Material Properties Lecture #2 References: 1. W. MacGregor, “Reinforced Concrete Mechanics and Design”, 6 th Ed 2. ACE 318-11M
Material Properties
Lecture #2
References: 1. W. MacGregor, “Reinforced Concrete Mechanics and Design”, 6th Ed 2. ACE 318-11M
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Objectives
Define strain and its relation to stress
To understand the properties of concrete and steel
2
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Types of Concrete
3
1. Plain
concrete 2. Reinforced
concrete 3. Pre-stressed
concrete
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Definitions
4
ASTM C125 - a composite material that consists essentially of a binding medium within which is embedded particles or fragments of aggregates.
ACI 318 - mixture of portland cement or any other hydraulic cement, fine aggregates, coarse aggregates and water, with or without admixtures.
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
3 Phases
5
Aggregates, Cement, Transition Zone
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
3 Phases
6
Aggregates - comprise from 60% to 80% with an average of 75% of volume Coarse aggregates (4.75 mm - 50 mm, Sieve No.
4 & up) Fine aggregates (< 4.75 mm)
Predominantly responsible for the unit weight, elastic modulus and dimensional stability of concrete
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
3 Phases
7
Aggregates - comprise from 60% to 80% with an average of 75% of volume
light weight (1800 kg/m3)
natural or pyro-processed aggregates having lower bulk density
normal weight (2400 kg/m3) containing natural sand, gravel or crushed rock
heavy weight ( > 3200 kg/m3) high density aggregates for radiation shielding
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
3 Phases
8
Hydrated Cement Paste - usually 10% water and 15% ordinary Portland cement Solids: Calcium-Silicate-Hydrate, Calcium
Hydroxide, Calcium Sulfoluminates, Unhydrated Clinker
Liquid: Capillary water, adsorbed water, interlayer water, chemically combined water (suitable for drinking, do not use saltwater)
Gas (Voids): Interlayer space in C-S-H, capillary voids, air voids Portland Stone
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
3 Phases
9
Hydrated Cement Paste - usually 10% water and 15% ordinary Portland cement
TYPE I Ordinary
TYPE II Moderate Sulfate Resistance and Heat of Hydration
TYPE III High Early Strength
TYPE IV Low Heat of Hydration
TYPE V High Sulfate Resistance
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
3 Phases
10
Hydrated Cement Paste - usually 10% water and 15% ordinary Portland cement
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
3 Phases
11
Transition Zone Thin shell, typically 10 to 50 μm thick Typically weaker thus, it has considerable
influence on the mechanical behavior of concrete
concrete has microcracks in the transition zone even before loading
The reason why concrete behaves non-linear
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
3 Phases
12
Transition Zone
Non
-line
arity
in t
he S
tres
s-St
rain
rel
atio
n of
C
oncr
ete
is d
ue t
o th
e in
terf
acia
l tra
nsiti
on z
one
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
Concrete Failure
13
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Properties > Concrete Strength
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I. Concrete Strength, ’
28th-day compressive strength of a standard 4” by 8” or 6” by 12” cylinder concrete
Minimum ’ 17 MPa (2500 psi) 21 Mpa (3000 psi) – members subject to
seismic forces (NSCP 2010 Section 421.3.4.2) ACI 318 Chapter 4: Durability Requirement
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Properties > Concrete Strength
16
Determining ’ Specimen Average of the strength of at least 2 – 6” x 12” cylinders or 3 – 4” x 8” cylinders
Test Age ACI gives designer freedom to specify age –
usually taken as 28 days For blended cement, due to slower strength gain,
allowed to use more than 28 days fc’(t) = (t/(4+0.85t))fc28’ Curing Conditions Control of humidity and temperature. Specimens should be placed in tanks to keep them
fully saturated at the control temperature
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
Properties > Concrete Strength
17
Normal frequency curves for coefficients of variation of 10, 15, and 20%
V = standard deviation over the mean value fcr' = required average compressive strength
Determining ’
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Properties > Concrete Strength
18
Determining ’
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Properties > Stress-Strain Relationship
19
Typical concrete stress-strain curves in compression.
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Properties > Stress-Strain Relationship
20
Notes: Max stress, fc’, reached
at a strain between 0.0015 to 0.003 followed descending branch
Initial slope, initial tangent modulus of elasticity increases as fc’ increases –
Rising portion of σ-ε resembles a parabola with its vertex at fc’
Slope of descending branch tends to be less than ascending branch as fc’ becomes smaller
Maximum strain εCU, decreases as fc’ increases
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
Properties > Modulus of Elasticity
21
taken as secant modulus to a stress of ≈ 0.5 fc’ (0.45 from ACI)
Varies with age of loading, rate of loading, type and size of specimen
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
Reinforcing Steel
22
Reason for using steel as reinforcement: Expansion properties for both steel and
concrete are considered to be approximately the same (compatibility)
steel bonds well with concrete. bond strength is proportional to the contact surface of the steel with the concrete
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
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Steel
Reinforcing Steel
23
Types of Rebar Plain Bars Round in cross section Used for special
purposes such as dowels at expansion joints or construction joints in roads and runways.
Deformed bars Differ from plain bars in
that they have indentations or ridges in them, in a regular pattern
Lecture #2 Objectives
Concrete
Types
Definitions
3 Phases
Properties
′
Steel
Reinforcing Steel
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