
Originally Posted by
Glenn NK
As Colin demonstrated in his linked post, strength is seldom the problem with tripods; the problem is that they are often not stiff enough. In post #33, Manfred explained very clearly what stiffness is all about.
I'll take it a bit further using physics/math.
The following applies:
The stiffness of any prismatic section (tripod legs) = E.I/L, where:
E is the modulus of elasticity (Young's modulus)
I is the moment of intertia,
L is the length of the section.
The larger the diameter, the stiffer the legs will be; the longer the legs, the less stiff they will be.
For a given material (CF or Al), the "E" value is fixed as it is a material property, and for a given tripod height, the lengths are pretty well fixed, leaving "I" as the variable of concern.
In the equation for a hollow round section for "I", the diameter is taken to the fourth power, so the diameter has a huge effect on the stiffness of the tripod.
I measured the diameters of the legs of my tripod:
largest 28 and 24 mm (inner and outer diameters)
medium 24 and 20 mm
smallest 20 and 16 mm
The stiffness of the largest section is 1.71 times as stiff as the medium section.
The stiffness of the medium section is 1.91 times as stiff as the smallest section.
A few things can be learned from this:
1) Buy the largest diameter legs you can afford and carry (see 4 below).
2) If at all possible, don't extend the smallest sections.
3) Since the centre column is usually the same diameter as the largest section, if it is raised a few inches, it won't have much effect on the overall stiffness.
4) The weight of a tubular section varies as the first power of the diameter, weight doesn't grow as fast as stiffness with increase in leg diameter.
Glenn