Analysis and design of steel structures pdf
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Breaking News Fetching data Civil engineering program. Home Steel structure design of steel structure pdf. Steel structure. This lecture note constitutes the limitstate method of design for members subjected to combined stress resultants asper stipulations of the draft IS: — LSM version where the draft code has dealt mainly with i combined shear and bending ii combined axial tension and bending and iii combined axial compression and bending.
Advanced Analysis and Design of Steel Frames By Guo-Qiang Li and Jin-Jun Li, Book Free Download
The Brazilian design load standard still provides a wind speed map developed in Since then, new data have been collected and new charts have been proposed in literature. The literature not only alerts to changes in short-term wind gust patterns, but it also warns that the wind speed values are higher than observed in the past. Many researchers have suggested that these differences are correlated to climate change effects. Besides the geophysical and societal impacts of climate change, there is a general concern between designers on the impacts of higher wind speeds on structural design.
This paper aims to analyze the wind speed as a stochastic variable and its influence on the design of steel structures when changes in wind speed occur. A stochastic approach is used to evaluate expected stress values for a steel beam-column example. A Monte Carlo analysis is performed on a forty-story steel frame to compare the impact of different wind speed scenarios and types of analysis.
In the analyses, the wind speed is approached by a Gumbel distribution and future wind scenarios are generated for sensitiveness evaluation.
The analytical and Monte Carlo analyses indicate that greater attention shall be given to the consequences of using an average wind speed value instead of a probability distribution function. All data or processes have a certain level of uncertainty. For example: material properties, loading scenarios, boundary conditions, geometry domain, etc. The probability theory can be applied to understand and quantify how these uncertainties impact these quantities or functions.
When probability models are coupled as parameters in the differential equations that represent a physical problem of interest, the complete model is ruled by a stochastic differential equation Dorini et al. The first study evaluated the reliability of I-section steel columns designed according to the Brazilian standard for the design of steel buildings NBR ABNT, The second study evaluated the reliability associated to the use of a so-called Column Overdesign Factor COF , which ensures a designer predefined preferable failure mode; this method is usually adopted in seismic structural design.
In this paper, however, the main focus is on the loading side, more specifically: wind load. Generally, structural design codes consider the wind velocity randomness by defining a specific wind velocity value that is associated to a load factor; these values are determined based on a statistical study of the historical database of wind velocities. Davenport named the steps to determine wind loading as a wind loading chain, which consists of assessing and combining the effects of: wind velocity, terrain roughness, geometric shape of the building, overall structural response to the local wind pressures, and dynamic amplification.
This traditional approach, however, leads one to assume that each variable is deterministic and independent Davenport, But the design chart of basic wind speeds of NBR ABNT, is the one proposed by Padaratz , which used the first database of maximum wind speed collected between and by Vieira Filho Since then, new wind speed records have been available and more stations have been built. Recently, scientists have raised global awareness on climate change patterns; the first IPCC Intergovernmental Panel on Climate Change report was published in and the last report was just released in All reports indicate important changes in environment patterns such as: seasonal temperature, amount of precipitation, wind speed, social impacts, etc.
These studies lead one to conclude that not only new wind speed charts have to be used, but also a new approach to take in account the wind speed variability needs to be developed to provide a reliable basis for structural design standards.
An alternative for taking into account the wind load variability is to consider the wind load as a stochastic variable adopted into the static or dynamic differential equations that governs a structural problem. The results of these equations are statistical moments mean, standard deviation, etc. That way, in a given scenario, non-deterministic variables are transformed into a probability function that describes stresses and strain in a structure.
According to Dorini et al. Others techniques, based for example on Galerkin method, are discussed and presented in Ghanem , Deb et al. The purpose of this paper is to analyze, through a simple example, the impact of the wind load - non-deterministic variable - on the static equilibrium equations of a beam-column and to determine if the same conclusions can be expanded to the analysis of typical steel-frame buildings.
Based on the functional analysis method presented in Dorini et al. Probability density function stress curves are also generated for different wind speed scenarios. A Monte Carlo analysis of a typical high-rise steel-frame building was performed; different types of structural analysis procedures were adopted to verify the consistency of the conclusions.
Herein, the wind load is considered as a stochastic variable governed by a given probability density function, which is followed by examples that evaluate the stress probability function of a beam-column - equilibrium in the original perfectly straight and deflected shape.
A comparison between expected stress value and stress obtained from mean wind speed value for a given artificial future scenarios is also presented. The stochastic analysis is performed for the beam-column example depicted in Figure 1. The wind load pressure is proportional to its velocity. As the wind speed is a random variable, the load will also be a random variable, then:. The wind velocity can be modeled using a Gumbel cumulative distribution function:.
Deriving Eq. The maximum column stress design value in Figure 1 occurs at the column mid-height. It is assumed that superposition can be used. Then, the total stress is the sum of two parts: stresses caused by the wind load and stresses caused by the vertical force, which can be written in the general form:. The subscript s will be used herein when the variable is associated to the column in a perfectly straight shape, Figure 1 a. As shown in Eq.
Herein, we solve the second order elastic equation considering the bending moment produced by the vertical force:. We can also use the superposition of axial and bending axis stresses to get the maximum stress:.
The subscript d will be used herein when the variable is associated to the column in a deflected shape, Figure 1 b. Note that equilibrium in the deflected shape also leads to a total stress function, which follows a Gumbel distribution. The equations for comparison are:.
The first hurricane observed in the South Atlantic region occurred in and in the last 50 years the south region of Brazil has registered an abrupt increase in the precipitation volume. Pereira et al. Important developments were achieved in terms of numerical tools to predict the effects of the climate change, but the level of uncertainties is still large.
Based on the study presented in Steenbergen et al. The results and discussions presented in this subsection are based on the study of the beam-column depicted in Figure 1. The comparison between the probability density functions derived above equilibrium in the straight and deflected shape is depicted in Figure 2 below:.
Figure 2 depicts that, for an increase in the vertical force, the probability density function for equilibrium in the deflected shape shifts to higher stress values, while the probability of the peak load decreases and the curve becomes wider - larger standard deviation.
Table 2 summarizes the comparison between the deterministic and stochastic expected stress for a beam-column with axial load, P, where equilibrium is given in the original straight shape and in the deflected shape Eq. Table 2 indicates that the expected stress values are greater for stochastic analysis and that equilibrium in the deflected shape, as expected, leads to higher stress values.
Note that the ratios between the stochastic and deterministic expected values are practically the same for each type of equilibrium analysis. Table 3 provides the ratio between expected stress values. The results indicate a nonlinearity between wind speed and stress, as expected, since wind load and wind speed have a nonlinear relationship. Equilibrium in the straight and the deflected shape produces practically the same expected stress ratio, since, for this column-beam example, wind load and stresses have a linear relationship.
Figure 3. A forty-story steel frame commonly found in office-type building is analyzed in this section; this frame, Figure 4 , is a two-bay structure with 9. Cross-sections, mechanical material properties, and nominal loads are summarized in Figure 4. This frame was originally proposed in a report issued by the Fritz Laboratory at Lehigh University, Lu et al.
Since then, researchers have used the frames described in the report as benchmark problems for further studies. The finite element model of the forty-story steel frame considers that the load factor for dead load is 1.
In this paper, the considered forty-story steel frame is located in the region of Campinas, Sao Paulo, Brazil. As an example, a basic wind speed of Given the Gumbel distribution function just described, a vector with 10, values of basic wind speed was created and for each value of basic wind speed, three types of analysis were performed:.
A comparative histogram of the moment at the base of the center column is presented in Figure 5. The moment at the base of the center column was chosen as the variable to be analyzed, since it is the highest overturning moment found in the model and, thus, can provide a good understating of the comparisons between the different types of analyses performed on the proposed forty-story steel frame structure.
Figure 5 and Table 4 depict that, as was concluded for a beam-column analytical analysis, the histogram for second-order analysis shifts to a higher moment at the base, while the probability of the maximum moment decreases and the curve becomes wider - larger standard deviation; note that the ratios between the Monte Carlo simulation and the analysis using the expected basic wind speed value are still practically the same for each type of analysis. Another interesting fact is depicted in the zoomed-in view graph in Figure 5 ; for most part of the models, the probability associated to second-order elastic and inelastic analysis is the same.
However, once the moment at the base reaches values close to 4, The moment value just mentioned is the moment at the base right before the structure reaches a plastic collapse mechanism, which can only be detected through a second-order inelastic analysis. In fact, based on the second-order inelastic analysis, 0. How to perform a stochastic analysis for a very simple example: steel beam-column has been described.
Results indicate that, using Gumbel distribution to describe the wind velocity, the expected stress values are higher when performing a stochastic analysis. It was also shown that the probability density functions are more susceptible to vertical force changes when equilibrium is considered in the deflected shape, which shows the importance of also accounting for the vertical force in a stochastic analysis.
There were significant changes in the pdf curves for different wind speed scenarios, as well as changes in the expected stress ratio higher stress values and larger standard deviation , much due to the nonlinearity between wind speed and stress; similar conclusions were reached in the analysis of a multi-story high-rise steel frame. The importance of further research in this area has been shown in a beam-column model, as well as in a high-rise building model, where the effect of the basic wind speed was considered separately without the interference of any other non-deterministic variable.
Climate change has affected the loading curve distribution, especially for wind loads, and future changes must be acknowledged in upcoming design standards. The authors would like to acknowledge SimWorx - Eng. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors only. ABNT Minimum design loads for buildings and other structures.
Brasil, Salvador: D. UFBA, SIAM J. BECK, A. New design chart for basic wind speeds in Brazil. Latin American Journal of Solids and Structures , v. XXX, n. Computational analysis of randomness in Structural Mechanics. Past, present and future of Wind Engineering.
[PDF] Plastic Analysis and Design of Steel Structures By M. Bill Wong Book Free Download
Liu, Y. Last reviewed: January Methods to ensure the safety of steel structures over their expected lifetimes. Undoubtedly, the safety of structures has become an important issue since the collapse of the World Trade Center buildings, in New York City, on September 11, Over the past century, the loss of life and property resulting from natural phenomena such as earthquakes and human-created incidents such as explosions and terrorist attacks has been tremendous. To a certain extent these tragedies are unavoidable and humans cannot stop natural disasters. However, with more sophisticated design for more robust structures, the damage caused by such accidents can be minimized.
Save extra with 2 Offers. It is primarily meant for the undergraduate students of civil engineering and postgraduate students of structural engineering. It will also be immensely useful for structural engineers engaged in design, consultancy and construction involving steel structures. The important theoretical and practical concepts which need to be assimilated prior to undertaking analysis and designgeneral principles and practices, functional aspects of structures, basic design concepts, alternative arrangements of equipment and service, clarity of structural behaviour, and calculations of loadings on structuresare covered in the first two chapters. The three types of structures specifically covered, on the basis of functional aspects, are scrap yard structures, conveyor structural systems, and turbo-generator buildings.
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PDF | On Jul 23, , Goodluck Ogonnaya Chikanya published The Design and Analysis of Steel Structures Under Fire | Find, read and cite.
Steel Structures Design And Behavior 4th Edition Pdf
The plastic method has been used extensively by engineers for the design of steel structures, including simple beams, continuous beams, and simple portal frames. Traditionally, the analysis is based on the rigid-plastic theory whereby the plastic collapse load is evaluated through virtual work formulation in which elastic deflection is ignored. For more complex frames, specialist computer packages for elastoplastic analysis are usually employed.
The Brazilian design load standard still provides a wind speed map developed in Since then, new data have been collected and new charts have been proposed in literature. The literature not only alerts to changes in short-term wind gust patterns, but it also warns that the wind speed values are higher than observed in the past. Many researchers have suggested that these differences are correlated to climate change effects.
design of steel structure pdf
The building complex comprises a multibay melting shop and finishing mill building. The melting shop consists of a melting bay, a hopper storage bay, an intermediate bay and a casting bay. The finishing shop consists of a rolling shop bay, a finishing mill bay and a motor and power room bay. The finishing shop is located adjacent to the melting shop. The two buildings are separated by an expansion joint. The spacings of the stanchions in the melting bay, storage hopper bay, intermediate bay and casting bay are
Он был добрым и честным, выдержанным и безукоризненным в общении. Самым главным для него была моральная чистота. Именно по этой причине увольнение из АН Б и последующая депортация стали для него таким шоком.