TWI808455B - Establishment method of quantitative model of water consumption and admixture consumption in concrete proportioning - Google Patents
Establishment method of quantitative model of water consumption and admixture consumption in concrete proportioning Download PDFInfo
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 title claims abstract description 127
- 238000000034 method Methods 0.000 title claims abstract description 18
- 239000004576 sand Substances 0.000 claims abstract description 90
- 239000000463 material Substances 0.000 claims abstract description 39
- 239000002245 particle Substances 0.000 claims abstract description 15
- 239000004570 mortar (masonry) Substances 0.000 claims description 32
- 239000003638 chemical reducing agent Substances 0.000 claims description 6
- 230000014759 maintenance of location Effects 0.000 claims description 6
- 238000005029 sieve analysis Methods 0.000 claims description 4
- 238000005259 measurement Methods 0.000 claims description 3
- 238000006243 chemical reaction Methods 0.000 claims description 2
- 238000004364 calculation method Methods 0.000 description 3
- 239000004568 cement Substances 0.000 description 2
- 238000013461 design Methods 0.000 description 2
- 239000010881 fly ash Substances 0.000 description 2
- 239000004575 stone Substances 0.000 description 2
- 239000000654 additive Substances 0.000 description 1
- 230000000996 additive effect Effects 0.000 description 1
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- 238000005516 engineering process Methods 0.000 description 1
- 239000011521 glass Substances 0.000 description 1
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- 238000004519 manufacturing process Methods 0.000 description 1
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- 238000002360 preparation method Methods 0.000 description 1
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Abstract
一種混凝土配比中水用量及外加劑用量的量化模型的建立方法，包含以下步驟：透過步驟(a)至步驟(h)建立出一個基於至少一組膠結材料用量預設參數且包括多組第二迴歸方程式的混凝土配比中水用量及外加劑用量的量化模型。本發明透過該步驟(a)至該步驟(h)建立出該混凝土配比中水用量及外加劑用量的量化模型，該量化模型可以在預設出的膠結材料用量預設參數及設定出的坍流度額定值下，將用水用量、外加劑用量及砂粒總表面積值進行數理上的系統化聯結，來推算出在預設的混凝土工作性下的水及外加劑的用量，進而控制混凝土的工作性及混凝土的抗壓強度。A method for establishing a quantitative model of water consumption and admixture consumption in concrete proportioning, comprising the following steps: establishing a quantitative model of water consumption and admixture consumption in concrete proportioning based on at least one set of preset parameters of cementing material consumption through steps (a) to step (h) and including multiple sets of second regression equations. The present invention establishes a quantitative model of the amount of water and admixture in the concrete proportioning through the steps (a) to (h). The quantitative model can mathematically and systematically link the amount of water, the amount of admixture, and the total surface area of sand particles under the preset parameters of the amount of cementing material and the set rated value of slump to calculate the amount of water and admixture under the preset workability of the concrete, and then control the workability of the concrete and the compressive strength of the concrete.
Description
本發明是有關於一種混凝土配比設計方法，特別是指一種混凝土配比中水用量及外加劑用量的量化模型的建立方法。The invention relates to a concrete proportioning design method, in particular to a method for establishing a quantitative model of water consumption and admixture consumption in concrete proportioning.
目前在設計新拌混凝土配比時，為使混凝土具有良好的工作性，例如流動性、穩定性、凝聚性、均勻性等，操作者會透過調整混凝土中的水用量及外加劑用量來使混凝土具有符合要求的工作性。然而，由於外加劑的種類及性質、混凝土中的水用量及外加劑用量間有著強烈的交互作用而會相互影響著混凝土的工作性，且現今技術中對混凝土的水用量及外加劑用量是透過操作者的實務經驗來決定，但這種根據實務經驗而非嚴謹的量化方法來決定混凝土中水用量及外加劑用量的情況，往往會導致所配製出的混凝土的工作性不符合所需，而雖然操作者可透過經驗試誤法來不斷修正混凝土的配比，但由於這樣的處理方式既不精準更無時效可言，因此，在生產的實務上是不容許以試誤法去做調整的。At present, when designing the proportion of fresh concrete, in order to make the concrete have good workability, such as fluidity, stability, cohesion, uniformity, etc., the operator will adjust the amount of water and admixture in the concrete to make the concrete meet the requirements. However, due to the strong interaction between the type and nature of the admixture, the amount of water in the concrete and the amount of the admixture, the workability of the concrete will be mutually affected, and the water amount and the amount of the admixture in the concrete are determined based on the practical experience of the operator in the current technology. Constantly revise the proportion of concrete, but because such a processing method is neither accurate nor time-sensitive, it is not allowed to adjust by trial and error in production practice.
因此，為解決上述的現有技術之問題，本發明的目的，即在提供一種混凝土配比中水用量及外加劑用量的量化模型的建立方法。Therefore, in order to solve the above-mentioned problems in the prior art, the object of the present invention is to provide a method for establishing a quantitative model of water consumption and admixture consumption in concrete proportioning.
於是，本發明混凝土配比中水用量及外加劑用量的量化模型的建立方法，包含以下步驟： (a) 依據一外加劑的種類定義出一組細骨材的細度模數範圍，再依據該細骨材的細度模數範圍預設出至少一組膠結材料用量預設參數； (b) 依據該至少一組膠結材料用量預設參數預設出多組水用量預設參數，再於每一組水用量預設參數下預設出多組外加劑用量預設參數； (c) 依據每一組外加劑用量預設參數分別配製出相對應的一組具有細骨材組分的砂漿樣品，且該等砂漿樣品中的細骨材組分彼此相同，並經由量測得到每一組砂漿樣品相對應的坍流度預設值； (d) 於每一組水用量預設參數下根據所對應的該等外加劑用量預設參數與該等坍流度預設值建立出一組第一迴歸方程式，每一組水用量預設參數下相對應的該第一迴歸方程式由多個資料點所建立，且每一個資料點是由外加劑用量預設參數與相對應的坍流度預設值所建立； (e) 設定多組坍流度額定值，並將該等坍流度額定值帶入每一組水用量預設參數所對應的該第一迴歸方程式中，計算出於每一組水用量預設參數下該等坍流度額定值所分別對應的該外加劑的用量預設值； (f) 提供每一組砂漿樣品中的細骨材組分所對應的一組砂粒總表面積值，於每一組水用量預設參數下依據該砂粒總表面積值及該外加劑的體積，計算出該水用量預設參數下的每一組坍流度額定值所對應的砂裹外加劑厚度值，該砂裹外加劑厚度值定義為每一粒砂粒被外加劑包裹的厚度； (g) 於每一組水用量預設參數下依據水的體積及該細骨材組分的砂粒總表面積值，計算出該水用量預設參數下的每一組坍流度額定值所對應的砂裹水厚度值，該砂裹水厚度值定義為每一粒砂粒被水包裹的厚度；及 (h) 於每一組坍流度額定值下根據該等水用量預設參數所分別對應的該等砂裹外加劑厚度值與該等砂裹水厚度值建立出一組第二迴歸方程式，即得到一個基於該膠結材料用量預測參數且包括多組第二迴歸方程式的混凝土配比中水用量及外加劑用量的量化模型。 Thus, the method for establishing a quantified model of water consumption and admixture consumption in concrete proportioning of the present invention comprises the following steps: (a) Define a group of fineness modulus ranges of fine aggregates based on the type of admixture, and then preset at least one set of cementing material dosage preset parameters according to the fineness modulus range of the fine aggregates; (b) preset multiple sets of water consumption preset parameters based on the at least one set of cementing material dosage preset parameters, and then preset multiple sets of admixture dosage preset parameters under each set of water consumption preset parameters; (c) Prepare a corresponding set of mortar samples with fine aggregate components according to each set of preset parameters of the amount of admixture, and the fine aggregate components in these mortar samples are identical to each other, and obtain the corresponding preset value of slump fluidity for each set of mortar samples through measurement; (d) Establish a set of first regression equations under each set of preset parameters of water consumption according to the corresponding preset parameters of admixture dosage and the preset values of slump fluidity. The first regression equation corresponding to each set of preset parameters of water consumption is established by multiple data points, and each data point is established by the preset parameters of admixture dosage and the corresponding preset value of slump fluidity; (e) Set multiple sets of rated values of slump fluidity, and bring these rated values of slump fluidity into the first regression equation corresponding to each set of preset parameters of water consumption, and calculate the preset values of the amount of the admixture corresponding to the rated values of slump fluidity under each set of preset parameters of water consumption; (f) Provide a set of total surface area values of sand particles corresponding to the fine aggregate components in each group of mortar samples, and calculate the thickness value of the sand-coated admixture corresponding to each set of slump fluidity ratings under the preset parameters of water consumption according to the total surface area value of the sand particles and the volume of the admixture under each set of preset parameters of water consumption. (g) According to the volume of water and the total surface area value of sand grains of the fine aggregate component under each set of preset parameters of water consumption, calculate the water-wrapped sand thickness value corresponding to each set of slump fluidity ratings under the preset parameters of water consumption, and the water-wrapped sand thickness value is defined as the thickness of each sand grain wrapped by water; and (h) Under each set of rated slump fluidity values, a set of second regression equations is established according to the thickness values of the sand-coated admixture and the thickness values of the sand-coated water corresponding to the preset parameters of the water consumption, so as to obtain a quantitative model of water consumption and admixture consumption in concrete proportioning based on the cementing material consumption prediction parameters and including multiple sets of second regression equations.
本發明的功效在於：本發明透過該步驟(a)至該步驟(h)建立出該混凝土配比中水用量及外加劑用量的量化模型，該量化模型可以在預設出的膠結材料用量預設參數及設定出的坍流度額定值下，將用水用量、外加劑用量及砂粒總表面積值進行數理上的系統化聯結，也就是說，該量化模型能在預設的混凝土工作性下，透過水用量、外加劑用量、砂用量及砂粒的粗細度等參數的聯結來推算出水及外加劑的用量，進而控制混凝土的工作性及混凝土的抗壓強度。The effect of the present invention is that: the present invention establishes a quantitative model of the amount of water and admixture in the concrete proportioning through the step (a) to the step (h). The quantitative model can systematically link the amount of water, the amount of admixture, and the total surface area of sand grains under the preset parameters of the amount of cementing material and the rated value of slump. The amount of water and admixtures can be calculated by combining parameters such as the thickness of sand particles, and then control the workability of concrete and the compressive strength of concrete.
於本文中，所述「量化模型」的用語等同於「混凝土配比中水用量及外加劑用量的量化模型」。In this article, the term "quantitative model" is equivalent to "quantitative model of water consumption and admixture consumption in concrete proportioning".
於本文中，所述「細骨材」是指粒徑範圍介於0.075mm至4.75mm的砂粒。Herein, the "fine aggregate" refers to sand particles with a particle size ranging from 0.075 mm to 4.75 mm.
本發明混凝土配比中水用量及外加劑用量的量化模型的建立方法，包含以下步驟： (a) 依據一外加劑的種類定義出一組細骨材的細度模數範圍，再依據該細骨材的細度模數範圍預設出一組膠結材料用量預設參數； (b) 依據該膠結材料用量預設參數預設出多組水用量預設參數，再於每一組水用量預設參數下預設出多組外加劑用量預設參數； (c) 依據每一組外加劑用量預設參數分別配製出相對應的一組具有細骨材組分的砂漿樣品，且該等砂漿樣品中的細骨材組分彼此相同，並經由量測得到每一組砂漿樣品相對應的坍流度預設值； (d) 於每一組水用量預設參數下根據所對應的該等外加劑用量預設參數與該等坍流度預設值建立出一組第一迴歸方程式，每一組水用量預設參數下相對應的該第一迴歸方程式由多個資料點所建立，且每一個資料點是由外加劑用量預設參數與相對應的坍流度預設值所建立； (e) 設定多組坍流度額定值，並將該等坍流度額定值帶入每一組水用量預設參數所對應的該第一迴歸方程式中，計算出於每一組水用量預設參數下該等坍流度額定值所分別對應的該外加劑用量預設值； (f) 提供每一組砂漿樣品中的細骨材組分所對應的一組砂粒總表面積值，於每一組水用量預設參數下依據該砂粒總表面積值及該外加劑的體積，計算出該水用量預設參數下的每一組坍流度額定值所對應的砂裹外加劑厚度值，該砂裹外加劑厚度值定義為每一粒砂粒被外加劑包裹的厚度； (g) 於每一組水用量預設參數下依據水的體積及該細骨材組分的砂粒總表面積值，計算出該水用量預設參數下的每一組坍流度額定值所對應的砂裹水厚度值，該砂裹水厚度值定義為每一粒砂粒被水包裹的厚度；及 (h) 於每一組坍流度額定值下根據該等水用量預設參數所分別對應的該等砂裹外加劑厚度值與該等砂裹水厚度值建立出一組第二迴歸方程式，即得到一個基於該膠結材料用量預測參數且包括多組第二迴歸方程式的混凝土配比中水用量及外加劑用量的量化模型。 The method for establishing the quantitative model of water consumption and admixture consumption in concrete proportioning of the present invention comprises the following steps: (a) Define the fineness modulus range of a group of fine aggregates according to the type of an admixture, and then preset a set of preset parameters for the amount of cementing material according to the fineness modulus range of the fine aggregate; (b) Preset multiple sets of water consumption preset parameters based on the cementing material usage preset parameters, and then preset multiple sets of admixture dosage preset parameters under each set of water usage preset parameters; (c) Prepare a corresponding set of mortar samples with fine aggregate components according to each set of preset parameters of the amount of admixture, and the fine aggregate components in these mortar samples are identical to each other, and obtain the corresponding preset value of slump fluidity for each set of mortar samples through measurement; (d) Establish a set of first regression equations under each set of preset parameters of water consumption according to the corresponding preset parameters of admixture dosage and the preset values of slump fluidity. The first regression equation corresponding to each set of preset parameters of water consumption is established by multiple data points, and each data point is established by the preset parameters of admixture dosage and the corresponding preset value of slump fluidity; (e) Set multiple sets of slump fluidity ratings, and bring these slump fluidity ratings into the first regression equation corresponding to each set of water consumption preset parameters, and calculate the admixture dosage preset values corresponding to the slump fluidity ratings under each set of water consumption preset parameters; (f) Provide a set of total surface area values of sand particles corresponding to the fine aggregate components in each group of mortar samples, and calculate the thickness value of the sand-coated admixture corresponding to each set of slump fluidity ratings under the preset parameters of water consumption according to the total surface area value of the sand particles and the volume of the admixture under each set of preset parameters of water consumption. (g) According to the volume of water and the total surface area value of sand grains of the fine aggregate component under each set of preset parameters of water consumption, calculate the water-wrapped sand thickness value corresponding to each set of slump fluidity ratings under the preset parameters of water consumption, and the water-wrapped sand thickness value is defined as the thickness of each sand grain wrapped by water; and (h) Under each set of rated slump fluidity values, a set of second regression equations is established according to the thickness values of the sand-coated admixture and the thickness values of the sand-coated water corresponding to the preset parameters of the water consumption, so as to obtain a quantitative model of water consumption and admixture consumption in concrete proportioning based on the cementing material consumption prediction parameters and including multiple sets of second regression equations.
在該步驟(a)中，該外加劑的種類沒有特別限制，例如但不限於減水劑且該減水劑的減水率無需特別限制。舉例來說，在本發明的一種實施態樣中，是依據減水率大於15%的減水劑先定義出細骨材的細度模數範圍為2.9至3.1後，再依據該細骨材的細度模數範圍預設出一組膠結材料用量預設參數，該膠結材料用量預設參數例如但不限於400kg/m 3、450kg/m 3或500kg/m 3，後續再經由該步驟(b)至(h)即可基於該膠結材料用量預設參數對應得到一個混凝土配比中水用量及外加劑用量的量化模型。在本發明的另一種實施態樣中，是依據減水率小於15%的減水劑先定義出細骨材的細度模數範圍為2.5至2.8後，再依據該細骨材的細度模數範圍預設出一組膠結材料用量預設參數，該膠結材料用量預設參數例如但不限於300kg/m 3、350kg/m 3或400kg/m 3。 In the step (a), the type of the additive is not particularly limited, such as but not limited to a water reducing agent and the water reducing rate of the water reducing agent is not particularly limited. For example, in one embodiment of the present invention, the fineness modulus range of the fine aggregate is defined as 2.9 to 3.1 based on the water reducing agent with a water reducing rate greater than 15%, and then a set of preset parameters for the amount of cementing material is preset according to the fineness modulus range of the fine aggregate, such as but not limited to 400kg/m 3 , 450kg/m 3 or 500kg/m 3 . (h) A quantitative model of the amount of water and admixtures in concrete proportioning can be correspondingly obtained based on the preset parameters of the amount of cementing material. In another embodiment of the present invention, the fineness modulus range of the fine aggregate is defined as 2.5 to 2.8 based on the water reducing agent with a water reducing rate of less than 15%, and then a set of preset parameters for the amount of cementing material is preset according to the fineness modulus range of the fine aggregate. The preset parameter for the amount of cementing material is for example but not limited to 300kg/m 3 , 350kg/m 3 or 400kg/m 3 .
要說明的是，該外加劑的種類、該減水劑的減水率、該細骨材的細度模數範圍的數值、該膠結材料用量預設參數的數值不以上述舉例為限，可根據實際應用對混凝土工作性的要求，以及實際配製混凝土所用的原料而做彈性調整。此外，依據該細骨材的細度模數範圍預設出的膠結材料用量預設參數的組數不以一組為限，也可以預設出多組膠結材料用量預設參數，並參照步驟(b)至步驟(h)建立出每一組膠結材料用量預設參數所相對應的量化模型，即得到一個包含多個混凝土配比中水用量及外加劑用量的量化模型的量化資料庫。而當依據該細骨材的細度模數範圍預設出多組膠結材料用量預設參數時，該等膠結材料用量預設參數可依據混凝土的抗壓強度需求來預設出低用量、中用量及高用量的膠結材料用量預設參數。該低用量的膠結材料用量預設參數範圍為250kg/m 3至310kg/m 3。該中用量的膠結材料用量預設參數的範圍為大於310kg/m 3至380kg/m 3。該高用量的膠結材料用量預設參數的範圍為大於380kg/m 3。 It should be noted that the type of the admixture, the water-reducing rate of the water-reducing agent, the value of the fineness modulus range of the fine aggregate, and the value of the preset parameter of the amount of the cementing material are not limited to the above examples, and can be elastically adjusted according to the actual application requirements for concrete workability and the raw materials used in the actual preparation of concrete. In addition, the number of groups of preset parameters of cementing material amount preset according to the fineness modulus range of the fine aggregate is not limited to one group, and multiple sets of cementing material amount preset parameters can also be preset, and a quantitative model corresponding to each group of cementing material amount preset parameters can be established by referring to steps (b) to steps (h), that is, a quantitative database containing multiple quantitative models of water consumption and admixture consumption in concrete proportioning can be obtained. And when multiple sets of preset parameters for the amount of cementing material are preset according to the fineness modulus range of the fine aggregate, the preset parameters for the amount of cementing material can be preset according to the compressive strength requirements of the concrete for low, medium, and high amounts of cementing material. The preset parameter range of the low amount of cementing material amount is 250kg/m 3 to 310kg/m 3 . The preset parameters of the amount of cementing material used in the middle amount range from more than 310kg/m 3 to 380kg/m 3 . The range of preset parameters of the high amount of cementing material amount is greater than 380kg/m 3 .
要再進一步說明的是，該低用量、該中用量及該高用量的膠結材料用量預設參數的範圍不以上述範圍為限，可再依據細骨材中的膠結材料的填充率來彈性調整。該低用量的膠結材料用量預設參數所對應的膠結材料的填充率範圍為0.9以下。該中用量的膠結材料用量預設參數所對應的膠結材料的填充率範圍為大於0.9至1.2。該高用量的膠結材料用量預設參數所對應的膠結材料的填充率範圍為大於1.2。 細骨材中的膠結材料的填充率=膠結材料的體積÷細骨材中的空隙的總體積。 It should be further explained that the preset parameter ranges of the low dosage, the medium dosage and the high dosage of cementing material are not limited to the above range, and can be elastically adjusted according to the filling rate of the cementing material in the fine aggregate. The filling rate range of the cementing material corresponding to the preset parameter of the low cementing material dosage is below 0.9. The filling rate of the cementing material corresponding to the preset parameter of the cementing material dosage in the middle amount is greater than 0.9 to 1.2. The filling rate range of the cementing material corresponding to the preset parameter of the high amount of cementing material is greater than 1.2. Filling rate of cementing material in fine aggregate = volume of cementing material ÷ total volume of voids in fine aggregate.
在該步驟(b)中，依據該膠結材料用量預設參數預設出的該等水用量預設參數的數值及組數，以及於每一組水用量預設參數下預設出的該等外加劑用量預設參數的數值沒有特別限制。要說明的是，於每一組水用量預設參數下預設出的該等外加劑用量預設參數的組數是依據該步驟(c)中的每一組砂漿樣品的狀態來決定，當砂漿樣品發生析離現象而使得所量測到的坍流度預設值超過180cm×cm時，則不再增加該等外加劑用量預設參數的組數。舉例來說，在本發明的一種實施態樣中，是依據該膠結材料用量預設參數為400kg/m 3，預設出4組水用量預設參數：150kg/m 3、160kg/m 3、170kg/m 3及180kg/m 3，再依據該水用量預設參數為150kg/m 3預設出至少4組外加劑用量預設參數：4kg/m 3、5kg/m 3、6kg/m 3及7kg/m 3等；依據該水用量預設參數為160kg/m 3預設出至少4組外加劑用量預設參數：3kg/m 3、4kg/m 3、5kg/m 3及6kg/m 3等；依據該水用量預設參數為170kg/m 3預設出至少4組外加劑用量預設參數：2kg/m 3、3kg/m 3、4kg/m 3及5kg/m 3等；以及，依據水用量預設參數為180 kg/m 3預設出至少4組外加劑用量預設參數：1kg/m 3、2kg/m 3、3kg/m 3及4kg/m 3等。 In the step (b), there are no special restrictions on the values and groups of the water consumption preset parameters preset according to the cementing material dosage preset parameters, and the values of the admixture dosage preset parameters preset under each set of water consumption preset parameters. It should be noted that the number of preset parameters for the amount of admixture preset under each set of preset parameters for water consumption is determined according to the state of each group of mortar samples in the step (c). When the mortar sample segregates and the measured slump fluidity preset value exceeds 180cm×cm, the number of preset parameters for the amount of admixture is no longer increased.舉例來說，在本發明的一種實施態樣中，是依據該膠結材料用量預設參數為400kg/m 3 ，預設出4組水用量預設參數：150kg/m 3 、160kg/m 3 、170kg/m 3及180kg/m 3 ，再依據該水用量預設參數為150kg/m 3預設出至少4組外加劑用量預設參數：4kg/m 3 、5kg/m 3 、6kg/m 3及7kg/m 3等；依據該水用量預設參數為160kg/m 3預設出至少4組外加劑用量預設參數：3kg/m 3 、4kg/m 3 、5kg/m 3及6kg/m 3等；依據該水用量預設參數為170kg/m 3預設出至少4組外加劑用量預設參數：2kg/m 3 、3kg/m 3 、4kg/m 3及5kg/m 3等；以及，依據水用量預設參數為180 kg/m 3預設出至少4組外加劑用量預設參數：1kg/m 3 、2kg/m 3 、3kg/m 3及4kg/m 3等。
在該步驟(c)中，每一組砂漿樣品包括細骨材組分、水泥、爐石、飛灰、外加劑及水，且該外加劑的種類與該步驟(a)所述的外加劑的種類相同，該細骨材組分、水泥、爐石、飛灰、外加劑及水的配比是根據體積法來決定的。每一組砂漿樣品的坍流度預設值的量測方法說明如下：提供一砂錐儀，該砂錐儀的高度為73.3mm且包括直徑為88.5mm的頂部開口，以及直徑為37.5mm的底部開口。將該砂錐儀的底端開口緊壓於一玻璃板的表面，接著，將該砂漿樣品分成三次自該砂錐儀的頂端開口灌入該砂錐儀中，且每次將砂漿樣品灌入該砂錐儀後以一搗棒由該砂錐儀的外側朝向該砂錐儀的內側將砂漿樣品搗實25次，並在第三次的砂漿樣品灌入該砂錐儀後，以刮刀將位於該砂錐儀的頂端開口處的砂漿樣品的表面刮平，之後，清除該砂錐儀周圍的砂漿樣品，並將該砂錐儀垂直向上提起以使該砂漿樣品坍落並流動，並量測該砂錐儀頂端至坍落後的砂漿樣品的頂端的距離(h，單位：cm)，以及流動後的砂漿樣品的坍形直徑(d，單位：cm)，根據該砂漿樣品的坍流度預設值的定義為h×d計算出該砂漿樣品的坍流度預設值(單位：cm×cm)。In the step (c), each group of mortar samples includes a fine aggregate component, cement, furnace stone, fly ash, admixture and water, and the type of the admixture is the same as that of the admixture described in the step (a), and the ratio of the fine aggregate component, cement, furnace stone, fly ash, admixture and water is determined according to the volume method. The measurement method of the preset value of slump fluidity of each group of mortar samples is described as follows: provide a sand cone, the height of the sand cone is 73.3mm and includes a top opening with a diameter of 88.5mm, and a bottom opening with a diameter of 37.5mm. The bottom opening of the sand cone was pressed against the surface of a glass plate, and then the mortar sample was divided into three times and poured into the sand cone from the top opening of the sand cone, and each time the mortar sample was poured into the sand cone, the mortar sample was compacted 25 times with a tamping rod from the outside of the sand cone to the inside of the sand cone, and after the third mortar sample was poured into the sand cone, the surface of the mortar sample located at the top opening of the sand cone was scraped with a scraper, and then, Clear the mortar sample around the sand cone, and lift the sand cone vertically upward to make the mortar sample slump and flow, and measure the distance (h, unit: cm) from the top of the sand cone to the top of the slumped mortar sample, and the slump diameter (d, unit: cm) of the flowed mortar sample, and calculate the slump preset value (unit: cm×cm) of the mortar sample according to the definition of the slump preset value of the mortar sample as h×d.
在該步驟(d)中，舉例來說，在本發明的一種實施態樣中，是將該水用量預設參數為150kg/m 3所預設出的該等外加劑用量預設參數作為橫軸，以及將該等砂漿樣品的坍流度預設值作為縱軸，來建立出基於該水用量預設參數為150kg/m 3的一個第一迴歸方程式，並且依據同樣方式基於該水用量預設參數為160kg/m 3、170kg/m 3及180kg/m 3分別建立出對應的第一迴歸方程式。 In this step (d), for example, in an embodiment of the present invention, the preset water consumption parameter is 150kg/ m3 and the preset parameters of the admixture dosage are used as the horizontal axis, and the preset values of the slump of the mortar samples are used as the vertical axis to establish a first regression equation based on the water consumption preset parameter being 150kg/ m3 , and in the same way based on the water consumption preset parameter is 160kg/ m3 , 170kg /m 3 and 180kg/m 3 respectively establish the corresponding first regression equation.
在該步驟(e)中，該等坍流度額定值的具體數值及組數沒有特別限制，例如但不限於，在本發明的一種實施態樣中，是設定出5組坍流度額定值：75cm×cm、100cm×cm、125cm×cm、150cm×cm及175cm×cm，再將該等坍流度額定值帶入該水用量預設參數為150kg/m 3所對應的第一迴歸方程式中，計算出在該水用量預設參數為150kg/m 3下該等坍流度額定值所分別對應的該外加劑的用量預設值，並且依據同樣方式將該等坍流度額定值分別帶入該水用量預設參數為160kg/m 3、170kg/m 3及180kg/m 3對應的第一迴歸方程式中做計算。 In the step (e), the specific values and groups of the slump fluidity ratings are not particularly limited. For example, but not limited to, in an embodiment of the present invention, 5 sets of slump fluidity ratings are set: 75cm×cm, 100cm×cm, 125cm×cm, 150cm×cm and 175cm×cm, and then the slump fluidity ratings are brought into the water consumption. The default parameter is 150kg/m 3In the corresponding first regression equation, it is calculated that the preset parameter of the water consumption is 150kg/m 3Lower the preset value of the amount of the admixture corresponding to the rated values of the slump fluidity, and bring the rated values of the slump fluidity into the water according to the same method. The preset parameter of the water consumption is 160kg/m 3、170kg/m 3and 180kg/m 3Calculate in the corresponding first regression equation.
在該步驟(f)中，每一組砂漿樣品中的細骨材組分所對應的該砂粒總表面積值的計算方式沒有特別限制，例如但不限於，在本發明的一種實施態樣中是根據該細骨材組分的砂粒留篩率、密度及用量來計算得到該砂粒總表面積值，其中，是對每一組砂漿樣品中的細骨材組分進行篩分析而得到該細骨材組分的砂粒留篩率。更詳細地說，是先以篩分析方法量測出該細骨材組分的砂粒留篩率後，依據於篩分析方法中使用的篩網的篩號所對應的尺寸、該細骨材組分中的砂粒密度及該細骨材組分的用量，計算出停留於篩網上的砂粒的砂粒總表面積後，再將於篩分析方法中使用的所有篩網上的砂粒的砂粒總表面積加總即得到該細骨材組分的砂粒總表面積值。 停留於篩網上的砂粒的總表面積=該篩網上的砂粒數量×該篩網上的每一顆砂粒的表面積。 篩網上的砂粒數量=細骨材組分的用量×砂粒於該篩網上的砂粒留篩率÷該篩網上的每一顆砂粒的重量。 In the step (f), the calculation method of the total surface area of the sand corresponding to the fine aggregate component in each group of mortar samples is not particularly limited. For example, but not limited to, in an embodiment of the present invention, the total surface area of the sand is calculated according to the sand retention rate, density and dosage of the fine aggregate component, wherein the sand retention rate of the fine aggregate component is obtained by performing sieve analysis on the fine aggregate component in each group of mortar samples. More specifically, after the sieve analysis method is used to measure the sand retention rate of the fine aggregate component, the total surface area of the sand particles remaining on the sieve is calculated based on the size of the sieve mesh used in the sieve analysis method, the density of the sand grains in the fine aggregate component, and the amount of the fine aggregate component. The total surface area of the sand on the sieve = the number of sand on the sieve × the surface area of each sand on the sieve. The number of sand grains on the screen = the amount of fine aggregate components × the retention rate of sand grains on the screen ÷ the weight of each sand grain on the screen.
其中，根據該砂裹外加劑厚度值的定義為每一粒砂粒被外加劑包裹的厚度，每一組水用量預設參數下的各組坍流度額定值所對應的砂裹外加劑厚度的計算方式如下：將該坍流度額定值所對應的該外加劑的該用量預設值除以該外加劑的密度換算得到該外加劑的體積，將該外加劑的體積除以該細骨材組分的砂粒總表面積值，而得到該坍流度額定值所對應的該砂裹外加劑厚度。Wherein, according to the definition of the thickness value of the sand-coated admixture as the thickness of each grain of sand wrapped by the admixture, the calculation method of the thickness of the sand-coated admixture corresponding to each set of slump fluidity ratings under each set of water consumption preset parameters is as follows: the volume of the admixture is obtained by dividing the preset value of the amount of the admixture corresponding to the slump fluidity rating value by the density conversion of the admixture to obtain the volume of the admixture, and dividing the volume of the admixture by the total surface area value of the sand grains of the fine aggregate component to obtain the slump fluidity rating Corresponding to the thickness of the sand-wrapped admixture.
在該步驟(g)中，根據該砂裹水厚度值定義為每一粒砂粒被水包裹的厚度，每一組水用量預設參數下各組坍流度額定值所對應的砂裹水厚度值的計算方式如下：將該水用量預設參數除以水的密度換算得到水的體積，將該水的體積除以該細骨材組分的砂粒總表面積值，而得到該坍流度額定值所對應的該砂裹水厚度值。In the step (g), according to the water-coated thickness of sand defined as the thickness of each grain of sand wrapped in water, the calculation method of the water-coated sand thickness corresponding to each set of slump fluidity ratings under each set of preset parameters of water consumption is as follows: divide the preset water consumption parameter by the density of water to obtain the volume of water, divide the volume of water by the total surface area of sand grains of the fine aggregate component, and obtain the water-coated sand thickness corresponding to the rated value of slump fluidity.
在該步驟(h)中，是於每一組坍流度額定值下，以每一組水用量預設參數所對應的砂裹外加劑厚度值為縱軸，以及用每一組水用量預設參數所對應的砂裹水厚度值為橫軸，來建立出對應該坍流度額定值的該第二迴歸方程式。因此，基於坍流度額定值的組數，即會得到相同組數的第二迴歸方程式，繼而就可以基於該步驟(a)中所預設出的該膠結材料用量預設參數下得到包含多組第二迴歸方程式的該量化模型。In the step (h), under each set of slump fluidity ratings, the vertical axis is the thickness of the sand-coated admixture corresponding to each set of water consumption preset parameters, and the horizontal axis is the sand-wrapped water thickness corresponding to each set of water consumption preset parameters, to establish the second regression equation corresponding to the slump fluidity ratings. Therefore, based on the number of groups of slump ratings, the same number of second regression equations can be obtained, and then the quantitative model including multiple groups of second regression equations can be obtained based on the preset parameters of the amount of cementing material preset in step (a).
以下以應用例1及2例示說明利用該量化模型進行混凝土配比設計。In the following, application examples 1 and 2 are used to exemplify concrete proportioning design using the quantitative model.
[應用例1]：[Application example 1]:
基於欲配製出的一理想混凝土的工作性要求，設定出可滿足該工作性要求的一組坍流度理想值，並選擇要用於配製該理想混凝土的細骨材組分的種類、外加劑的種類及重量。依據該細骨材組分的種類計算出相對應的砂粒總表面積值，以及依據該外加劑的密度將該外加劑的重量換算成體積，再用該外加劑的體積除以該細骨材組分的砂粒總表面積值計算出該理想混凝土的砂裹外加劑厚度值。接著，從該量化模型中選出與該坍流度理想值的數值相同的坍流度額定值所對應的第二迴歸方程式，例如該坍流度理想值為100cm×cm，就選坍流度額定值為100cm×cm所對應的第二迴歸方程式。然後，將該理想混凝土的砂裹外加劑厚度值帶入該第二迴歸方程式中計算出該理想混凝土的砂裹水厚度值，再將該理想混凝土的砂裹水厚度值乘以該細骨材組分的砂粒總表面積值計算出該理想混凝土中水的體積，將該水的體積乘以水的密度即計算出該理想混凝土中的水重量。Based on the workability requirements of an ideal concrete to be prepared, set a set of ideal slump fluidity values that can meet the workability requirements, and select the type of fine aggregate component, the type and weight of the admixture to be used to prepare the ideal concrete. Calculate the corresponding total surface area of sand particles according to the type of the fine aggregate component, and convert the weight of the admixture into volume according to the density of the admixture, and then divide the volume of the admixture by the total surface area of the sand particles of the fine aggregate component to calculate the thickness of the ideal concrete sand-coated admixture. Then, select the second regression equation corresponding to the rated value of the slump fluidity that is the same as the ideal value of the slump fluidity from the quantitative model. For example, the ideal value of the slump fluidity is 100 cm × cm, and the second regression equation corresponding to the rated value of the slump fluidity is 100 cm × cm. Then, bring the thickness value of the sand-coated admixture of the ideal concrete into the second regression equation to calculate the water-coated sand thickness value of the ideal concrete, multiply the water-coated thickness value of the ideal concrete by the total surface area of the sand grains of the fine aggregate component to calculate the volume of water in the ideal concrete, and multiply the volume of water by the density of water to calculate the water weight in the ideal concrete.
[應用例2]：[Application example 2]:
基於欲配製出的一理想混凝土的工作性要求，設定出可滿足該工作性要求的一組坍流度理想值，並選擇要用於配製該理想混凝土的細骨材組分的種類、外加劑的種類及水的重量。依據該細骨材組分的種類計算出相對應的砂粒總表面積值，依據該水的密度將該水的重量換算成體積，再用該水的體積除以該細骨材組分的砂粒總表面積值計算出該理想混凝土的砂裹水厚度值。接著，從該量化模型中選出與該坍流度理想值的數值相同的坍流度額定值所對應的第二迴歸方程式，將該砂裹水厚度值帶入該第二迴歸方程式中計算出在該理想混凝土的砂裹外加劑厚度值，再將該理想混凝土的砂裹外加劑厚度值乘以該細骨材組分的砂粒總表面積值計算出該理想混凝土中外加劑的體積，將該外加劑的體積乘以該外加劑的密度，即計算出該理想混凝土中的外加劑重量。Based on the workability requirements of an ideal concrete to be prepared, set a group of ideal slump fluidity values that can meet the workability requirements, and select the type of fine aggregate component, the type of admixture and the weight of water to be used to prepare the ideal concrete. Calculate the corresponding total surface area of sand grains based on the type of fine aggregate component, convert the weight of the water into volume according to the density of the water, and then divide the volume of water by the total surface area of sand grains of the fine aggregate component to calculate the sand-coated water thickness of the ideal concrete. Next, select the second regression equation corresponding to the rated value of slump fluidity that is the same as the value of the ideal value of slump fluidity from the quantitative model, bring the sand-coated water thickness value into the second regression equation to calculate the thickness value of the sand-coated admixture in the ideal concrete, and then multiply the sand-coated admixture thickness value of the ideal concrete by the total surface area of the sand grains of the fine aggregate component to calculate the volume of the admixture in the ideal concrete, and multiply the volume of the admixture by the density of the admixture to calculate the ideal concrete. The weight of the admixture.
綜上所述，本發明混凝土配比中水用量及外加劑用量的量化模型的建立方法透過該步驟(a)至該步驟(h)建立出該混凝土配比中水用量及外加劑用量的量化模型，該量化模型可以在預設出的膠結材料用量預設參數及設定出的坍流度額定值下，將用水用量、外加劑用量及砂粒總表面積值進行數理上的系統化聯結，也就是說，該量化模型能在預設的混凝土工作性下，透過水用量、外加劑用量、砂用量及砂粒的粗細度等參數的聯結來推算出水及外加劑的用量，進而控制混凝土的工作性及混凝土的抗壓強度，故確實能達成本發明的目的。In summary, the method for establishing a quantitative model of water consumption and admixture consumption in concrete proportioning according to the present invention establishes a quantitative model of water consumption and admixture consumption in concrete proportioning through the steps (a) to (h). The quantitative model can mathematically and systematically link the water consumption, admixture consumption and the total surface area of sand grains under the preset parameters of the amount of cementing material and the preset value of the slump fluidity. The amount of water and admixture can be calculated through the connection of parameters such as the amount of water, the amount of admixture, the amount of sand, and the thickness of sand particles, and then control the workability of concrete and the compressive strength of concrete. Therefore, the purpose of the present invention can indeed be achieved.
惟以上所述者，僅為本發明的實施例而已，當不能以此限定本發明實施的範圍，凡是依本發明申請專利範圍及專利說明書內容所作的簡單的等效變化與修飾，皆仍屬本發明專利涵蓋的範圍內。But the above are only embodiments of the present invention, and should not limit the scope of the present invention. All simple equivalent changes and modifications made according to the patent scope of the present invention and the content of the patent specification are still within the scope of the patent of the present invention.
無。none.
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| TW200513450A (en) * | 2003-10-09 | 2005-04-16 | Jung Min Engineering Corp | Eugenic concrete |
| TWI381923B (en) * | 2009-12-28 | 2013-01-11 | ||
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| CN108229003A (en) * | 2017-12-25 | 2018-06-29 | 上海建工集团股份有限公司 | A kind of workability of concrete optimum design method based on rheological parameters |
| CN112906234A (en) * | 2021-03-09 | 2021-06-04 | 廊坊市阳光建设工程质量检测有限公司 | Method for measuring strength curve data regression by concrete strength rebound method |
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| TW200513450A (en) * | 2003-10-09 | 2005-04-16 | Jung Min Engineering Corp | Eugenic concrete |
| TWI381923B (en) * | 2009-12-28 | 2013-01-11 | ||
| TWI471287B (en) * | 2010-06-17 | 2015-02-01 | A dense compounding method for the manufacture of concrete containing rice husk ash | |
| CN108229003A (en) * | 2017-12-25 | 2018-06-29 | 上海建工集团股份有限公司 | A kind of workability of concrete optimum design method based on rheological parameters |
| CN112906234A (en) * | 2021-03-09 | 2021-06-04 | 廊坊市阳光建设工程质量检测有限公司 | Method for measuring strength curve data regression by concrete strength rebound method |
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