Structure Reinforced Concrete

REINFORCED CONCRETE INTRODUCTION

UNIT NO 1: REINFORCED CONCRETE INTRODUCTION

INTRODUCTION

Concrete is arguably the most important building material, playing a part in a building structure. Its ability to be moulded to take up the shapes required for the various structural forms. It is also very durable and fire resistance when specification and construction procedures are correct. Concrete can be used for all standard buildings both single storey, multistory and containment, retaining structures and bridges.

LEARNING OUTCOMES

After completing the unit, you should be able to :

1. identify the principle of reinforced concrete structure.

2. know the function of concrete in structure.

4. identify the reinforced concrete properties.

3. identify the requirement and factor of safety for reinforced concrete design based

on BS 8110.

5. identify the factor of safety requirement for reinforced design based on BS 8110.

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1.1 REINFORCED CONCRETE STRUCTURE

Some of the common building structures are as follows and are shown in Figure 1.1:

1. The single-storey portal supported on isolated footing;2. The medium-rise frame structure, which may be braced by shear walls or

un-braced. The building may be supported on isolated, strip or raft foundation.

3. The tall multistory frame and core structure where the core and rigid frames together resist wind loads. These buildings usually include a basement.

For design a structure, to make many technical decisions about structural systems. These decisions included (1) selecting an efficient, economical and attractive structural form; (2) evaluating its safety, that is, its strength; and (3) planning its erection under temporary construction loads.

Designers determine the internal forces in key members in order to size both members and the connection between members. And designer evaluates deflection to ensure a serviceable structure-one that dos not deflect or vibrate excessively under load so that its functions are impaired.

The concrete building structure can be broken down into the following elements:

1. Beams - Horizontal members carrying lateral loads

2. Slabs - Horizontal plate elements carrying lateral loads

3. Columns - Vertical members carrying primarily axial load but generally subjected to axial load and moment

4. Walls - Vertical plate elements resisting vertical, lateral or in-plane loads

5. Foundation - Loads from columns or walls so that the ground without excessive settlement can support them. Alternatively the bases may be supported on piles.

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Elevation Plan

Figure 1.1: Common building structure

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a) Single-Storey Portal

b) Medium-Rise Reinforced Concrete Frame Building

c) Reinforced Concrete Frame and Core Structure

CLIENT being owner to the project

Infrastructure Projects (ie. Bridges, water tanks, retaining

wall)

ARCHITECT to produce the architectural drawing according to

the client’s requirement

ENGINEER to design according to architectural drawing and produce structural drawing.

CONTRACTOR to construct according to structural drawing


1.2 DESIGN PROCESS

1.2.1 RELATED PARTIES IN DESIGN AND CONSTRUCTION OF STRUCTURES

There are generally four parties (ie. client, architect, engineer and contractor) that are involved in the construction of structures. The flow of works for the mentioned parties is given in Figure 1.2. However for the construction of infrastructure such as bridges, retaining walls and water tanks, the works of the architect are not required.

Figure 1.2: Flowchart of works in design and construction of structures

1.2.2 PURPOSE OF STRUCTURAL DESIGN

In the final analysis, there are two most important purpose of which the design engineer must ensure in the design provided:

1. The safety of the structure under any possible worst loading conditions.

2. The deformation of the structure under normal loading conditions remains within the acceptable range in the context of the structure’s appearance, performance and durability.

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There are three design concepts that have been developed and used in reinforced concrete design. They are:

1. Permissible stress design: Design stresses within the elastic limit are developed by dividing the ultimate strength of the material by a factor of safety.

2. Load factor design: Working loads are increased by a safety factor in order to obtain greater value of design loads.

3. Limit state design: Loads and strength of materials are factored with partial safety factors. Design load are developed by multiplying working loads with partial safety factors while ultimate strength of materials are reduced by dividing with partial safety factors obtaining the corresponding characteristic strength. The partial safety factors are stipulated in BS 8110.

1.3 CODE OF PRACTICE

In Malaysia, design is generally to limit state theory n accordance with:

BS 8110 : 1997 : Structural Use of ConcretePart 1: Code of Practice for Design and Construction

To calculate the deflection and crack width in accordance with:

BS 8110 : 1997 : Structural Use of ConcretePart 2 : Code of Practice for Special / Circumstances

The loading on structures conforms to:

BS 6399 : 1984 : Design Loading for BuildingPart 1: Code of Practice for Dead and Imposed Load

CP3 : 1972 : Chapter V : LoadingPart 2 : Wind Load.

1.4 DESIGN METHODS

1.4.1 STRUCTURAL DESIGN

Once the building form and structural arrangement have been finalized the design problem consists of the following:

1. Idealization of the structure into loads being frames and elements for analysis and design.

2. Estimate of the loads.3. Analysis to determine the maximum moments and shears for design.4. Design of sections and reinforcement arrangements for slabs, beams,

columns and walls using the results from (3).5. Production of arrangements and detail drawings and bar schedule.

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1.4.2 REQUIREMENTS OF DESIGN

Combined economy safety and pleasure:

1. Maintain its function or characteristic without high maintenance costs;2. Give adequate warning of danger in event of an overload;3. Keep and acceptable appearance at working load with no public

unease about its safety. (e.g.: due to distortion, deflection and vibration).

1.4.3 LIMIT STATES DESIGN

The design of an engineering structure must ensure that (1) under the worst loading the structure is safe, and (2) during normal working conditions the deformation of the members does not detract from the appearance, durability or performance of the structure.

The purpose of design is to achieve acceptable probabilities that a structure will not become unfit for its intended use – that is, that it will not reach a limit state. Thus, any way in which a structure may ease to be fit for use will constitute a limit state and the design aim is to avoid any such condition being reached during the expected life of the structure:

The two principle types of limit state are the ultimate limit state and the serviceability limit state.

(a) Ultimate Limit State

This requires that the structure must be able to withstand, with and adequate factor of safety against collapse, the loads for which it is designed. The possibility of buckling or overturning must also be taken into account, as must the possibility of accidental damage as caused, for example, by an internal explosion.

(b) Serviceability Limit State

Generally the most important serviceability limit states are:

1. Deflection – the appearance or efficiency of any part of the structure must not be adversely affected by deflections.

2. Cracking – local damage due to cracking and spalling must not affect the appearance, efficiency or durability of the structure.

3. Durability – this must be considered in terms of the proposed life of the structure and its conditions of exposure.

Other limit states that may be reached include:

4. Excessive vibration – which may cause discomfort or alarm as well as damage.

5. Fatigue – must be considered if cyclic loading is likely.6. Fire resistance – this must be considered in terms of resistance to

collapse, flame penetration and heat transfer.

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7. Special circumstances – any special requirements of the structure which are not covered by any of the more common limit states, such as earthquake resistance, must be taken into account.

The relative important of each limit state will vary according to the nature of the structure. The usual procedure to decide which is crucial limits state or a particular structure and base the design on this, although durability and fire resistance requirements may well influence initial member sizing and concrete grade selection. Check must also be made to ensure that all other relevant limit states are satisfied by the results produced. Except in special cases, such as water water-retaining structure, the ultimate limit state is generally critical for reinforced concrete although subsequent serviceability checks may affect some of the details of the design. Pre-stressed concrete design, however, is generally based on serviceability conditions with checks on the ultimate limit state.

In assessing a particular limit state for a structure it is necessary to consider all the possible variable parameters such as the loads, material strengths and constructional tolerances.

1.5 LOAD

The characteristic or service loads are actual loads that the structure is designed to carry. These are normally through of, as the maximum loads which will not be exceeded during the life of the structure in static terms the characteristic loads have a 95 % probability of not being exceeded.

The loads on a structure are divided into two types: “dead” load, and “live” loads. Dead loads are those which are normally permanent and constant during the structure’s life. Live loads, on the other hand, are transient and are variable in magnitude, as for example those due to wind or human occupants.

The characteristic loads used in design and defined in BS 8110: Part 1: Clause 2.4.1, are as follow:

1. The characterist ic dead load, Gk is the self-weight of the structure and the weight of finishes, ceiling, services and partitions.

2. The characteristic imposed load, Qk is caused by people, furniture, equipment, etc., on floors and snow roofs. Imposed loads for various types of buildings are given in BS 6399: Part 1.

3. The wind load, Wk depends on the location, shape and dimensions of the building. Wind loads are estimated using Cp3: Chapter V: Part 2.

Design Load = Characteristic Load x partial safety factor for loads.

= (Gk,Qk,Wk) x f

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Where f, a partial safety factor for load, (see Section 1.7.2).

The partial safety factor f, takes account of:

1. Possible increases in load2. Inaccurate assessment of the effects of loads 3. Unforeseen stress distribution in members4. The importance of the limit state being considered.

1.5.1 LOAD COMBINATIONS

1.5.1.1 Load Combinations For The Ultimate Limit State

Various combinations of the characteristic values of dead load Gk, imposed load Qk, wind load, Wk and their partial factors of safety must be considered for the loading of the structure. The partial factors of safety specified by BS 8110 are discussed in Section 1.7, and for the ultimate limit state the loading combinations to be considered are as follows.

1. Dead and imposed load

1.4Gk + 1.6Qk

2. Dead and wind load

1.0Gk + 1.4Wk

3. Dead, imposed and wind load

1.2Gk+1.2Qk + 1.2 Wk

The imposed load can usually cover all or any part of the structure and, therefore, should be arranged to cause the most severe stresses. Load combination 1 should also be associated with a minimum design dead load of 1.0Gk applied to such parts of the structure as will give the most unfavourable condition,

For load combination 1, a three-span continuous beam would have the loading arrangement shown in Figure 1.3, in order to cause the maximum sagging moment in the outer spans and the maximum possible hogging moment in the centre span. A study of the deflected shape of the beam would confirm this to be the case.

Figure 1.4 shows the arrangements of vertical loading on a multi-span continuous beam to cause (i) maximum sagging moments in alternate spans and maximum possible hogging moments in adjacent spans, and (ii) maximum hogging moments at support A.

As a simplification, BS 8110 allows the ultimate design moments at the supports to be calculated from one loading condition with all spans fully covered with the ultimate load 1.4Gk + 1.6Qk as shown in part (iii) of Figure 1.4.

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REINFORCED CONCRETE INTRODUCTIONUnder load combination 2, dead and wind load, it is possible that a critical stability condition may occur if, on certain parts of a structure, the dead load is taken as 1.4Gk. An example of this is illustrated in Figure 1.5, depicting how the dead load of the cantilever section increases the overturning moment about support B.

Figure 1.3: Three-span beam

Figure 1.4: Multi-span beam loading arrangements

Figure 1.5: Load combination – Dead load + Wind load

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1.5.1.2 Load Combinations for The Serviceability Limit State

A partial factors of safety f = 1.0 is usually applied to all load combinations at the serviceability limit state. In considering, the imposed load should be arranged to give the worst affect. The deflections calculated from the load combinations are the immediate deflection of structure. Deflection increases due to the creep of the concrete should be based only on the dead load plus any part of the imposed load which is permanently on the structure.

Table 1.1: Combination of loading and limit state.

Limit State Load Combination Design Load

UltimateDead Load + Imposed LoadDead Load + Wind LoadDead Load + Imposed Load + Wind Load

1.4Gk + 1.6Qk

1.0Gk + 1.4Wk

1.2Gk + 1.2Qk + 1.2Wk

Serviceability

Dead Load + Imposed LoadDead Load + Wind LoadDead Load + Imposed Load + Wind Load

1.0Gk + 1.0Qk

1.0Gk + 1.0Wk

1.0Gk + 0.8Qk + 0.8Wk

Table 1.2: Weight of Building Materials

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REFERENCES

1. Intro

1.6 MATERIAL STRENGTH

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Material Weight Material Weight

Asphalt Plastics sheeting (corrugated) 4.5 kg/m2

Roofing 2 layers, 19 mm thick 42 kg/m2

Damp-proofing, 19 mm thick 41 kg/m2

Road and footpaths,19 mm thick 44 kg/m2

Plywoodper mm thick 0.7 kg/m2

Bitumen roofing feltsMineral surfaced bitumen 3.5 kg/m2 Reinforced concrete 2400 kg/m3

Blockwork RenderingSolid per 25 mm thick, stone 55 kg/m2 Cement: sand (1:3), 13 mm thick 30 kg/m2

aggregateAerated per 25 mm thick 15 kg/m2

ScreedingCement: sand (1: 3),13 mm thick 30 kg/m2

Board Slate tilesBlackboard per 25 mm thick 12.5 kg/m2 depending upon thickness and sources 24-78 kg/m2

Brickwork Steel(Clay, solid per 25 mm thick medium 5 kg/m2 Solid (mild) 7850 kg/m2

density Corrugated roofing sheets, per mm 10 kg/m2

Concrete, solid per 25 mm thick 59 kg/m2

Cast stone 2250 kg/m3

Concrete TarmacadamNatural aggregates 2400 kg/m3

Lightweight aggregates (structural) 1760 kg/m3 25 mm thick 60 kg/m2

Flagstones Terrazzo .Conc re te , 50 mm thick 120 kg/m2 25 mm thick 54 kg/m2

Glass fibre Tiling, roofSlab, per 25 mm thick 2.0-5.0 kg/m2 Clay 70 kg/m2

Gypsum panels and partitions TimberBuilding panels 75 mm thick 44 kg/m2 Softwood 590 kg/m3

Hardwood 1250 kg/m3

LeadSheet, 2.5 mm thick 30 kg/m2 Water 1000 kg/m3

Linoleum Wood .3 mm thick 6 kg/m2 Slabs, 25 mm thick 15 kg/m2

PlasterTwo coats gypsum, 13mm thick 22 kg/m2


1.6.1 CONCRETE PROPERTIES

1.6.1.1 Compressive Strength

The compressive strength is the most important property of concrete. The characteristics strength that is the concrete grade is measured by the 28 days cube strength.

The test procedure is given in:

BS 1881 : 1983 : Method of Testing Concrete Part 108 : Method of Making Test Cubes from Fresh Concrete Part 111 : Method of Normal Curing of Test Specimens Part 116: Method of Determination of Compressive Strength of

Concrete Cubes.

1.6.1.2 Tensile Strength

The tensile strength of concrete is about a tenth of compressive strength (10% of compressive strength). The test procedure is given in BS 1881.

1.6.1.3 Creep

Creep in concrete is the gradual increase in strain with time in a member subjected to prolonged stress. The creep strain is much larger that the elastic on loading. The main factors affecting creep strain are the concrete mix and strength, the type of aggregate, curing, ambient relative humidity and the magnitude and duration of sustained loading.

Effects of creeps are important become where the increase deflection may cause:

Opening of cracks Damage to finishes Non-alignment

1.6.1.4 Modulus of Elasticity

From the short-term stress-strain curves, E can be determined from the slope of the graph as shown in BS 8110, Part 1. This value of E is within the elastic range, which will be design for ultimate limit state theory.

1.6.1.5 Shrinkage

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REINFORCED CONCRETE INTRODUCTIONShrinkage or drying is the contraction that occurs in concrete when it dries and hardens. Drying shrinkage is irreversible but alternate wetting and drying causes expansion and contraction of concrete. The aggregate type and content are the most important factor influencing shrinkage. The larger size of the aggregate is the lower is the shrinkage and the higher is the aggregate content; the lower the workability and water-to-cement ratio are the lower is the shrinkage.

1.6.2 CHARACTERISTIC OF MATERIAL STRENGTH

The strengths of materials upon which design is based are those strengths below which results are unlikely to fall. These are called `Characteristic Strengths, ƒk’. It is assumed that for a given material, the distribution of strength will be approximately `normal', so that a frequency distribution curve of a large number of sample results would be of the form shown in Figure 1.6. The characteristic strength is taken as that value below which it is unlikely that more than 5 per cent of the results will fall. This is given by;

ƒk = ƒm - 1.64.s

where;

ƒ k . = characteristic strength,ƒm = mean strength,

s = standard deviation.

The relationship between characteristic and mean values accounts for variations in results of test specimens and will, therefore, reflect the method and control of manufacture, quality of constituents, and nature of the material.

Figure 1.6: Normal frequency distribution of strengths

Characteristic strength of concrete, fcu, are shown in Table 1.3;

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http://where.fk/

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REINFORCED CONCRETE INTRODUCTIONTable 1.3: Concrete strength, fcu.

Concrete Grade fcu (N/mm2)

C25

C30

C40

C45

C50

25

30

40

45

50

Characteristic strength of reinforced, fy, are shown in Table 1.4;

Table 1.4: Reinforcement strength, fy

Reinforcement Type fy (N/mm2)

Hot Rolled Mild Steel

High Yield Steel

250

460

1.7 PARTIAL FACTOR OF SAFETY

Other possible variations such as constructional tolerances are allowed for by partial factors of safety applied to the strength of the materials and to the loadings. It should theoretically be possible to derive values for these from a mathematical assessment of the probability of reaching each limit state. Lack of adequate data, however, makes this unrealistic and in practice the values adopted are based on experience and simplified calculations.

1.7.1 PARTIAL FACTORS OF SAFETY FOR MATERIALS ( m )

Design strength = Characteristic strength,( ƒ k ) partial factor of safety ( m )

The following factors are considered when selecting a suitable value for (m ):

1. The strength of the material in an actual member. This strength will differ from that measured in a carefully prepared test specimen and it is particularly true for concrete where placing, compaction and curing are so important to the strength. Steel, on the other hand, is a relatively consistent material requiring a small partial factor of safety.

2. The severity of the limit state being considered. Thus, higher values are taken for the ultimate state than for the serviceability limit state.

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Recommended values for ( m) are given in Table 1.5 although it should be noted that for pre-cast factory conditions it may be possible to reduce the value for concrete at the ultimate limit state.

Table 1.5: Partial factor of safety applied to material ( m ) Material

Limit State Concrete Steel

Ultimate 1.5 1.05Flexure 1.25 1.05Shear 1.4 -Bond Serviceability 1.0 1.0

1.7.2 PARTIAL FACTORS OF SAFETY FOR LOADS ( f )

Errors and inaccuracies may be due to a number of causes:

1. Design assumptions and inaccuracy of calculation2. Possible unusual load increase3. Unforeseen stress redistributions4. Constructional inaccuracies

These cannot be ignored, and are taken into account by applying a partial factor of safety ( f )on the loading, so that:

Design load = Characteristic of load x partial factor of safety ( f )

The value of this factor should also take into account the importance of the limit state under consideration and reflected to some extent the accuracy with which different types of loading can be predicted, and the probability of particular load combination occurring. Recommended values are given in Table 1.6. It should be noted that design errors and constructional inaccuracies have similar effects and are thus sensible grouped together. These factors will account adequately for normal conditions although gross errors in design or construction obviously cannot be catered for.

Table 1.6: Partial factors of safety for loadings.

Load Ultimate Serviceability

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( G ) ( Q) ( Q ) ( w ) ( G),( Q),( w)

Dead & Imposed Load 1.4 1.6 1.4 - 1.0

Dead & Wind 1.4 - 1.4 1.4 1.0

Dead, Imposed& Wind Load 1.2 1.2 1.2 1.2 1.0

1.8 STRESS - STRAIN RELATION

Short-term stress-strain curves are presented in BS 8110. These curves are in an idealized from which can be used in the analysis of member sections.

1.8.1 CONCRETE

The behavior of structural concrete (Figure 1.7) is represented by a parabolic stress-strain relationship, up to strain ε0, from which point the strain increase while the stress remains constant. Strain, ε0 is specified as a function of the characteristic strength of the concrete (fcu ), as is also the tangent modulus at the origin. The ultimate design stress is given by;

0. 67 f cu = 0.67 fcu = 0.447 fcu ≈ 0.45 fcu m 1.5

where the factor of 0.67 allows for the different between the bending strength and the cube strength of the concrete, and m = 1.5 is the usual partial safety factor for the strength of concrete when designing members cast in situ. The ultimate strain of 0.0035 is typical for all grades of concrete.

Figure 1.7: Stress-Strain parabolic curve for normal weight concrete in compression

1.8.2 REINFORCING STEEL

The representative short-term design stress-strain curve for reinforcement is given in Figure 1.8. The behavior of the steel is identical in tension and

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REINFORCED CONCRETE INTRODUCTIONcompression, being linear in the elastic range up to the design yield stress of fy / m where fy is the characteristic yield stress and m is the partial factor of safety.

Within the elastic range, the relationship between the stress and strain is;

Strain = Stress / Modulus of Elasticity

εy = { fy / m } / Es

Where;For fy = 460 N/mm2, εy = ( 460 / 1.05 ) / 200X103 = 0.00219

For fy = 250 N/mm2, εy = ( 250 / 1.05 ) / 200X103 = 0.0019

Figure 1.8: Tension and compression stress-strain curve for reinforcement

1.8.3 STRESS-STRAIN TABULATION IN CROSS SECTION

The theory of bending for reinforced concrete assumes that the concrete will crack in the regions of tensile strain and that, after cracking all the tension is carried by the reinforcement. It also assumes that place sections of a structural member remain plane after straining, so that across the section there must be a linear distribution of strains.

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Figure 1.9 shows the cross-section of a member subjected to bending, and the resultant strain diagram, together with three different types of stress distribution in the concrete.

Figure 1.9: Section with strain diagrams and stress blocks

1. The triangular stress distribution applies when the stresses are very nearly proportional to the strains, which generally occurs at the loading levels encountered under working conditions and is, therefore, used at the serviceability limit state.

2. The rectangular-parabolic stress block represents the distribution at failure when the compressive strains are within the plastic range and it is associated with the design for the ultimate limit state.

3. The equivalent rectangular stress block is a simplified alternative to the rectangular-parabolic distribution.

As there is compatibility of strains between the reinforcement and the adjacent concrete, the steel strains εst in tension and εsc in compression can be determined from the strain diagram. The relationship between the depth of neutral axis (x) and the maximum concrete strain (εcc) and the steel strains is given by;

εst = (εcc) {(d- x) / x } → (i)

and

εstc = (εcc) {(x-d’) / x } → (ii)

where d is the effective depth of the beam and d’ is the depth of the compression reinforcement.

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Having determined the strains, we can evaluate the stresses in the reinforcement from the stress-strain curve of Figure 1.8, together with the equations developed in Section 1.8.2.

For analysis of a section with known steel strains, the depth of the neutral axis can be determined by rearranging equation (i) as;

x = d /{1 +( εst / εcc) } → (iii)

At the ultimate limit state the maximum compressive strain in the concrete is taken as

εcc = 0.0035

For steel with fy = 460 N/mm2 the yield strain is 0.00219. Inserting these values into equation (iii):

x = d / { 1 + (0.00219 /0.0035)} = 0.615 dHence, to ensure yielding of the tension steel at the ultimate limit state:

x ≤ 0.615 d

At the ultimate limit state it is important that member sections in flexure should be ductile and that failure should occur with the gradual yielding of the tension steel and not by a sudden catastrophic compression failure of the concrete. Also, yielding of the reinforcement enables the formation of plastic hinges so that redistribution of maximum moments can occur, resulting in a safer and more economical structure. To be very certain of the tension steel yielding, the code of practice limits the depth of neutral axis so that;

x ≤ ( βb – 0.4) d

where

βb = moment at the section after redistribution moment at the section before redistribution

Thus with moment redistribution not greater than 10 per cent, and βb ≥ 0.9;

x ≤ 0.5 d

1.9 SERVICEABILITY, DURABILITY AND STABILITY REQUIREMENT

The concept of serviceability limit states has been introduced in Section 1.4.3, and for reinforced concrete structures these states are often satisfied by observing empirical rules which affect the detailing only. In some circumstances, however, it may be desired to estimate the behavior of a member under working conditions, and mathematical methods of estimating deformations and cracking

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Where the foundations of a structure are in contact with the ground, the pressures developed will influence the amount of settlement that is likely to occur. To ensure that these movements are limited to acceptable values and are similar throughout a structure, the sizes of foundations necessary are based on the service loads for the structure.

Durability is necessary to ensure that a structure remains serviceable throughout its lifetime. This requirement will involve aspects of design, such as concrete mix selection and determination of cover to reinforcing bars, as well as selection of suitable materials for the exposure conditions which are expected. Good construction procedures including adequate curing are also essential if reinforced concrete is to be durable.

1.9.1 DETAILING REQUIREMENTS

These are to ensure that structure has satisfactory durability and serviceability performance under normal circumstances. BS 8110 recommends simple rules concerning the concrete mix and cover to reinforcement, minimum member dimensions and limits to reinforcement quantities and spacing which must be taken into account at the member sizing and reinforcement detailing stages.

1.9.1.1 Minimum Concrete Mix and Cover (Exposure Condition)

These requirements are interrelated, and BS 8110 specifies minimum combinations of thickness of cover and mix characteristics for various exposure conditions. The mixes are expressed in terms of minimum cement content, maximum water/cement ratio and corresponding minimum strength grade. These basic requirements are given in Table 1.7.

The nominal cover is that to all steel, and allows for a maximum fixing tolerance that the actual cover does not fall below 5 mm less than that specified. Adjustment must be made to cement contents if different aggregate size are used, and detailed of these and other possible modifications are given in BS 5328.

Table 1.7: Nominal cover and mix requirements for normal weight 20 mm maximum size aggregate concrete

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1.9.1.2 Minimum Member Dimensions and Cover (Fire Resistance)

BS 8110 also provides tabulated values of minimum dimensions and nominal covers for various types of concrete member which are necessary to permit the member to withstand fire for a specified period of time. These are summarized in Table 1.8 and 1.9.

Table 1.8: Nominal cover for fire resistance

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Table 1.9: Minimum dimensions of RC members for fire resistance (nominal cover requirements satisfied)

1.9.1.3 Maximum Spacing of Reinforcement

The maximum clear spacing given in Table 1.10 apply to bars in tension in beams when a maximum likely crack width of 0.3 mm is acceptable and the cover to reinforcement does not exceed 50 mm.

It can bee seen that spacing is restricted according to the amount of moment redistribution applied. Any bar of diameter less than 0.45 times that of the largest bar in a section must be ignored when applying these spacing. Bars adjacent to corners of beams must not more than one-half of the clear distance given in Table 1.10 from the corner.

Rules for the slabs permit greater spacing under specified conditions as follows:

(a) If h ≤ 200 mm with high yield steel (fy = 460 N/mm2) or(b) If h ≤ 250 mm with high yield steel (fy = 250 N/mm2) or(c) If 100As / bd ≤ 0.3 per cent

Then the maximum clear spacing between bars should not exceed 750 mm or 3d, whichever is smaller.

If none of these apply, the maximum spacing should be taken as that given in Table 1.10, except that if the ratio 100As / bd is less than 1.0, the values from Table 1.10 should be divided by that ratio. If the amount

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REINFORCED CONCRETE INTRODUCTIONof moment redistribution is unknown when using Table 1.10 for slabs, zero should be assumed for span moments and -15 per cent for support moments.

Table 1.10: Maximum clear spacing (mm) for tension bars in beams

1.9.1.4 Minimum Spacing of Reinforcement

To permit concrete flow around reinforcement during construction the minimum clear gap between bars, or groups of bars, should exceed (hagg

+ 5 mm) horizontally and (2hagg / 3) vertically, where hagg is the maximum size of the coarse aggregate. The gap should be vertically in line and must also exceed the bar diameter, or in the case of “bundled bars” the diameter of a bar of equivalent total cross-sectional area.

1.9.1.5 Minimum Areas of Reinforcement

For most purposes, thermal and shrinkage cracking may be controlled within acceptable limits by the use of minimum reinforcement quantities specified by BS 8110. The principal requirements are summarized in Table 1.11 although other requirements include 0.15 per cent traverse reinforcement in the top surfaces of flanges in flanged beams and 0.25 per cent (high-yield) or 0.30 per cent (mild steel) anti-crack steel in plain walls (bar diameter ≥ 6 mm or one-quarter diameter of vertical compressive bars). Requirements for shear links and column binders are respectively.

1.9.1.6 Maximum Areas of Reinforcement

These are determined largely from the practical need to achieve adequate compaction of the concrete around reinforcement. The limits specified by BS 8110 are as follows:

(a) For a slab or beam, longitudinal steel

100 As or 100 Asc not greater than 4 per cent each bh bh

Where bars are lapped, the sum of the bar sizes in a layer must not be greater than 40 per cent of the section breadth.

(b) For a column

100 As not greater than 6 per cent if cast vertically bh

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not greater than 10 per cent at laps in either case

Table 1.11: Minimum reinforcement areas

1.9.2 SPAN-EFFECTIVE DEPTH RATIOS

BS 8110 specifies a set of basic span-effective depth ratios to control deflections which are given in Table 1.12 for rectangular sections and for

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REINFORCED CONCRETE INTRODUCTIONflanged beams with spans less than 10 m. Where the web width of a flanged beam bw > 0.3b, linear interpolation should be used between the values for a flanged beam and a rectangular section. Ratios for spans >10 m are factored, when it is necessary to control the increase in deflections after the application of partitions or finishes (except for cantilevers). Table 1.12 can otherwise be used.

The basic ratios given in Table 1.12 are modified in particular cases according to

(a) The service stress in the tension steel and the value of M/bd2, as shown in Table 1.13.

(b) The area of compression steel as in Table 1.14.

The area of tension reinforcement provided is related to the value of M/bd2, thus lower values of service stress and Mlbd2 will result in smaller depths of neutral axis x. This effect will reduce deflections due to creep, as there will be less of the section subject to compressive stresses. Compression reinforcement restrains creep deflections in a similar manner and also reduces the effects of shrinkage.

The service stress in the reinforcement fs is usually a function of the yield stress fy, as indicated in the table. The values shown are 2/3 fy, but may be factored by the ratio As,req / As,prov as well as an allowance for moment redistribution 1/βb if known. The reinforcement area As and As’ are measured at the centre of span, or at the support for a cantilever, and the value of As’ used with Table 1.14 should include all bars located in the compression zone.

Table 1.12: Basic span-effective depth ratio

Table 1.13: Tension reinforcement modification factors

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Table 1.14: Compression reinforcement modification factors

1.10 FAILURE TYPES OF CROSS SECTION

There are three types of failure of cross section show in Figure 1.10;

(a) Under Reinforced

Where;

i) area of steel reinforcement provided, As prov is smaller than area of concrete, Ac.

ii) In this situation, reinforcement will achieve failure limit before concrete achieve strength maximum

iii) Failure of structure is occurs because of reinforcement fail in tension.

iv) x < 0.64d (Figure 1.10 (a)).

(b) Balance Section

Where;

i) area of steel reinforcement, As,prov provided is similar (or balance) to area of concrete, Ac.

ii) In this situation, reinforcement will achieve the limit together with concrete achieve strength maximum

iii) Reinforcement and concrete will fail simultaneouslyiv) x = 0.64d (Figure 1.10 (b)).

(c) Over Reinforced

Where;

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0.002

0.0035

0.0035

< 0.002

x > 0.64d

x = 0.64d

0.0035

> 0.002

x < 0.64d

REINFORCED CONCRETE INTRODUCTIONi) area of steel reinforcement, As,prov provided is more than area of

concrete As,prov.ii) In this situation, concrete will achieve the maximum stress before

reinforcement. iii) The failure occurs because of concrete fail in compression.iv) x > 0.64d

a) Under reinforced

b) Balance section

c) Over reinforced

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Figure 1.10: Type of Failure Cross Section

EXERCISE 1.1

1. What are the five (5) most important serviceability limit states?

2. What is the meaning of Ultimate limit state?

3. List four (4) major elements of building structure.

4. Load is a one factor should be considered before design the

structure base. List three (3) others factor that need to be check

before design the concrete structure.

5. Explain with sketch three (3) types of cross section.

SUMMARY

In this unit we have studied :

1. design reinforced concrete requirement and design process base on BS 8110.

2. ultimate limit state and Serviceability limit state requirement for reinforced

concrete structure.

3. the important of partial factor of safety for material ad load in renforced concrete

design.

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REINFORCED CONCRETE INTRODUCTION4. serviceability, durability and stability requirement should be provided in concrete

structure design.

REFERENCES

1. W.H.Mosley, J.H. Bungery & R. Husle (1999), Reinforced Concrete Design (5th

Edition) : Palgrave.2. Reinforced Concrete Modul, (1st Edition). USM.3. BS 8110, Part 1: 1985, The Structural Use of Concrete. Code of Practice for

Design and Construction.

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Structure Reinforced Concrete

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