Surface Reinforced Concrete Masonry Units
20170016228 ยท 2017-01-19
Inventors
Cpc classification
E04C1/00
FIXED CONSTRUCTIONS
E04B2/20
FIXED CONSTRUCTIONS
E04B2/16
FIXED CONSTRUCTIONS
E04B2/24
FIXED CONSTRUCTIONS
International classification
E04B2/16
FIXED CONSTRUCTIONS
E04B2/24
FIXED CONSTRUCTIONS
E04C1/00
FIXED CONSTRUCTIONS
Abstract
A masonry wall is formed of masonry block units abutted with one another in series within stacked rows. Each masonry block unit is a concrete body having two opposing exterior side walls defining respective portions of the assembly masonry wall. Vertical reinforcement channels are formed in the exterior side walls of each masonry block unit so as to be open laterally to the exterior. The reinforcement channels align with corresponding channels in the masonry block units in adjacent stacked rows to receive elongate reinforcement members, for example rebar, inserted laterally therein from the exterior surface of the assembly masonry wall. A bonding material can then be recessed laterally into the reinforcement channels so as to bond the reinforcement members to the masonry assembly.
Claims
1. A masonry unit arranged for use with elongate reinforcement members in construction of a masonry wall, the masonry unit comprising: a concrete body which is elongate in a longitudinal direction between two opposing ends of the body, the concrete body further comprising: a top and a bottom which are arranged for stacking with other masonry units of identical configuration to form the masonry wall; a first exterior side wall and a second exterior side wall which are parallel and spaced apart from one another to extend in the longitudinal direction between the two opposing ends along opposing sides of the concrete body such that the first and second exterior side walls are arranged to define respective portions of opposing surfaces of the masonry wall; and at least one hollow core extending through the body between the top and the bottom of the concrete body; wherein at least one of the exterior side walls includes a reinforcement channel formed therein which extends between the top and the bottom of the body, the reinforcement channel being arranged for alignment with the reinforcement channels of said other masonry units, and the reinforcement channels being open to an exterior of the body at the exterior side wall so as to be arranged for receiving a portion of a respective one of the elongate reinforcement members therein which spans a plurality of stacked rows of masonry units when forming the masonry wall.
2. The masonry unit according to claim 1 wherein the reinforcement channel of said at least one of the exterior side walls is substantially centered in the longitudinal direction between the two opposing ends of the concrete body.
3. The masonry unit according to claim 1 wherein both the exterior side will include the channel formed therein.
4. The masonry unit according to claim 1 wherein at least one of the exterior sides includes a partial channel formed along at least one of the two opposing ends of the concrete body, the partial channel being arranged to form a reinforcement channel for vertical alignment with the reinforcement channels of said other masonry units when abutted with the partial channel of an adjacent one of said other masonry units.
5. The masonry unit according to claim 4 wherein said at least one of the exterior sides includes a partial channel formed along both of the two opposing ends of the concrete body.
6. The masonry unit according to claim 1 in combination with a spacer member of insulating material wherein at least one of the two opposing ends of the concrete body and the spacer member have a mating profile such that the spacer member is arranged to be received in abutment between the ends of two adjacent masonry units in a masonry wall.
7. The masonry unit according to claim 6 wherein: said at least one of the two opposing ends includes a recessed channel which extends between the top and the bottom of the concrete body and which is recessed longitudinally inward relative to a pair of end faces on laterally opposing sides of the recessed channel towards the first and second exterior side walls respectively; and the spacer member has two side portions and a central portion between the two side portions which is increased in thickness relative to two side portions such that the central portion is arranged to be received within respective recessed channels of two adjacent masonry units and the side portions are arranged for abutment between respective end faces of the two adjacent masonry units.
8. The masonry unit according to claim 6 wherein the spacer member has a lateral width which is narrower than the concrete body between the first and second exterior side walls.
9. The masonry unit according to claim 6 wherein: said at least one of the two opposing ends includes an end face and a partial channel formed along at least one of the exterior side walls, the partial channel being arranged to form a whole channel for vertical alignment with the reinforcement channels of said other masonry units when abutted with the partial channel of an adjacent one of said other masonry units; and the spacer member has a lateral width which is narrower than the concrete body between the first and second exterior side walls such that the partial channel is arranged to remain unobstructed by the spacer member.
10. The masonry unit according to claim 1 wherein said at least one hollow core comprises a pair of longitudinally spaced apart hollow cores separated by a web portion connected laterally between the first and second exterior side walls, and wherein the channel of said at least one of the exterior side walls is aligned longitudinally with the web portion.
11. A masonry wall comprising: a plurality of masonry units, each comprising a concrete body which is elongate in a longitudinal direction between two opposing ends of the body, the concrete body further including: i) a top and a bottom which are arranged for stacking with other masonry units of identical configuration to form the masonry wall, ii) a first exterior side wall and a second exterior side wall which are parallel and spaced apart from one another to extend in the longitudinal direction between the two opposing ends along opposing sides of the concrete body such that the first and second exterior side walls are arranged to define respective portions of opposing surfaces of the masonry wall, iii) at least one hollow core extending through the body between the top and the bottom of the concrete body, and iv) at least one reinforcement channel formed one of the exterior side walls to extend between the top and the bottom of the body and to be open laterally to an exterior of the body; the plurality of masonry units being stacked in rows with mortar between the rows such that the reinforcement channels of at least some of the masonry units are in alignment with the reinforcement channels of other ones of the masonry units; a plurality of reinforcement members received within respective ones of the reinforcement channels such that the reinforcement members each span across a plurality of the stacked rows at a location recessed laterally inwardly from a respective surface of the masonry wall defined by respective ones of the exterior side walls of the masonry units; and a bonding material received within the reinforcement channels so as to bond the reinforcement members to the masonry units.
12. The masonry wall according to claim 11 wherein the bonding material comprises mortar.
13. The masonry wall according to claim 11 wherein the bonding material comprises epoxy.
14. The masonry wall according to claim 11 wherein the reinforcement members comprise metal rods.
15. The masonry wall according to claim 11 wherein the reinforcement members comprise a glass fibre material.
16. The masonry wall according to claim 11 wherein the reinforcement members comprise a fibre reinforced polymer material.
17. (canceled)
18. A method of constructing a masonry wall comprising: providing a plurality of masonry units, each comprising a concrete body which is elongate in a longitudinal direction between two opposing ends of the body, the concrete body further including: i) a top and a bottom which are arranged for stacking with other masonry units of identical configuration to form the masonry wall, ii) a first exterior side wall and a second exterior side wall which are parallel and spaced apart from one another to extend in the longitudinal direction between the two opposing ends along opposing sides of the concrete body such that the first and second exterior side walls are arranged to define respective portions of opposing surfaces of the masonry wall, iii) at least one hollow core extending through the body between the top and the bottom of the concrete body, and v) at least one reinforcement channel formed one of the exterior side walls to extend between the top and the bottom of the body and to be open laterally to an exterior of the body; stacking the masonry units in rows with mortar between the rows such that the reinforcement channels of at least some of the masonry units are in alignment with the reinforcement channels of other ones of the masonry units in other rows; providing a plurality of reinforcement members and placing the reinforcement members within respective ones of the reinforcement channels such that the reinforcement members each span across a plurality of the stacked rows at a location recessed laterally inwardly from a respective surface of the masonry wall defined by respective ones of the exterior side walls of the masonry units; and applying a bonding material to the reinforcement channels so as to bond the reinforcement members to the masonry units.
19. The method according to claim 18 including inserting each reinforcement member laterally through openings of the respective reinforcement channels at the respective surface of the masonry wall.
20. The method according to claim 18 including inserting the bonding material laterally through the openings of the respective reinforcement channels at the respective surface of the masonry wall such that the bonding material does not protrude laterally outwardly beyond the exterior
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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[0050] In the drawings like characters of reference indicate corresponding parts in the different figures.
DETAILED DESCRIPTION
[0051] Referring to the accompanying figures, there is illustrated a masonry unit generally indicated by reference numeral 10. The masonry unit 10 is particularly suited for use in the construction of a masonry wall 12 as shown in
[0052] The wall 12 is typically constructed in a manner similar to the use of conventional concrete masonry units by abutting the units longitudinally end to end in rows with the rows being stacked one above the other. Each unit may be vertically aligned directly above a corresponding unit in the previous row therebelow, or more preferably each masonry unit 10 is offset longitudinally by half of the length of the unit relative to a corresponding unit of the previous row so that each masonry unit is engaged upon a portion of two additional masonry units therebelow in a conventional brick pattern.
[0053] Although various forms of the masonry unit 10 may be provided for various applications, such as at an intermediate location within a wall, at one end of a wall, in a wall reinforced at a single side, or in a wall reinforced on both sides. A common double-sided stretcher unit as shown in
[0054] Each masonry unit 10 according to
[0055] A first exterior side wall 26 and a second exterior side wall 28 extend longitudinally along laterally opposed sides of the body between the two opposing ends while spanning the full height between the top and bottom of the body. The exterior side walls define respective portions of the two opposing surfaces of the finished wall 12.
[0056] The body includes two hollow cores 30 formed therein at longitudinally spaced positions to extend fully through the body between the top and bottom thereof. The two hollow cores 30 are separated longitudinally by a web portion 32 which is connected between the first and second exterior side walls at a longitudinally centered location. The web portion thus extends in a lateral direction between the two opposing side walls. The web portion spans the full height between the top and bottom of the body.
[0057] Two end walls 34 are provided for enclosing the two opposing ends of the body such that one of the hollow cores is defined between the web portion 32 and each one of the two end walls 34.
[0058] Inner surfaces of the web portion, the end walls, and the exterior side walls may be formed with a slight inclination from vertical to aid in releasing the concrete body from a respective concrete mold.
[0059] The body of each masonry unit further includes a reinforcement channel 36 formed in each one of the two exterior side walls. Each reinforcement channel is longitudinally centered between the opposing ends of the body and spans the full height between the top and bottom sides of the body. Each channel is a generally U-shaped and is opened to the exterior of the body.
[0060] By being longitudinally centered, each reinforcement channel aligns laterally with the web portion 32. The web portion increases in thickness as measured in the longitudinal direction of the block from the center, laterally outward towards each of the two exterior side walls locating the reinforcement channels 36 therein to provide additional reinforcement of material about each channel.
[0061] Each end of the block further includes a partial channel 38 along the exterior sidewall at the end of the body. The partial channel is located at the intersection of the end wall and the exterior side wall so as to be open to both the end and the exterior side of the block. The partial channel 38 spans the full height between the top and bottom. The shape and depth of the partial channel 38 is arranged such that when two masonry units of identical configuration are abutted end to end using mortar (or a spacer element described further below) between the units, the resulting combination of two adjacent partial channels 38 defines a whole reinforcement channel of identical configuration to the reinforcement channels 36 at the intermediate location along each exterior side wall.
[0062] Each of the reinforcement channels, including integral channels 36 or channels formed by the abutment of two partial channels 38, is vertically aligned with corresponding reinforcement channels of masonry units stacked above and below the respective unit to form respective portions of a vertical recess spanning the height of the assembled masonry wall. In this manner, the reinforcement channels are arranged to receive the reinforcement members 14 therein such that the members span across several rows within the channels so as to be recessed inwardly relative to the resulting exterior face of the assembled masonry wall. The reinforcement channels 36 are accordingly suitably sized to receive the reinforcement members therein as well as additional bonding material 40 to bond the reinforcement members to the masonry units across several rows of units.
[0063] Each of the end walls 34 is further shaped to define a recessed channel 42 at a central location in the lateral direction such that the channel 42 spans the full height of the unit between the top and bottom thereof. The recessed channel 42 is recessed longitudinally inward relative to adjacent portions of the end face 44 defined by the end wall. Each end face 44 spans the full height and spans in the lateral direction from the recessed channel towards the respective exterior side wall of the body. When partial channels 38 are provided the end faces 44 span between the recessed channel and a respective one of the partial channels 38 at the end of the body.
[0064] In the illustrated embodiment, the masonry units 10 are used in combination with spacer members 46 in which each spacer member is abutted between the two ends of two adjacent masonry units within a respective row of the masonry wall. The spacer member comprises a body of rigid insulation having a profile which mates with the corresponding exterior profile of the end wall 34 of the body of the masonry unit 10.
[0065] More specifically, each spacer member comprises two side portions 48 and a central portion 50 located between the two side portions in the lateral direction such that all three portions span the full height of a single masonry unit. The central portion 50 is suitably sized to be received within the recessed channels 42 of two adjacent masonry units abutted on either side of the spacer member. The two side portions are reduced in thickness in the longitudinal direction of the masonry units so as to be suitable for abutment with the corresponding end faces 44 on either side of the recessed channels 42.
[0066] The overall width of the spacer member in the lateral direction between opposing exterior sides of the masonry units is arranged to be less than the body of the masonry units such that the opposing ends of each spacer member are recessed inwardly relative to the exterior surface of the exterior side walls in the finished masonry wall construction. More particularly the spacer member terminates at opposing ends adjacent the innermost portion of the partial channels 38 such that the spacer member does not protrude into or obstruct the resultant reinforcement channel 36 formed by the abutment of two partial channels 38. In this manner, the reinforcement channel assembled from two partial channels remains unobstructed to allow the respective portion of the reinforcement member to be received therein while also permitting the spacer body to be hidden within the wall when covered by the reinforcement member and/or corresponding mortar or other finishing bonding material at the exterior or the masonry wall.
[0067] Construction of a masonry wall using the unit 10 typically involves initially applying a layer of levelling grout upon which a first row of masonry units are positioned in a longitudinally end-to-end abutted relationship with spacer members 46 or mortar being received between each adjacent pair of masonry units. Each subsequent row of masonry units is stacked on the previous row by first applying a layer of mortar across the tops of the masonry units of the previous row followed by another row of longitudinally aligned end-to-end abutted masonry units.
[0068] In the preferred arrangement, each masonry unit is offset by half the length of a unit relative to corresponding units of the previous row such that each reinforcement channel 36 is vertically aligned with a corresponding reinforcement channel formed by two partial channels 38 in the previous row therebelow. Likewise each reinforcement channel formed by the abutment of two partial channels in the current row is vertically aligned directly above a corresponding integral reinforcement channel of the previous row therebelow. The hollow cores are similarly vertically aligned with the hollow cores of units of the previous rows.
[0069] Subsequent to the stacking of the masonry units in the form of the masonry wall, the reinforcement members are recessed into one or both exterior faces of the masonry wall by being received within respective reinforcement channels with each reinforcement member spanning across multiple rows of units. The reinforcement members are retained within the respective reinforcement channels using the bonding material 40, which is also recessed into the channels relative to the exterior surface of the assembled wall structure. In this manner, the bonding material covers the reinforcement members within the interior of the assembled wall structure as well as covering any spacer members 46 which were used in abutment between adjacent masonry units.
[0070] The reinforcement members may take various forms including steel rods, glass fiber rods, fiber reinforced polymer rods or any other suitable elongate member having sufficient tensile strength to reinforce the assembled masonry wall structure.
[0071] Similarly, the bonding material may take various forms. For example, the bonding material may comprise mortar, epoxy, or other curable resins and the like.
[0072] The reinforcement members may be provided in all reinforcement channels at one or both sides of the assembled wall, or alternatively only at selected channels longitudinally spaced apart as required to meet strength requirements.
[0073] The masonry unit described above with regard to
[0074] Alternatively, if it is clear the reinforcement is only required at one of the two surfaces of the masonry wall, a single-sided masonry unit as shown in
[0075] In yet a further consideration, where it is desired for the finished masonry wall to terminate at a free end, a bullnose masonry unit may be provided as shown in
[0076] In this instance, a plurality of half blocks 90 are also typically provided, as shown in
Relationship Between Compressive Resistance and Moment Resistance
[0077] The following sections illustrate the potential strength of walls constructed of surface reinforced masonry units compared to those made from conventional hollow masonry units.
TABLE-US-00001 TABLE 1 Variable Value Value justification A.sub.e (effective cross sectional area of varies Varies according to the masonry per 1 m length of wall) percentage of cores that are grouted A.sub.s (total cross sectional area of steel 300 mm.sup.2 Dictated by the reinforcement rebar per 1 m length of wall) ratio () A.sub.st (cross sectional area of steel rebar 150 mm.sup.2 Dictated by the reinforcement near the tension face of the wall per 1 m ratio () length of wall) A.sub.sc (cross sectional area of steel rebar 150 mm.sup.2 Dictated by the reinforcement near the compression face of the wall ratio () per 1 m length of wall) b (effective width of the test wall 1000 mm Typically used for analysis section) b.sub.w (effective width of the grouted cores 400 mm Consistent with 2 grouted in partially grouted walls per width b) cores per meter width of wall c (depth from the compression face of varies Varies from 0 to infinity in the wall to the neutral axis) order to construct the P.sub.r-M.sub.r diagrams C.sub.m (compression force from masonry varies Varies depending on the rectangular stress block) design and the depth to neutral axis (c) C.sub.mf1 (compression force from masonry varies Varies depending on the rectangular stress block in the face shell design and the depth to near the compressive face of the wall) neutral axis (c) C.sub.mf2 (compression force from masonry varies Varies depending on the rectangular stress block in the face shell design and the depth to near the tension face of the wall) neutral axis (c) C.sub.mw (compression force from masonry varies Varies depending on the rectangular stress block in the grouted design and the depth to cores of the wall) neutral axis (c) C.sub.s (force in the steel rebar near the varies Varies depending on the compression face of the wall) design and the depth to neutral axis (c) d (depth to reinforcing steel for 95 mm Centre of masonry unit conventional units) d.sub.1 (depth to reinforcing steel on the 10 mm Varies depending on design compression face of the surface reinforced units) d.sub.2 (depth to reinforcing steel on the 180 mm Varies depending on design tension face of the surface reinforced units) E.sub.s (Modulus of elasticity of steel rebar) 200,000 MPa S304.1-04 6.5.1 f.sub.m (masonry compressive strength) 10 MPa Typical value for general use masonry f.sub.y (yield strength of steel rebar) 400 MPa S304.1-04 10.2.3 f.sub.st (stress in steel rebar at centre line or varies Varies according to the strain near the tension face of the wall) in the steel (.sub.st) f.sub.sc (stress in steel rebar near the varies Varies according to the strain compression face of the wall) in the steel (.sub.sc) M.sub.r (moment resistance of a masonry varies Varies depending on the wall, per width b) design and the depth to neutral axis (c) P.sub.r (compressive resistance of a varies Varies depending on the masonry wall, per width b) design and the depth to neutral axis (c) t (wall thickness) 190 mm Typical block type for general use T (force in the steel rebar in the varies Varies depending on the centreline of the wall or near the tension design and the depth to face) neutral axis (c) t.sub.f (thickness of the masonry unit face 32 mm Typical (Hatzinikolas 2005) shell) .sub.1 (ratio of depth of rectangular 0.8 S304.1-04 10.2.6 compression block to depth of neutral axis) .sub.m (maximum usable masonry strain) 0.003 S304.1-04 10.2.2 .sub.st (strain in steel rebar at centreline or varies Varies depending on the near the tension face of the wall) design and the depth to neutral axis (c) .sub.sc (strain in steel rebar near the varies Varies depending on the compression face of the wall) design and the depth to neutral axis (c) (reinforcement ratio) 0.158% Arbitrary amount allowed by S304.1-04 .sub.s (steel rebar resistance factor) 0.85 S304.1-04 4.3.2.2 .sub.m (masonry resistance factor) 0.6 S304.1-04 4.3.2.1 (factor used to account for direction of 1.0 For out of plane vertical compressive stress in a masonry bending S304.1-04 10.2.6 member relative to the direction used for the determination of f.sub.m)
Table 2 explains the shorthand used to identify the various configurations of masonry walls analysed for the purposes of this section of the text.
TABLE-US-00002 TABLE 2 SR Surface reinforced masonry units C Conventional masonry units UT Steel reinforcement not tied T Steel reinforcement tied UR Unreinforced (no steel reinforcement) G Fully grouted cores PG Partially grouted cores UG Ungrouted (no cores grouted)
Example: SR/UT/G means the wall is composed of surface reinforce masonry units (SR) reinforced with steel rebar that is not tied (UT) and fully grouted (G).
[0078] First will be discussed configurations in which all the cores in the wall are filled with grout (SR/UT/G, C/UT/G, SR/T/G, C/T/G and C/UR/G). For the cases where the reinforcing steel is not tied and when no reinforcing steel is used, the maximum factored compressive resistance (P.sub.r(max)) is calculated as:
P.sub.r(max)=0.80(0.85.sub.mf.sub.mA.sub.e)S304.1-04 10.4.1/7.4
[0079] For the cases where the reinforcing steel is tied, P.sub.r(max) is calculated as:
P.sub.r(max)=0.80(0.85.sub.mf.sub.m(A.sub.eA.sub.s)+.sub.sf.sub.yA.sub.s)S304.1-04 10.4.2
[0080] Factored compressive resistance (P.sub.r) and moment resistance (M.sub.r) must satisfy conditions of equilibrium and compatibility of strain (S304.1-04 10.1.1). For grouted CMU walls to satisfy conditions of equilibrium of forces, the following equation must be satisfied:
P.sub.r=C.sub.mT
[0081] Where:
[0082] C.sub.m=.sub.m0.85f.sub.mb.sub.1C is the compressive force in the masonry (S304.1-04 10.2.6).
[0083] and
[0084] T=.sub.sf.sub.stA.sub.s is the tension force in the steel rebar. Where f.sub.st=min{.sub.stE.sub.s;f.sub.y} is the tension stress in the steel rebar and A.sub.s is the cross-sectional area of the steel rebar (S304.1-04 10.2.3).
[0085] For grouted CMU walls to satisfy conditions of equilibrium of moments the following equation must be satisfied:
M.sub.r=C.sub.m*(t/2.sub.1C/2)T*(t/2d)
[0086] For grouted CMU walls to satisfy conditions of compatibility of strain the following equation must be satisfied:
.sub.m/c=.sub.st/(cd)
[0087] For grouted SRCMU walls to satisfy conditions of equilibrium of forces the following equation must be satisfied:
P.sub.r=C.sub.m+C.sub.sT
[0088] Where:
[0089] C.sub.m=.sub.m0.85f.sub.mb.sub.1C is the compressive force in the masonry (S304.1-04 10.2.6).
[0090] C.sub.s=.sub.sf.sub.scA.sub.sc is the compressive force in the steel rebar. Where f.sub.sc=min{(.sub.scE.sub.s;f.sub.y} is the compressive stress in the steel rebar and A.sub.sc is the cross-sectional area of the steel rebar near the compression face (S304.1-04 10.2.3).
[0091] and
[0092] T=.sub.sf.sub.stA.sub.st is the tension force in the steel rebar. Where f.sub.st=min{.sub.stE.sub.s;f.sub.y} is the tension stress in the steel rebar and A.sub.st is the cross-sectional area of the steel rebar near the tension face (S304.1-04 10.2.3).
[0093] For grouted SRCMU walls to satisfy conditions of equilibrium of moments the following equation must be satisfied:
M.sub.r=C.sub.m*(t/2.sub.1C/2)+C.sub.s*(t/2d1)T*(t/2d2)
[0094] For grouted SRCMU walls to satisfy conditions of compatibility of strain the following equation must be satisfied:
.sub.m/c=.sub.sc/(cd.sub.1)=.sub.st/(cd.sub.2)
[0095]
[0096] Considering partially grouted configurations in which only a portion of the cores in the wall are filled with grout (SR/UT/PG, C/UT/PG, SR/T/PG and C/T/PG), for the cases where the reinforcing steel is not tied and when no reinforcing steel is used, P.sub.r(max) is calculated as:
P.sub.r(max)=0.80(0.85.sub.mf.sub.mA.sub.e)S304.1-04 10.4.1/7.4
[0097] For the cases where the reinforcing steel is tied, P.sub.r(max) is calculated as:
P.sub.r(max)=0.80(0.85.sub.mf.sub.m(A.sub.eA.sub.s)+.sub.sf.sub.yA.sub.s)S304.1-0410.4.2
[0098] Factored compressive resistance (P.sub.r) and moment resistance (M.sub.r) must satisfy conditions of equilibrium and compatibility of strain (S304.1-04 10.1.1). For partially grouted CMU walls to satisfy conditions of equilibrium of forces, the following equation must be satisfied:
P.sub.r=C.sub.mf1+C.sub.mw+C.sub.mf2T
[0099] Where:
[0100] C.sub.mf1=min{.sub.m0.85f.sub.mb.sub.1C; .sub.m0.85f.sub.mbt.sub.f} is the compressive force in the face shell near the compressive face of the wall (S304.1-04 10.2.6).
[0101] C.sub.mw=min{.sub.m0.85f.sub.mb.sub.w(t2t.sub.f); max {0; .sub.m0.85f.sub.mb(.sub.1Cb.sub.f)}} is the compressive force in the grouted cores of the wall (S304.1-04 10.2.6).
[0102] C.sub.mf2=max{0; .sub.m0.85f.sub.mb(.sub.1Ct+t.sub.f)} is the compressive force in the face shell near the tension face of the wall (S304.1-04 10.2.6).
[0103] T=.sub.sf.sub.stA.sub.s is the tension force in the steel rebar. Where fst=min{(stEs;fy} is the tension stress in the steel rebar and A.sub.s is the cross-sectional area of the steel rebar (S304.1-04102.3).
[0104] For partially grouted CMU walls to satisfy conditions of equilibrium of moments the following equation must be satisfied:
M.sub.r=C.sub.mf1*(t/2min{.sub.1C/2;t.sub.f/2})+C.sub.mw*(max{t/2(.sub.1Ct.sub.f)/2;0})+C.sub.mf2*(.sub.1Ct.sub.f/2)+C.sub.s*(t/2d.sub.1)T*(t/2d.sub.2)
[0105] For partially grouted CMU wall to satisfy conditions of compatibility of strain the following equation must be satisfied:
.sub.m/c=.sub.st(cd)
[0106] For partially grouted SRCMU walls to satisfy conditions of equilibrium of forces the following equation must be satisfied:
P.sub.r=C.sub.mf1+C.sub.mw+C.sub.mf2+C.sub.sT
[0107] Where:
[0108] C.sub.mf1=min{.sub.m0.85f.sub.mb.sub.1C; (.sub.m0.85f.sub.mbt.sub.f} is the compressive force in the face shell near the compressive face of the wall (S304.1-04 10.2.6).
[0109] C.sub.mw=min{.sub.m0.85f.sub.mb.sub.w(t2t.sub.f); max {0; .sub.m0.85f.sub.mb(.sub.1Ct.sub.f)}} is the compressive force in the grouted cores of the wall (S304.1-04 10.2.6).
[0110] C.sub.mf2=max{0; .sub.m0.85f.sub.mb(.sub.1Ct+t.sub.f)} is the compressive force in the face shell near the tension face of the wall (S304.1-04 10.2.6).
[0111] C.sub.s=.sub.sf.sub.scA.sub.sc is the compressive force in the steel rebar. Where f.sub.sc=min{(.sub.scE.sub.s;f.sub.y} is the compressive stress in the steel rebar and A.sub.sc is the cross-sectional area of the steel rebar near the compression face (S304.1-04 10.2.3).
[0112] T=.sub.sf.sub.stA.sub.st is the tension force in the steel rebar. Where f.sub.st=min{.sub.stE.sub.s;f.sub.y} is the tension stress in the steel rebar and A.sub.st is the cross-sectional area of the steel rebar near the tension face (S304.1-04 10.2.3).
[0113] For partially grouted SRCMU walls to satisfy conditions of equilibrium of moments:
M.sub.r=C.sub.mf1*(t/2min{.sub.1C/2;tf/2})+C.sub.mw*(max{t/2(.sub.1Ct.sub.f)/2;0})+C.sub.mf2*((.sub.1Ct.sub.f)/2)+C.sub.s*(t/2d1)T*(t/2d2)
[0114] For partially grouted SRCMU walls to satisfy conditions of compatibility of strain:
.sub.m/c=.sub.sc/(cd.sub.1)=.sub.st/(cd.sub.2)
[0115]
[0116] Considering ungrouted configurations in which none of the cores in the wall are filled with grout (SR/UT/UG, SR/T/UG and C/UR/UG), for the cases where the reinforcing steel is not tied and when no reinforcing steel is used, P.sub.r(max) is calculated as:
P.sub.r(max)=0.80(0.85.sub.mf.sub.mA.sub.e)S304.1-04 10.4.1/7.4
[0117] For the cases where the reinforcing steel is tied, P.sub.r(max) is calculated as:
P.sub.r(max)=0.80(0.85.sub.mf.sub.m(A.sub.eA.sub.s)+.sub.sf.sub.yA.sub.s)S304.1-04 10.4.2
Factored compressive resistance (P.sub.r) and moment resistance (M.sub.r) must satisfy conditions of equilibrium and compatibility of strain (S304.1-04 10.1.1). For ungrouted CMU walls to satisfy conditions of equilibrium of forces, the following equation must be satisfied:
P.sub.r=C.sub.mf1+C.sub.mf2
[0118] Where:
[0119] C.sub.mf1=min{.sub.m0.85f.sub.mb.sub.1C; .sub.m0.85f.sub.mbt.sub.f} is the compressive force in the face shell near the compressive face of the wall (S304.1-04 10.2.6).
[0120] C.sub.mf2=max{0; .sub.m0.85f.sub.mb(.sub.1Ct+t.sub.f)} is the compressive force in the face shell near the tension face of the wall (S304.1-04 10.2.6).
[0121] For ungrouted CMU walls to satisfy conditions of equilibrium of moments the following equation must be satisfied:
M.sub.r=C.sub.mf1*(t/2min{.sub.1C/2;t.sub.f/2})+C.sub.mf2*((.sub.1Ct.sub.f)/2)
[0122] There is no need to check compatibility of strain for C/UR/UG since there is only one material. For ungrouted SRCMU walls to satisfy conditions of equilibrium of forces the following equation must be satisfied:
P.sub.r=C.sub.mf1+C.sub.mf2+C.sub.sT
[0123] Where:
[0124] C.sub.mf1=min{.sub.m0.85f.sub.mb.sub.1C; .sub.m0.85f.sub.mbt.sub.f} is the compressive force in the face shell near the compressive face of the wall (S304.1-04 102.6).
[0125] C.sub.mf2=max{0; .sub.m0.85f.sub.mb(.sub.1Ct+t.sub.f)} is the compressive force in the face shell near the tension face of the wall (S304.1-04 10.2.6).
[0126] C.sub.s=.sub.sf.sub.scA.sub.sc is the compressive force in the steel rebar. Where f.sub.sc=min{.sub.scE.sub.s;f.sub.y} is the compressive stress in the steel rebar and A.sub.sc is the cross-sectional area of the steel rebar near the compression face (S304.1-04 10.2.3).
[0127] T=.sub.sf.sub.stA.sub.st is the tension force in the steel rebar. Where f.sub.st=min{.sub.stE.sub.s;f.sub.y} is the tension stress in the steel rebar and A.sub.st is the cross-sectional area of the steel rebar near the tension face (S304.1-04 10.2.3).
[0128] For ungrouted SRCMU walls to satisfy conditions of equilibrium of moments the following equation must be satisfied:
M.sub.r=C.sub.mf1*(t/2min{.sub.1C/2;t.sub.f/2})+C.sub.mf2*((.sub.1Ct.sub.f)/2)+C.sub.s*(t/2d.sub.1)T*(t/2-d.sub.2)
[0129] For ungrouted SRCMU walls to satisfy conditions of compatibility of strain the following equation must be satisfied:
.sub.m/c=.sub.sc/(cd.sub.1)=.sub.st/(cd2)
[0130]
Distribution of Strain Under Axial Loading
[0131] It is common practice to test the strength of masonry units by testing prisms made from two masonry units stacked one on top of the other with a single mortar bed between them. The
[0132] A linear elastic material model was used to represent both the masonry unit and the mortar. The material properties of the masonry units and mortar bed are shown in Table 3. Typical values were obtained from Drysdale (2005). The effect of self-weight of the units and mortar was neglected.
TABLE-US-00003 TABLE 3 Masonry unit Mortar Young's 8500 MPa Young's 4250 MPa modulus modulus Poisson ratio 0.2 Poisson ratio 0.18
[0133] Specifications of the numerical model are shown in Table 4. Both prism models were subjected to an axial pressure of 10 MPa with the prisms confined at the top and bottom surfaces (typical of laboratory conditions).
TABLE-US-00004 TABLE 4 Specification Value Number of nodes Approx. 18,000 Number of elements Approx. 13,000 Boundary conditions Displacement x, y, z: at z = 0 (prism base) fixed Rotation x, y, z: fixed Boundary conditions Displacement x, y: at z = 390 mm (top of fixed prism) Uniform pressure: 10 MPa Interface condition Fully bonded between masonry and mortar
[0134]
[0135]
[0136]
Physical Testing Axial Compressive Behaviour
[0137] Testing of physical specimens were conducted to compare the behaviour of stack bonded masonry prisms constructed of conventionally shaped hollow concrete masonry blocks to those constructed of SRCMUs under axial compressive stresses. 5 masonry prisms were constructed using SRCMUs produced in laboratory, 3 prisms were constructed of conventionally shaped masonry blocks produced in laboratory (LPCMU), and 3 prisms were constructed from commercially available conventional hollow concrete blocks (CCMU). All specimens (four blocks high each) were constructed on the same day by a skilled mason.
[0138] To ensure that they had reached their maximum load-carrying capacity, all eleven specimens were tested to failure, more than 28 days after they had been produced.
[0139]
[0140] An analysis of the modes of failure observed during the compression testing of masonry prisms has yielded three different modes of failure; vertical splitting of the web, vertical splitting of the face shell, and diagonal splitting of the face shell. These three modes of failure were observed to some extent in all eleven masonry specimens tested.
[0141] Neither the analysis of the strength of the masonry prisms nor their modes of failure suggest that a significant difference in compressive behaviour exists between conventional hollow masonry blocks and SRCMUs.
Physical Testing Development of Reinforcement Stresses
[0142] In order for a reinforcing bar to allow a masonry system to develop its required flexural strength, the reinforcing bars must be properly anchored. In order for a reinforcing system to be practicable, adequate anchorage of reinforcing bars must be achievable within a short distance.
[0143] A pull out test was devised in order to determine the bond characteristics as well as the modes of failure of SRCMU systems reinforced with steel rebar or with Fibre Reinforced Polymer (FRP) reinforcing bars. For this test, reinforcing bars were mechanically pulled out from three-high stack-bonded SRCMU prisms into which they had been installed using epoxy grout. The reinforcing bars were fitted with instrumentation to determine the distribution of forces within the bars as they were being puled out.
[0144] Six specimens were constructed for this test; 3 specimens were reinforced using 10M steel rebar, and 3 specimens were constructed using 9.5 mm FRP reinforcing bars. Each reinforcing bar was fitted with six strain gauges at intervals of 100 mm in order to accurately quantify the distribution of forces within the bars during loading.
[0145] The full test set-up is shown in
[0146]
[0147] The lower force at which the GFRP bars pulled out of the masonry specimens is due to the lower modulus of elasticity (higher flexibility) of the material, which causes stresses to concentrate more near the free end of the bar on which the force is applied; this causes the bond between the bar and the concrete to fall progressively away from the applied force.
[0148] Also of note is that the yield stress (value used for engineering design) of the steel bars was achieved with no significant damage to the specimens. It can therefore be said that the yield strength of the 10M steel bar was developed within 600 mm (the height of the pull-out specimens). This compares well with the length required to develop the strength of steel rebar with masonry grout from CSA S304.1, which for a common grout strength of f.sub.gr=10 MPa and no modification factors would be.
l.sub.d=0.45*k.sub.1k.sub.2k.sub.3(f.sub.y/f.sub.gr.sup.2)d.sub.b
l.sub.d=0.45*1*1*(400 MPa/(10 MPa).sup.2)10 mm
l.sub.d=570 mm
Physical Testing, Flexural Behaviour
[0149] To simulate the behaviour of an SRCMU system under flexural loading conditions, six specimens were constructed to be tested in four-point loading conditions. The configuration of the specimens is illustrated in
[0150] Using the approach from CSA S304.1 and removing the material factors, the failure load of the specimens can be estimated:
Assumptions:
[0151] Equilibrium of forces C.sub.r=T.sub.r [0152] Sufficient development length is provided to develop the full tensile strength for the reinforcing materials.
For Steel Reinforced Specimens:
Tension Resistance:
[0153]
T.sub.r=A.sub.sf.sub.y
Compression Resistance:
[0154]
C.sub.r=f.sub.m0.85ab+f.sub.sA.sub.s
TABLE-US-00005 Symbol Value Source f.sub.m Masonry compressive strength = 20 MPa Compression testing f.sub.y Steel yield strength = 400 MPa Material data sheet f.sub.s Stress in compression steel = variable A.sub.s Steel reinforcement cross sectional Material data sheet area = 100 mm.sup.2 A.sub.s Compression steel reinforcement cross- Material data sheet sectional area = 100 mm.sup.2 b Width of rectangular stress Measured block = 180 mm a Depth of rectangular stress block = variable M.sub.r Moment resistance of the prism = variable d Distance from top of prism to tension Measured reinforcement = 170 mm
C.sub.r=T.sub.r
f.sub.m0.85ab+f.sub.sA.sub.s=A.sub.sf.sub.y
a=(Trf.sub.sAs)/(f.sub.m0.85b)
a=14.7 mm
M.sub.r=T.sub.r*(da/2)
M.sub.r=6.5 kNm
Total load=2*Mr/0.33 m
Total load=39.4 kN
For FRP Reinforced Specimens:
Tension Resistance:
[0155]
T.sub.rA.sub.frpf.sub.r
Compression Resistance:
[0156]
C.sub.r=f.sub.m0.85ab+f.sub.sA.sub.frp
TABLE-US-00006 Symbol Value Source f.sub.m Masonry compressive strength = 20 MPa Compression testing f.sub.r FRP rupture strengths = 1100 MPa Material data sheet f.sub.s FRP compression stress = variable A.sub.frp FRP reinforcement cross sectional Material data sheet area = 71.3 mm.sup.2 A.sub.frp Compression FRP reinforcement cross Material data sheet sectional area = 71.3 mm.sup.2 b Width of rectangular stress Measured block = 180 mm a Depth of rectangular stress block = variable M.sub.r Moment resistance of the prism = variable d Distance from top of prism to tension Mesaured reinforcement = 170 mm
C.sub.r=T.sub.r
f.sub.m0.85ab+f.sub.sA.sub.frp=T.sub.r
a=(Trf.sub.sA.sub.frp)/(f.sub.m0.85b)
a=24.4 mm
M.sub.r=T.sub.r*(da/2)
M.sub.r=12.3 kNm
Total load=2*Mr/0.33 m
Total load=75.0 kN
[0157] The high flexural resistance of the specimens being tested resulted in all 6 specimens failing in diagonal tension (also known as shear). However, the observed strength of the specimens nonetheless compare well with anticipated results.
[0158] A similar behaviour can be observed in the steel reinforced specimens as shown in
[0159]
[0160] The following references referred to in the above description are incorporated herein by reference. [0161] CSA (2004) CSA S304.1-04 (R2010) Design of Masonry Structures, Canadian Standards Association, Mississauga, Ontario [0162] Drysdale R G, Hamid A A (2005) Masonry Structures Behaviour and Design Canadian Edition. Canadian Masonry Design Centre, Mississauga, Ontario [0163] Hatzinikolas M A, Korany Y (2005) Masonry Design for Engineers and Architects. Canadian Masonry Publications, Edmonton, Alberta
[0164] Since various modifications can be made in my invention as herein above described, it is intended that all matter contained in the accompanying specification shall be interpreted as illustrative only and not in a limiting sense.