Torsion testing devices and methods

10408724 ยท 2019-09-10

Assignee

Inventors

Cpc classification

International classification

Abstract

A torsional testing device for testing helical tensile strength, shear strength, and interface bond shear strength using an apparatus to apply torsional loads on a cylindrical specimen is provided. A plurality of slings is wrapped in opposed circular directions around the specimen. A connecting bar is coupled to a first end of each of the slings. A second end of each of the slings is coupled to a frame. A conventional compression load testing machine applies a compressive load to the connecting member causing the slings to apply rotational forces to the specimen in opposite senses creating torsional stresses. Rotational forces are transmitted to the cylindrical specimen due to friction between the slings and the surface of the specimen being tested. The amount of force applied to the specimen is measured so that the torsional strength of different specimens can be compared.

Claims

1. A torsional testing device for an essentially cylindrical sample comprising: a frame having opposed sides; at least a first and a second sling supporting at least a portion of the sample at opposed ends of the sample, each of the slings wrapped about at least a portion of the sample in an opposed direction; a connecting member having a proximal and a distal end and positioned on an outer perimeter surface of the sample; one first portion of the first sling affixed to the connecting member at the proximal end and one first portion of the second sling affixed to the connecting member at the distal end; one second portion of the first sling affixed to one side of the box-shaped frame and one second portion of the second sling affixed to an opposed side of the box-shaped frame; a tangential force applicator normal to a longitudinal axis of the connecting member, the force applicator applying rotational forces to the sample in opposite directions creating increasing torsional stresses to the sample.

2. The torsional testing device of claim 1, wherein the tangential force applicator creates opposed torque on the sample by the application of pressure in a downward direction through the connecting member.

3. The torsional testing device of claim 2, wherein the tangential force applicator is a uniaxial compression loading machine.

4. The torsional testing device of claim 1, wherein the first and second slings are flexible.

5. The torsional testing device of claim 4, wherein the first and second slings are chain-like.

6. The torsional testing device of claim 1, wherein the one first portion of the first sling affixed to the connecting member at the proximal end and the one first portion of the second sling affixed to the connecting member at the distal end are permanently affixed to the connecting member.

7. The torsional testing device of claim 1, wherein the essentially cylindrical sample is concrete.

8. The torsional testing device of claim 1, wherein the first and second slings have a sling length such that when attached to the connecting member and the frame, the sample is fully supported by the slings.

9. The torsional testing device of claim 1, wherein the first and second slings are in contacting engagement about an interior side.

10. The torsional testing device of claim 1, wherein the first and second slings are not in contacting engagement about an interior side.

11. A method of testing an essentially cylindrical sample comprising the steps of: inserting the essentially cylindrical sample into a torsional testing device; and applying a tangential force normal to a longitudinal axis of the sample, the tangential force generating rotational forces in the sample in opposite directions creating increasing torsional stresses to the sample, the torsional testing device comprising: a frame having opposed sides; at least a first and a second sling supporting at least a portion of the sample at opposed ends of the sample, each of the slings wrapped about at least a portion of the sample in an opposed direction; a connecting member having a proximal and a distal end and positioned on an outer perimeter surface of the sample; one first portion of the first sling affixed to the connecting member at the proximal end and one first portion of the second sling affixed to the connecting member at the distal end; one second portion of the first sling affixed to one side of the box-shaped frame and one second portion of the second sling affixed to an opposed side of the box-shaped frame; a tangential force applicator normal to a longitudinal axis of the connecting member, the force applicator applying rotational forces to the sample in opposite directions creating increasing torsional stresses to the sample.

12. The method of claim 11, wherein the tangential force applicator creates opposed torque on the sample by the application of pressure in a downward direction through the connecting member.

13. The method of claim 12, wherein the tangential force applicator is a uniaxial compression loading machine.

14. The process of claim 11, wherein the first and second slings are flexible.

15. The process of claim 14, wherein the first and second slings are chain-like.

16. The process of claim 11, wherein the one first portion of the first sling affixed to the connecting member at the proximal end and the one first portion of the second sling affixed to the connecting member at the distal end are permanently affixed to the connecting member.

17. The process of claim 11, wherein the essentially cylindrical sample is concrete.

18. The process of claim 11, wherein the first and second slings have a sling length such that when attached to the connecting member and the frame, the sample is fully supported by the slings.

19. The process of claim 11, wherein the first and second slings are in contacting engagement about an interior side.

20. The process of claim 11, wherein the first and second slings are not in contacting engagement about an interior side.

Description

BRIEF DESCRIPTION OF THE FIGURES

(1) The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate certain aspects of the instant invention and together with the description, explain, without limitation, the principles of the invention. Like reference characters used therein indicate like parts throughout the several drawings.

(2) FIG. 1A is a prior art compression test to measure the compressive strength of a concrete sample;

(3) FIG. 1B is an illustration of a failed concrete sample of FIG. 1A;

(4) FIG. 2A is an illustration of a prior art split tension test to measure tensile strength of a concrete sample;

(5) FIG. 2B is an illustration of a failed concrete specimen of FIG. 2A;

(6) FIG. 3A is an illustration of a prior art flexural strength test to measure the bending strength of a concrete sample;

(7) FIG. 3B is an illustration of a failed concrete sample of FIG. 3A;

(8) FIG. 4A is an illustration of a prior art Iosipescu shear test on a concrete sample;

(9) FIG. 4B is an illustration of a failed concrete sample of FIG. 4A;

(10) FIG. 5 is an exploded view of the torsion test apparatus illustrating wire mesh slings, steel frame, steel bar with rectangular cross-section and concrete cylindrical specimen;

(11) FIG. 6 is a perspective view of the torsional testing device of the present application, showing a specimen supported by a plurality of slings, according to one aspect;

(12) FIG. 7 is a perspective view of the torsional testing device of FIG. 6, in which a concrete compression testing machine is applying a load to the device;

(13) FIG. 8 is a perspective view of the torsional testing device of FIG. 6, in which a specimen has been tested to failure and wherein the specimen failed under helical tensile stress due to the applied torsion;

(14) FIG. 9 is a perspective view of the specimen of FIG. 8 where the helical tensile failure is shown;

(15) FIG. 10 is a perspective view of the torsional testing device of FIG. 6, in which alternate force arrows are illustrated and wherein the arrows indicate the application of loads using bars or other parts, such as elongated metallic members, to apply the torque and to create the stresses to measure the helical tensile strength, shear strength, or bonding strength;

(16) FIG. 11 is a top view of the notched specimens that can be used to test shear strength wherein the notch induces antiplane shear stresses in the plane defined by the circular notch allowing to directly test shear strength;

(17) FIG. 12 is a perspective view of cored specimens made of two concrete types bonded at the interface, and wherein the apparatus can be used to measure the interface shear strength between the two different concretes;

(18) FIGS. 13A and 13B are perspective views of the two configurations for the wire mesh slings: without a gap between the wire mesh slings and with a gap between the wire mesh slings and for which the unnotched specimensthe testing is performed with a gap between the parallel wire mesh slings for notched specimens, and the testing is performed without a gap between the parallel wire mesh slings for unnotched specimens; and

(19) FIG. 14 is an illustration of potential torsional failure surfaces, a pure shear (Mode III) failure in ductile materials; and a tensile (Mode I) failure in brittle materials, e.g., concrete, mortar, and plaster of Paris.

DETAILED DESCRIPTION OF THE INVENTION

(20) The present invention can be understood more readily by reference to the following detailed description, examples, and claims, and their previous and following description. Before the present system, devices, and/or methods are disclosed and described, it is to be understood that this invention is not limited to the specific systems, devices, and/or methods disclosed unless otherwise specified, as such can, of course, vary. It is also to be understood that the terminology used herein is for the purpose of describing particular aspects only and is not intended to be limiting.

(21) The following description of the invention is provided as an enabling teaching of the invention. Those skilled in the relevant art will recognize that many changes can be made to the aspects described, while still obtaining the beneficial results of the present invention. It will also be apparent that some of the desired benefits of the present invention can be obtained by selecting some of the features of the present invention without utilizing other features. Accordingly, those who work in the art will recognize that many modifications and adaptations to the present invention are possible and can even be desirable in certain circumstances and are a part of the present invention. Thus, the following description is provided as illustrative of the principles of the present invention and not in limitation thereof.

(22) As used herein, the singular forms a, an and the include plural referents unless the context clearly dictates otherwise. Thus, for example, reference to a sling includes aspects having two or more slings unless the context clearly indicates otherwise.

(23) Ranges can be expressed herein as from about one particular value, and/or to about another particular value. When such a range is expressed, another aspect includes from the one particular value and/or to the other particular value. Similarly, when values are expressed as approximations, by use of the antecedent about, it will be understood that the particular value forms another aspect. It will be further understood that the endpoints of each of the ranges are significant both in relation to the other endpoint, and independently of the other endpoint.

(24) As used herein, the terms optional or optionally mean that the subsequently described event or circumstance may or may not occur, and that the description includes instances where said event or circumstance occurs and instances where it does not.

(25) Terms used herein, such as exemplary or exemplified, are not meant to show preference, but rather to explain that the aspect discussed thereafter is merely one example of the aspect presented.

(26) Presented herein is a torsional testing device that allows direct application of torsion in cylindrical specimens of any material using a conventional compression load testing machine. In one aspect, the device can apply torsional forces to the specimen to test torsional stresses in the specimen.

(27) As used herein, Applied torque may be calculated by at least the formula:

(28) T = P 2 c

(29) As used herein helical tensile strength, helical tensile stress, shear strength, shear stress, interface strength, and interface stress may be calculated by at least the formula:

(30) max = Tc J J = c 4 2 max = f helical = f tensile = shear = interface = P 2 c .Math. c .Math. 2 c 4 = P c 2

(31) With reference to FIGS. 6-10, the torsional testing device 10 comprises at least a plurality of slings 12 and a connecting member 14 that couples a portion of the plurality of slings together.

(32) The plurality of slings 12 can each be a configured to wrap around a portion of a perimeter of a specimen 16. For example, the sling can be a mesh metallic sling formed with a chain-like structure. Optionally, the sling 12 can be a strap or belt formed from a polymeric material like nylon and the like, or a natural material such as leather. That is, the slings can be an element flexible in two dimensions and having a fixed length, such as a chain, belt and the like. As used herein, the term sling means any device having a fixed length capable of wrapping around at least a portion of the specimen such that the sling can frictionally engage the specimen.

(33) In one aspect, the plurality of slings 12 can have a sling width. For example, the sling width can be selected so that a predetermined portion of the specimen 16 is engaged by the slings. In another aspect, the plurality of slings has a sling length selected so that, when wrapped around the specimen as described below, the specimen 16 can be supported by the slings 12. In a further aspect, the plurality of slings has a first end 22, a second end 24 and a central portion 26 extending between the first end and the second end. Optionally, the plurality of slings comprises at least a first sling 18 and a second sling 20.

(34) The connecting member 14 can be an elongate rigid member having a distal end 28, a proximal end 30 and a central portion 32 extending between the distal end and the proximal end. The connecting member can be formed from a metallic material, such as, for example and without limitation, steel. In one aspect, the connecting member 14 can be sized so that the connecting member is not deformable under a testing load, described more fully below.

(35) In one aspect, the torsional testing device 10 can further comprise a frame 34. The frame can be a rigid structure having a frame height greater than the diameter of the specimen 16, so that when in use as described below, the slings 12 can hang from the frame with the specimen fully supported by the slings (that is, so the specimen 16 does not touch any portion of the frame or a testing machine 36). In another aspect, the frame 34 can be sized so that the frame is not deformed under a testing load, described more fully below.

(36) To assemble the torsional testing device 10, the first end 22 of the first sling 18 can be securely attached to the proximal end 30 of the connecting member 14, and the first end of the second sling 20 can be securely attached to the distal end 28 of the connecting member. In one aspect, the slings 12 can be securely attached to the connecting member 14 by welding them together. Other attachment means between the slings and the connecting member, such as a pinned connection, bonding, clamping, sewing and the like are also contemplated. In one aspect, the second end 24 of the first sling 18 can be securely attached to a portion of the frame 34, and the second end of the second sling 20 can be securely attached to a portion of the frame. The slings 12 can be securely attached to the frame by welding them together. Other attachment means between the slings and the frame 34, such as bonding, clamping, sewing and the like are also contemplated.

(37) In use, the connecting member 14 can be positioned on an outer perimeter surface 38 of the specimen 16 and the slings 12 can be wrapped around at least a portion of the specimen in opposed circular directions. That is, the first sling 18 can be wrapped around at least a portion of the specimen in a clockwise direction, and the second sling 20 can be wrapped around at least a portion of the specimen 16 in a counter-clockwise direction. Optionally, this can be reversed so that the first sling 18 can be wrapped around at least a portion of the specimen in a counter-clockwise direction, and the second sling 20 can be wrapped around at least a portion of the specimen 16 in a clockwise direction.

(38) In one aspect, each sling 12 can be wrapped around a portion of the perimeter of the specimen 16 subtended by a predetermined angle. The predetermined angle can be, for example, an angle of about 10, about 20, about 30, 40, about 45, about 50, about 60, 70, about 80, about 90, about 100, 110, about 120, about 130, about 135, 140, about 150, about 160, about 170, 180, about 190, about 200, about 210, 220, about 225, about 230, about 240, 250, about 260, about 270, about 280, about 290, about 300, about 310, about 315, about 320, about 330, about 340, about 350, about 360, or any other desired angle. In another example, the predetermined angle can be 360, plus an additional amount. Thus, in one aspect, each sling 12 can be wrapped around a portion of the perimeter of the specimen 16. In another aspect, each sling can be wrapped around the entire perimeter of the specimen. In still another aspect, each sling 12 can be wrapped around the perimeter of the specimen 16 more than one time. For example, each sling can be wrapped around the perimeter of the specimen multiple times.

(39) In a further aspect, each of the first sling 18 and the second sling 20 can be wrapped around the perimeter of the specimen 16 the same amount. Alternatively, the first sling can be wrapped around the specimen a different amount than the second sling. For example, the first sling 18 can be wrapped around the specimen 16 a first distance and the second sling 20 can be wrapped around the specimen 16 a second distance that is greater than or less than the first distance. Each sling 12 can have a sling length so that, when the second end 24 of each sling is securely attached to the frame 34 or other rigid structure, the specimen is suspended by the slings. That is, the specimen 16 can hang from the slings 12.

(40) The torsional testing device 10 with the specimen 16 loaded in the slings 12 as described above can be positioned on a conventional compression load testing machine 36 such that the connecting member 14 is positioned between the specimen 16 and the force applicator 40. Compressive load is applied from the testing machine in such a way that the slings 12 can apply rotational forces (torques) to the specimen 16 in opposite senses creating, therefore, increasing torsional stresses. That is, rotational forces from the first sling 18 can be applied to the specimen in a first rotational direction, and rotational forces from the second sling can be applied to the specimen 16 in a second rotational direction that is opposed to the first rotational direction. Torsional forces can be transmitted to the cylindrical specimen due to friction between the slings 12 and the surface of the specimen being tested. The magnitude of the friction and the magnitude of the applied torsion can grow according to the externally applied load from the compression testing machine 34. This friction created follows approximately Eytelwein's formula (belt friction formula or capstan formula) and, as the downward central load grows, symmetrical axial torsional force develops in the specimen due to the tensioned slings 12.

(41) The amount of force applied to the specimen 16 can be measured so that the torsional strength of different specimens can be compared. For example, the force required to cause failure among different specimens can be compared. In one aspect, the symmetrical torsional forces applied can induce a helical failure of the specimen (this brittle helix-like failure occur in concrete and mortar due to tensile stresses that develop at 450 of the cylinder axis). As a result, the specimen can fail as shown in FIGS. 8 and 9, with a helix forming at, approximately, 45 of the axial directionas indicated by the arrows in FIG. 9.

(42) FIG. 11 illustrates antiplane shear using a notched specimen. The same apparatus and setup can be used to test notched concrete cylindrical specimens as unnotched specimens. With the circular notches, stresses are concentrated in the notched circular section and antiplane shear occurs. This can be used to analyzed mode III fracture (antiplane shear fracture).

(43) As illustrated in FIG. 12, the shear strength of bonded concrete can also be measured to measure the interface bond in concrete repairs. The wire mesh slings can be adjusted to the core sizes and the cores can be tested using the same approach as the previously described cylindrical specimens.

(44) The type of measured shear focuses on whether there is a gap between the slings as better illustrated in FIGS. 13A and 13B. If no gap exists between the mesh slings, FIG. 13A, i.e., the lower edge of the upper mesh sling is aligned with the upper edge of the lower mesh sling, antiplane shear can be applied in unnotched or notched cylindrical specimens. With a gap between the slings, FIG. 13B, helical tensile strength, shear strength and interface shear strength between bonded layers is measured.

(45) The torsional testing device 10 can be applied to cylindrical specimens made of any material, including granular materials such as concrete, mortar, and any cement-based granular material. In addition, the device can be used to apply torsion to any standardized concrete cylinder dimension; hence, the same concrete specimens already commonly used in concrete industry for standard compression (direct uniaxial compression) and tension tests (splitting tension tests) can now also be used for tests in torsion. That is, the torsional testing device allows a direct measurement of concrete helical tensile strength, and shear strength (in notched and unnotched specimens) using standardized concrete cylindrical specimen: 36 in. (75150 mm), 48 in. (100200 mm), or 612 in. (150300 mm) for example. The testing device also allows a direct measurement of shear strength in interfaces of bonded concrete layers using cylindrical cored specimens.

(46) In another aspect, alternatively, in use, a load can be applied to a portion of the slings 12 in a direction tangent to the specimen 16, as illustrated by the arrows in FIG. 10. In this aspect, force need not be applied to the connecting member 14 by the testing machine. Instead, the tangential force applied to the slings can cause the slings 12 to apply rotational forces (torques) to the specimen 16 in opposite senses creating increasing torsional stresses as described above.

(47) In the following table, mixtures are indicated in the first column (Mix.), Mix. 1 is plaster of Paris, and Mix. 2, 3, 4, 5, and 6 are concretes with different strengths (f.sub.c). Sample numbers are in the second column (Sample) and the type of material is also indicated: plaster or concrete (third columnType). The nominal sizes of the cylinders used in the tests, diameter and length, in millimeters are listed in column nom. Size (mm). Strength of concretes, for each concrete mixture, is indicated in Megapascals (MPa), column f.sub.c (MPa). Applied loads P in the tests, in kN, and the type of test, tensile or antiplane shear, are also indicated: columns Applied load and Type of test. The real measured radius c of each cylinder tested, in millimeters, is also indicated. From the radius, the polar moment of inertia of the circular cross section J can be calculated: J=0.5 () c.sup.4. With the applied load P and the radius of each specimen the torque T is computed T=0.5 P c. The maximum stress, tensile helical or antiplane shear, can be calculated: f.sub.helical=f.sub.tensie=f.sub.shear=T c/J=0.5 P c.Math.c/(0.5 c.sup.4)=P/(c.sup.2)column Max. stress f.sub.hel (MPa). For the concrete mixtures, the results are also indicated as a percentage of the concrete compressive strength, column % f.sub.c. Mean values, standard deviation, and coefficient of variation for each mix are indicated in the last three columns. Mixture 6, samples 66 to 75, were tested under antiplane shear (no gap between the slings, FIG. 13A: samples 66 to 70) and helical tensile (samples 71 to 75) stresses.

(48) TABLE-US-00001 TABLE I (Results obtained with 75 tests with plaster of Paris (samples 1-5) and concrete (samples 6-75) specimens.) Applied nom. size f.sub.c load - P Type of Radius c J Torque Mix. Sample Type (mm) (MPa) (kN) test (mm) (mm.sup.4) (kN .Math. mm) 1 1 plaster 75 150 8.28 tensile 38.5 3.451E+06 159.448 2 75 150 8.62 38.5 3.451E+06 165.993 3 75 150 8.67 38.5 3.451E+06 166.840 4 75 150 8.99 38.5 3.451E+06 173.135 5 75 150 9.25 38.5 3.451E+06 178.005 2 6 concr. 75 150 38.40 19.67 tensile 38.5 3.451E+06 378.667 7 75 150 19.84 38.5 3.451E+06 381.939 8 75 150 20.45 38.5 3.451E+06 393.566 9 75 150 20.69 38.5 3.451E+06 398.321 10 75 150 22.34 38.5 3.451E+06 429.968 11 75 150 22.72 38.5 3.451E+06 437.341 12 75 150 23.39 38.5 3.451E+06 450.181 13 100 200 40.72 50.8 1.046E+07 1034.237 14 75 150 24.58 38.5 3.451E+06 473.107 15 75 150 24.58 38.5 3.451E+06 473.107 16 75 150 24.92 38.5 3.451E+06 479.787 17 75 150 25.59 38.5 3.451E+06 492.646 18 75 150 25.71 38.5 3.451E+06 494.937 19 75 150 26.47 38.5 3.451E+06 509.471 3 20 concr. 75 150 43.40 17.47 tensile 38.5 3.451E+06 336.240 21 75 150 18.21 38.5 3.451E+06 350.466 22 75 150 19.26 38.5 3.451E+06 370.794 23 75 150 19.82 38.5 3.451E+06 381.554 24 75 150 19.89 38.5 3.451E+06 382.844 25 75 150 20.63 38.5 3.451E+06 397.166 26 75 150 20.75 38.5 3.451E+06 399.361 27 75 150 21.00 38.5 3.451E+06 404.250 28 100 200 36.68 50.8 1.046E+07 931.621 29 75 150 22.74 38.5 3.451E+06 437.668 30 75 150 23.38 38.5 3.451E+06 450.065 31 75 150 23.70 38.5 3.451E+06 456.302 32 75 150 24.41 38.5 3.451E+06 469.873 33 75 150 24.56 38.5 3.451E+06 472.799 34 75 150 24.65 38.5 3.451E+06 474.474 35 75 150 24.67 38.5 3.451E+06 474.936 36 75 150 24.68 38.5 3.451E+06 474.994 37 75 150 24.71 38.5 3.451E+06 475.648 38 75 150 24.90 38.5 3.451E+06 479.344 39 75 150 25.08 38.5 3.451E+06 482.829 40 100 200 43.98 50.8 1.046E+07 1117.041 41 75 150 25.50 38.5 3.451E+06 490.914 42 75 150 25.87 38.5 3.451E+06 498.055 43 75 150 26.63 38.5 3.451E+06 512.589 44 75 150 26.63 38.5 3.451E+06 512.705 45 75 150 27.00 38.5 3.451E+06 519.692 46 75 150 28.60 38.5 3.451E+06 550.492 47 75 150 28.74 38.5 3.451E+06 553.187 48 75 150 29.26 38.5 3.451E+06 563.332 49 75 150 29.53 38.5 3.451E+06 568.453 4 50 concr. 75 150 44.30 16.03 tensile 38.5 3.451E+06 308.539 51 75 150 17.12 38.5 3.451E+06 329.599 52 75 150 19.18 38.5 3.451E+06 369.157 53 75 150 22.25 38.5 3.451E+06 428.351 54 75 150 22.73 38.5 3.451E+06 437.572 55 100 200 39.63 50.8 1.046E+07 1006.704 5 56 concr. 75 150 56.00 22.51 tensile 38.5 3.451E+06 414.045 57 75 150 22.64 38.5 3.451E+06 435.801 58 75 150 27.82 38.5 3.451E+06 535.535 59 75 150 28.12 38.5 3.451E+06 541.291 60 75 150 28.27 38.5 3.451E+06 544.121 61 75 150 28.73 38.5 3.451E+06 552.976 62 75 150 28.88 38.5 3.451E+06 555.921 63 75 150 29.93 38.5 3.451E+06 576.210 64 100 200 52.76 50.8 1.046E+07 1340.079 65 75 150 31.23 38.5 3.451E+06 601.120 5 66 concr. 75 150 44.29 24.21 antiplane 38.1 3.310E+06 461.120 67 75 150 24.60 38.1 3.310E+06 468.667 68 75 150 24.74 38.1 3.310E+06 471.239 69 75 150 25.77 38.1 3.310E+06 490.835 70 75 150 30.70 38.1 3.310E+06 584.743 71 75 150 22.54 tensile 38.1 3.310E+06 429.328 72 75 150 24.62 38.1 3.310E+06 468.928 73 75 150 24.72 38.1 3.310E+06 470.950 74 75 150 26.81 38.1 3.310E+06 510.722 75 75 150 30.08 38.1 3.310E+06 572.975 Max. stress f.sub.hel. Coef. var. Mix. Sample (MPa) % f.sub.c Mean Std. dev. (%) 1 1 1.779 1.882 0.079 4.22 2 1.852 3 1.861 4 1.931 5 1.986 2 6 4.224 11.00 5.009 0.519 10.36 7 4.261 11.10 8 4.391 11.43 9 4.444 11.57 10 4.797 12.49 11 4.879 12.71 12 5.022 13.08 13 5.022 13.08 14 5.278 13.74 15 5.278 13.74 16 5.352 13.94 17 5.496 14.31 18 5.521 14.38 19 5.684 14.80 3 20 3.751 8.64 5.144 0.703 13.67 21 3.910 9.01 22 4.136 9.53 23 4.257 9.81 24 4.271 9.84 25 4.431 10.21 26 4.455 10.27 27 4.510 10.39 28 4.524 10.42 29 4.883 11.25 30 5.021 11.57 31 5.090 11.73 32 5.242 12.08 33 5.274 12.15 34 5.293 12.20 35 5.298 12.21 36 5.299 12.21 37 5.306 12.23 38 5.347 12.32 39 5.386 12.41 40 5.424 12.50 41 5.477 12.62 42 5.556 12.80 43 5.718 13.18 44 5.720 13.18 45 5.798 13.36 46 6.141 14.15 47 6.171 14.22 48 6.284 14.48 49 6.342 14.61 4 50 3.442 7.77 4.298 0.644 14.98 51 3.677 8.30 52 4.118 9.30 53 4.779 10.79 54 4.881 11.02 55 4.889 11.04 5 56 4.620 8.25 5.958 0.683 11.46 57 4.862 8.68 58 5.974 10.67 59 6.038 10.78 60 6.070 10.84 61 6.169 11.02 62 6.202 11.07 63 6.428 11.48 64 6.508 11.62 65 6.706 11.97 5 66 5.308 11.98 5.702 0.589 10.33 67 5.395 12.18 68 5.424 12.25 69 5.650 12.76 70 6.731 15.20 71 4.942 11.16 5.647 0.625 11.07 72 5.398 12.19 73 5.421 12.24 74 5.879 13.27 75 6.595 14.89

(49) TABLE-US-00002 TABLE II (Average properties, statistical analysis, and comparison with the split tension test.) f.sub.c Type of mean f.sub.hel. Coef. var. f.sub.split f.sub.hel./f.sub.split MIX. Type (MPa) test (MPa) Std. dev. (%) (MPa) (%) 1 plaster tensile 1.882 0.079 4.22 1.462 28.710 2 concrete 38.40 tensile 5.009 0.519 10.36 4.186 19.660 3 concrete 43.40 tensile 5.144 0.703 13.67 3.467 48.384 4 concrete 44.30 tensile 4.298 0.644 14.98 4.215 1.950 5 concrete 56.00 tensile 5.958 0.683 11.46 4.530 31.524 6 concrete 44.29 antiplane 5.702 0.589 10.33 4.117 38.496 tensile 5.647 0.625 11.07 37.170

(50) The above Table lists average properties of the mixtures used in Table I. The splitting tensile strength of each mixture used is also listedf.sub.split (MPa)and compared to values obtained for helical failurecolumn f.sub.hel/f.sub.split (%).

(51) Although several aspects of the invention have been disclosed in the foregoing specification, it is understood by those skilled in the art that many modifications and other aspects of the invention will come to mind to which the invention pertains, having the benefit of the teaching presented in the foregoing description and associated drawings. It is thus understood that the invention is not limited to the specific aspects disclosed hereinabove, and that many modifications and other aspects are intended to be included within the scope of the appended claims. Moreover, although specific terms are employed herein, as well as in the claims that follow, they are used only in a generic and descriptive sense, and not for the purposes of limiting the described invention.