange stability bracing in metal buildings.

In a typical light metal building, the structural members are designed for the forces and moments obtained from the wind drift analysis, which assumes pinned connections at the base. The pinned connections provide no moment at the base and have zero rotational stiffness. However, in reality every connection provides some restraint and has some rotational stiffness. Hence, by considering a modeling assumption of pinned condition, the actual behavior of the connection is not captured and this results in overestimation of lateral drifts and appearance of larger moments at the knee of the gable frames. Since the structural components are designed on the basis of these highly conservative results, the cost of the project increases. This thesis investigates the real behavior of the column base connection and tries to reduce the above stated conservatism by developing a computer program or "wizard" to calculate the initial rotational stiffness of any column base connection. To observe the actual behavior of a column base connection under different load cases, a number of finite element models were created in SAP2000. Each finite element model of the column base connection contained base plate, column stub, anchor bolts and in some cases grout as its components. The model was mainly subjected to three load cases, namely gravity, wind and gravity plus wind. After performing many analyses, the influence of flexibility of each component on the flexibility of the connection was observed and a list of parameters was created. These parameters are the properties of above mentioned components which characterizes any column base connection. These parameters were then used as inputs to model any configuration of the column base connection in the developed wizard. The wizard uses OpenSees and SAP2000 to analyze the modeled configuration of the connection and provides values of the initial rotational stiffness and maximum bearing pressure for the provided loads. These values can be further used in any structural analysis which is done to calculate the lateral drift of a frame under lateral loads. This will also help in getting results which are less conservative than the results which one gets on assuming pinned condition at the base. / Master of Science

While designing metal buildings for wind drift, for simplicity of analysis and design, connection at base of column is considered as pinned which provides no rotational restraint. The actual behavior of the connection however, is partially rigid, that provides some rotational stiffness even in case of single row of bolts. Moreover, using a two-dimensional (planar) structural model for analysis ignores any load distribution provided by roof and wall sheeting. Simulation of true behavior of base connection and diaphragm stiffness can substantially reduce drift caused due to lateral forces thereby lessening the conservatism in traditional design practices. This thesis provides results obtained from full-scale experimental testing and analytical study for a metal building. A full scale load test was conducted to quantify the lateral stiffness of an existing metal building. A static lateral load, consistent in magnitude with the building's design wind pressure, was applied to the knee of a primary frame, and the resulting lateral displacements and column-base rotations for all primary frames were measured. The test procedure was repeated at several locations. The experimentally obtained results were then validated using two-dimensional and three-dimensional analytical models. The three-dimensional models explicitly simulated the primary and secondary framing, roof and wall diaphragms, and column-base stiffness. A couple of approaches have been proposed to model column-base plate connection varying in complexity and accuracy. Once validated, the FE model is utilized to quantify the relative stiffness contributions of the metal building system components to lateral drift. While performing analysis some other parameters were also studied. These consisted of effect of base plate thickness and length of anchor bolts on column-base rigidity. Also, effect of including shear deformations and considering the haunch (column-rafter junction) as rigid were studied. Another small but important part of the paper is comparison of wind pressures obtained using different procedure of ASCE 7-05 with database assisted design pressures. Once these parameters are quantified practical engineering guidelines are developed to incorporate the influence of secondary framing, roof diaphragms, wall cladding, and column-base stiffness and wind loads in metal building design. / Master of Science

This research has been aimed to introduce larger moment carrying connections for any type of buildings, in particular the metal building industry. A total of four connection configurations, namely eight-bolt extended four wide, eight-bolt extended stiffened, six bolt flush unstiffened and twelve bolt extended unstiffened, have been investigated. The last two configurations are proposed whereas the first two configurations have been tested before, but the design procedures need to be validated against the test results. Design procedures, namely yield line analysis and bolt force models, were proposed to calculate moment capacity for end-plate yielding, moment capacity at bolt rupture with prying action and moment capacity at bolt rupture without prying action. The calculated values from these procedures were compared with the values obtained from the experimental test data available (whether from the literature or from this testing program). The experimental data from already tested configurations, eight-bolt extended four wide and eight-bolt extended stiffened, was analyzed. It was concluded that for the eight-bolt extended four wide configuration, the experimental values matched with the calculated values. For the eight-bolt extended stiffened configuration reasonable match was found between the experimentally obtained data and theoretically calculated values only for shallower depths. Hence, it was concluded that two deeper tests need to be performed for this configuration. A full-scale testing program was conducted for ten specimens covering three configurations. The two new configurations (six bolt flush unstiffened and twelve bolt multiple row extended unstiffened) were designed for a shallow and deep beam depth and the behavior of each depth observed for a thin end-plate and a thick end-plate respectively (four tests for each configuration). Also, two deep beam tests, one each for thick and thin plate behavior, were done for the eight-bolt extended stiffened configuration. Based on the comparison, it was determined whether the predicted values were in reasonable agreement with the experimental values or not. The design procedures for both the new configurations appear to be validated for a range of design parameters. The calculated moment capacities for bolt rupture, based on the nominal material properties, were found to be safe when compared with the experimentally obtained moments. The calculations for end-plate yield moments was within ±10% of the experimental yield moment. Also, for the deep tests for eight-bolt extended stiffened the yield line analysis seems to be a valid model and the bolt force model appears to be safe in comparison to the experimental values. / Master of Science

The analysis and design of bracing systems for complex frame geometries typically found in metal buildings can prove to be an arduous task given current methods. The American Institute of Steel Construction's Appendix 6 from the 2010 Specification for Structural Steel Buildings affords engineers a means for determining brace strength and stiffness requirements, but only for the most basic cases. Specifically, there are a number of aspects of metal building systems that place their designs outside the scope of AISC's Appendix 6 (Stability Bracing for Columns and Beams). Some of the aspects not considered by Appendix 6 include: the use of web-tapered members, the potential for unequally spaced or unequal stiffness bracing, combination of bracing types including panel and flange diagonal bracing, and the effects of continuity across brace points. In this research, an inelastic eigenvalue buckling procedure is developed for calculation of the ideal bracing stiffness demands in general framing systems. Additionally, the software provides a method of calculating the elastic lateral-torsional buckling load of members with generally stepped and tapered cross-sections, which satisfies an important need for rigorous design assessment. Extensive benchmarking to load-deflection simulations of geometrically imperfect systems is performed and recommendations are developed for determining the required design stiffness and strength of the bracing components based on the use of this type of computational tool.

Metal buildings account for over 40% of low-rise construction in the US. Despite this, predictive fundamental period equations that were obtained empirically for mid-rise construction are used in seismic design. Analytical modeling of metal building frames implied that these equations significantly underpredict the period, which led to the development of a new predictive equation. However, experimental tests showed that these models may overestimate the measured period. In this work, further tests were carried out in order to single out possible causes. Buildings were tested during different stages of construction to evaluate how non-structural elements could affect the behavior. Both planar and three-dimensional models were developed to determine if design assumptions are accurate for the purpose of estimating the period. The results from tests showed that, unlike other single-story buildings, non-structural components seem to have negligible effect on the structural behavior. However, several buildings seemed to exhibit signs of fixed conditions at the column base. This assertion was corroborated by updating the analytical models. The two modeling approaches showed good agreement with each other as well, validating the use of planar models to predict the period. Finally, new predictive equations are proposed that take into account the type of cladding, as it was found to be an important variable not previously considered. However, low mass participation ratios coupled with the stiffness provided by the secondary framing put the use of the equivalent lateral force procedure into question. / Master of Science / When designing buildings for earthquake loads it is necessary to know their dynamic properties in order to define the equivalent forces that must be applied. Building codes provide predictive equations that were obtained empirically for typical mid-rise construction. Metal buildings do not fall within the range of buildings tested for their development, and so a new equation was proposed for them based on a database of planar models. However, previous tests implied that this equation was predicting larger periods than those obtained experimentally. In this work, further tests were carried out during different stages of construction to evaluate how non-structural elements could affect the behavior. Models were also created for each building in order to determine if the approach used to develop the metal building database was adequate for estimating the period. The results from tests showed that, unlike other single-story buildings, non-structural components seem to have negligible effect on the structural behavior, and the modeling assumptions within the database were validated. Further analysis showed that the type of cladding (concrete or metal sheeting) had a large influence on the properties of metal buildings. In consequence, a new set of predictive equations is proposed that takes this into account.

Three end-plate moment connection configurations are prequalified for special moment frames for seismic applications in AISC 358-10. The eight bolt extended stiffened connection is the strongest of the three configurations, but it can only develop approximately 30 percent of currently available hot-rolled beam sections. The strength of this configuration is limited by bolt strength. There is a need for a stronger end-plate moment connection, hence the reason for the development and validation of a twelve bolt configuration. Equations were developed for the design procedure using various analytical methods, which included yield line analysis and an effective tee stub model. An experimental program was conducted, which consisted of the full-scale cyclic testing of four end-plate moment connections. The intention of the testing was to develop and validate the design procedure, and prequalify a new twelve bolt configuration. A displacement-controlled loading protocol was applied according to AISC 341-10. The experimental results showed that the model for thick end-plate behavior is conservative by 6.7%, the model for end-plate yielding is conservative by 8.8%, and the model for bolt tension rupture with prying conservatively predicts by 18.5%. The specimens that were designed to form a plastic hinge in the beam fractured in a brittle manner. The deep beam specimen fractured in the first 2% story drift cycle, and the shallow beam specimen fractured in the second 3% story drift cycle. The fracture of the prequalification specimens was determined to have been caused by stiffeners of high yield stress relative to the beam yield stress. / Master of Science / End-plate moment connections are a common way to create a rigid joint between beams and columns. Before using a moment connection in a steel building to resist horizontal earthquake loads, each connection configuration must be tested at full-scale and meet performance criteria prescribed in the applicable building code (in this case, the Seismic Provisions for Structural Steel Buildings published by the American Institute of Steel Construction). Three end-plate moment connection configurations have been previously “prequalified” for high seismic regions, which means that sufficient previous testing has shown adequate performance. The eight bolt end-plate moment connection is the strongest of the three configurations, but it can only develop approximately 30 percent of currently available hot-rolled steel beam sections. The strength of this configuration is limited by bolt strength. There is a need for stronger end-plate moment connections, which motivated the development and validation of a twelve bolt configuration in this thesis. Equations were developed for the design of the twelve-bolt end-plate moment connection including equations to predict when the bolts would fracture and when the end-plate would yield. An experimental program was conducted, which consisted of the full-scale cyclic testing of four end-plate moment connections. The intention of the testing was to validate the design procedure and demonstrate that the connection could withstand significant inelastic rotation. The connection assembly was cycled back and forth according to a displacement protocol prescribed in the Seismic Provisions for Steel Buildings. The experimental results showed that the equations were able to predict bolt rupture within 6.7% of the applied moment at fracture, the equation for end-plate yielding was conservative by 8.8%, and the equation for bolt fracture with prying action was conservative by 18.5%. The specimens that were intended to show the connection could withstand significant inelasticity fractured in an unexpected brittle manner. The deep beam iv specimen fractured in the first 2% story drift cycle, and the shallow beam specimen fractured in the second 3% story drift cycle, neither of which reach the target of 4% story drift. The fractures were determined to have been caused by stiffeners that had too high a yield stress relative to the beam yield stress.

Metal building frames are typically designed using welded prismatic and web-tapered members with doubly-symmetric and/or singly-symmetric cross sections. Until recently, the base U.S. provisions for design of frames with web-tapered members were provided in the AISC ASD (1989) and LRFD (1999) Specifications. Unfortunately, these previous AISC provisions address only a small range of practical designs. As a result, metal building manufacturers have tended to develop their own methods for design of the wide range of nonprismatic member geometries and configurations encountered in practice. This research develops new design procedures for design of frames using general prismatic members and web-tapered members. An equivalent prismatic member concept utilized in prior research and the prior AISC provisions is generalized to accommodate the broad range of member types and configurations commonly used in metal building industry. Furthermore, the new design procedures incorporate many of the improvements achieved in the AISC (2005&2010) Specifications to metal building frame design. These improvements include a new stability design method, the direct analysis method, more complete considerations of different column buckling limit states (flexural, torsional and flexural-torsional buckling), and improved axial load and flexural resistance provisions. This research develops practical design-based procedures for simplified calculation of the elastic buckling resistances of prismatic and web-tapered members to facilitate the application of the proposed design methods. In addition, this research performs a relatively comprehensive assessment of beam lateral torsional buckling (LTB) behavior and strength of prismatic and web-tapered members using refined virtual test simulation. It is demonstrated that web-tapered members behave in a comparable fashion to prismatic members. Based on the virtual simulation study, recommendations for potential improvement of the AISC LTB resistance equations are provided. Lastly, the strength behavior of several representative metal building frames is studied in detail using the same virtual test simulation capabilities developed and applied for the assessment of the beam LTB resistances.

Thesis (M.S.) -- Mississippi State University. Department of Civil Engineering. / Title from title screen. Includes bibliographical references.

Les contreventements en acier sont des moyens couramment utilisés pour assurer une rigidité latérale et une résistance aux bâtiments en acier, mais aussi aux bâtiments mixtes acierbéton et aux bâtiments en béton armé. La performance sismique des ossatures contreventées a été étudiée par de nombreux auteurs, la plupart concluent que la réponse réelle de ces ossatures peut différer beaucoup de celle des modèles simplifiés préconisés dans les codes dont l’Eurocode 8. En conséquence, pour obtenir un comportement sismique satisfaisant, ces codes peuvent d’être amendés ou même fondamentalement modifiés. Notre travail de thèse se concentre sur l’éventualité d’un comportement dissipatif localisé sur un étage de l’ossature. Les objectifs de la recherche sont les suivants: - Donner une description plus réaliste de la réponse sismique des ossatures contreventées; - Identifier les facteurs contribuant au développement d’un comportement dissipatif localisé sur un étage; - Examiner la performance des ossatures contreventées dimensionnées conformément à l’Eurocode 8; - Identifier les points faibles des règles de l’Eurocode 8 à l’origine de ce comportement insuffisant; - Proposer une méthode de redimensionnement complémentaire à la procédure actuelle de l’Eurocode 8 faisant appel à d’autres critères et vérifier la validité de cette méthode de redimensionnement sur plusieurs exemples d’ossatures démontrant la disparition complète de mécanismes dissipatifs localisés à un ou quelques étages; Afin de pouvoir apprécier l’insuffisance de l’Eurocode 8 à ce sujet, plusieurs bâtiments ont été dimensionnés selon cet Eurocode et ont été testés par des simulations numériques de type analyse dynamique incrémentale. L’évolution du déplacement relatif maximal entre étages (IDR) en fonction de l’augmentation du facteur d’échelle de l’accélération maximale du sol a été calculée à partir des résultats du calcul numérique. Il est constaté que l’apparition d’étages faibles dans les ossatures contreventées a une nature, progressive et autoamplifiante. La description précise du comportement fournit la possibilité d’une analyse critique des parties correspondantes de l’Eurocode 8 et de proposer une méthode de redimensionnement que nous avons appelé Robust Seismic Brace Design (RSBD). L’idée centrale de la méthode repose sur la nécessité d’utiliser un modèle inélastique d’analyse de la structure à la place du modèle élastique initial. Deux critères essentiels sont introduits dont l’objectif premier est de mieux répartir la dissipation en empêchant la réalisation d’un mécanisme local. Les performances des bâtiments renforcés sont sans exception meilleures que celles des bâtiments originaux; donc la méthode Robust Seismic Brace Design est une bon complément à la procédure de l’Eurocode 8 pour la conception parasismique des ossatures contreventées. / The concentric steel bracing is a commonly used way of providing lateral stiffness and resistance in both steel, composite and even concrete multi-storey framed buildings. Also it is an alternative for seismic retrofitting. The seismic performance of concentrically braced frames has been investigated by numerous authors during the past decades as several issues have been identified either related to the actual response, or the seismic design procedure implemented by standards such as the Eurocode 8. The topics are various, e.g. the cyclic dissipative behaviour of axially loaded braces, innovative bracing arrangements and members, controversial requirements imposed on the same members, localization of inelastic deformations related to the so called weak storey behaviour. The conclusion of most of the prior research conducted on the seismic performance of braced steel frames is that the actual response of a braced building differs from that of a simplified model applied by corresponding codes. Consequently, to safeguard satisfactory seismic behaviour, the Eurocode 8 standard in particular needs to be modified or amended. In order to confine the addressed topic to a size that may be discussed sufficiently in the frame of a PhD research, in the present thesis primarily the weak storey behaviour is looked into. The objectives of the research are: - Provide a better description of the seismic response of concentrically braced frames; - Identify the factors contributing to the development of weak storeys; - Investigate the performance of braced buildings designed according to Eurocode 8; - Identify the reasons why the Eurocode 8 designs are found usually inadequate; - Propose a new design method or additional criteria to the existing Eurocode 8 procedure and verify their viability by providing designs that successfully counteract seismic actions without the development of weak storeys; In the dissertation it is demonstrated by the incremental dynamic analysis of several braced frames that the Eurocode 8 provisions do not provide satisfactory designs. The examination of the responses of the designs is used to characterize the behaviour. It is found that the occurrence of weak storeys in braced frames has a specific, gradual, self-amplifying nature. By further analysis of the seismic responses, proof is given to the existence of this specific behaviour. The better description of the behaviour provides the possibility of a critical analysis of the corresponding parts of Eurocode 8 and the basis of the Robust Seismic Brace Design method criteria. These criteria are related to the anticipated inelastic seismic response of braced frames, and with their application in design weak storeys can be easily recognized and reinforced. The performances of the reinforced buildings are without exception better than that of the original Eurocode 8 designs; therefore the Robust Seismic Brace Design method is found to be a good alternative of the Eurocode 8 procedure for the seismic design of concentrically braced frames.