Molded equipment pad with arc-shaped ribs

11794440 ยท 2023-10-24

Assignee

Inventors

Cpc classification

International classification

Abstract

A molded equipment pad having a top deck, side walls, underlying reinforcing radial ribs, and underlying reinforcing arc-shaped ribs. The arc-shaped ribs may include a series of concentric arc-shaped ribs that are centered on the center of the equipment pad and that extend toward the side walls of the pad and a number of distributed circular hubs. Alternatively, the arc-shaped ribs may include a series of concentric arc-shaped ribs that are centered on the center of the equipment pad that end short of the side walls, a series of opposing arc-shaped ribs that are centered on the corners of the equipment pad, and a number of distributed circular hubs.

Claims

1. A system comprising: an air conditioning unit; and a pad configured for supporting the air conditioning unit, the pad comprising: a. a top deck having a top surface, a bottom surface, a plurality of edges, a plurality of corners, a first deck point located on the bottom surface of the top deck and enclosed within the edges of the top deck, and a second deck point located on the bottom surface of the top deck and enclosed within the edges of the top deck; b. a plurality of side walls extending downwardly from the edges of the top deck such that the bottom surface and the side walls define an interior space; and c. a network of reinforcing ribs extending from the bottom surface of the top deck, wherein the network of reinforcing ribs including a first series of reinforcing concentric arc-shaped ribs, wherein the first series of reinforcing concentric arc-shaped ribs has a first concentric rib center point that is a center of concentric circles defined by the reinforcing concentric arc-shaped ribs of the first series, and the first concentric rib center point coincides with the first deck point of the top deck, wherein the network of reinforcing ribs including a second series of reinforcing concentric arc-shaped ribs, wherein the second series has a second concentric rib center point that is a center of concentric partial circles defined by the reinforcing concentric arc-shaped ribs of the second series, and the second concentric rib center point coincides with one of the corners of the top deck, wherein each of the bottom surface and the top surface extend between the air conditioning unit and the interior space when the air conditioning unit rests on the top surface, wherein the top surface extends between the air conditioning unit and the network of reinforcing ribs when the air conditioning unit rests on the top surface, wherein the top deck is molded with the side walls and the network of reinforcing ribs, wherein the network of reinforcing ribs extending from the bottom surface of the top deck includes a third series of reinforcing concentric arc-shaped ribs, wherein the third series has a third concentric rib center point that is a center of concentric circles defined by the reinforcing concentric arc-shaped ribs of the third series, and the third concentric rib center point coincides with the second deck point of the top deck, wherein the network of reinforcing ribs extending from the bottom surface of the top deck includes a fourth series of reinforcing concentric arc-shaped ribs, wherein the fourth series has a fourth concentric rib center point that is a center of concentric partial circles defined by the reinforcing concentric arc-shaped ribs of the fourth series, wherein the fourth concentric rib center point coincides with a point along one of the edges of the top deck, wherein the concentric circles defined by the reinforcing concentric arc-shaped ribs of the first series or the concentric circles defined by the reinforcing concentric arc-shaped ribs of the third series include a first outermost concentric reinforcing arc-shaped rib, wherein the fourth series includes a second outermost concentric reinforcing arc-shaped rib, wherein the first outermost concentric reinforcing arc-shaped rib is discontinuous via interruption by the second outermost concentric reinforcing arc-shaped rib.

2. The system of claim 1, wherein at least one reinforcing concentric arc-shaped rib of the first series of reinforcing concentric arc-shaped ribs-intersects at least one reinforcing concentric arc-shaped rib of the second series of reinforcing concentric arc-shaped ribs.

3. The system of claim 1, wherein longer ribs of the first series of reinforcing concentric arc-shaped ribs and longer ribs of the second series of reinforcing concentric arc-shaped ribs have heights from the bottom surface greater than shorter ribs of the first series of reinforcing concentric arc-shaped ribs and shorter ribs of the second series of reinforcing concentric arc-shaped ribs respectively.

4. The system of claim 1, wherein the top deck, the sidewalls, and the network of reinforcing ribs form a single unitary unit including thermoplastic.

5. The system of claim 1, wherein the top deck, the sidewalls, and the network of reinforcing ribs form a single unitary unit including thermoset.

6. The system of claim 1, wherein the top deck, the sidewalls, and the network of reinforcing ribs form a single unitary unit including concrete.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) FIG. 1 is a top perspective view of an equipment pad in accordance with a first embodiment of the present invention.

(2) FIG. 2 is a bottom perspective view of the equipment pad in accordance with the first embodiment of the present invention.

(3) FIG. 3 is a top plan view of the equipment pad in accordance with the first embodiment of the present invention.

(4) FIG. 4 is a bottom plan view of the equipment pad in accordance with the first embodiment of the present invention.

(5) FIG. 5 is a side elevation view of the equipment pad in accordance with the first embodiment of the present invention.

(6) FIG. 6 is a top perspective view of a stack of equipment pads, stacked for shipping and storage, in accordance with a first embodiment of the present invention.

(7) FIG. 7 is a bottom perspective view of the stack of equipment pads, stacked for shipping and storage, in accordance with the first embodiment of the present invention.

(8) FIG. 8 is a top perspective view of an equipment pad in accordance with a second embodiment of the present invention.

(9) FIG. 9 is a bottom perspective view of the equipment pad in accordance with the second embodiment of the present invention.

(10) FIG. 10 is a top plan view of the equipment pad in accordance with the second embodiment of the present invention.

(11) FIG. 11 is a bottom plan view of the equipment pad in accordance with the second embodiment of the present invention.

(12) FIG. 12 is a side elevation view of the equipment pad in accordance with the second embodiment of the present invention.

(13) FIG. 13B is an enlarged bottom perspective view of the equipment pad (circled in FIG. 13A) in accordance with the second embodiment of the present invention.

(14) FIG. 14A is an enlarged bottom perspective view of the equipment pad (circled in FIG. 14B) in accordance with the second embodiment of the present invention.

(15) FIG. 15 is a bottom perspective view of an equipment pad in accordance with a third embodiment of the present invention.

(16) FIG. 16 is a bottom plan view of the equipment pad in accordance with the third embodiment of the present invention.

(17) FIG. 17 is a bottom perspective view of an equipment pad in accordance with a fourth embodiment of the present invention.

(18) FIG. 18 is a bottom plan view of the equipment pad in accordance with the fourth embodiment of the present invention.

(19) FIG. 19 is a bottom perspective view of an equipment pad in accordance with a fifth embodiment of the present invention.

(20) FIG. 20 is a bottom plan view of the equipment pad in accordance with the fifth embodiment of the present invention.

(21) FIG. 21 is a bottom perspective view of an equipment pad in accordance with a sixth embodiment of the present invention.

(22) FIG. 22 is a bottom plan view of the equipment pad in accordance with the sixth embodiment of the present invention.

(23) FIG. 23 is a bottom perspective view of an equipment pad in accordance with a seventh embodiment of the present invention.

(24) FIG. 24 is a bottom plan view of the equipment pad in accordance with the seventh embodiment of the present invention.

(25) FIG. 25 is a bottom perspective view of a competitive equipment pad, Brand A.

(26) FIG. 26 is a bottom perspective view of a competitive equipment pad, Brand B.

(27) FIG. 27 is a bottom perspective view of a competitive equipment pad, Brand C.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT

(28) FIGS. 1-7 illustrate a first embodiment of a molded equipment pad with, reinforcing radial ribs, reinforcing concentric arc-shaped ribs, and distributed hubs.

(29) FIGS. 8-14 illustrate a second embodiment of a molded equipment pad with, reinforcing radial ribs, reinforcing concentric arc-shaped ribs, reinforcing opposing arc-shaped ribs, and distributed hubs.

(30) FIGS. 15-16 illustrate a third embodiment of a molded equipment pad with reinforcing corner originating arc-shaped ribs.

(31) FIGS. 17-18 illustrate a fourth embodiment of a molded equipment pad with reinforcing sine wave arc-shaped ribs.

(32) FIGS. 19-20 illustrate a fifth embodiment of a molded equipment pad with reinforcing concentric arc-shaped ribs with irregular undulating curvature.

(33) FIGS. 21-22 illustrate a sixth embodiment of a molded equipment pad with reinforcing concentric arc-shaped ribs with irregular segmented curvature.

(34) FIGS. 23-24 illustrate a seventh embodiment of a molded equipment pad two sections, each section with reinforcing concentric arc-shaped ribs, side opposing arc-shaped ribs and corner opposing arc-shaped ribs.

(35) Turning to FIGS. 1-5, a molded equipment pad 10 comprises an equipment support deck 12 having a deck top surface 14 and a deck bottom surface 16, side walls 22 having internal surfaces 24 and external services 26, and an underlying network 30 of reinforcing ribs attached to the bottom surface 16 of the deck 12. The material used to mold the equipment pad 10 of the present invention may include virtually any moldable material. Suitable materials may include without limitation, thermoplastics (including polyethylene, polypropylene, ABS, styrene, and nylon), thermosets, and concrete (including polymer concrete, self consolidating concrete, and conventional concrete).

(36) The equipment support deck 12 is generally rectangular with a center point 18 generally equidistant from the side walls 22. The equipment support deck 12 may also be other geometric shapes including but not limited to square, triangular, hexagonal, octagonal, circular, or elliptical. The top surface 14 of the deck 12 is generally planar. The four side walls 22 are attached to the edges of the deck 12 and extend downwardly. The four side walls 22 are joined at their edges to form corners 20 of the pad 10.

(37) As shown in FIGS. 2 and 4, a network 30 of reinforcing ribs is attached to the bottom surface 16 of the deck 12 and occupies the space between the side walls 22. The network 30 of reinforcing ribs includes segments of straight radial ribs 32 that extend from the side walls 22 toward the center point 18 and segments of straight radial ribs 33 that extend from the corners 20 toward the center point 18. Post-shaped fillets 46 are used at the intersections of the straight radial ribs 32 and the internal surface 24 of the side walls 22 to reinforce the intersection. The post shaped fillets 46 also have openings to accept anti-vibration rubber bumpers (not shown). Likewise, post-shaped fillets 46 are used at the intersections of the straight radial ribs 33 and the corners 20 to reinforce the intersections. The network 30 of reinforcing ribs further includes segments of a series of concentric arc-shaped ribs 36 that are centered on the center point 18. The concentric arc-shaped ribs 36 intersect the straight radial ribs 32 and 33, and the outermost segments of the arc-shaped ribs 36 intersect the internal surface 24 on the side walls 22. As the concentric arc-shaped ribs 36 are positioned further from the center point 18, the height of the concentric arc-shaped ribs 36 increases to provide greater strength in the longer segments of the concentric arc-shaped ribs 36 between the straight radial ribs 32 and 33. For example, the outermost segment 36A of the concentric arc-shaped ribs 36 has a greater height than the innermost segment 36E with the segments 36A-36E gradually decreasing in height as the segments become shorter between the straight radial ribs 32 and 33.

(38) With continuing reference to FIGS. 2 and 4, the network 30 of reinforcing ribs further includes distributed circular hubs 40 and a center hub 41. In the embodiment shown in FIGS. 2 and 4, the center circular hub 41 is centered on the center point 18 of the network 30 of reinforcing ribs, and the four distributed hubs 40 are each located in the four quadrants of the network 30 of reinforcing ribs. With reference to FIG. 2, the straight radial ribs 33 extended through and intersect the distributed hubs 40, and therefore reinforce the walls of the distributed hubs 40. Inside the distributed hubs 40 the straight radial ribs 33 are of reduced height because the reinforcement of the deck 12 by the distributed hubs 40 reduces the reinforcement requirements of the straight radial ribs 33 inside the distributed hubs 40. In addition, hub cross ribs 42 are positioned at essentially right angles to the segments of the radial ribs 33 inside the distributed hubs 40. The hub cross ribs 42 lend additional support to the deck 12 inside the distributed hubs 40. The hub cross ribs 42 are of reduced height because of the support provided by the distributed hubs 40 themselves. The hub cross ribs 42 and the segments of the straight radial ribs 33 inside the distributed hubs 40 have increased height or gussets 44 where the hub cross ribs 42 and the segments of the straight radial ribs 33 intersect the distributed hubs 40 to add additional strength to the intersection points. Similarly, the portions of the radial ribs 33 outside of the distributed hubs 40 have increased height or gussets 45 where the radial ribs 33 intersect the outside of the distributed hubs 40 to increase the strength of the intersection. The segments of the radial ribs 33 inside the center circular hub 41 are the same height as the walls of the center circular hub 41. The segments of the radial ribs 33 outside the center circular hub 41 are of reduced height with a gusset where the segments of the radial ribs 33 intersect the outside wall of the center circular hub 41.

(39) As shown in FIGS. 6 and 7, the equipment pads 10 are nestable when stacked to form a stack 28 because the side walls 22 are flared outwardly and the height of the reinforcing network 30 of reinforcing ribs is less than the height of the side walls 22.

(40) With reference to FIGS. 8-14, a second embodiment of a molded equipment pad 110 comprises an equipment support deck 112 having a deck top surface 114 and a deck bottom surface 116, side walls 122 having internal surfaces 124 and external surfaces 126, and an underlying network 130 of reinforcing ribs attached to the bottom surface 116 of the deck 112.

(41) The equipment support deck 112 is generally rectangular with a center point 118 generally equidistant from the side walls 122. The equipment support deck 112 may also be other geometric shapes including but not limited to square, triangular, hexagonal, octagonal, circular, or elliptical. The top surface 114 of the deck 112 is generally planar. The four side walls 122 are attached to the edges of the deck 112 and extend downwardly. The four side walls 122 are joined at their edges to form corners 120 of the equipment pad 110.

(42) As shown in FIGS. 9, 11, 13B, and 14B, the network 130 of reinforcing ribs is attached to the bottom surface 116 of the deck 112 and occupies the space between the side walls 122. The network 130 of reinforcing ribs includes segments of straight radial ribs 132 that extend from side walls 122 toward the center point 118 and segments of straight radial ribs 133 that extend from the corners 120 toward the center point 118. The network 130 of reinforcing ribs also includes segments of a series of concentric arc-shaped ribs 136 that are centered on the center point 118. The concentric arc-shaped ribs 136 intersect the straight radial ribs 132 and 133. As the concentric arc-shaped ribs 136 are positioned further from the center point 118, the height of the concentric arc-shaped ribs 136 increases to provide greater strength in the longer segments of the concentric arc-shaped ribs 136 between the straight radial ribs 132 and 133. For example, the outermost segment 136A of the concentric arc-shaped ribs 136 has a greater height than the innermost segment 136F with the segments 136A-136F gradually decreasing in height as the segments become shorter between the straight radial ribs 132 and 133. In this second embodiment, the outermost segments 136A of the concentric arc-shaped ribs 136 do not intersect the internal surface 124 on the side walls 122. Instead, the network 130 of reinforcing ribs includes segments of opposing arc-shaped ribs 138 that are centered on the corners 120 of the pad 110. The opposing arc-shaped ribs 138 also have varying heights depending on the length of the segments of the opposing arc-shaped ribs 138. For example, opposing arc-shaped ribs at 138A, 138B, and 138C decrease in height as the length of the segment decreases.

(43) With continuing reference to FIGS. 9, 11, 13B, and 14B, the network 130 of reinforcing ribs further includes distributed circular hubs 140 and a center hub 141. In the embodiment shown in FIGS. 9 and 11, the center circular hub 141 is centered on the center point 118 of the network 130 of reinforcing ribs, and the four distributed hubs 140 are each located in the four quadrants of the network 130 of reinforcing ribs. With reference to FIGS. 9, 11, 1313, and 14B, the straight radial ribs 133 extended through and intersect the distributed hubs 140, and therefore reinforce the walls of the distributed hubs 140. Inside the distributed hubs 140 the straight radial ribs 133 are of reduced height because the reinforcement of the deck 112 by the distributed hubs 140 reduces the reinforcement requirements of the straight radial ribs 133 inside the distributed hubs 140. In addition, hub cross ribs 142 are positioned at essentially right angles to the segments of the radial ribs 133 inside the distributed hubs 140. The hub cross ribs 142 lend additional support to the deck 112 inside the distributed hubs 140. The hub cross ribs 142 are of reduced height because of the support provided by the distributed hubs 140 themselves. The hub cross ribs 142 and the segments of the straight radial ribs 133 inside the distributed hubs 140 have increased height or gussets 144 where the hub cross ribs 142 and the segments of the straight radial ribs 133 intersect the distributed hubs 140 to add additional strength to the intersection. The segments of the radial ribs 133 inside the center circular hub 141 are the same height as the walls of the center circular hub 141. The segments of the radial ribs 133 outside the center circular hub 141 are the same height as the walls of the center circular hub 141. The straight radial ribs 132 are the same height as the wall of the center circular hub 141 along their length.

(44) The straight radial ribs 133 intersect the corners 120, the opposing arc-shaped ribs 138, the concentric arc-shaped ribs 136, the distributed circular hubs 140, and the center circular hub 141. The opposing arc-shaped ribs 138 intersect the internal surface 124 of the side walls 122, the straight radial ribs 133, the concentric arc-shaped ribs 136, and the distributed hubs 140 located in each of the four quadrants of the equipment pad 110. The concentric arc-shaped ribs 136 intersect the straight radial ribs 133, the straight radial ribs 132, the opposing arc-shaped 138, and the distributed hubs 140. Where the ribs, the sidewalls, and the hubs intersect, gussets, such as gussets 145 inside the distributed hubs 140 and gussets 147 where the opposing arc-shaped ribs 138 meet the side walls 122, strengthen the intersections. In addition, post-shaped fillets, such as fillets 146 strengthen the intersection between concentric arc-shaped ribs 136, opposing arc-shaped ribs 138, straight radial ribs 132 and 133. The post shaped fillets 146 also have openings to accept anti-vibration rubber bumpers (not shown). Additional post-shaped fillets, such as fillets 148, may be placed at points along the length of the ribs to provide additional structural strength.

(45) The equipment pad 110 in accordance with the second embodiment of the present invention has a top deck 112 that is twice as stiff (measured by maximum deflection at a fixed load) as conventional pads with a deck that is more than twice as thick. The invention thus results in an equipment pad that is lighter with increased structural strength by using less polymer material. Three conventional mold equipment pads, Brands A, B, and C, are illustrated in FIGS. 25, 26, and 27. Table 1 sets forth the relevant deflections of each of the equipment pads including an equipment pad 110 in accordance with the second embodiment of the present invention.

(46) TABLE-US-00001 TABLE 1 Max Deflection (mm) Pad Model w/ 150 lb Load Brand A 0.236 Brand B 0.057 Brand C 0.048 Second Embodiment of the 0.022 Present Invention (FIGS. 8-14)

(47) With reference to FIGS. 15 and 16, a third embodiment of a molded equipment pad 210 comprises an equipment support deck 212 having a deck top surface (not shown) and a deck bottom surface 216, side walls 222 having internal surfaces 224 and external surfaces 226, and an underlying network 230 of reinforcing, corner originating arc-shaped ribs 236. The reinforcing, corner originating arc-shaped ribs 236 originate at each of the four corners 220 and arch toward the center point 218 of the bottom surface 216 of the equipment pad 210. Each of the corner originating arc-shaped ribs 236 constitutes a segment of a circle having its center centered on the midpoint of each side wall 222 and lying outside of the bounds of the equipment pad 210. While FIGS. 15 and 16 show four corner originating arc-shaped ribs 236, additional concentric arc-shaped ribs may be added to the bottom surface 216 of the support deck 212 to add additional strength if necessary.

(48) With reference to FIGS. 17 and 18, a fourth embodiment of a molded equipment pad 310 comprises an equipment support deck 312 having a deck top surface (not shown) and a deck bottom surface 316, side walls 322 having internal surfaces 324 and external surfaces 326, and an underlying network 330 of reinforcing, sinusoidal arc-shaped ribs 336. The reinforcing, sinusoidal arc-shaped ribs 336 are composed of a series of arc-shaped segments, such as segments 336A and 336B. The sinusoidal arc-shaped ribs 336 extend across the width of the space between two opposing side walls 322A and 322B. While FIGS. 17 and 18 show a series of substantially parallel sinusoidal arc-shaped ribs 336 extending in one direction across the bottom surface 316 of the equipment pad 310, additional sinusoidal-shaped ribs 336 maybe added to the bottom surface 316 of the support deck 312 at essentially right angles to the sinusoidal arc-shaped ribs 336 shown in FIGS. 17 and 18.

(49) With reference to FIGS. 19 and 20, a fifth embodiment of a molded equipment pad 410 comprises an equipment support deck 412 having a deck top surface (not shown) and a deck bottom surface 416, side walls 422 having internal surfaces 424 and external surfaces 426, and an underlying network 430 of reinforcing, concentric arc-shaped ribs 436 with an irregular undulating curvature. The reinforcing, concentric arc-shaped ribs 436 are centered on the center point 418 of the support deck 412. The concentric arc-shaped ribs 436 constitute a series of segments, such as repeating segments 436A, 436B, and 436C. While FIGS. 19 and 20 show three concentric arc-shaped ribs 436 with irregular undulating curvature, additional concentric arc-shaped ribs 436 may be added to the bottom surface 416 of the support deck at 412 to add additional strength if necessary.

(50) With reference to FIGS. 21 and 22, a sixth embodiment of a molded equipment pad 510 comprises an equipment support deck 512 having a deck top surface (not shown) and a deck bottom surface 516, side walls 522 having internal surfaces 524 and external surfaces 526, and an underlying network 530 of reinforcing, concentric arc-shaped ribs 536 with a segmented curvature. The reinforcing, concentric arc-shaped ribs 536 with the segmented curvature are centered on the center point 518 of the support deck 512. The concentric arc-shaped ribs 536 comprise a series of segments, such as repeating segments 536A and 536B. While FIGS. 21 and 22 show three concentric arc-shaped ribs 536 with the segmented curvature, additional concentric arc-shaped ribs 536 may be added to the bottom surface 516 of the support deck 512 to add additional strength if necessary.

(51) With reference to FIGS. 23 and 24, a seventh embodiment of a molded equipment pad 610 comprises an equipment support deck 612 having a deck top surface (not shown) and a deck bottom surface 616, side walls 622 having internal surfaces 624 and external surfaces 626, and an underlying network 630 of reinforcing ribs attached to the bottom surface 616 of the deck 612.

(52) The equipment support deck 612 is generally rectangular with generally square sections 612A and 612B. Each of the sections 612A and 612B has center points 618A and 618B respectively. The equipment support deck 612 may also be other geometric shapes, including but not limited to square, triangular, hexagonal, octagonal, circular, or elliptical. The top surface (not shown) and the bottom surface 616 of the deck 612 are generally planar. The four side walls 622 are attached to the edges of the deck 612 and extend downwardly. The four side walls 622 are joined at their edges to form corners 620 of the equipment pad 610.

(53) As shown in FIGS. 23 and 24, the network 630 of reinforcing ribs is attached to the bottom surface 616 of the deck 612 and occupies the space between the side walls 622. The network 630 of reinforcing ribs includes a series of concentric arc-shaped ribs 636A and 636B that are centered on the center points 618A and 618B respectively and radiate outwardly toward the side walls 622. As the concentric arc-shaped ribs 636A and 636B are positioned further from the center points 618A and 636B, the height of the concentric arc-shaped ribs 636A and 636B increases to provide greater strength in the longer segments of the concentric arc-shaped ribs 636A and 636B. In this seventh embodiment, the outermost segments of the concentric arc-shaped ribs 636A and 636B do not intersect the internal surface 624 on the side walls 622. Instead, the network 630 of reinforcing ribs includes segments of corner opposing arc-shaped ribs 638A and 638B that are centered on the corners 620 of the pad 610. The corner opposing arc-shaped ribs 638A and 638B are of varying heights depending on the length of the segments of the corner opposing arc-shaped ribs 638A and 638B. The network 630 of reinforcing ribs also includes segments of side opposing arc-shaped ribs 638C that are centered on the sides 622 of the pad 610. The side opposing arc-shaped ribs 638C are of varying heights depending on the length of the segments of the side opposing arc-shaped ribs 638C.

(54) As shown FIGS. 23 and 24, the concentric arc-shaped ribs 636A and 636B intersect the side opposing arcs-shaped ribs 638C but do not intersect the corner opposing arc-shaped ribs 638A and 638B nor do the concentric arc-shaped ribs 636A and 636B intersect the side walls 622. The seventh embodiment, however, can be modified so that the concentric arc-shaped ribs 636A and 636B, the side opposing arcs-shaped ribs 638C, and the corner opposing arc-shaped ribs 638A and 638B intersect each other. Further, radial ribs passing through the center points 618A and 618B may be added to the network 630 of reinforcing ribs.

(55) While this invention has been described with reference to preferred embodiments thereof, it is to be understood that variations and modifications can be affected within the spirit and scope of the invention as described herein and as described in the appended claims.