Method for calculating brick consumption of wall of steel ladle

Abstract

The invention relates to a method for calculating the brick consumption of a steel ladle wall, and belongs to the technical field of steelmaking methods. According to the technical scheme, the using amount of different wedge-shaped bricks used in each layer of the steel ladle is calculated by means of the inner perimeter of a steel ladle working layer, the outer perimeter of the steel ladle working layer and the sizes of the two wedge-shaped bricks, and then the brick using amount of the steel ladle bricks in other layers is calculated according to the size change of a steel ladle shell. The method has the beneficial effects that the brick consumption of the steel ladle bricks with different shapes on the wall of the single steel ladle can be simply, quickly and accurately calculated.

Description

Technical Field

[0001] This invention relates to a method for calculating the amount of bricks needed for the wall of a steel ladle, belonging to the technical field of steelmaking methods. Background Technology

[0002] A ladle is a container for storing and transporting molten steel. Its standard name is a steel ladle, commonly known as a steel bag or ladle. Currently, the vast majority of ladle refining processes are completed inside the ladle, thus giving it a crucial role in the steelmaking system. A ladle is generally constructed with a three-layer structure: an insulation layer, a permanent layer, and a working layer. The insulation layer is typically constructed using lightweight clay bricks, aluminosilicate fiber felt, or lightweight castable refractory. The permanent layer is generally constructed using high-alumina bricks or integrally bonded castable refractory. The refractory material of the working layer directly contacts the molten steel and slag, enduring the mechanical erosion and high-temperature chemical corrosion. The lifespan of the ladle depends on the material of the working layer's refractory material, the quality of the construction, and the smelting environment of the molten steel. Currently, the working layer of a ladle is constructed using two methods: casting and brickwork. Cast-in-place ladles use monolithic refractory casting molds to fill the gap between the mold and the permanent layer; the working layer forms after the castable refractory solidifies. The brick-built steel ladle is constructed using pre-formed wedge-shaped steel ladle bricks. The bricks are laid with the smaller end facing inwards and the larger end close to the permanent layer to prevent the ladle from detaching. Because the steel ladle shell is cylindrical with varying diameters, the number of bricks used varies depending on the ladle height. Furthermore, different steel mills have different ladle capacities and shapes, meaning that using the same type of wedge-shaped brick cannot meet all requirements. Generally, two types of wedge-shaped bricks are used for construction to satisfy the needs of most steel ladles. The amount of bricks used for the ladle walls places demands on refractory material manufacturers and provides a theoretical basis for brick consumption. Summary of the Invention

[0003] The purpose of this invention is to provide a method for calculating the amount of bricks used in the ladle wall. By utilizing the inner and outer perimeters of the working layer and the known brick shape dimensions, the method calculates the amount of different wedge-shaped bricks used in each layer of the ladle. Then, based on the changes in the ladle shell dimensions, the amount of bricks used in other layers of the ladle can be deduced. This method can simply, quickly, and accurately calculate the amount of bricks used in different shapes of ladle wall for a single ladle, effectively solving the aforementioned problems existing in the background art.

[0004] The technical solution of this invention is: a method for calculating the amount of bricks needed for the wall of a steel ladle, comprising the following steps: (1) Use an Excel spreadsheet to create formulas to determine the distribution of each parameter of the two types of wedge bricks in the cells; (2) List the equations for the outer perimeter and inner perimeter of the working layer of the ladle; (3) The outer perimeter and inner perimeter of the working layer of the ladle were measured, and the amount of the two types of wedge bricks used in the working layer of the ladle was calculated according to the equation using the Excel spreadsheet function. (4) Calculate the number of steel-clad brick layers; (5) Calculate the usage values ​​of the two types of wedge bricks, the first ring and the last ring, according to the method in step (3); (6) Use Excel functions to fill in the usage values ​​of the two types of wedge bricks in other steel ladle rings; (7) Summarize the calculated usage values ​​of the two types of wedge bricks to obtain the usage of wedge brick one and wedge brick two for the steel ladle wall.

[0005] In step (1), the cells of the Excel table are distributed as follows: wedge brick one parameter, the width of the small end occupies a1, and the width of the large end occupies b1; wedge brick two parameter, the width of the small end occupies a2, and the width of the large end occupies b2; the length of both is c, the thickness of both is d, the amount of wedge brick one is x, and the amount of wedge brick two is y; the large end of wedge brick one and the large end of wedge brick two form the outer perimeter of the steel ladle working layer, and the small end of wedge brick one and the small end of wedge brick two form the inner perimeter of the steel ladle working layer.

[0006] In step (2), b1*x + b2*y = outer perimeter of the ladle working layer; a1*x + a2*y = inner perimeter of the ladle working layer.

[0007] In step (3), first write the expression in cell y and cell perimeter, select cell perimeter or any cell and start solving the equation. Solve the equation using data-simulation analysis-single variable solution-target cell is cell perimeter, target value is the perimeter value, and variable cell is cell x.

[0008] In step (4), the number of steel ladle brick layers = the height H inside the steel ladle / the thickness d.

[0009] In step (5), the quantities of steel ladle brick wedge brick one and wedge brick two of the first and last rings are filled into Excel. Select the first cell to the last cell, and use the arithmetic sequence method: Start-Fill-Series, select Columns, Arithmetic Sequence, and predict the trend.

[0010] In step (7), the calculated amounts of the two types of wedge bricks are rounded to integers and then summarized.

[0011] The beneficial effects of this invention are: by utilizing the inner and outer perimeters of the working layer and the known brick shape dimensions, the amount of different wedge-shaped bricks used in each layer of the ladle can be calculated, and then the amount of bricks used in other layers of the ladle can be deduced based on the changes in the size of the ladle shell. This allows for a simple, quick, and accurate calculation of the amount of bricks used in different shapes of ladle bricks for a single ladle wall. Detailed Implementation

[0012] To make the purpose, technical solution, and advantages of the invention's embodiments clearer, the technical solution of the invention will be clearly and completely described below in conjunction with the embodiments. Obviously, the embodiments described are only a small part of the embodiments of the invention, not all of them. All other embodiments obtained by those skilled in the art based on the embodiments of the invention without creative effort are within the protection scope of the invention.

[0013] A method for calculating the amount of bricks needed for the wall of a steel ladle includes the following steps: (1) Use an Excel spreadsheet to create formulas to determine the distribution of each parameter of the two types of wedge bricks in the cells; (2) List the equations for the outer perimeter and inner perimeter of the working layer of the ladle; (3) The outer perimeter and inner perimeter of the working layer of the ladle were measured, and the amount of the two types of wedge bricks used in the working layer of the ladle was calculated according to the equation using the Excel spreadsheet function. (4) Calculate the number of steel-clad brick layers; (5) Calculate the usage values ​​of the two types of wedge bricks, the first ring and the last ring, according to the method in step (3); (6) Use Excel functions to fill in the usage values ​​of the two types of wedge bricks in other steel ladle rings; (7) Summarize the calculated usage values ​​of the two types of wedge bricks to obtain the usage of wedge brick one and wedge brick two for the steel ladle wall.

[0014] In step (1), the cells of the Excel table are distributed as follows: wedge brick one parameter, the width of the small end occupies a1, and the width of the large end occupies b1; wedge brick two parameter, the width of the small end occupies a2, and the width of the large end occupies b2; the length of both is c, the thickness of both is d, the amount of wedge brick one is x, and the amount of wedge brick two is y; the large end of wedge brick one and the large end of wedge brick two form the outer perimeter of the steel ladle working layer, and the small end of wedge brick one and the small end of wedge brick two form the inner perimeter of the steel ladle working layer.

[0015] In step (2), b1*x + b2*y = outer perimeter of the ladle working layer; a1*x + a2*y = inner perimeter of the ladle working layer.

[0016] In step (3), first write the expression in cell y and cell perimeter, select cell perimeter or any cell and start solving the equation. Solve the equation using data-simulation analysis-single variable solution-target cell is cell perimeter, target value is the perimeter value, and variable cell is cell x.

[0017] In step (4), the number of steel ladle brick layers = the height H inside the steel ladle / the thickness d.

[0018] In step (5), the quantities of steel ladle brick wedge brick one and wedge brick two of the first and last rings are filled into Excel. Select the first cell to the last cell, and use the arithmetic sequence method: Start-Fill-Series, select Columns, Arithmetic Sequence, and predict the trend.

[0019] In step (7), the calculated amounts of the two types of wedge bricks are rounded to integers and then summarized. Example 1

[0020] This embodiment provides a method for calculating the amount of bricks needed for the wall of a steel ladle.

[0021] A steel plant has a 180-ton steel ladle with an upper outer diameter (permanent layer inner diameter) of 3737mm, a lower outer diameter of 3720mm, and an inner height of 4100mm. The ladle walls are constructed using 23 / 8 and 23 / 30 bricks. The dimensions of the 23 / 8 wedge-shaped bricks are: a1 width of 146mm at the small end, a2 width of 154mm at the large end, c length of 230mm, and d thickness of 100mm. The dimensions of the 23 / 30 wedge-shaped bricks are: a1 width of 165mm at the small end, a2 width of 135mm at the large end, c length of 230mm, and d thickness of 100mm.

[0022] The steps are as follows: (1) Calculate the number of steel-clad brick layers: 4100 / 100 = 41 layers; (2) Using an arithmetic sequence, fill in the number of layers between layer 41 (upper outer diameter 3737mm) and layer 1 (lower outer diameter 3720mm).

[0023] (3) Calculate the inner diameter: the inner diameter of the 41st layer (upper inner diameter) is 3737-230-230=3277mm; the inner diameter of the 1st layer (lower inner diameter) is 3720-230-230=3260mm. The 2nd layer and the 40th layer are calculated in the same way.

[0024] (4) Apply the formula 3.14 * diameter to calculate the inner and outer perimeters of layers 1-41.

[0025] (5) According to the formulas b1*x+ b2*y=outer perimeter; a1*x+ a2*y=inner perimeter, set the formula for the outer perimeter cell to be: 154x+165y, the formula for the y cell to be: inner perimeter / 135-1.081x, and the x cell to be blank.

[0026] (6) Enter the inner perimeter of the first layer in the formula of cell y, select the outer perimeter cell or any cell and start solving the equation. Solve the equation in Excel: Data - Simulation Analysis - Solve Single Variable - The target cell is the outer perimeter cell, the target value is the outer perimeter value of the first layer, and the variable cell is cell x.

[0027] (7) After iterative calculation using the formula, the number of bricks in the first ring (23 / 8) is 9.33, and the number of bricks in the second ring (23 / 30) is 45.66.

[0028] (8) Using the same method as step 6, the formula was iteratively calculated. The number of bricks in the 41st ring 23 / 8 was 8.19, and the number of bricks in the 23 / 30th ring was 45.97.

[0029] (9) Select the calculated number of bricks in the 1st and 41st layers and fill the series with an arithmetic sequence in Excel: Home - Fill - Series, select columns, arithmetic sequence, predict trend.

[0030] (10) Round the calculated number of bricks used for layers 1-41 to get the number of bricks used for each layer 23 / 8 and 23 / 30. Example 2

[0031] This embodiment provides a method for calculating the amount of bricks needed for the wall of a steel ladle.

[0032] A steel plant has a 180-ton steel ladle with an upper outer diameter (permanent layer inner diameter) of 3737mm, a lower outer diameter of 3720mm, and an inner height of 4100mm. The ladle walls are constructed using 21 / 8 and 21 / 30 bricks. The dimensions of the 21 / 8 wedge-shaped bricks are: a1 width of 146mm at the small end, a2 width of 154mm at the large end, c length of 210mm, and d thickness of 100mm. The dimensions of the 21 / 30 wedge-shaped bricks are: a1 width of 165mm at the small end, a2 width of 135mm at the large end, c length of 210mm, and d thickness of 100mm.

[0033] The steps are as follows: (1) Calculate the number of steel-clad brick layers: 4100 / 100 = 41 layers; (2) Using an arithmetic sequence, fill in the number of layers between layer 41 (upper outer diameter 3737mm) and layer 1 (lower outer diameter 3720mm).

[0034] (3) Calculate the inner diameter: the inner diameter of the 41st layer (upper inner diameter) is 3737-210-210=3317mm; the inner diameter of the 1st layer (lower inner diameter) is 3720-210-210=3300mm. The 2nd layer and the 40th layer are calculated in the same way.

[0035] (4) Apply the formula 3.14 * diameter to calculate the inner and outer perimeters of layers 1-41.

[0036] (5) According to the formulas b1*x+ b2*y=outer perimeter; a1*x+ a2*y=inner perimeter, set the formula for the outer perimeter cell to be: 154x+165y, the formula for the y cell to be: inner perimeter / 135-1.081x, and the x cell to be blank.

[0037] (6) Enter the inner perimeter of the first layer in the formula of cell y, select the outer perimeter cell or any cell and start solving the equation. Solve the equation in Excel: Data - Simulation Analysis - Solve Single Variable - The target cell is the outer perimeter cell, the target value is the outer perimeter value of the first layer, and the variable cell is cell x.

[0038] (7) After iterative calculation using the formula, the number of bricks in the first ring (21 / 8) is 27.51, and the number of bricks in the second ring (21 / 30) is 36.58.

[0039] (8) Using the same method as step 6, the formula is iterated and calculated. The number of bricks in the 21 / 8 ring of the 41st ring is 40.89, and the number of bricks in the 21 / 30th ring is 32.99.

[0040] (9) Select the calculated number of bricks in the 1st and 41st layers and fill the series with an arithmetic sequence in Excel: Home - Fill - Series, select columns, arithmetic sequence, predict trend.

[0041] (10) Round the calculated number of bricks used for layers 1-41 to get the number of bricks used for each layer of 21 / 8 and 21 / 30. Example 3

[0042] This embodiment provides a method for calculating the amount of bricks needed for the wall of a steel ladle.

[0043] A steel plant has a 180-ton steel ladle with an upper outer diameter (permanent layer inner diameter) of 3737mm, a lower outer diameter of 3720mm, and an inner height of 4100mm. The ladle walls are constructed using 18 / 8 and 18 / 30 bricks. The dimensions of the 18 / 8 wedge-shaped bricks are: a1 width of 146mm at the small end, a2 width of 154mm at the large end, c length of 180mm, and d thickness of 100mm. The dimensions of the 18 / 30 wedge-shaped bricks are: a1 width of 165mm at the small end, a2 width of 135mm at the large end, c length of 180mm, and d thickness of 100mm.

[0044] The steps are as follows: (1) Calculate the number of steel-clad brick layers: 4100 / 100 = 41 layers; (2) Using an arithmetic sequence, fill in the number of layers between layer 41 (upper outer diameter 3737mm) and layer 1 (lower outer diameter 3720mm).

[0045] (3) Calculate the inner diameter: the inner diameter of the 41st layer (upper inner diameter) is 3737-180-180=3377mm; the inner diameter of the 1st layer (lower inner diameter) is 3720-180-180=3360mm. The 2nd layer and the 40th layer are calculated in the same way.

[0046] (4) Apply the formula 3.14 * diameter to calculate the inner and outer perimeters of layers 1-41.

[0047] (5) According to the formulas b1*x+ b2*y=outer perimeter; a1*x+ a2*y=inner perimeter, set the formula for the outer perimeter cell to be: 154x+165y, the formula for the y cell to be: inner perimeter / 135-1.081x, and the x cell to be blank.

[0048] (6) Enter the inner perimeter of the first layer in the formula of cell y, select the outer perimeter cell or any cell and start solving the equation. Solve the equation in Excel: Data - Simulation Analysis - Solve Single Variable - The target cell is the outer perimeter cell, the target value is the outer perimeter value of the first layer, and the variable cell is cell x.

[0049] (7) After iterative calculation using the formula, the number of 18 / 8 bricks in the first ring is 36.97, and the number of 18 / 30 bricks is 27.76.

[0050] (8) Using the same method as step 6, the formula was iteratively calculated. The number of 18 / 8 bricks in the 41st ring was found to be 50.34, and the number of 18 / 30 bricks was found to be 24.16.

[0051] (9) Select the calculated number of bricks in the 1st and 41st layers and fill the series with an arithmetic sequence in Excel: Home - Fill - Series, select columns, arithmetic sequence, predict trend.

[0052] (10) Round the calculated number of bricks used for layers 1-41 to get the number of bricks used for each layer 18 / 8 and 18 / 30.

[0053] Using the formulas (b1-a1)*x = outer perimeter - inner perimeter and (b2-a2)*y = outer perimeter - inner perimeter, the applicable range of wedge-shaped bricks 1 and wedge-shaped bricks 2 for lining the inner wall of the steel ladle can be calculated, that is, the diameter of the steel ladle when all bricks 1 or all bricks 2 are used. This method is simple and accurate. After establishing the formulas, when calculating the amount of bricks needed for different steel ladles, only the diameter and height of the steel ladle need to be changed.

[0054] The embodiments described above are merely illustrative of several implementations of the present invention, and while the descriptions are specific and detailed, they should not be construed as limiting the scope of the present invention. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of the present invention, and these modifications and improvements all fall within the scope of protection of the present invention. Therefore, the scope of protection of this patent should be determined by the appended claims.

Claims

1. A method for calculating the amount of bricks needed for the wall of a steel ladle, characterized in that... Includes the following steps: (1) Use an Excel spreadsheet to create formulas to determine the distribution of each parameter of the two types of wedge bricks in the cells; (2) List the equations for the outer perimeter and inner perimeter of the working layer of the ladle; (3) The outer perimeter and inner perimeter of the working layer of the ladle were measured, and the amount of the two types of wedge bricks used in the working layer of the ladle was calculated according to the equation using the Excel spreadsheet function. (4) Calculate the number of steel-clad brick layers; (5) Calculate the usage values ​​of the two types of wedge bricks, the first ring and the last ring, according to the method in step (3); (6) Use Excel functions to fill in the usage values ​​of the two types of wedge bricks in other steel ladle rings; (7) Summarize the calculated usage values ​​of the two types of wedge bricks to obtain the usage of wedge brick one and wedge brick two for the steel ladle wall.

2. The method for calculating the amount of bricks needed for the wall of a steel ladle according to claim 1, characterized in that: In step (1), the cells of the Excel table are distributed as follows: wedge brick one parameter, the width of the small end occupies a1, and the width of the large end occupies b1; wedge brick two parameter, the width of the small end occupies a2, and the width of the large end occupies b2; the length of both is c, the thickness of both is d, the amount of wedge brick one is x, and the amount of wedge brick two is y; the large end of wedge brick one and the large end of wedge brick two form the outer perimeter of the steel ladle working layer, and the small end of wedge brick one and the small end of wedge brick two form the inner perimeter of the steel ladle working layer.

3. The method for calculating the amount of bricks needed for the wall of a steel ladle according to claim 2, characterized in that: In step (2), b1*x + b2*y = outer perimeter of the ladle working layer; a1*x + a2*y = inner perimeter of the ladle working layer.

4. The method for calculating the amount of bricks needed for the wall of a steel ladle according to claim 2, characterized in that: In step (3), first write the expression in cell y and cell perimeter, select cell perimeter or any cell and start solving the equation. Solve the equation using data-simulation analysis-single variable solution-target cell is cell perimeter, target value is the perimeter value, and variable cell is cell x.

5. The method for calculating the amount of bricks needed for the wall of a steel ladle according to claim 1, characterized in that: In step (4), the number of steel ladle brick layers = the height H inside the steel ladle / the thickness d.

6. The method for calculating the amount of bricks needed for the wall of a steel ladle according to claim 1, characterized in that: In step (5), the quantities of steel ladle brick wedge brick one and wedge brick two of the first and last rings are filled into Excel. Select the first cell to the last cell, and use the arithmetic sequence method: Start-Fill-Series, select Columns, Arithmetic Sequence, and predict the trend.

7. The method for calculating the amount of bricks needed for the wall of a steel ladle according to claim 1, characterized in that: In step (7), the calculated amounts of the two types of wedge bricks are rounded to integers and then summarized.