This invention relates to climbing aids particularly though not necessarily exclusively to climbing aids of the cam type for rock climbing and the like.
A wide variety of climbing aids are used to secure individual or groups of climbers to the rock or mountain that they climb. By attaching a rope to one or more climbing aids affixed to the rock and having the rope attached to the climber or climbers, it is possible to limit the distance over which a climber can fall. Since the terrain is frequently difficult to ascend, a fall is not necessarily an unlikely occurrence and the climbing aid provides for a margin of safety which otherwise would not exist.
Climbing aids come in many forms, and most aids may generally be classified as being either active devices or passive devices. Passive devices typically do not include any mechanical or moving parts that assist in attachment of the device to the rock, and instead rely upon friction and gravitational forces to achieve anchoring. Active devices on the other hand generally include some kind of mechanical parts that assist in anchoring the protection on the rock wall.
The simplest form of a passive device is a climbing nut or chock, which typically is simply a piece of metal with a wire or rope loop to attach to it. The piece of metal may be placed snugly into a crack or imperfection in the rock and then attached to the aforementioned rope. Such climbing aids have the significant disadvantage of being unable to adjust to different size cracks and will only work if the rock is of a matching shape for the particular climbing aid.
To improve upon this problem, passive climbing aids of this sort have been geometrically shaped to provide for the possibility of a maximum number of possible fortuitous placements. Some can be placed in three or more possible orientations to increase the chances that a secure (and therefore safe) placement may be found.
In many cases, however, a crack in the rock has nearly smooth sides and there are no features to which such a climbing aid could safely attach. Active climbing aids such as those known as “cams” are useful protection for this type of rock formation, and there are numerous cam devices on the market, and many different mechanisms to operate them. These devices are often referred to as “cams” because they consist of metal pieces in the shape of a logarithmic spiral, “cam members,”, free to rotate on one or more axles but directed by springs or other mechanisms so as to expand to fill all the space in a crack. In the event that a force is applied to this type of climbing aid (as in the case of a fall or a load applied to the climbing aid), the physics of the logarithmic spiral provides for a tightening action due to force multiplication on the rock which prevents the device from sliding free of the crack.
To provide some general background information, a climbing cam typically includes one or more pairs of opposed cam members that typically have eccentric outer surfaces. The cam members are pivotally mounted one or more transverse shafts or axles in a way that allows opposed cams to pivot in opposite directions. The cams are spring-loaded and are activated with a trigger. When the trigger is pulled, the cams rotate from their open, extended position toward a closed or compressed position. The compressed cam is then inserted into a crack in a rock, and the trigger is released. When the trigger is released the cam members rotate under the force of the springs back toward their open position until the opposed cams contact the rock.
Assuming that the correct sized cam has been chosen for the crack in question, the cam members engage opposite sides of the crack to provide a frictional engagement with the rock, thereby providing an anchoring point. The cam typically includes a loop or sling of cable attached to it. A carabiner is typically attached to the cable and a loop of webbing is attached to the carabiner. Another carabiner is then connected to the opposite end of the webbing and the rope is passed through the second carabiner. This system allows the rope to move freely through the carabiners without unduly moving the cam and risking it's coming loose. Outwardly directed loads applied to the cam—as when a climber's fall is arrested—causes the cam members jam against the rock as described above.
The variety of sizes that may be accommodated by a climbing aid of the cam type I s often measured in terms of the “expansion range.” The expansion range may be described in various ways, but is typically defined as being numerically equal to the ratio of the largest to the smallest size crack to which the climbing aid may be applied safely. It is well known that for a climbing aid of the cam type with a single axle, the expansion range is limited by interference between the cam members and opposite sides of the crack. This limits the expansion range to about 1.62 for a cam angle of 13.25 degrees. Cams are available in numerous sizes, ranging from very large units having a safe expansion range of up to 4 inches or more, to very small units that have a safe expansion range of less than ½ inch. The safe expansion range of a cam, however, is somewhat less than the actual maximum range of the device.
The particular cam selected by the climber depends on several factors, including for example the topography of the crack into which the cam will be inserted, and the width of the crack. Selection of the correct sized cam and proper placement of the cam is obviously very important since improper sizing and placement can lead to failure of the protection when it is most needed.
Since it is usually the case that the climber does not know exactly what features will appear on the rock, it is necessary to carry several and sometimes many climbing aids of all sorts in order to accommodate all the possibilities which may be required. This increases the weight, bulk, and expense of equipment that is required. There is a need to increase the possibilities for placements of the climbing aids while at the same time decreasing weight. It will be appreciated therefore that it is beneficial to maximize the workable expansion range, as a cam that has a larger expansion range may be used in a wider variety of crack sizes.
U.S. Pat. No. 4,643,377 describes a climbing aid of the cam type in which two parallel axles are employed in order to increase the expansion range. With the appropriate arrangement, it is possible to use slightly larger cam units than on a single axle device and this results in an increase in the overall expansion range to about 1.68. This requires additional weight and mechanical complexity for the device, but these devices have become popular as a consequence of the increase in expansion range.
There is a need therefore for improved climbing cams that have increased working ranges.
Additionally, because a climbing cam is typically not loaded except in a fall or when direct aid from the device is required, due to motion of the climber and the rope, it is possible for the climbing aid to move or rattle around in the crack so as to fall out of the crack, move from the optimal position, or otherwise degrade the placement. This unintentional relative movement between the cam and the rock is often called “walking.” While stiffer springs in the climbing aid may help to alleviate this problem, it would require a large force of perhaps 100 pounds or more to hold the climbing aid in position. At this level, it is not feasible to add springs stiff enough to generate the outward force. There is a need for a mechanism capable of lock the climbing aid in place to prevent it from moving, or to minimize movement of the cam after it is placed.
The invention will be better understood and its numerous objects and advantages will be apparent by reference to the following detailed description of the invention when taken in conjunction with the following drawings, in which like numerals represent like members.
This invention relates to a climbing aid of the “cam” type of improved design, which increases the probability of a safe placement opportunity while at the same time reduces weight and increases security of the placement. It will be appreciated by one accustomed to the art of climbing that a “cam” type climbing aid which could be used over a greater variety of sizes would allow the climber to carry and purchase less equipment and would be a substantial improvement over prior art.
The present invention furnishes a group of analytical techniques for designing climbing aids of the cam type so as to increase the variety of sizes that a single climbing aid may accommodate while at the same time increasing placement security.
In accordance with one aspect of the invention, a climbing aid of the cam type is constructed in which the cam members are unequal in size and chosen in size so as to eliminate or reduce the aforementioned interference problem that limits the expansion range of the climbing aid.
In accordance with another aspect of the present invention, a climbing aid of the cam type is constructed in which the cam members are of unequal in size and configuration so as to significantly reduce the distance between one side of the crack and the axle of the climbing aid. This has the advantage of increasing the axial strength of the climbing aid and thereby increases security of the placement.
In accordance with yet another aspect of the present invention, a climbing aid of the cam type is constructed in which a loop of wire or other tethering material is wound around a feature on at least one of the cam members so as to cause it to rotate by more than 180 degrees when the trigger is actuated.
In accordance with yet another aspect of the present invention, a climbing aid of the cam type is constructed that includes a limitation on the relative rotation between adjacent cam members that limits their rotation over a range that may exceed 360 degrees.
In accordance with yet another aspect of the present invention, an additional cam member—usually a fifth cam member—is included in the climbing aid. This cam member has at least several degrees more cam angle than that of the other cam members and the cam angle is oriented in the opposite fashion from the other cam members so as to create an counteracting or counter-opposing force preventing motion of the climbing aid either in or out, or alternately up or down in the crack.
In accordance with yet another aspect of the present invention, the additional cam member may be provided with a triggering action due to a cable, wire, or string which is wrapped approximately half a turn around the back side (side not touching the rock) of said cam member. This cable is also attached to a trigger mechanism operated by the climber's fingers.
As background information, the logarithmic spiral that describes a cam member is a family of mathematical curves that are parameterized by a tangent angle referred to herein as the “cam angle.” The “cam angle” is important in the design of climbing aids of the cam type because it controls the force multiplication effect of the device as described below. Too much cam angle, and the climbing aid may slip due to inadequate sliding friction coefficient; too little cam angle, and the climbing aid or the rock may mechanically fail due to increased force multiplication. The “cam angle” is often chosen to be somewhere between 12 and 15 degrees in order to achieve the optimum balance of friction and strength over a variety of rock and placement conditions. Normally there is a trade-off between frictional gripping effects and expansion range of the climbing aid.
A cam member can be functionally described by its cam angle, which is the angle of the logarithmic spiral, as well as the subtended angle which is the total angle subtended looking from the axle point over which frictional contact with the rock may be achieved in the normal usage of the climbing aid. As will be described below, it is sometimes the case that a cam member has a varying cam angle as defined by the local average of the tangent angle of the logarithmic spiral. In this case, it is still possible to talk about the cam member in terms of approximate cam angle and total subtended angle as before.
With reference now to
In the embodiment illustrated in
Each cam member is connected to a trigger or activation bar 32 by a wire, which may be metal wire, wire cable, cord, or any other suitable material. Thus, wire 34 attaches to cam member 16 and wire 36 attaches to cam member 14. Cam members 18 and 20 are connected to trigger 32 by a common wire 38, which as shown in
The cam device 10 includes springs such as spring 37, which is partially visible in
Each cam member 14, 16, 18 and 20 is mounted on axle 12 for independent rotation about the axle. The two outermost cam members 14 and 16 move generally in unison when activation bar 32 is moved, and the two innermost cam members 18 and 20 likewise move in unison. This is due to the manner in which wires 34, 36, 38 and 39 connect trigger 32 to the respective cam members. With reference to
A spreader bar 46 is typically attached to the upright arms 22, 24 to maintain the U shape in U-shaped member 26.
Asymmetry of cam member size is used in the present invention to eliminate the interference that limits the expansion range of climbing aids of the cam type. The asymmetry also reduces the distance between the axle and at least one side of the rock crack thereby increasing axial stiffness and placement security. Referring now to
Cam 16 is larger than cam 20 and has a different shape. As detailed below, this asymmetry of cam member size and shape provides for more placement options and greater working range for cam 10.
Turning to
In
Based on the foregoing, while there is a variable range of relative rotation through which the two cam members 16 and 20 are capable of rotating, the relative rotation between the two is at least about 275°.
Turning now to
It will be appreciated that the stop tabs (e.g., 21 and 23) are convenient for adjusting the relative rotational positions of the cam members, but that rotation may be adjusted in similar ways, for example by adjusting the position and length of the wires 34, 36, 38, 39, and the distance along which trigger 32 is capable of sliding on arms 22, 24.
In
In
It will be apparent that the nominal position of the axle 12 when cam 10 is placed in a crack is closer to one side of the crack than the other. In contrast, with either a single or twin axle type of cams according the prior art, the nominal position of the axle is equidistant between the two sides of the crack. The offset or off-center position of axle 12 when cam 10 is placed in a crack is shown by dimensions L1 and L2 in
Under load, a climbing aid of the cam type has a tendency to mechanically fail when the forces of the load and the reaction forces of the rock combine so as to create an axially directed force at the axle. It is the stiffness of the rotating joint between the axle or axles and the cam members that determines the resistance of the climbing aid to failure in this manner.
Assuming that there are a total of four cam members, two of each size, defining L1 and L2 as the distances from the axle to the opposite rock faces, and assuming that the reaction torque due to a rotation by an angle perpendicular to the axle is equal to k times the angle, we can evaluate the reaction force on the axle in response to an axial displacement dx as:
F=dx*k*(2/L1+2/L2).
This equation actually has a minimum when L1+L2 are equal to the width of the crack, and reaches infinity as either L1 or L2 goes to zero. Consequently, the stiffness increases as the asymmetry between L1 and L2 increases. This can be thought of in terms of the familiar fact that to bend or break a rod that is supported at both ends, it is much easier to push in the middle rather than near the ends. The result is that the cam 10 shown in the drawings is stiffer and stronger in the asymmetric configuration—and becomes more so with increasing asymmetry.
This is especially useful for the case of very large cams in which axle failure in the axial direction becomes the dominant failure mechanism. By making the cam members unequal in size, increases in the stiffness of the order of three times can be generated greatly reducing the chance of failure and therefore increasing the safety—a greatly desirable feature. Additionally, for a given level of strength, less material is required and therefore weight may be reduced.
A substantial additional advantage in the expansion range of the climbing aid if the ratio of the sizes of the cam members is chosen to be within a certain range. By making the cam members unequal in size, it is possible to eliminate the interference that occurs in a normal climbing aid of the cam type. When the ratio between the size of the large cam (e.g., cam member 16) and the small cam (e.g., cam member 20) is sufficient, it is possible for the smaller cam member 20 to continue to rotate around within the crack without the tip touching the opposite side of the crack. It is therefore possible to accommodate a crack size for which a symmetric, or nearly symmetric climbing aid of the cam type would not be able to contract to accommodate.
The optimal condition may depend on the conditions of the rock and the strength of the materials used in the device and other factors, but it is possible to mathematically describe the conditions required to maximize the expansion range for the idealized case of a crack with perfectly parallel sides and a particular chosen cam angle, a. In this case, the geometry of the climbing aid can be described by the simultaneous solution to the following equations:
A*exp(pa*tan(a))=B*cos(a)
B*exp(pb*tan(a))*cos(pb+a)=−A*cos(a)
B*cos(pa+a)=A
Amax=A*exp(pa*tan(a))
Bmax=B*exp(pa*tan(a))
Where
Logarithmic Spiral Profile:
RA(theta)=A*exp(theta*tan(a))
RB(theta)=B*exp(theta*tan(a))
The following table shows the solution for these equations for cam angles often used by climbing aid manufacturers:
As mentioned before, there are a variety of reasons why it may be desirable to deviate from the calculated values above. For example, although it is not useful in a perfectly parallel crack, the addition of material on the large cam at the small end of the angle subtended increases the available range in a shallow or flaring crack because the interference created by the tip of the large cam may not occur or may occur at a greater contraction. Furthermore, since the perfectly smooth parallel crack is an idealization, deviations from the ratio may be desirable to take into account clearance even in the presence of finite roughness or a taper in the crack. Limitations of the mechanism may also play a role. For example, it may be desired to design the trigger 32 to limit the total angular travel to less than a certain number of degrees, as in the case of fixed rotation stops on the climbing aid. Even in the case of floating rotation stops described below, it may be desirable to limit the rotation to a certain value for mechanical reasons. As a practical matter, it is desirable to use round corners on the cam members and this too causes small deviations from the optimal ratio at the point of interference. As described above, for additional axial strength, additional deviations from symmetry may be desirable. In very rough cracks, additional range can be obtained by reducing the asymmetry somewhat, although interference that limits utility becomes increasingly likely in this case. One skilled in the art will appreciate all of these effects and others as reasons to deviate possibly significantly from these calculated values depending on the device and the conditions of its expected use. For example, deviations in the ratios enumerated above have little or no effect on the invention as claimed herein. More specifically, the ratio of Bmax to Amax may be as low as 1.4. It will be appreciated that these deviations are included in the spirit of the present invention.
It will be apparent that position of the relatively large cam members such as cam members 14 and 16 in
It may be desirable to have a variable cam angle and thereby deviate from the logarithmic spiral slightly. The logarithmic spiral is optimal for the case of cracks with scale invariant shape and near the middle of the expansion range of the cam. Because the cam 10 cannot expand and contract indefinitely and the roughness and strength of the rock (as well as the material of the climbing aid) varies at different length scales, it may be desirable to vary the effective cam angle slightly versus angle on the cam members so as to compensate for this effect. For example, climbing aids in which the cam angle gradually increases from 13.25 degrees to 16.5 degrees over the subtended angle so as to reduce loading at the cam member tips and prevent over-expansion of the climbing aid may be made. In this case, the cam angle is strictly defined only by a local average and the optimal size ratios will deviate from the calculated values, yet the desirable result of elimination of the interference can still be readily achieved with asymmetries comparable to those calculated.
The present invention is structurally configured so that the cam members are able to rotate collectively through a greater angle than on a climbing aid of the cam type according to the prior art. A further embodiment of the present invention is defined by the configuration of the spindle 27 (see
As noted above, it is sometimes desirable to limit the rotation of the cam members with respect to each other. In addition to the fixed stops 21, 23 described above, a floating rotation stop may be introduced to limit the rotation to a rotational angle greater than 360 degrees. Although not illustrated in the drawings, a floating stop may be defined by a stop ring that is free to rotate between large cam member 16 and the adjacent smaller cam member 20. A pin extending from the cam member 20 engages a cooperatively shaped stop surface on the stop ring and rests against a side face of cam member 16 at the point at which rotation is desired to be stopped. As the cams rotate in the opposite relative direction past 360 degrees, the pin on cam member 20 moves through a groove on cam member 16 and then engages the cooperatively shaped surface on cam member 16 so as to rotate the floating stop ring along with its further rotation and permit the rotation. A similar stopping action can be provided by interference on the opposite side face on cam member 16. Hence, a rotation substantially greater than 360 degrees can be provided for. At the same time, limits on the rotation can be enforced to arbitrary levels of strength with the correct selection of materials and design of the cam members, stop ring, and pins used. It will be appreciated that the roles of the large cam member 16 and the small cam member 20 could be reversed and the functioning of the rotation stop would be equivalent for the purposes of the climbing aid.
It will be appreciated that the cam 10 illustrated in
As has been previously mentioned, even when placed correctly in cracks, cams are subject to movement as the rope slides through webbing attached to the cams. This random movement can cause a cam to “walk” relative to the rock, jeopardizing placement quality and at times resulting in an unsafe placement. It is desirable therefore to make the climbing aid forcefully stay in place in the placement so as to increase security and safety. As an additional embodiment according to the present invention, a mechanism is provided that creates an opposing force that prevents the climbing aid from moving in the crack or placement. Conceptually the climbing aid is constructed as two climbing aids oriented in opposite directions. Since it is desirable to use the cam members in the climbing aid to provide forces in both directions in this case, the cam angles are adjusted as described below.
The alternative embodiment just mentioned is illustrated in
The cam device 10 includes springs spirally wound about the axle and having one end attached to one of the cam members and the opposite end attached to the adjacent cam member, also as described above with reference to
Each cam member 114, 116, 118 and 120 is independently rotationally mounted on the axle 123. However, the two outermost cams 114 and 120 move generally in unison when activation bar 132 is moved, and the two innermost cams 116 and 118 likewise move in unison. Movement of the cam members 114, 116, 118 and 120 is as described above with reference to the embodiment of
A spreader bar 146 is typically attached to the upright arms 122, 124 to maintain the U shape in U-shaped member 126. A sling 149, preferably fabricated from webbing material, is attached to the U-shaped member 126 at the apex of the U.
Returning to
With continued reference to
Turning now to
The functional effect of cam member 150 is readily seen and appreciated in
By considering the geometry of the cam 110 it will be seen that the locking action provided by cam member 150 can only be achieved if the cam angle of the cam member 150 is greater than that of the cam members normally included in the climbing aid, such as cam members 114, 116, 118 and 120. If not, an inward or upward motion of the climbing aid (arrow B,
A further consideration is applied in the design of the additional cam member in that by choosing a cam angle relatively close to the friction limit on many types of rock, it is possible to make an easy release of the locking action provided by cam member 150. Wiggling of the cam 110, while the additional cam member 150 is near the friction limit makes it possible for the additional cam member 150 to slip free momentarily and with tension on trigger 132, results in a freeing of the locking action. It will be appreciated that when the cam 110 is used to arrest a fall or for direct aid, the additional cam member 150 is not needed or used for support and therefore operating near the friction limit for this cam member is immaterial for the ability of the climbing aid to successfully sustain the load of the fall. Nonetheless, the locking action ensures that the climbing aid remains in the optimal spot in the crack or placement so as to hold the greatest possible force if and when that force is applied.
It will be appreciated that the aforementioned locking mechanism could be included on a climbing aid of either the asymmetric or conventional non-asymmetric type in essentially identical fashion.
While the present invention has been described in terms of a preferred embodiment, it will be appreciated by one of ordinary skill that the spirit and scope of the invention is not limited to those embodiments, but extend to the various modifications and equivalents as defined in the appended claims.
Number | Date | Country | |
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60494354 | Aug 2003 | US |