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Structural Steel
Steel designed to support loads in buildings, bridges, and large structures; comes in various shapes/sizes and is classified by type, use, and design
Rebar (Steel Reinforcement Bar)
Deformed steel bar embedded in concrete to improve its overall strength and performance
Four Mechanical Tests for Rebar
Tensile, bend, compression, and fatigue testing
ASTM E8
Standard test method for determining tensile properties (yield strength, UTS, elongation, reduction of area) of metallic materials under controlled uniaxial loading
ASTM A615
Standard ASTM Specification for Deformed and Plain Carbon Steel Bars for Concrete Reinforcement
Stress Formula
σ = F/A, where F is applied force and A is cross-sectional area
Strain Formula
ε = ΔL/L₀, where ΔL is change in length and L₀ is original gauge length
Elastic Region
Region of the stress-strain curve where the material fully returns to its original shape upon unloading
Proportional Limit
The highest stress level at which stress remains directly proportional to strain (Hooke's Law: σ ∝ ε)
Hooke's Law
σ ∝ ε; stress is directly proportional to strain within the proportional limit
Modulus of Elasticity (Young's Modulus)
A material property that measures stiffness; represented by the slope of the stress-strain curve in the linear elastic region
Elastic Limit
The highest stress a material can experience while still remaining elastic (returning to original shape); slightly above the proportional limit
Modulus of Resilience
Energy per unit volume a material can absorb without undergoing permanent deformation; area under the elastic region of the stress-strain curve
Yield Point
The point where large strain occurs with little or no increase in stress; marks the onset of plastic (permanent) deformation
Offset Yield Method
Method to determine yield strength by drawing a line parallel to the elastic modulus offset by 0.2%–2% strain; yield strength is the intersection of this line and the stress-strain curve
Plastic Region
Region beyond the yield point where deformation is permanent and the material does not return to its original shape
Strain Hardening
Post-yield phenomenon where stress increases with increasing strain due to dislocation interactions resisting further deformation
Ultimate Tensile Strength (UTS)
The maximum stress a material can withstand; beyond this point, the cross-sectional area begins to reduce significantly (necking begins)
Necking Region
Localized reduction in cross-sectional area after UTS is reached; engineering stress decreases even as strain increases
Fracture Point
The final point on the stress-strain curve where the material completely breaks
Modulus of Toughness
Total energy per unit volume a material can absorb before fracture; represented by the total area under the stress-strain curve from zero stress to fracture
Deformed Bar
A steel bar with surface protrusions (ribs) intended for use as reinforcement in reinforced concrete construction
Rebar Deformation Spacing Requirement (ASTM A615 §7.1)
Deformations shall be spaced at substantially uniform distances; deformations on opposite sides shall be similar in size, shape, and pattern
Rib Angle Requirement
Deformations shall be placed at an included angle of not less than 45° to the bar axis (ASTM A615 7.2)
Maximum Average Spacing of Deformations
Shall not exceed 0.7 times the nominal diameter of the bar (ASTM A615)
Maximum Gap of Deformations (ASTM A615)
Gap (chord) between ends of deformations shall not exceed 12.5% of nominal perimeter; sum of all gaps shall not exceed 25% of nominal perimeter
Measuring Average Spacing of Deformations
Determined by measuring the length of a minimum of ten spaces and dividing by the number of spaces included (ASTM A615)
Measuring Average Height of Deformations
Based on three measurements per deformation: one at center and two at quarter points of overall length (ASTM A615)
Modulus of Resilience
Area under curve up to elastic limit, Energy absorbed without permanent deformation
Strain Hardening Region
Stress increases with strain, Dislocation interactions resist further deformation
Grade 80 Tensile Requirements
Min. tensile strength: 100,000 psi [690 MPa]; Min. yield strength: 80,000 psi [550 MPa]; UTS/yield ratio ≥ 1.10
True
The proportional limit and elastic limit are not the same point. – between them, behavior is non-linear but still elastic.
Fracture Point
Material completely breaks, Final point on curve
Higher Grade Rebar
Higher strength = often lower ductility (less elongation)
Steel Type Marking – "S"
Indicates Carbon Steel per ASTM A615
Steel Type Marking – "W"
Indicates Low-Alloy Steel per ASTM A706
Steel Type Marking – "SS"
Indicates Stainless Steel per ASTM A955
Rebar Grade Marking System
Grade 40 = no grade markings; Grade 60 = marked "60"; Grade 75 = "75"; Grade 80 = "80"; Grade 100 = "100"; Grade 120 = "120"
Modulus of Elasticity
Slope of linear elastic region, Stiffness – higher E = stiffer material
Modulus of Toughness
Total area under entire stress-strain curve, Energy absorbed up to fracture (toughness)
CS
Steel type marking for Low Carbon Chromium
Yield Point
Large strain with little/no increase in stress, Where plastic deformation begins
True Stress vs. Engineering Stress
Engineering stress uses original cross-sectional area; true stress accounts for actual reduced area — the true stress-strain curve continues rising after UTS due to necking
Ductile vs. Brittle
Ductile materials (like rebar) show significant plastic deformation and necking before fracture; brittle materials fracture with little to no plastic deformation
Factor of Safety
Yield strength is the design threshold; knowing it ensures the material meets the required safety factor before permanent deformation occurs
Nominal Perimeter Formula
Nominal perimeter = 3.1416 × nominal diameter (ASTM A615)
Rebar Deformations
Surface ribs increase mechanical bond (interlocking) between rebar and concrete, transferring tensile forces effective