Modularized detection clamp for launcher parts
The modularly designed launcher component inspection fixture, utilizing the folding structure of the support legs and clamping plates, solves the problem of large transportation space in existing fixtures, achieving convenient transportation and efficient space utilization.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2025-03-24
- Publication Date
- 2026-03-31
AI Technical Summary
Existing launcher component testing fixtures take up a lot of space during transportation and are inconvenient to handle, failing to meet the need for efficient space utilization.
A modular testing fixture was designed. Through the combination structure of support legs, limiting rods, limiting blocks, through slots, first springs, fixing plates, convex slots and clamping plates, the clamping plates and support legs can be folded and stored to reduce the space occupied during transportation.
This technology reduces the space required for the launcher component testing fixture during transportation and facilitates its handling, thereby improving transportation efficiency.
Smart Images

Figure CN224059632U_ABST
Abstract
Description
Technical Field
[0001] This utility model belongs to the technical field of modular testing fixtures for launcher components, and particularly relates to a modular testing fixture for launcher components. Background Technology
[0002] Inspection fixtures are crucial in industrial production, especially in the manufacture of high-precision products. They ensure that the parts being inspected are in the correct position and orientation so that their parameters can be accurately measured.
[0003] Among the components of the launcher, some have a rectangular structure. Existing testing fixtures consist of a worktable and a clamping plate on top of the worktable for holding the components. When these components need to be transported, the worktables of some existing fixtures are too large to be folded, resulting in them occupying a lot of space and being inconvenient to handle. Therefore, we propose a modular testing fixture for launcher components. Utility Model Content
[0004] The purpose of this invention is to provide a modular testing fixture for launcher components to solve the problems mentioned in the background art.
[0005] In view of this, the present invention provides a modular testing fixture for launcher components, including a worktable, and further comprising:
[0006] Two base plates are fixedly installed on the bottom of the workbench. Support legs are rotatably installed inside the base plates. Limiting rods are inserted into the support legs. The two ends of the limiting rods pass through both sides of the base plates and extend to the outside. A through groove is opened at one end of the limiting rod. A limiting block is slidably installed in the through groove. One end of the limiting block extends to the outside. A first spring is provided in the through groove.
[0007] The groove is formed on the top of the workbench. Two movable blocks are slidably installed in the groove. A fixing plate is fixedly installed on the top of each of the two movable blocks. A convex groove is formed on the fixing plate, and a clamping plate is inserted into the convex groove.
[0008] A drive assembly, located on a worktable, is used to drive two moving blocks toward or away from each other;
[0009] Two sets of limiting components are located in two fixed plates and are used to limit the movement of the two clamping plates.
[0010] In this technical solution, when clamping a component, the operator can place the component on top of the workbench between two clamping plates. Then, a drive assembly moves two moving blocks closer together, which in turn moves two fixed plates closer together until opposite sides of both clamping plates contact the component, thus clamping it. The component can then be inspected. After the entire device is used, a limiting component releases the clamping plates, allowing the operator to pull the clamping plates out of the fixed plates. The operator can then press down on the limiting block, causing it to fully enter the through groove. At this point, the first spring is compressed and contracts, allowing... Push the limiting rod to allow the limiting block to enter the bottom plate. Then, pull the limiting rod from the other end to completely remove it from the bottom plate and the support leg. Next, rotate the support leg so that one side of the support leg contacts the bottom of the worktable. Then, insert one end of the limiting rod back into the bottom plate and push the limiting rod until the limiting block is displaced to the outside. At this point, under the action of the first spring's rebound force, the first spring will drive the limiting block upward to the outside, and one side of the limiting block will contact one side of the bottom plate, thus limiting the limiting rod. At this point, the support leg will not rotate. Through the above operation, both support legs can be stored away, reducing the space occupied during the transportation of the entire device and making transportation more convenient.
[0011] In the above technical solution, the driving component further includes:
[0012] A bidirectional threaded rod is rotatably installed in a groove. One end of the bidirectional threaded rod passes through two moving blocks. A motor is fixedly installed on one side of the worktable. The output end of the motor passes through one side of the worktable, extends into the groove, and is coaxially connected to the bidirectional threaded rod.
[0013] Two slides are provided, both of which are located on the top of the workbench and on opposite sides of the groove. A guide rod is fixedly installed in each slide, and two sliders are slidably installed in each slide and on the guide rod. The two sliders are fixed to the bottom of two fixed plates respectively.
[0014] In this technical solution, the operator powers on and starts the motor. The output shaft of the motor will drive the bidirectional threaded rod to rotate. Under the action of the thread, the bidirectional threaded rod will drive the two moving blocks to move closer to each other. At this time, the fixed plate will drive the two sliders on the guide rod to slide and move closer to each other, which can ensure the stability of the displacement of the fixed plate until the opposite side of the two clamping plates are in contact with the parts, thereby clamping the parts.
[0015] In the above technical solution, the slider is slidably connected to the guide rod, the moving block is threadedly connected to the bidirectional threaded rod, the output shaft of the motor is rotatably connected to the worktable and the groove, and the bidirectional threaded rod is provided with two sections of threads with opposite directions of rotation.
[0016] In this technical solution, the slider can slide on the guide rod. Under the action of the thread, the rotation of the bidirectional threaded rod will drive the two moving blocks to move closer to each other, ensuring that the output shaft of the motor can rotate in the worktable and in the groove.
[0017] In the above technical solution, the limiting component further includes:
[0018] A cavity is formed within a fixed plate. Two round rods are fixedly installed within the cavity. An insert block is slidably installed within the cavity and on the two round rods. One side of the insert block extends into the clamping plate. A second spring is sleeved within the cavity and on the round rod. A pull rod is fixedly installed on the other side of the insert block and between the two second springs. One end of the pull rod passes through one side of the cavity and extends to the outside.
[0019] In this technical solution, when disassembling the clamp, the worker can first pull the lever by hand. The lever will cause the insert to move away from the clamp. At this time, the insert will slide on the two round rods, and the insert will compress the second spring until one end of the insert is completely pulled out of the clamp. At this time, the clamp will be released from the fixation, and then the worker can pull the clamp out of the fixing plate.
[0020] In the above technical solution, the insert block is slidably connected to the round rod, one side of the insert block is inserted into the clamping plate, the two ends of the second spring are respectively tightly welded to the other side of the insert block and the inner wall of the cavity, and the pull rod is slidably connected to the cavity and the fixing plate.
[0021] In this technical solution, it is ensured that the insert block can slide on the round rod, that one side of the insert block can be inserted into the clamping plate, that the structure of the second spring is stable, and that the pull rod can slide in the cavity and in the fixed plate.
[0022] In the above technical solution, the limiting rod has a rectangular cross-section and is inserted into the base plate.
[0023] In this technical solution, it is ensured that the support leg will not rotate after the limiting rod is inserted into the base plate and the support leg.
[0024] In the above technical solution, furthermore, the two ends of the first spring are tightly welded to the bottom of the limiting block and the inner wall of the through groove, respectively.
[0025] In this technical solution, the structural stability of the first spring is ensured.
[0026] The beneficial effects of this utility model are:
[0027] The modular testing fixture for launcher components, through the cooperation of the base plate, support legs, limit rods, limit blocks, through slots, first springs, fixing plates, convex slots, clamps, and limit components, ensures that the two support legs can be stored and the two clamps can be disassembled. This reduces the space required for the overall device during transportation, facilitates the handling of the overall device, and makes assembly more convenient. Attached Figure Description
[0028] Figure 1 This is a schematic diagram of the overall structure of this utility model;
[0029] Figure 2 This is an exploded structural diagram of the bottom plate, support leg, and limiting rod of this utility model;
[0030] Figure 3 This is a schematic diagram of the regional structure of the bottom plate in this utility model;
[0031] Figure 4 This is a schematic diagram of the internal structure of the limiting rod in this utility model;
[0032] Figure 5 This utility model Figure 4 Enlarged structural diagram at point A in the middle;
[0033] Figure 6 This is a schematic diagram of the internal structure of the workbench in this utility model;
[0034] Figure 7 This is a schematic diagram of the internal structure of the fixing plate in this utility model;
[0035] Figure 8 This utility model Figure 7 Enlarged structural diagram at point B;
[0036] Figure 9 This is a schematic diagram of the structure of the fixing plate in this utility model.
[0037] The markings in the diagram are as follows:
[0038] 1. Workbench; 2. Base plate; 3. Support leg; 4. Limiting rod; 5. Groove; 6. Fixing plate; 7. Two-way threaded rod; 8. Slide groove; 9. Clamping plate; 10. Motor; 11. Limiting block; 12. Through groove; 13. First spring; 14. Guide rod; 15. Moving block; 16. Sliding block; 17. Pull rod; 18. Cavity; 19. Second spring; 20. Round rod; 21. Insert block; 22. Convex groove. Detailed Implementation
[0039] The technical solutions of the embodiments of this application will be clearly described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of this application. All other embodiments obtained by those skilled in the art based on the embodiments of this application are within the scope of protection of this application.
[0040] In the description of this application, it should be noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the exemplary embodiments according to this application. For ease of description, the dimensions of the various parts shown in the drawings are not drawn to actual scale. Techniques, methods, and devices known to those skilled in the art may not be discussed in detail, but where appropriate, such techniques, methods, and devices should be considered part of the specification. In all examples shown and discussed herein, any specific values should be interpreted as merely exemplary and not as limitations. Therefore, other examples of exemplary embodiments may have different values. It should be noted that similar reference numerals and letters in the following drawings denote similar items; therefore, once an item is defined in one drawing, it need not be further discussed in subsequent drawings.
[0041] It should be noted that the terms "first," "second," etc., used in the specification and claims of this application are used to distinguish similar objects and not to describe a specific order or sequence. It should be understood that such use of data can be interchanged where appropriate so that embodiments of this application can be implemented in orders other than those illustrated or described herein, and the objects distinguished by "first," "second," etc., are generally of the same class and are not limited in number; for example, a first object can be one or more. Furthermore, in the specification and claims, "and / or" indicates at least one of the connected objects, and the character " / " generally indicates that the preceding and following objects are in an "or" relationship.
[0042] It should be noted that in the description of this application, the directional terms such as "front, back, up, down, left, right", "horizontal, vertical, horizontal" and "top, bottom" indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing this application and simplifying the description. Unless otherwise stated, these directional terms do not indicate or imply that the device or element referred to must have a specific orientation or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation on the scope of protection of this application. The directional terms "inner" and "outer" refer to the inner and outer contours relative to the outline of each component itself.
[0043] It should be noted that, in this application, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes that element. Furthermore, it should be noted that the scope of the methods and apparatuses in the embodiments of this application is not limited to performing functions in the order shown or discussed, but may also include performing functions substantially simultaneously or in the reverse order, depending on the functions involved. For example, the described methods may be performed in a different order than described, and various steps may be added, omitted, or combined. Additionally, features described with reference to certain examples may be combined in other examples.
[0044] Example 1:
[0045] Please see Figure 1 - Figure 9 As shown, this embodiment provides a modular testing fixture for launcher components, including a workbench 1, and further comprising:
[0046] Two base plates 2 are fixedly installed on the bottom of the workbench 1. Support legs 3 are rotatably installed inside the base plates 2. Limiting rods 4 are inserted into the support legs 3. The two ends of the limiting rods 4 pass through both sides of the base plates 2 and extend to the outside. A through groove 12 is opened at one end of the limiting rod 4. A limiting block 11 is slidably installed in the through groove 12. One end of the limiting block 11 extends to the outside. A first spring 13 is provided in the through groove 12.
[0047] The groove 5 is located on the top of the workbench 1. Two movable blocks 15 are slidably installed in the groove 5. A fixed plate 6 is fixedly installed on the top of each of the two movable blocks 15. A convex groove 22 is provided on the fixed plate 6. A clamping plate 9 is inserted into the convex groove 22.
[0048] A drive assembly is located on the worktable 1 and is used to drive two moving blocks 15 to move closer to or further away from each other.
[0049] Two sets of limiting components are located in the two fixed plates 6 respectively, and are used to limit the two clamping plates 9 respectively.
[0050] In this process, when clamping the parts, the operator can place the parts on top of the workbench 1 between the two clamping plates 9. Then, the drive component moves the two moving blocks 15 closer together, which in turn moves the two fixed plates 6 closer together until the opposite sides of the two clamping plates 9 are in contact with the parts, thus clamping them. The parts can then be inspected. After the entire device is used, the limiting component releases the clamping plates 9, allowing the operator to pull the clamping plates 9 from the fixed plates 6. The operator can then press down on the limiting block 11, causing it to fully enter the through groove 12. At this point, the first spring 13 is compressed and contracts, which in turn pushes the limiting rod 4. The limiting block 11 is inserted into the bottom plate 2. Then, the limiting rod 4 can be pulled from the other end to completely remove it from the bottom plate 2 and the support leg 3. The support leg 3 can then be rotated so that one side of it contacts the bottom of the worktable 1. One end of the limiting rod 4 can then be reinserted into the bottom plate 2. The limiting rod 4 can then be pushed until the limiting block 11 is displaced to the outside. At this point, under the action of the rebound force of the first spring 13, the first spring 13 will drive the limiting block 11 to move upward to the outside. One side of the limiting block 11 will contact one side of the bottom plate 2, thus limiting the limiting rod 4. The support leg 3 will not rotate at this time. Through the above operation, both support legs 3 can be stored away, reducing the space occupied during the transportation of the whole device and making transportation more convenient.
[0051] Example 2:
[0052] This embodiment provides a modular testing fixture for launcher components. In addition to the technical solutions described in the above embodiments, it also has the following technical features: the driving component includes:
[0053] A bidirectional threaded rod 7 is rotatably installed in a groove 5. One end of the bidirectional threaded rod 7 passes through two moving blocks 15. A motor 10 is fixedly installed on one side of the worktable 1. The output end of the motor 10 passes through one side of the worktable 1, extends into the groove 5, and is coaxially connected to the bidirectional threaded rod 7.
[0054] Two slides 8 are provided, both of which are located on the top of the workbench 1 and on both sides of the groove 5. A guide rod 14 is fixedly installed in the slide 8. Two sliders 16 are slidably installed in the slide 8 and on the guide rod 14. The two sliders 16 are fixed to the bottom of the two fixed plates 6 respectively.
[0055] When the staff powers on and starts the motor 10, the output shaft of the motor 10 will drive the bidirectional threaded rod 7 to rotate. Under the action of the thread, the bidirectional threaded rod 7 will drive the two moving blocks 15 to move closer to each other. At this time, the fixed plate 6 will drive the two sliders 16 on the guide rod 14 to slide and move closer to each other, which can ensure the stability of the displacement of the fixed plate 6 until the opposite sides of the two clamping plates 9 are in contact with the parts, thereby clamping the parts.
[0056] Example 3:
[0057] This embodiment provides a modular testing fixture for launcher components. In addition to the technical solutions of the above embodiments, it also has the following technical features: the slider 16 is slidably connected to the guide rod 14, the moving block 15 is threadedly connected to the bidirectional threaded rod 7, the output shaft of the motor 10 is rotatably connected to the worktable 1 and the groove 5, and the bidirectional threaded rod 7 is provided with two sections of threads with opposite directions of rotation.
[0058] Specifically, this ensures that the slider 16 can slide on the guide rod 14. Under the action of the thread, when the bidirectional threaded rod 7 rotates, it will drive the two moving blocks 15 to move closer to each other, ensuring that the output shaft of the motor 10 can rotate in the worktable 1 and the groove 5.
[0059] Example 4:
[0060] This embodiment provides a modular testing fixture for launcher components. In addition to the technical solutions described in the above embodiments, it also has the following technical features, including a limiting component:
[0061] Cavity 18 is formed inside fixed plate 6. Two round rods 20 are fixedly installed inside cavity 18. Insert block 21 is slidably installed inside cavity 18 and on the two round rods 20. One side of insert block 21 extends into clamping plate 9. A second spring 19 is sleeved inside cavity 18 and on the round rods 20. A pull rod 17 is fixedly installed on the other side of insert block 21 and between the two second springs 19. One end of pull rod 17 passes through one side of cavity 18 and extends to the outside.
[0062] When disassembling the clamping plate 9, the worker can first pull the lever 17 by hand. The lever 17 will cause the insert 21 to move away from the clamping plate 9. At this time, the insert 21 will slide on the two round rods 20, and the insert 21 will compress the second spring 19 to retract until one end of the insert 21 is completely pulled out from the clamping plate 9. At this time, the clamping plate 9 will be released from fixation, and then the worker can pull the clamping plate 9 out of the fixing plate 6.
[0063] Example 5:
[0064] This embodiment provides a modular testing fixture for launcher components. In addition to the technical solutions of the above embodiments, it also has the following technical features: the insert 21 is slidably connected to the round rod 20; one side of the insert 21 is inserted into the clamping plate 9; the two ends of the second spring 19 are respectively tightly welded to the other side of the insert 21 and the inner wall of the cavity 18; and the pull rod 17 is slidably connected to the cavity 18 and the fixing plate 6.
[0065] Specifically, this ensures that the insert 21 can slide on the round rod 20, that one side of the insert 21 can be inserted into the clamping plate 9, that the structure of the second spring 19 is stable, and that the pull rod 17 can slide in the cavity 18 and the fixing plate 6.
[0066] Example 6:
[0067] This embodiment provides a modular testing fixture for launcher components. In addition to the technical solutions of the above embodiments, it also has the following technical features: the limit rod 4 has a rectangular cross-section and is inserted into the base plate 2.
[0068] Specifically, it is ensured that the support leg 3 will not rotate after the limit rod 4 is inserted into the base plate 2 and the support leg 3.
[0069] Example 7:
[0070] This embodiment provides a modular testing fixture for launcher components. In addition to the technical solutions of the above embodiments, it also has the following technical features: the two ends of the first spring 13 are tightly welded to the bottom of the limiting block 11 and the inner wall of the through groove 12, respectively.
[0071] Among these measures, ensuring the structural stability of the first spring 13 is crucial.
[0072] Working Principle: When clamping parts, the operator can place the parts on top of the workbench 1 between the two clamping plates 9. Then, the operator powers on and starts the motor 10. The output shaft of the motor 10 will drive the bidirectional threaded rod 7 to rotate. Under the action of the thread, the bidirectional threaded rod 7 will drive the two moving blocks 15 to move closer to each other. At this time, the fixed plate 6 will drive the two sliders 16 on the guide rod 14 to slide and move closer to each other, ensuring the stability of the displacement of the fixed plate 6 until the opposite sides of the two clamping plates 9 are in contact with the parts, thus clamping the parts. Then, they can be inspected. After the entire device is used, the operator can first pull the pull rod 17 by hand. The pull rod 17 will drive the insert block 21 to move away from the clamping plate 9. At this time, the insert block 21 will slide on the two round rods 20, and the insert block 21 will compress the second spring 19 to retract until one end of the insert block 21 is completely pulled out from the clamping plate 9. At this time, the clamping plate 9 will be released from the fixed plate. Then, the operator can remove the clamping plate 9 from the fixed plate. After the fixed plate 6 is pulled out, the operator can press down on the limiting block 11 by hand, so that the limiting block 11 is fully inserted into the through groove 12. At this time, the first spring 13 will be compressed and contracted. Then, the limiting rod 4 can be pushed so that the limiting block 11 is inserted into the bottom plate 2. Then, the limiting rod 4 can be pulled from the other end so that the limiting rod 4 is completely pulled out from the bottom plate 2 and the support leg 3. Then, the support leg 3 can be rotated so that one side of the support leg 3 contacts the bottom of the worktable 1. Then, the limiting rod can be pulled out. One end of 4 is inserted into the base plate 2 again, and then the limiting rod 4 is pushed until the limiting block 11 is displaced to the outside. At this time, under the action of the rebound force of the first spring 13, the first spring 13 will drive the limiting block 11 to move upward to the outside. One side of the limiting block 11 will contact one side of the base plate 2, thereby limiting the limiting rod 4. At this time, the support leg 3 will not rotate. Through the above operation, both support legs 3 can be stored, which can reduce the space occupied when transporting the whole device and make it more convenient to transport.
[0073] The embodiments of this application have been described above with reference to the accompanying drawings. Unless otherwise specified, the embodiments and features in the embodiments of this application can be combined with each other. This application is not limited to the specific embodiments described above. The specific embodiments described above are merely illustrative and not restrictive. Those skilled in the art can make many other forms under the guidance of this application without departing from the spirit and scope of the claims, and all of these forms are within the protection scope of this application.
Claims
1. A launching pad subassembly modular inspection fixture comprising a worktable (1), characterized in that, Also includes: Two bottom plate (2), two said bottom plate (2) are fixedly installed at the bottom of the workbench (1), the support leg (3) is rotatably installed in the bottom plate (2), the limit rod (4) is inserted and installed in the support leg (3), the both ends of the limit rod (4) are respectively through the both sides of the bottom plate (2) and are extended to the outside, the limit rod (4) is provided with a through slot (12) at one end, the limit block (11) is slidably installed in the through slot (12), one end of the limit block (11) extends to the outside, the first spring (13) is arranged in the through slot (12); The groove (5) is provided on the top of the workbench (1), the two moving blocks (15) are slidably installed in the groove (5), the fixed plate (6) is fixedly installed on the top of the two moving blocks (15), the convex slot (22) is provided on the fixed plate (6), the clamping plate (9) is inserted and installed in the convex slot (22); The driving assembly is located on the workbench (1) and is used for driving the two moving blocks (15) to move close to each other or move away from each other; Two sets of limiting assemblies are respectively arranged in the two fixed plates (6) and are respectively used for limiting the two clamping plates (9).
2. A modular detection fixture for a launchpad component according to claim 1, wherein, The driving assembly comprises: The bidirectional threaded rod (7) is rotatably installed in the groove (5), one end of the bidirectional threaded rod (7) penetrates the two moving blocks (15), the motor (10) is fixedly installed on one side of the workbench (1), the output end of the motor (10) extends to the groove (5) through one side of the workbench (1) and is coaxially connected with the bidirectional threaded rod (7); Two slide grooves (8) are provided on the top of the workbench (1) and are respectively arranged on the two sides of the groove (5), the guide rod (14) is fixedly installed in the slide groove (8), the two sliding blocks (16) are slidably installed in the slide groove (8) and are arranged on the guide rod (14), and the two sliding blocks (16) are fixedly arranged on the bottom of the two fixed plates (6).
3. A modular testing fixture for launcher components according to claim 2, characterized in that, The sliding block (16) is slidably connected with the guide rod (14), the moving block (15) is threadedly connected with the bidirectional threaded rod (7), the output shaft of the motor (10) is rotatably connected with the workbench (1) and the groove (5), and the bidirectional threaded rod (7) is provided with two threads with opposite rotation directions.
4. A modular detection fixture for a launchpad component according to claim 1, wherein, The limiting assembly comprises: The cavity (18) is provided in the fixed plate (6), the two round rods (20) are fixedly installed in the cavity (18), the plug (21) is slidably installed in the cavity (18) and is arranged on the two round rods (20), one side of the plug (21) extends into the clamping plate (9), the second spring (19) is arranged in the cavity (18) and is arranged on the round rod (20), the pull rod (17) is fixedly installed on the other side of the plug (21) and is arranged between the two second springs (19), and one end of the pull rod (17) penetrates one side of the cavity (18) and extends to the outside.
5. A modular detection fixture for a launchpad component according to claim 4, wherein, The plug block (21) is in sliding connection with the round rod (20), one side of the plug block (21) is in plug-in cooperation with the clamping plate (9), the two ends of the second spring (19) are tightly welded with the other side of the plug block (21) and the inner wall of the cavity (18) respectively, and the pull rod (17) is in sliding connection with the cavity (18) and the fixed plate (6).
6. A modular detection fixture for a bipod assembly according to claim 1, wherein, The section of the limiting rod (4) is of a rectangular structure, and the limiting rod (4) is in plug-in cooperation with the bottom plate (2).
7. A modular testing fixture for launcher components according to claim 1, characterized in that, The two ends of the first spring (13) are tightly welded with the bottom of the limiting block (11) and the inner wall of the through groove (12) respectively.