In reply to UKC Gear:
I was a little confused by the author's description of a cam's holding power versus range. The hand-waving description given, with liberal use of the word "obviously", bears no relation to the real reason that this fact is true. If I understand the argument correctly, the statement "obviously the more compact you make the shape ..." derives from the misapprehension that it is the action of the springs in the device which provide holding power, and that these are more compressed, and provide more force, in a more compact configuration. This is not the case. Only a small amount of force is required from the springs, and this is not a relevant design limitation. The holding power arises from a camming action caused by pulling on the stem itself, and making the device seek to open in the crack. Thus, the device holds more strongly the more it is pulled. All the springs are required to do is maintain the cams in contact with the rock so that this process can be initiated.
The very simplest, rigid-body model of the operation of a spring-loaded camming device (SLCD) suggests that, by using logarithmic spirals to ensure a constant camming angle, there is a very simple design requirement, that the camming angle (defined as the angle between a line drawn between the two points of contact, and a line between any one of these and the common axle) be sufficiently small. This property would be unrelated to camming range, which can be independently increased by the use of dual axels or otherwise, and so long as a good choice of camming angle were made, the SLCD would be as strong as it needs to be. While this model falls short, and is in fact wrong in its conclusions, the description given by the review's author extends no further than this, and his instances of using the word "obviously" are unrelated to the reason that there is a relationship between camming range and holding strength.
The full description of the behaviour of cams is contained in the following excellent article, which depends on allowing the cam bodies to deform elastically:
http://web.mit.edu/custer/www/rocking/cams/cams.body.html . It does explain why a larger range will be traded off against holding power, though this is unrelated to the description given in the review, and I would suggest that there is little that is obvious about it.
Che Gannararelli, research fellow,
Department of Physics and Astronomy, University College London