Vật liệu thép theo ASTM
Trang 1MODULE A: INTRODUCTION
This module of CIE 428 covers the following subjects
Specifications for design of steel structures
Structural steel
Grades of steel
Steel shapes
Properties of structural steel
Concepts in structural steel design
Basis of load and resistance factors
READING: Chapters 1 and 2 of Segui
Chapters 1 and 2 of Bruneau et al
AISC LRFD Manual of Steel Construction, 3rd
Ed
SPECIFICATIONS
There are two key specifications for the design of steel structures
1 American Institute of Steel Construction (AISC)
Design of steel buildings and connections
www.aisc.org
Trang 22 American Association of State Highway and Transportation Officials (AASHTO)
Design of steel/reinforced concrete/timber bridges
www.aashto.orgOther specifications are available from
American Iron and Steel Institute (AISI)
Cold-formed steel structures
www.steel.org
American Railway Engineering Association
Steel railway bridges
STRUCTURAL STEEL
History of engineered construction using metals
Iron
Chief component of steel
Wrought iron first used for tools around 4000 BC
Produced by heating ore in a charcoal fire
Cast and wrought iron used in the late 18C and early 19C
in bridges
Trang 3Steel
An alloy of primarily iron and carbon
Fewer impurities and less carbon than cast iron
Began to replace iron in construction in the mid 1800s First steel railroad bridge in 1874
First steel framed building in 1884
Trang 4STEEL SHAPES
Hot-rolled shapes are produced from molten steel in a furnace that
is poured into a continuous casting where the steel solidifies but does not cool completely The partially cooled steel is then passed through rollers to achieve the desired shape
Common structural steel shapes are shown below (from Segui)
Trang 5A sample designation of a steel shape is
W18x50
Bar, plate and HSS shapes are shown below
Hollow steel sections (HSS) are fabricated by either bending plate material into the desired shape and seam welding or hot-working to produce a seamless shape
PROPERTIES OF STRUCTURAL STEEL
Stress-strain relationship
Trang 6The stress-strain relationship is the best-known characterization of steel See the figure below from Segui
Stress is denoted as f or σ , and is calculated as f P
Trang 7Necking and failure (strain softening)
Many steels are ductile Ductility is a measure of post-yield elongation, where elongation is calculated as
0 0
Trang 8E: Modulus of elasticity or Young’s modulus (29,000 ksi)
For high-strength steels, the stress-strain relationships are often similar to that shown below (from Segui)
Note from the above figure that
Elastic range
No well-defined yield point
Trang 9Ultimate tensile strength
Because steel design makes use of yield strength and a tensile strength, a definition of yield strength is needed for these steels
0.2% offset (residual strain) method used
Hardness (resistance to plastic deformation)
Closely related to ultimate strength
The concept of carbon equivalent (CE) was introduced to convert into equivalent carbon content the effect of other elements known
to increase the hardness of steel The AWS definition of CE is:
(Mn+Si) (Cr+Mo+V) (Ni+Cu)
Trang 10where C is the % carbon, etc
If strength increases, hardness increases, ductility decreases, and weldability decreases
If CE is high, say 0.4 to 0.5, then the potential for cracking
in the HAZs of welded connections is increased
Limits on CE not found in ASTM standards but other limits are used to control maximum % of elements, etc
Structural steels are often grouped by broad composition, namely,
Plain carbon steels Mostly iron and carbon, less than 1% C Low-alloy steels
Iron, carbon and other components (<5% by volume) Increase in strength, reduction in ductility
High-alloy or specialty steels
For example, ASTM A36 steel is a plain carbon steel with the following components other than iron:
Carbon: 0.26% maximum Phosphorous: 0.04% maximum Sulphur: 0.05% maximum
Trang 11Consider the figure from Bruneau on the following page that shows generic stress-strain relationships for different steels
What are the key observations from this figure?
Effect of temperature on the properties of structural steel
Elevated temperatures generally degrade the properties of structural steel Threshold temperatures vary as a function of mechanical property under consideration See the figure below from Bruneau et al for sample information on the effect of
Trang 12temperature on yield stress, tensile strength, and Young’s modulus
Trang 14Consider A36 steel What is the % reduction in yield stress, tensile strength, and Young’s modulus at 100F, 800F, 1200F, and 1800F?
Charpy V-notch test introduced to determine the transition temperature
Specimen and hammer shown on the following page (from Bruneau et al.)
Result of the test is a value for notch toughness (CVN) given by ** ft-lb at ** F This is a characterization of the energy absorbed by the notched specimen as given
by (h1−h2) in the figure
NDT is the nil-ductility temperature Below the NDT the steel is considered to be brittle under conditions of impact loading
Trang 15Sample CVN data are shown on the following page from Barson and Rolfe
NDT?
Rate effects?
Trang 16Effect of strain rate on mechanical properties of steel
Strain rate will affect the shape of the stress-strain relationship
Yield stress and tensile strength will generally increase with strain rate
Strain rate effects only significant for blast engineering
% increase in yield stress and tensile strength is dependent on temperature
See the figure from Bruneau et al on the following page for sample information
Trang 18CONCEPTS IN STRUCTURAL STEEL DESIGN
Steel structures can be designed using one of three approaches
Allowable stress deign (ASD) Plastic design
Load and resistance factor design (LRFD)
Each of these is summarized in turn below CIE 428 will focus exclusively on LRFD
Allowable stress design
Allowable stress design (ASD) is also called working stress design
Working stresses are calculated from the working loads using best estimates of the applied loads
Allowable stresses (under working loads) are calculated
by dividing the yield stress or tensile strength by a factor of safety
No information on how safe is the design
Trang 19Load and resistance factor design (LRFD)
Load and resistance factor design is similar to plastic design in that strength (the failure condition) is considered, where
Factored load Factored strength≤
where the factored load is the sum of the load effects multiplied
by the load factors and the factored strength is equal to the
resistance multiplied by the resistance factor In this approach, the factored loads bring the member to its limit
The above relationship can be written as follows:
i i Q R n
γ ≤φ
∑where
Trang 20Load combinations summarized from text below
ASCE-7 now provides load combinations for use with the LRFD specification
BASIS OF LOAD AND RESISTANCE FACTORS
The load and resistance factors are based on extensive analytical studies and assessment of in-service conditions
Load factors account for randomness in load effects
Resistance factors account for randomness in material properties and uncertainties in analysis and design theory, and fabrication and construction practices The presentation on the probabilistic basis
of the AISC load and resistance factors is taken from Segui Consideration is given to
Mean, variance, standard deviation, and coefficient of
Trang 21Probability density function (pdf)
Randomness and uncertainty in loads and resistances ( ), ( ), ( R)