Lance, It is truly amazing how some people have a real talent for distilling complex subjects down to a few important points. You are one of those people. Some may disagree which is their right, but the way Mike and I understand scale is this: Scale refers to all weights which implies material properties including densities remain the same and only the dimensions of the scaled down object changes in direct proportion to the full size object. We have no information on construction of Cotton Clads so we can't comment on those, but a scale shore battery with embrasures and maybe parapets made of cotton bales could easily be built with all items scaled down equally. Since we cannot afford to do this, we must decide how many full size bales would the artillery have had to penetrate to cause damage to the batteries materiel or personnel. We would then place that number into our test fixture and fire away.
As for the weight of a 1/6 scale cotton bale, you divide the full size weight, 500 lbs., by the cube of the scale you are using, in this case 6, so 6x6x6=216. 500/216=2.32 lbs. So a 1/6 scale cotton bale dimensioned according to the Cotton Convention in New Orleans, La of 1895, would weigh 2.32 lbs.
Cannonmn, Cat Whisperer and KABAR2, We will settle the value of peanut butter as a target at this year's New River Valley Cannon and Mortar Shoot in Floyd, Virginia. When we get there, Mike and I will get a 4" Dia. steel pipe about 25 feet long and fill it with the peanut butter of cannonmn's choice and then seal the ends with Saran Wrap and tape. We will align the pipe with the our cannon's axis and bring one end of this peanut butter "torpedo" within 2 inches of the muzzle for MAXIMUM EFFECT! We would, of course, offer the privilege of lighting the fuse to the peanut butter target's originator, cannonmn. We would also mention to him how insulted we would be if he did not stand by, directly behind, the 7" Brooke Rifle as he fired it. It could be the most humorous video clip ever produced for his legions of U-Tube fans. FYI, John; Ed will be standing with us about 25 feet to right or left of the gun!
KABAR2, Only dimensions and weights change, not density. If you change the density of any of these materials, then you change the physical properties of the material and that material's ability to resist an impacting projectile which has been reduced in size proportionally. In our opinion we should merely reduce the quantity of material present to resist the shot.
Double D, Mike and I discussed your comments for about three hours today, a long lunch it was. Please allow us to illustrate our thinking on this topic. Lets say that you were on a design team in 1925 charged with the design of an improved 16" naval gun capable of increasing the projectile velocity up to 2,700 fps to meet the requirement of a twenty-two mile functional range. You are given a paltry $50 budget to do your projectile impact experiments. So you figure you can do reduced scale tests only. You buy a surplus 30-06, a Springfield, '03 and the engineering machine shop produces a few bullets which duplicate scale weight, about 150 grs., size and hardness of the naval shells. The proportion is 1:51.95=.308:16.0. You realize a big problem exists; in order to hit your proportionally reduced target, you must reduce the range. Your rifle has only about one-tenth the range of the 16 inch gun. What do you do? You must reduce the range, but by how much? Practical considerations take over and the ability to hit and produce an effect on the target brings the target closer to, say about 200 yards. So what produces the effect on the target? You decide:
energy at the target distance and bullet form. In order for the energy of the .308 dia. bullet to be proportional to the energy of the 16" round, the velocity MUST be the same at the 200 yards range. Using govt. instruments and charts at your disposal you calculate the big gun velocity at 200 yards and range test your 30-06 to get reloads that will match that big gun velocity, about 2,625 fps. Then you can do your impact tests on the 5/8" armor plate at 200 yards.
So, if there was enough data available from those Civil War experiments on specific velocities at a given range, we would be far closer to Apples to Apples. Alas, there is not. We have to be happy with approximations and SWAGS. However, we firmly believe, that if you hit a scaled down target with a like-scaled down bullet at the same velocity as the full-size, original, at ANY convenient range, you will achieve a correct, proportional result.
Getting back to our experiment; we are trying to duplicate the efforts of Commander Brooke when he was testing the 7" Treble-Banded Brooke Rifle along the James River just south of Richmond, VA in 1863 before its delivery to Charleston, SC. The bolt was a 120 pound wrought iron, bolt designed for armor penetration. The range was 285 yards. So we have to determine a simple way to predict the rate of the bolt's velocity decrease over it's entire max range. The max range of the 120 lb. bolt at 1,300 fps muzzle velocity is 8,000 yards. The maximum range of our 1/6 scale bolt is only about 2,000 yards due to it's much inferior ballistic coefficient and much reduced powder charge. In rough figures we contend that our bolt sheds it's initial velocity at a rate approximately four times as fast as the full-size original did. So, for the velocities to be close to the same, we must reduce the range so our bolt which quickly slows down can match the originals velocity at 285 yards. With all values expressed in yards, we find that 2,000 : 8,000 = X : 285, X = 71.25 Our scale thickness target will be placed at 71.25 yards where we believe the velocity of 1180 fps for our 8.89 oz. bolt will pretty closely match the velocity of the 120 lb. original at 285 yards.
Terry C. I finally swallowed my pride and asked my son to work on the "still capture" problem I had with my little camera videos. ZackaryX solved my 5 hour problem in about 3 minutes!! So here is the first still which is from, "Penetration of the 1" Boiler Plate", the movie:
It's a little small, but it does show quite a comotion as that thick steel plate was struck. We estimate the velocity of the 9 oz. bolt conservatively at 1,600 fps. That's 22,388 ft. lbs. of energy on target!
That's our thinking on these subjects,
Mike and Tracy