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  • 8/19/2019 Teorija - Experimental Determination Mechanical Properties Clay Brick Masonry

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    Canadian Journal on Environmental, Construction and Civil Engineering Vol. 3, No. 3, March 2012

    EXPERIMENTAL DETERMINATION OF THE MECHANICAL PROPERTIES

    OF CLAY BRICK MASONRY

    T.C. Nwofor

    Department of Civil and Environmental Engineering

    University of Port Harcourt, Rivers State, Nigeria.

    P.M.B 5323, Port Harcourt

    [email protected] 

    Abstract:

    The structural behaviour of masonry is influenced by the mechanical properties of the

    constituent materials. Therefore a full mechanical characterization is required for propernon-linear analysis of masonry structures. Hence uniaxial compressive test is carried out

    on unreinforced masonry and its constituents (clay bricks and mortar). From this study,

    compressive stress-strain relationships at different confining stress levels have been

    defined. In this paper the experimental results obtained is used to formulate simpleanalytical models for the purpose of estimating the modulus of elasticity of unreinforced

    masonry, utilizing the control points established in this work. The proposed material

    model can be employed in the non-linear finite element analysis of masonry structures.

    Keywords: Brick-mortar masonry, compressive stress, strain and modulus of elasticity.

    1. Introduction

    The properties of brickwork are influenced by variables of bricks, type of mortar,

    physical properties of the sand and lime used for the mortar, state of bricks before

    casting, curing workmanship and many others. Hence it can be deduced that in the

    experimental determination of mechanical properties of brickwork, a large number of

    variables can be considered. We should note that the analysis and design of buildings

    require the material properties of masonry, for example, the modulus of elasticity of

    masonry is require for the non-linear static analysis. Stress-strain curves of masonry are

    required for more detailed non-linear analysis of masonry structures. Limited research

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    Canadian Journal on Environmental, Construction and Civil Engineering Vol. 3, No. 3, March 2012

    has been carried out by researches to obtain a realistic material property for masonry [1]-

    [4]. Also laboratory test have also been carried out on masonry, adopting the approach of

    a homogenous continuum material made up of brick units, mortar joints and any unit-

     joint interfaces [5]. The wide variation of test value of the mechanical property of

    masonry and its units especially when under the influence of compressive load [6]-[9] has

    not aided the formulation of realistic stress-strain curves for non-linear modeling of

    masonry and infilled frame structures. Hence, in this present study, extensive

    experimental testing of brick masonry prism material according to ASTM specification

    [10] would be performed to obtain stress-strain curves. Also experimental relationships

    would be obtained between the modulus of elasticity of masonry units of its compressive

    strength. Furthermore, simple analytical equations are developed using the experimental

    data to estimate the mechanical properties and plot the stress-strain curves for masonry.

    However, to maintain the scope of this research, the materials used have been kept

    constant. The bricks, cement, sand and lime used are described below.

    2. Materials and Experimental Procedure

    The bricks employed are solid burnt clay bricks of average size of 224 x 106 x 72mm.

    Typical physical properties are shown in Table 1. The absorption rate of bricks immense

    in water at room temperature is also shown in Figure 1.

    Table 1: Physical properties of bricks

     No. of

     specimens

    Compressive Strength

    (x 106  kN/m

     2 ) Std Dev

     Mean Range

    Crushing strength * 20 23.30 18.69-27.25 2.21

    ψ   102 22.00 - 2.32

    Length (mm)

    Breadth (mm)

    Depth (mm)

    *

    *

    *

    20

    20

    20

    224

    106

    72

    223.1-224.5

    106.2-106.8

    71.1-72.9

    0.391

    0.183

    0.194

    Water Absorption

    % by wt. after 25 hrs, immersion 12.49

    % by wt. after 5 hrs, boiling 12.91

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    Canadian Journal on Environmental, Construction and Civil Engineering Vol. 3, No. 3, March 2012

    (*) Values obtained by author

    (ψ ) Values obtained by British Ceramic Research Association

    The mortal mixes will consist of cement, lime and sand, while ordinary Portland cement

    would be used for this investigation so as to use the 28

    th

     day strength.

    0

    2

    4

    6

    8

    10

    12

    14

    16

    0 5 10 15 20 25

    immersion time (mins)

       A   b  s  o  r  p   t   i  o  n

       (   b  y  w  e   i  g   h   t   )   %

     

    Figure 1: Absorption of Bricks

    Also, graded sand classified in zone 2 was generally used for this investigation to prepare

    the mortar. The particles distribution analysis is shown below for a sample of 300grams.

    Sieve analysis was carried out on the river sand sample and the results shown in Table 2.

    The result revealed the sand sample was well graded falling into zone 2 near border of

    zone 1, which is very appropriate for concrete work in accordance with BS 882, part 2

    1992 [11]. The fineness modulus of the sand was found to be 3.15, which makes the sand

    sample a rather coarse one.

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    Canadian Journal on Environmental, Construction and Civil Engineering Vol. 3, No. 3, March 2012

    Table 2: Particle size analysis on fine aggregate sampleSieve Mass on

    (g)

    % on sieve %

    retained

    %

    passing

    Zone 2

    Limits

    Max. on sieve

    permitted (g)

    5.00mm

    2.36mm

    1.18mm

    600.00µm300.00µm

    150.00µmTray

    No.7

    14

    2552

    100

    12

    54

    60

    6663

    39

    6

    4

    18

    20

    2221

    13

    2

    4

    22

    42

    6485

    98

    -

    96

    78

    58

    3615

    2

    -

    90-100

    75-100

    55-90

    35-598-30

    0-10

    -

    -

    200

    100

    7550

    40

    315

    +Needed dividing as it exceeded the maximum permitted on sieve.

    Zone = zone 2, near border of zone 1.

    Fineness modulus (FM) 315 ÷ 100 = 3.15 (rather coarse)

    A mortar mix proportioning of 1:¼:3, 1:0.5:4.5 and 1:0:6 corresponding to avolume proportioning of cement, lime, and sand respectively are generally used, while

    maintaining reasonable workability for mortar is achieved by varying the water-cement

    ratio ( C W  ) to produce suitable workability.

     2.1 Water Cement Ratio (  C W   ) of Mortar

    In concrete work the term water/cement ratio, if not qualified, could refer either to

    effective water/cement ratio or total water/cement ratio. In this investigation, thewater/cement ratio of fresh mortar is an important factor in determining the properties of

    the hardened mortar (as a joint) in brickwork. It is therefore necessary to clarify the

    definition of this term as used in this work.

    Assuming only fine aggregates (i.e. sand in the case of this investigation), the effective

    water/cement ratio for strength is defined as:

    Effective ( C W  ) = total ( C W  ) – as( C S  ) (1)

    where

    total C W   = total amount of water added to the dry mix

    aS = 30mins absorption capacity of the sand (in the air-dry state).

    S/c = sand/cement ratio by weight.

    For the oven-dry sand used throughout this investigation as (in this case corresponding to

    maximum absorption capacity) was found to be 0.024.

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    Canadian Journal on Environmental, Construction and Civil Engineering Vol. 3, No. 3, March 2012

    Hence from equation 1

    Eff. W/C = total W/C – 0.024s/c (2)

    Table 3 gives a comparison of the effective W/C with the total W/C for two typical mixes

    used.

    Table 3: Comparison of the effective W/C with the total W/C

    Mortar Total W/C (by wt.) Effective W/C (by wt.)

    1:¼:3 1.0

    0.8

    0.93

    0.73

    1:05:45 1.0

    2.6

    0.88

    2.48

    It should be noted that the term W/C used throughout this work refers to the total

    W/C as defined above.

     2.2 Actual C W   of Mortar Joint

    Owing to absorption of water by bricks, the W/C of the mortar before placing is

    different from that after placing between bricks. Therefore, while any control specimens

    (such as cubes or prisms) would be useful for indicating the relative qualities of different

    batches of mortar mixes, it should be appreciated that properties such as crushing

    strength, Young’s modulus, Poisson’s ratio, determined from such specimens may not

    bear much resemblance (except by correlation) to those of the same mortar in the

    hardened state (as a joint) between the bricks.

    A theoretical relation between the W/C’s of the control specimens and the mortar

     joint was derived by considering the amount of water absorbed from a known weight of

    fresh mortar placed between two bricks. The relationship is given by

    C W a  = W/C – k(C + L + S + W)/C (3)

    where

    C W a   = actual water/cement ratio of mortar between bricks (or of mortar joint)

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    C W    = water/cement ratio of the fresh mortar (or control specimen)

    mortaroriginalof wt.

    bricksbyabsorbedwaterof wt.=K   

    The value of k was determined experimentally. It is assumed that loss of water to theatmosphere from the bricks- mortar couplet and from the control specimen is the same.

    For 1:¼:3 mortar with W/C = 1.0

    C W a   = 1.0 – 5.25k (3a)

    Corresponding expressions for other values of C W   could be obtained similarly.

    These relationships are plotted in Figure 2. The conditions for saturated bricks and for

    bricks soaked for one minute before casting are indicated by vertical lines AB and CD

    respectively obtained from measured values of k. The intersections of these lines with

    the straight line represented by equation 3a give the values of actual water/cement ratio

    (Wa/C) for ‘saturated’ bricks and for bricks soaked for one minute.

    .

    .

    .

    .

    .

    .

    . . . . . . .

          

         

          / .

    / .

    / .

     

    Figure 2: Relationship between C W a  and K

    The respective values being 0.94 and 0.5. The indication is therefore that for

    saturated bricks, while the W/C for the control specimen is 1.0, the actual water/cement

    ratio ( C W a ) of the corresponding mortar joint would be of the order of 0.94. For bricks

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    Canadian Journal on Environmental, Construction and Civil Engineering Vol. 3, No. 3, March 2012

    soaked for one minute (or with a moisture content of about 6%) the corresponding values

    are W/C = 1.0, C W a  = 0.5. The deductions drawn from these results are as follows:-

    i. To determine properties of mortar joint, such as tensile or shear strength, realistic

    values may be directly obtained from test on brick-mortar couplets.

    ii. For elastic analysis of brick-mortar couplet or brick-work as a non-homogenous

    material, meaningful values of elastic modulus and Poisson ratio for the mortar

     joints may be obtained from tests on mortar specimens with C W    ratio value

    equal to the value of the actual water/cement ratio ( C W a ) of the mortar joint.

    3. Mechanical Properties of Bricks and Mortar 

     3.1 Compressive/Crushing Strength of Brick The maximum compressive stress of a brick-mortar prism is determined by applying a

    compressive load in the direction parallel and perpendicular to the bedding planes, hence,

    the fabricated bricks are built into a prism of different layers with constant mortar joint

    thickness. It is important to note that while these test give reasonably good indication of

    the crushing strength of brick-mortar prism for control purposes it is doubtful if they give

    the compressive strength of brick work as a basic physical property. Several research

    work on concrete specimens which can also be related to brickwork has shown that some

    important factors influences the compressive strength of specimen such as size of

    specimen, surface condition, state of stress induced in the specimen, thickness of mortar

     joint and also the testing technique. Hence the most important factor arrived at, is that

    the direct measure of the uniaxial compressive strength of concrete which gave a realistic

    value of the value for the basic property of concrete in uniaxial compression is a case

    where the height to width ratio of the prisms is greater than 2.5.

    From the foregoing, compression tests were carried out on bricks with varying

    height to width ratios in the compression machine. For the case of loading parallel single

    bricks were tested, Figure 3a while for the case of loading perpendicular to the bedding

    planes of the brick the respective H/L ratios are obtained by varying the number of bricks

    in the prisms as is shown in Figure 3b.

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    The crushing strength of the bricks were generally found to decrease with increase

    H/L ratio to a limiting value of 23.28N/mm2. This reflects the value shown in table 3.1.

    This value shows the average of the result obtain from both loading perpendicular and

    parallel to the bedding plane. The variation of brick crushing strength with H/L ratios is

    shown in Figure 4. Hence it can be observed that more realistic results would be

    obtained by loading single bricks parallel to these bedding plane.

    Table 4: Summary of crushing strength of bricks

    Number oftests

    H/L Crushing meanstrength (f b)

    ×103kN/m3 

    Range description

    10

    101010

    10

    0.32

    0.901.512.15

    2.12

    38.36

    25.1929.7124.15

    23.16

    33.92-44.33

    22.59-28.0819.26-29.8222.48-25.89

    18.69-27.25

    Type (b) 1 brick

    Type (b) 3 brickType (b) 5 brickType (b) 7 brick

    Type (a) 1 brick

     3.2 Crushing Strength of Mortar

    Compressive strength test were carried out on 20mm mortar cubes and a graphical

    representation of the results shown in Figure 3.4 for different ages of a 1:¼:3 nominal

    mix of mortar by varying the water-cement ration of the mix.

    () ()

    Figure 3: Compressive loading on brick specimens (a) Loading parallel to

    bedding planes (b) loading perpendicular to bedding plane

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    Canadian Journal on Environmental, Construction and Civil Engineering Vol. 3, No. 3, March 2012

    0

    2

    4

    6

    8

    10

    12

    14

    16

    18

    20

    0 5 10 15 20 25 30

    Age (days)

       C  r  u  s   h   i  n  g  s   t  r  e  n  g   t   h

       (  x   1   0   3   k   N   /  m   2   )

    W/c = 0.8

    W/c = 1.0

    W/c = 1.2

     Figure 4: Crushing strength of 1:¼:3 grade of mortar mix.

     3.3 Modulus of Elasticity and Poissons Ratio for Brick

    The static method was used to obtain elastic properties of brick. In order to

    produce uniaxial compression in the middle portion, single bricks were loaded in

    compression in a direction perpendicular to the bedding planes. Longitudinal

    compressive strain yε   and the corresponding lateral tensile strain ( )

     xε   were measured

    in the middle region by using suitable electrical strain gauges. By measuring the

    compression load and the strains ε y and ε x as shown on table 5, the stress-strain curves

     y

     y

    ε α 

    and x

     y

    ε α 

      can be obtained. Young’s modulus (E) and Poissons ratio (v) were

    obtained from the slopes of the linear portions of the stress-strain curves as follows.

     x

     y E 

    ε 

    α =   (4)

     x

     y

     y

     y

     y

     xv

    ε α 

    ε 

    α 

    ε ε  ==   (5)

    Table 5 shows values of Modulus of elasticity (E) and Poissons ratio (v) thus

    obtained. E1 and V1 denote values obtained from strain measurements on face 1, E2 and

    V2  correspond to values for face 2. Two sizes of bricks were tested. Type (a) is the

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    normal single brick, and type (b) is the single brick made to produce a square section

    (72mm x 72mm) perpendicular to the loading direction.The values shown in Table 5

    were obtained from test on twenty (20) specimen of bricks and the stress-strain curves

    were obtained from an average of about six sets of readings obtained by loading and

    unloading the specimen six times.

    Table 5: Summary of test result for brick units

    Description No. of

    specimens

    (x 103kN /

    m2) Fb

    (x 10 kN/m2) V1 V2 Failure

    strainE1 E2 Av.E

    10 23.10 8.83 8.14 8.49 0.09 0.08 0.0045

    10 23.18 8.76 8.89 8.83 .06 .08 0.0048

    The stress-strain curve as a result of the two cases of loading for bricks is shown

    in Figure.5. The average value for crushing strength Fb and failure strain is also shown inTable 6. The variation of modulus of elasticity Eb with the crushing strength Fb is shown

    in Figure 6 and it is seen with the best line of fit drawn, that the average relationship in

    equation (6) can be obtained between Eb and Fb with a coefficient of correlation Cr = 0.60

    =b

     E  348.51Fb (6)

    Type (a) 

    2  1 

    Normal bricks 

    2  1 

    Type b 

    Brick with squarecross-section 

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    . . . . . . . . .

      (εεεε)

                                                           (     σ     σσ     σ    )                  

                 

     Figure.5: Stress-strain curves for brick  

    .

    .

    ( )

                                                     (           )                

                 

     

    Figure 6: Variation of modulus of elasticity with crushing

    strength of bricks (40No. bricks)

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     3.4 Modulus of Elasticity and Poissons Ratio for Mortar 

    It was seen earlier that due to the absorption of water by the bricks from the fresh mortar,

    the value of the actual water/cement ratio of the mortar joint is smaller than its original

    value. In order to obtain realistic values of the Modulus of elasticity and Poisson ratio for

    the mortar joint, a 50mm x 50mm x 125mm mortar Prisms with a particular water/cement

    cured for 21 days, were tested. Both longitudinal strain yε   and lateral strain ( )

     xε   were

    measured by electrical resistance strain gauges, and stress-strain curves can be plotted for

    εy and εx. Modulus (E) and Poissons ratio (v) were calculated by using Equations 4 and 5.

    Table 6: Summary of average of test result conducted on different mix proportions

    of mortar prisms

    Mortargrade

    No. ofspecimen

    Average f rx 10

    3kN/m

    Er x 10

    6kN/m

    V Failurestrain

    1:¼:3

    1:0.5:4.51:0:6

    4

    44

    22.03

    13.104.2

    3.90

    3.450.75

    0.18

    0.180.17

    0.019

    0.02200.0090

    The compressive stress-strain curves for the mortar mix for the adopted grades of

    mortar is shown in Figure 7 while the variation of the modulus of elasticity of mortar (Er)

    with the corresponding compressive strength (f r) is shown in Figure 8.

    . . . . . .

      (εεεε)

       

                                                           (     σ       )

           (     σ       )

           (     σ       )

           (     σ       )                              

    /

    ..

     

    Figure 7: Stress-strain curve for different grade of mortar prisms

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    .

    .

    ( )

                                                        (           )                 

                   

    /

    . .

     

    Figure 8: Variation of modulus of elasticity to compressive strength for mortar

    The relationship between the stress and strain was linear while observing the

    initial portion of the stress-strain curve up to about 35 percent of the mortar strength and

    then is followed by a non-linear curve extending beyond the strain limits. The stress

    reading beyond the strain limits of the mortar prisms with of grade 1:0:6 was difficult to

    read because of the relatively low strength of these samples with a mean value of the

    failure strain equal to 0.0090. An observation of Figure 8 shows that an average

    relationship can be obtained in equation 7 by drawing a line of best fit.

    Er  = 231.11Fr  (7)

    A good correlation coefficient of 0.9 was obtained between the values of the

    experiment test results. Also it would appear that more realistic values for E for the

    mortar joint in a brickwork may be obtained by substituting the compressive strength

    value (Fr) obtained from the test cubes of mortar with water/cement ratio value equal to

    the value of the actual water/cement ratio ( C W a ) for the mortar joint given by the

    expression in equation (3). An average value of 0.177 for poisons ratio (v) can also be

    deduced from Table 6.

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    4. Mechanical Properties for Brickwork

    Elastic modulus and poisons ratio values for brickwork were obtained from compression

    test on brick-mortar prisms by maintaining a length-height ratio of about 2. The

    longitudinal and lateral strains would be obtained for cases of loading parallel and

    perpendicular to the bedding plane as to obtain the modulus of elasticity in the two

    orthogonal directions. The longitudinal and lateral strains will be measured by use of

    electrical resistance strain gauges, and similarly the modulus of elasticity (E) and the

    poisons ratio (v) values would be obtained through equation 4 and 5. Table 7 shows

    summary of values obtained from the test carried out on a number of brick-mortar prisms

    specimens. Values are obtained for compressive strength, failure strains, modulus of

    elasticity and the poission’s ratio of masonry.

    Table 7: Summary of test results on brick-mortar prisms

    Description

    of loading

    Mortar

    mix

    Number

    of

    specimen

    Compressive

    strength

    (×103kN/m

    2)

    Fm 

    Max.

    strain

    Modulus of

    elasticity

    (×106kN/m

    2)

    E

    Poisson’s

    ratio V

    Perpendicularto bedding

    plane

    1:¼:31:0:4.5

    1:0:6

    88

    8

    13.4611.54

    10.58

    0.00190.0020

    0.0047

    8.417.21

    6.61

    0.290.33

    0.36

    Parallel to

    beddingplane

    1:¼:3

    1:0:4.51:0:6

    8

    88

    8.5

    7.25.1

    0.0057

    0.00920.0086

    5.32

    4.673.21

    0.18

    0.210.28

    Note * Vyx  =  xy x

     yV 

     E 

     E 

     

      

     

     

    a

    (b)

    Figure 9: Set up for loading of brick-mortar prisms (a) perpendicularto bedding plane (b) parallel to bedding plane.

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    The stress-strain curves are plotted using the average of values obtained from test

    on 8 specimens of masonry prisms made with a specific mortar mix. The height of the

    prisms was 400mm maintaining 10mm mortar joint thickness. A general setup for

    loading in the two major directions is shown is Figure 8. The stress-strain curves for the

    masonry prisms with mortar mix of 1:¼:3 is shown in Figure 10. Similar stress-strain

    curves of masonry prisms made with other grades of mortar mix can also be obtained.

    We should note here that in most cases, failure was as a result of vertical splitting cracks

    along the depth of the prisms, when loading is perpendicular to the bedding plane while a

    relatively diagonal splitting failure is notice when loading is parallel to the bedding plane.

    It was generally noticed that the strength properties of masonry reduced as weaker mortar

    is used. The stress-strain curve was seen to be linear to an extent after which a non-

    linearity pattern is noticed. The variation of modulus of elasticity Em with compressive

    strength f m is shown in Figure 11. An average relationship can be obtained for Em and f m 

    for perpendicular and parallel loading in Figure 8 and 9 respectively, with a coefficient of

    correlation of 0.9 between the experimental value obtained from test on the masonry.

    Em1  = 634.66Fm1  (8)

    Em2  = 640.00Fm2  (9)

    It would also be observed that the worst performance was seen in the prisms with weak

    mortar joint as the compressive strength (Fm) was low with a corresponding high valuefor strain.

    . . . . . .

      (εεεε)

              

          

                       

                           (       )                

                   

        

     

    Figure 10: Stress-strain curve for brickwork

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    A study of the stress-strain curve, especially for the case of parallel loading shows that

    certain salient points are easily observed on the stress-strain prisms pattern. The strain

    values used to determine these points of interest varying with the grade of mortar used in

    the prisms, as great difficulty is observed with deriving strain values when a weak grade

    of mortar is used, especially after the near linear range; due to brick-mortar bond failure

    and inivitable sudden collapse of the test specimens.

    ( )

                                                     (             )    

                             

    ..

    /

     

    (a)

    ( )

                                                     (         

        )                             

    /

    .

     

    (b)

    Figure 11: Variation of modulus of elasticity for brickwork with corresponding

    compressive strength (a) case of perpendicular loading (b) case of parallel loading

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    Hence the following salient points are easily observed from this work and compares

    favourably with [11].

    (a) point 0.40Fm  corresponding to the limit of the region at which the stress-strain

    curve is near linear as much as possible, after which regional cracks starts

    developing suggesting non-linearity.

    (b) Point 0.75Fm  corresponding to the particular stress at which vertical splitting

    cracks are seen, but the masonry specimen still remains relatively stable.

    (c) 0.95Fm corresponds to the stress level at which the splitting cracks have reached a

    very advanced level and failure is ready to occur.

    (d) Fm  is the ultimate stress level in which the masonry is in a collapse state with a

    corresponding rapid increase in strain reaching an observable failure strain in the

    masonry.

    5. Analytical Model for prediction of Stress-strain Curves of Masonry

    Acknowledging that there exist a reasonable mathematical relationship between

    the compressive strength of masonry and the modulus of elasticity of masonry, hence

    analytically modeling to obtain f m is necessary as it is not always very feasible to conduct

    test on masonry prisms. On the other hand, the compressive strength of bricks and

    mortar (Fb  and Fr) can readily to obtained through tests. The compressive strengths of

    bricks, mortar and masonry can be properly related as proposed by Eurocode [12] by

    equation 10

     β α r bm  f Kf  f    =   (10)

    where k, α  and β  are all constants for effective relationship. Observing experimental

    stress-strain curves, f m depends on the brick strength more than the mortar strength, hence

    α must be higher than β. Conducting an unconstrained regression analysis of equation 10

    using the data obtained from our experimental study the values of 0.61, 0.51 and 0.36

    have been obtained for k, α and β respectively using the least – square fit method and the

    following equation proposed.

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    Fm = 0.6136.051.0

    r b  f  f    (11)

    The effectiveness of this relationship can be tested by the parameter λ, which represents

    the standard error of estimate. A value of λ  in equation 12 close to minimum reflects

    low scatter of the actual data from the value obtained by the regression analysis [13].

    ( )

    3

    2

    −=  ∑

    n

     f  f   Riiλ    (12)

    where f i and^

     Ri f   = ith experimentally obtained and regression estimated prism strength,

    respectively.

    n = total number of data points.

    From the experimental data a value of and 0.46 x 10

    3

    kN/m

    2

     is obtained for λ.

    6. Conclusion 

    From the foregoing the basic mechanical properties of masonry has been obtained by

    tests carried out on specimens. These mechanical properties are basic input parameters

    for the numerical modeling of masonry and infilled frame structure, noting that masonry

    is a composite material made up of brick units binded by mortar. Thus non-linear stress-

    strain curves have been obtain for masonry with salient points identified on the stress-

    strain curves with stress level of 0.40Fm  corresponding to the limit of the near linear

    region. Also simple analytical model has been proposed for prediction of the modulus of

    elasticity of masonry, to aid the numerical analysis of masonry structures. Finally,

    compressive test result obtained from test on brick units and mortar is enough to predict

    the elastic properly of masonry, as simple relationships have been obtained for obtaining

    the modulus of elasticity of bricks, mortar and masonry from their corresponding

    compressive strengths.

    References 

    1. Atkinson, R. H.; Noland, J. L.; Abrams, D.P. and McNary S., “ A deformation

     failure theory for stack-bond brick masonry prisms in compression,’’ Proc. 3rd

    NAMC, Arlington, pp. 1-18, 1985.

    2 Lourenço, P.B., “Computational strategies for masonry structure,’’  PhD-Thesis,

    Delft University of Technology, 1996, Delft University Press: Delft.

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    3. Augenti, N., ‘’ Il Calcolo Sismico Degli Edifici In Muratura’’, UTET: Turin (in

    Italian), 2004.

    4. Augenti, N. and Parisi, F., “Stress-strain relationships for yellow tuff masonry in

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    6. Knutson H. H., “The Stress-Strain Relationship for Masonry,’’  Masonry

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    7. Ali, S. & Page, A.W., “A failure criterion for mortar joints in brickwork

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    8. Hansen, K.F. & Pedersen, E.S.: Shear and Torsion Testing of Brick-mortar Joints, Masonry International, pp.31-38, 2009.

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     Ed., Philadelphia, 2001.

    11. BS 882, Part 2, “Specifications for aggregate from material source for concrete,’’

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    12 European Committee of Standardization (CEN), “Design of masonry structures,Part 1.1: General rules of buildings – Reinforced and unreinforced masonry”,

    ENV 19961.1, Eurocode 6, Brussels, Belgium, 1996.

    13 Wesolowsky, G.O., “ Multiple regression and analysis of variance”, Wiley,

    New York. 1976.