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**803452 - Reinforced Concrete Design I**

Umm Al-Qura University
Collage of Engineering and Islamic Architecture Civil engineering Department Reinforced Concrete Design I Instructor: Eng. Ali Hamed Harasani علي بن حامد الهرساني

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**Course Outline Introduction to Reinforced Concrete**

Flexural Analysis of Beams Strength Analysis of Beams Design of Rectangular Beams and One-way Slab Analysis and Design of T-Beams and Doubly Reinforced Beams Serviceability

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**Introduction to Reinforced Concrete**

Concrete and Reinforced Concrete Concrete- a mixture of fine aggregate (sand), coarse aggregate, cement, water, air and admixtures. Admixtures are materials, other than cement, aggregate and water, that are added to concrete either before or during its mixing to alter its properties, such as workability, curing temperature range, set time or color.

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**Introduction to Reinforced Concrete**

Concrete and Reinforced Concrete Concrete has high compressive strength and low tensile strength Reinforced concrete is a combination of concrete and steel. The reinforcing steel is used to resist tension Reinforcing steel can also be used to resist compression (columns)

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**Introduction to Reinforced Concrete**

Advantages of Reinforced Concrete High compressive strength relative to unit cost High resistance to effects of fire and water Reinforced concrete structures have high stiffness Low maintenance cost Reinforced concrete structures have long service life Reinforced concrete is often the only economical material for footing, floor slabs, basement walls and piers

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**Introduction to Reinforced Concrete**

Advantages of Reinforced Concrete Reinforced concrete offers architectural flexibility Reinforced concrete uses local materials for aggregate, and only small amounts of cement and steel, which are items that may not be available locally Labor skills are not as high for reinforced concrete construction, when compared to some other common materials, such as steel structures

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**Introduction to Reinforced Concrete**

Disadvantages of Reinforced Concrete Concrete has a low tensile strength, requiring use of reinforcing steel Forms are required to hold the concrete until it hardens. In addition, falsework may be necessary. Formwork and falsework are expensive Concrete has relatively low strength when compared to its unit weight

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**Introduction to Reinforced Concrete**

Disadvantages of Reinforced Concrete High unit weight translated into large dead load and corresponding increase in bending moment Concrete beams are relatively large, which leads to, for example, larger story heights and taller buildings Concrete properties can vary widely depending on proportioning, mixing and curing

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**Introduction to Reinforced Concrete**

Codes Building Code Requirements for Structural Concrete (ACI ) International Building Code (IBC 2006) Saudi Building Code (SBC 304)

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**Introduction to Reinforced Concrete**

Portland Cement Type I – Common, all-purpose cement Type II – low heat of hydration and some resistance to sulfates Type III – high, early strength; high heat of hydration Type IV – low heat of hydration Type V – used for concrete with exposure to high concentration of sulfate

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**Introduction to Reinforced Concrete**

Portland Cement Concrete made with Type I portland cement must be cured about two weeks to achieve sufficient strength to permit removal of forms and application of small loads. Concrete made with Type I portland cement reaches design strength an about 28 days Concrete made with Type III portland cement reaches design strength in three to seven days

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**Introduction to Reinforced Concrete**

Portland Cement Concrete made with Type III portland cement produces high heat of hydration; more likely to cause cracking Concrete used in seawater or some soils may be subjected to attack by chlorides or sulfates

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**Introduction to Reinforced Concrete**

Air-Entraining Admixtures Air-entraining admixtures for concrete must conform to either ASTM C260 or ASTM C618 Air-entraining admixtures produce small air bubbles in the concrete When water in concrete begins to freeze it expands

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**Introduction to Reinforced Concrete**

Air-Entraining Admixtures The expanding water moves into the space in the air bubbles In the air bubbles the water has room to expand without creating internal pressure in the concrete Concrete without entrained air will deteriorate due to freeze-thaw cycle Important for bridge decks and other concrete members exposed to freeze-thaw cycles

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**Introduction to Reinforced Concrete**

Other Admixtures Acceleration admixtures, such as calcium chloride, reduce curing time Retarding admixtures slow the rate of set of concrete and reduce temperature increase Retarding admixtures are useful when a large amount of concrete is to be placed and it is important to reduce temperature

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**Introduction to Reinforced Concrete**

Other Admixtures Retarding admixtures prolong the plasticity of the concrete, increase the bond between successive pours Superplasticizers are made from organic sulfate Superplasticizer maintain workability with reduced water/cement ration (usually using less cement)

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**Introduction to Reinforced Concrete**

Other Admixtures Superplasiticizer are used to produce self-consolidating concrete (SCC) With SCC, vibration is not required to get concrete to flow around reinforcing bars and in congested areas

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Compressive Strength The specified compressive strength of concrete is denoted by the symbol 𝑓 ′ 𝑐 Compressive strength is determined by testing a 6×12in cylinder at an age of 28 days For most applications, the range of concrete strength is 20 to 30 MPa (3,000 to 4,000 psi)

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Compressive Strength For prestressed concrete, the range of concrete strength is MPa (5,000-6,000psi) For columns with high axial loads (lower stories of tall buildings), concrete with strength in the range MPa(9,000 – 10,000 psi)

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Compressive Strength (Compression Test)

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Compressive Strength (Compression Test)

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Concrete Stress-Strain

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Concrete Stress-Strain The relationship between stress and strain is roughly linear at stress levels equal to about one-third To one-half the ultimate strength. Beyond this range the relationship is non-linear

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Concrete Stress-Strain Regardless of compressive strength, all concretes reach their maximum strength at a strain of about 0.002

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Concrete Stress-Strain Concrete does not have a well-defined yield point

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Concrete Stress-Strain Ultimate strain achieved is on the order of to Lower strength concrete achieves higher ultimate strains than does higher strength concrete

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Static Modulus of Elasticity Concrete does not have a single modulus of elasticity The particular value varies with concrete strength, age, type of loading and proportions of aggregate and cement ACI Code Section 8.5.1: 𝐸𝑐=0.043 𝑊𝑐 𝑓 ′ 𝑐 (in MPa) for values of Wc between 1440 and 2480 kg/m³ For normal weight concrete, Ec shall be permitted to be taken as : 𝐸𝑐= 𝑓 ′ 𝑐 (MPa)

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Static Modulus of Elasticity High-strength concrete 40 MPa (6,000 psi) In SI units with f’c in MPa and Wc in kg/m³ the expression is 𝐸𝑐 𝑀𝑃𝑎 =[ 𝑓 ′ 𝑐 +6895] ( 𝑊𝑐 2320 ) 1.5 Dynamic modulus is about 20 to 40 percent higher than the static modulus

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Poisson’s Ratio µ About 0.11 for high strength concrete About 0.21 for low strength concrete Average value is about 0.16

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Shrinkage Workable concrete requires more water than is necessary to fully hydrate the cement As concrete cures, water not used in hydration begins to evaporate The effect of evaporating water is shrinkage and cracking of the concrete Shrinkage occurs for many years, but about 90 percent occurs within the first year

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Shrinkage The amount of moisture lost depends on distance from the point in the concrete to the surface Members with large surface area have a higher rate of shrinkage The amount of shrinkage depends on exposure of the member

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Shrinkage Keep mixing water to a minimum Cure thoroughly Place concrete in small sections Use construction joints Use shrinkage reinforcement Use dense, non-porous aggregate

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Creep Creep is deformation under sustained load Creep is also called plastic flow Creep deformations may be two to three times as large as instantaneous deformation 75 percent of creep occurs during the first year

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Creep The amount of creep is dependent on the stress present Creep can also cause concrete strength reduction of 15 to 25 percent The longer concrete cures before load is applied, the smaller the creep High strength concrete experiences less creep than low strength concrete

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Creep Creep increases with increasing temperature The higher the humidity, the smaller the creep The higher w/c , the higher the creep The presence of compression steel reduces creep Large members creep less than small members

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Tensile strength Tensile strength of concrete is about eight to 15 percent of its compressive strength Tensile strength varies with the square root of the compressive strength Concrete is filled with micro-cracks Micro-cracks affect tensile strength, but not compressive strength

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Tensile strength Tensile strength is measured indirectly, using either the modulus of rapture or split cylinder test While tensile strength is small, it nevertheless has a significant impact on deflection, bond strength, shear strength and torsional strength

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Modulus of Rapture Test ASTM C78 150mm × 150mm × 750mm unreinforced concrete specimen Tested as a sample beam on a 600mm span Loaded at third-points with two concentrated loads

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Modulus of Rapture Test (fr)

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Modulus of Rapture Test

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Modulus of Rapture Test ACI Value for fr ACI Code Section 𝑓𝑟=0.7𝜆 𝑓 ′ 𝑐 𝜆 𝑖𝑠 𝑎 𝑝𝑎𝑟𝑎𝑚𝑒𝑡𝑒𝑟 𝑡𝑜 𝑎𝑐𝑐𝑜𝑢𝑛𝑡 𝑓𝑜𝑟 𝑙𝑖𝑔ℎ𝑡𝑤𝑒𝑖𝑔ℎ𝑡 𝑐𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝜆=1 𝑓𝑜𝑟 𝑛𝑜𝑟𝑚𝑎𝑙 𝑤𝑒𝑖𝑔ℎ𝑡 𝑐𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝜆=0.85 𝑓𝑜𝑟 𝑠𝑎𝑛𝑑−𝑙𝑖𝑔ℎ𝑡𝑤𝑒𝑖𝑔ℎ𝑡 𝑐𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝜆=0.75 𝑓𝑜𝑟 𝑎𝑙𝑙−𝑙𝑖𝑔ℎ𝑡𝑤𝑒𝑖𝑔ℎ𝑡 𝑐𝑜𝑛𝑐𝑟𝑒𝑡𝑒

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Split Cylinder Test (ASTM C496) Significance and Use 1 Splitting tensile strength is generally greater than direct tensile strength and lower than flexural strength(modulus of rupture). 2 Splitting tensile strength is used in the design of structural lightweight concrete members to evaluate the shear resistance provided by concrete and to determine the development length of reinforcement.

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Split Cylinder Test (ASTM C496)

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Split Cylinder Test (ASTM C496) Calculation Calculate the splitting tensile strength of the specimen as follows: 𝑇=2𝑃/𝜋𝑙𝑑 where: T = splitting tensile strength, psi [MPa], P = maximum applied load indicated by the testing machine,lbf [N], l = length, in. [mm], and d = diameter, in. [mm].

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Aggregates Aggregates occupy about three-quarters of the concrete volume Aggregate is relatively inexpensive and economical concrete uses as much aggregate as possible, relative to the other components Concrete aggregate consist of a fine component (sand) and a coarse component

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Aggregates Aggregate that passes a No. 4 sieve is considered to be fine aggregate Aggregate not passing a No. 4 sieve is considered to be coarse aggregate ACI Code Section limits aggregate size: 1/5 narrowest dimension between sides of forms; 1/3 the depth of slabs; ¾ of the minimum clear space between reinforcement

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Reinforcing Steel Bars or welded wire fabric (WWF) Bars can be plain or deformed Plain bars are rarely used Deformed bars come in these sizes: No. 3 to No. 11, No. 14 and No. 18 The diameter of the bar is the bar’s number divided by 8 (up to #8)

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Reinforcing Steel

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Reinforcing Steel ASTM Reinforcing Steel Standards ASTM A615 – deformed or plain billet steel – most commonly used ASTM A 706 – low alloy deformed or plain bars – properties intended to enhance weldability or bendability ASTM A996 – deformed rail steel or axle steel bars – very limited availability

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Reinforcing Steel Grades of reinforcing steel Grade 40, 50, 60, 75, or 100 Grade 60 → 60 ksi yield stress Grade 60 most commonly used Grade 40 and 50 intended to be grade 60 but does not have adequate yield strength

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Reinforcing Steel Grades of reinforcing steel Grade 280, 350, 420, 500, or 700 Grade 420 → 420 MPa yield stress Grade 60 most commonly used Grade 280 and 350 intended to be grade 60 but does not have adequate yield strength

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Reinforcing Steel Reinforcing Steel Identification

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Loads and Load Effects Types of loads encountered when designing reinforced concrete: dead, live, roof live, snow and ice, rain, wind and seismic Loads produce load effects (axial force, shear, moment and torsion)

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Loads and Load Effects ACI 318 Load Combinations ACI Code Section 9.2 gives the load combinations to be used in reinforced concrete design The ACI load combinations deal with load effects, not loads

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Loads and Load Effects ACI 318 Load Combinations D → dead load L → live load Lr → roof live load F → weight or pressure created by fluid T → temperature, creep, shrinkage, differential settlement R → rain load S → snow load W → wind load E → seismic load H → lateral earth pressure, ground pressure or pressure from bulk materials

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**Introduction to Reinforced Concrete**

Properties of Reinforced Concrete Loads and Load Effects ACI 318 Load Combinations

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Example Compute Factored load to be used in the design of a column subjected to the following load effects: 9 kips compression from dead load, 5 kips compression from roof live load, 6 kips compression from snow, 7 kips compression from accumulated rain, and 8 kips compression from wind. Assume live load is greater than 100 lb/ft2.

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