Plate weights and different combinations.
In the US, plates for barbells and dumbbells come six common sizes:
Outside of the US, plates come in these sizes:
The Olympic bar has these properties:
The "Standard" bar typically has these properties:
The "EZ" bar or Olympic curl bar typically has these properties:
Here is a calculator for different combinations of plates:
2.5# 5# 10# 25# 35# 45# Bar#
Single Plate Weight = # = Kg
Double Plate Weight = # = Kg
If you had a pair of plates at each weight, then they could be combined in 2*2*2*2*2*2 = 2^6 = 64 different ways on a balanced barbell. Some of those combinations would add up to the same weight (EG: A pair of 25# plates and a pair of 10# plates would weigh 70#, which is equal to a pair of 35# plates). If all six pairs of plates were put on a barbell, you would get 245# in plates. The funny thing is that the six pairs of plates can be combined to form every number divisible by 5 from 0# (none of the plates) to 245# (all of the plates), except for 40#, 45#, 200#, and 205#.
This is why the basic 255# set of plates comes with 2 pairs of 5# plates and 1 pair of each of the other plates. The extra 5# plates make it possible to form the 40#, 45#, 200#, and 205# combinations. Furthermore, with the extra 5# plates, the 250# and 255# combinations are possible. The extra 5# plates actually enable 2*3*2*2*2*2 = 3*2^5 = 96 combinations on a balanced barbell, but most (26) of the "new" combinations add up amounts that could be formed without the extra 5# plates.
| Plates | Single Plate Weight | Double Plate Weight | |||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Combo No | 45 | 35 | 25 | 10 | 5 | 2.5 | Total | 45 | 35 | 25 | 10 | 5 | 2.5 | Total | 45 | 35 | 25 | 10 | 5 | 2.5 | Total |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0.0 | 0 | 0 | 0 | 0 | 0 | 0 | 0.0 |
| 2 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 2.5 | 2.5 | 0 | 0 | 0 | 0 | 0 | 5 | 5.0 |
| 3 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 5 | 0 | 5.0 | 0 | 0 | 0 | 0 | 10 | 0 | 10.0 |
| 4 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 5 | 2.5 | 7.5 | 0 | 0 | 0 | 0 | 10 | 5 | 15.0 |
| 5 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 10 | 0 | 0 | 10.0 | 0 | 0 | 0 | 20 | 0 | 0 | 20.0 |
| 6 | 0 | 0 | 0 | 1 | 0 | 1 | 2 | 0 | 0 | 0 | 10 | 0 | 2.5 | 12.5 | 0 | 0 | 0 | 20 | 0 | 5 | 25.0 |
| 7 | 0 | 0 | 0 | 1 | 1 | 0 | 2 | 0 | 0 | 0 | 10 | 5 | 0 | 15.0 | 0 | 0 | 0 | 20 | 10 | 0 | 30.0 |
| 8 | 0 | 0 | 0 | 1 | 1 | 1 | 3 | 0 | 0 | 0 | 10 | 5 | 2.5 | 17.5 | 0 | 0 | 0 | 20 | 10 | 5 | 35.0 |
| 9 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 25 | 0 | 0 | 0 | 25.0 | 0 | 0 | 50 | 0 | 0 | 0 | 50.0 |
| 10 | 0 | 0 | 1 | 0 | 0 | 1 | 2 | 0 | 0 | 25 | 0 | 0 | 2.5 | 27.5 | 0 | 0 | 50 | 0 | 0 | 5 | 55.0 |
| 11 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 0 | 0 | 25 | 0 | 5 | 0 | 30.0 | 0 | 0 | 50 | 0 | 10 | 0 | 60.0 |
| 12 | 0 | 0 | 1 | 0 | 1 | 1 | 3 | 0 | 0 | 25 | 0 | 5 | 2.5 | 32.5 | 0 | 0 | 50 | 0 | 10 | 5 | 65.0 |
| 13 | 0 | 0 | 1 | 1 | 0 | 0 | 2 | 0 | 0 | 25 | 10 | 0 | 0 | 35.0 | 0 | 0 | 50 | 20 | 0 | 0 | 70.0 |
| 14 | 0 | 0 | 1 | 1 | 0 | 1 | 3 | 0 | 0 | 25 | 10 | 0 | 2.5 | 37.5 | 0 | 0 | 50 | 20 | 0 | 5 | 75.0 |
| 15 | 0 | 0 | 1 | 1 | 1 | 0 | 3 | 0 | 0 | 25 | 10 | 5 | 0 | 40.0 | 0 | 0 | 50 | 20 | 10 | 0 | 80.0 |
| 16 | 0 | 0 | 1 | 1 | 1 | 1 | 4 | 0 | 0 | 25 | 10 | 5 | 2.5 | 42.5 | 0 | 0 | 50 | 20 | 10 | 5 | 85.0 |
| 17 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 35 | 0 | 0 | 0 | 0 | 35.0 | 0 | 70 | 0 | 0 | 0 | 0 | 70.0 |
| 18 | 0 | 1 | 0 | 0 | 0 | 1 | 2 | 0 | 35 | 0 | 0 | 0 | 2.5 | 37.5 | 0 | 70 | 0 | 0 | 0 | 5 | 75.0 |
| 19 | 0 | 1 | 0 | 0 | 1 | 0 | 2 | 0 | 35 | 0 | 0 | 5 | 0 | 40.0 | 0 | 70 | 0 | 0 | 10 | 0 | 80.0 |
| 20 | 0 | 1 | 0 | 0 | 1 | 1 | 3 | 0 | 35 | 0 | 0 | 5 | 2.5 | 42.5 | 0 | 70 | 0 | 0 | 10 | 5 | 85.0 |
| 21 | 0 | 1 | 0 | 1 | 0 | 0 | 2 | 0 | 35 | 0 | 10 | 0 | 0 | 45.0 | 0 | 70 | 0 | 20 | 0 | 0 | 90.0 |
| 22 | 0 | 1 | 0 | 1 | 0 | 1 | 3 | 0 | 35 | 0 | 10 | 0 | 2.5 | 47.5 | 0 | 70 | 0 | 20 | 0 | 5 | 95.0 |
| 23 | 0 | 1 | 0 | 1 | 1 | 0 | 3 | 0 | 35 | 0 | 10 | 5 | 0 | 50.0 | 0 | 70 | 0 | 20 | 10 | 0 | 100.0 |
| 24 | 0 | 1 | 0 | 1 | 1 | 1 | 4 | 0 | 35 | 0 | 10 | 5 | 2.5 | 52.5 | 0 | 70 | 0 | 20 | 10 | 5 | 105.0 |
| 25 | 0 | 1 | 1 | 0 | 0 | 0 | 2 | 0 | 35 | 25 | 0 | 0 | 0 | 60.0 | 0 | 70 | 50 | 0 | 0 | 0 | 120.0 |
| 26 | 0 | 1 | 1 | 0 | 0 | 1 | 3 | 0 | 35 | 25 | 0 | 0 | 2.5 | 62.5 | 0 | 70 | 50 | 0 | 0 | 5 | 125.0 |
| 27 | 0 | 1 | 1 | 0 | 1 | 0 | 3 | 0 | 35 | 25 | 0 | 5 | 0 | 65.0 | 0 | 70 | 50 | 0 | 10 | 0 | 130.0 |
| 28 | 0 | 1 | 1 | 0 | 1 | 1 | 4 | 0 | 35 | 25 | 0 | 5 | 2.5 | 67.5 | 0 | 70 | 50 | 0 | 10 | 5 | 135.0 |
| 29 | 0 | 1 | 1 | 1 | 0 | 0 | 3 | 0 | 35 | 25 | 10 | 0 | 0 | 70.0 | 0 | 70 | 50 | 20 | 0 | 0 | 140.0 |
| 30 | 0 | 1 | 1 | 1 | 0 | 1 | 4 | 0 | 35 | 25 | 10 | 0 | 2.5 | 72.5 | 0 | 70 | 50 | 20 | 0 | 5 | 145.0 |
| 31 | 0 | 1 | 1 | 1 | 1 | 0 | 4 | 0 | 35 | 25 | 10 | 5 | 0 | 75.0 | 0 | 70 | 50 | 20 | 10 | 0 | 150.0 |
| 32 | 0 | 1 | 1 | 1 | 1 | 1 | 5 | 0 | 35 | 25 | 10 | 5 | 2.5 | 77.5 | 0 | 70 | 50 | 20 | 10 | 5 | 155.0 |
| 33 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 45 | 0 | 0 | 0 | 0 | 0 | 45.0 | 90 | 0 | 0 | 0 | 0 | 0 | 90.0 |
| 34 | 1 | 0 | 0 | 0 | 0 | 1 | 2 | 45 | 0 | 0 | 0 | 0 | 2.5 | 47.5 | 90 | 0 | 0 | 0 | 0 | 5 | 95.0 |
| 35 | 1 | 0 | 0 | 0 | 1 | 0 | 2 | 45 | 0 | 0 | 0 | 5 | 0 | 50.0 | 90 | 0 | 0 | 0 | 10 | 0 | 100.0 |
| 36 | 1 | 0 | 0 | 0 | 1 | 1 | 3 | 45 | 0 | 0 | 0 | 5 | 2.5 | 52.5 | 90 | 0 | 0 | 0 | 10 | 5 | 105.0 |
| 37 | 1 | 0 | 0 | 1 | 0 | 0 | 2 | 45 | 0 | 0 | 10 | 0 | 0 | 55.0 | 90 | 0 | 0 | 20 | 0 | 0 | 110.0 |
| 38 | 1 | 0 | 0 | 1 | 0 | 1 | 3 | 45 | 0 | 0 | 10 | 0 | 2.5 | 57.5 | 90 | 0 | 0 | 20 | 0 | 5 | 115.0 |
| 39 | 1 | 0 | 0 | 1 | 1 | 0 | 3 | 45 | 0 | 0 | 10 | 5 | 0 | 60.0 | 90 | 0 | 0 | 20 | 10 | 0 | 120.0 |
| 40 | 1 | 0 | 0 | 1 | 1 | 1 | 4 | 45 | 0 | 0 | 10 | 5 | 2.5 | 62.5 | 90 | 0 | 0 | 20 | 10 | 5 | 125.0 |
| 41 | 1 | 0 | 1 | 0 | 0 | 0 | 2 | 45 | 0 | 25 | 0 | 0 | 0 | 70.0 | 90 | 0 | 50 | 0 | 0 | 0 | 140.0 |
| 42 | 1 | 0 | 1 | 0 | 0 | 1 | 3 | 45 | 0 | 25 | 0 | 0 | 2.5 | 72.5 | 90 | 0 | 50 | 0 | 0 | 5 | 145.0 |
| 43 | 1 | 0 | 1 | 0 | 1 | 0 | 3 | 45 | 0 | 25 | 0 | 5 | 0 | 75.0 | 90 | 0 | 50 | 0 | 10 | 0 | 150.0 |
| 44 | 1 | 0 | 1 | 0 | 1 | 1 | 4 | 45 | 0 | 25 | 0 | 5 | 2.5 | 77.5 | 90 | 0 | 50 | 0 | 10 | 5 | 155.0 |
| 45 | 1 | 0 | 1 | 1 | 0 | 0 | 3 | 45 | 0 | 25 | 10 | 0 | 0 | 80.0 | 90 | 0 | 50 | 20 | 0 | 0 | 160.0 |
| 46 | 1 | 0 | 1 | 1 | 0 | 1 | 4 | 45 | 0 | 25 | 10 | 0 | 2.5 | 82.5 | 90 | 0 | 50 | 20 | 0 | 5 | 165.0 |
| 47 | 1 | 0 | 1 | 1 | 1 | 0 | 4 | 45 | 0 | 25 | 10 | 5 | 0 | 85.0 | 90 | 0 | 50 | 20 | 10 | 0 | 170.0 |
| 48 | 1 | 0 | 1 | 1 | 1 | 1 | 5 | 45 | 0 | 25 | 10 | 5 | 2.5 | 87.5 | 90 | 0 | 50 | 20 | 10 | 5 | 175.0 |
| 49 | 1 | 1 | 0 | 0 | 0 | 0 | 2 | 45 | 35 | 0 | 0 | 0 | 0 | 80.0 | 90 | 70 | 0 | 0 | 0 | 0 | 160.0 |
| 50 | 1 | 1 | 0 | 0 | 0 | 1 | 3 | 45 | 35 | 0 | 0 | 0 | 2.5 | 82.5 | 90 | 70 | 0 | 0 | 0 | 5 | 165.0 |
| 51 | 1 | 1 | 0 | 0 | 1 | 0 | 3 | 45 | 35 | 0 | 0 | 5 | 0 | 85.0 | 90 | 70 | 0 | 0 | 10 | 0 | 170.0 |
| 52 | 1 | 1 | 0 | 0 | 1 | 1 | 4 | 45 | 35 | 0 | 0 | 5 | 2.5 | 87.5 | 90 | 70 | 0 | 0 | 10 | 5 | 175.0 |
| 53 | 1 | 1 | 0 | 1 | 0 | 0 | 3 | 45 | 35 | 0 | 10 | 0 | 0 | 90.0 | 90 | 70 | 0 | 20 | 0 | 0 | 180.0 |
| 54 | 1 | 1 | 0 | 1 | 0 | 1 | 4 | 45 | 35 | 0 | 10 | 0 | 2.5 | 92.5 | 90 | 70 | 0 | 20 | 0 | 5 | 185.0 |
| 55 | 1 | 1 | 0 | 1 | 1 | 0 | 4 | 45 | 35 | 0 | 10 | 5 | 0 | 95.0 | 90 | 70 | 0 | 20 | 10 | 0 | 190.0 |
| 56 | 1 | 1 | 0 | 1 | 1 | 1 | 5 | 45 | 35 | 0 | 10 | 5 | 2.5 | 97.5 | 90 | 70 | 0 | 20 | 10 | 5 | 195.0 |
| 57 | 1 | 1 | 1 | 0 | 0 | 0 | 3 | 45 | 35 | 25 | 0 | 0 | 0 | 105.0 | 90 | 70 | 50 | 0 | 0 | 0 | 210.0 |
| 58 | 1 | 1 | 1 | 0 | 0 | 1 | 4 | 45 | 35 | 25 | 0 | 0 | 2.5 | 107.5 | 90 | 70 | 50 | 0 | 0 | 5 | 215.0 |
| 59 | 1 | 1 | 1 | 0 | 1 | 0 | 4 | 45 | 35 | 25 | 0 | 5 | 0 | 110.0 | 90 | 70 | 50 | 0 | 10 | 0 | 220.0 |
| 60 | 1 | 1 | 1 | 0 | 1 | 1 | 5 | 45 | 35 | 25 | 0 | 5 | 2.5 | 112.5 | 90 | 70 | 50 | 0 | 10 | 5 | 225.0 |
| 61 | 1 | 1 | 1 | 1 | 0 | 0 | 4 | 45 | 35 | 25 | 10 | 0 | 0 | 115.0 | 90 | 70 | 50 | 20 | 0 | 0 | 230.0 |
| 62 | 1 | 1 | 1 | 1 | 0 | 1 | 5 | 45 | 35 | 25 | 10 | 0 | 2.5 | 117.5 | 90 | 70 | 50 | 20 | 0 | 5 | 235.0 |
| 63 | 1 | 1 | 1 | 1 | 1 | 0 | 5 | 45 | 35 | 25 | 10 | 5 | 0 | 120.0 | 90 | 70 | 50 | 20 | 10 | 0 | 240.0 |
| 64 | 1 | 1 | 1 | 1 | 1 | 1 | 6 | 45 | 35 | 25 | 10 | 5 | 2.5 | 122.5 | 90 | 70 | 50 | 20 | 10 | 5 | 245.0 |
| 65 | 0 | 0 | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 0 | 0 | 10 | 0 | 10.0 | 0 | 0 | 0 | 0 | 20 | 0 | 20.0 |
| 66 | 0 | 0 | 0 | 0 | 2 | 1 | 3 | 0 | 0 | 0 | 0 | 10 | 2.5 | 12.5 | 0 | 0 | 0 | 0 | 20 | 5 | 25.0 |
| 67 | 0 | 0 | 0 | 1 | 2 | 0 | 3 | 0 | 0 | 0 | 10 | 10 | 0 | 20.0 | 0 | 0 | 0 | 20 | 20 | 0 | 40.0 |
| 68 | 0 | 0 | 0 | 1 | 2 | 1 | 4 | 0 | 0 | 0 | 10 | 10 | 2.5 | 22.5 | 0 | 0 | 0 | 20 | 20 | 5 | 45.0 |
| 69 | 0 | 0 | 1 | 0 | 2 | 0 | 3 | 0 | 0 | 25 | 0 | 10 | 0 | 35.0 | 0 | 0 | 50 | 0 | 20 | 0 | 70.0 |
| 70 | 0 | 0 | 1 | 0 | 2 | 1 | 4 | 0 | 0 | 25 | 0 | 10 | 2.5 | 37.5 | 0 | 0 | 50 | 0 | 20 | 5 | 75.0 |
| 71 | 0 | 0 | 1 | 1 | 2 | 0 | 4 | 0 | 0 | 25 | 10 | 10 | 0 | 45.0 | 0 | 0 | 50 | 20 | 20 | 0 | 90.0 |
| 72 | 0 | 0 | 1 | 1 | 2 | 1 | 5 | 0 | 0 | 25 | 10 | 10 | 2.5 | 47.5 | 0 | 0 | 50 | 20 | 20 | 5 | 95.0 |
| 73 | 0 | 1 | 0 | 0 | 2 | 0 | 3 | 0 | 35 | 0 | 0 | 10 | 0 | 45.0 | 0 | 70 | 0 | 0 | 20 | 0 | 90.0 |
| 74 | 0 | 1 | 0 | 0 | 2 | 1 | 4 | 0 | 35 | 0 | 0 | 10 | 2.5 | 47.5 | 0 | 70 | 0 | 0 | 20 | 5 | 95.0 |
| 75 | 0 | 1 | 0 | 1 | 2 | 0 | 4 | 0 | 35 | 0 | 10 | 10 | 0 | 55.0 | 0 | 70 | 0 | 20 | 20 | 0 | 110.0 |
| 76 | 0 | 1 | 0 | 1 | 2 | 1 | 5 | 0 | 35 | 0 | 10 | 10 | 2.5 | 57.5 | 0 | 70 | 0 | 20 | 20 | 5 | 115.0 |
| 77 | 0 | 1 | 1 | 0 | 2 | 0 | 4 | 0 | 35 | 25 | 0 | 10 | 0 | 70.0 | 0 | 70 | 50 | 0 | 20 | 0 | 140.0 |
| 78 | 0 | 1 | 1 | 0 | 2 | 1 | 5 | 0 | 35 | 25 | 0 | 10 | 2.5 | 72.5 | 0 | 70 | 50 | 0 | 20 | 5 | 145.0 |
| 79 | 0 | 1 | 1 | 1 | 2 | 0 | 5 | 0 | 35 | 25 | 10 | 10 | 0 | 80.0 | 0 | 70 | 50 | 20 | 20 | 0 | 160.0 |
| 80 | 0 | 1 | 1 | 1 | 2 | 1 | 6 | 0 | 35 | 25 | 10 | 10 | 2.5 | 82.5 | 0 | 70 | 50 | 20 | 20 | 5 | 165.0 |
| 81 | 1 | 0 | 0 | 0 | 2 | 0 | 3 | 45 | 0 | 0 | 0 | 10 | 0 | 55.0 | 90 | 0 | 0 | 0 | 20 | 0 | 110.0 |
| 82 | 1 | 0 | 0 | 0 | 2 | 1 | 4 | 45 | 0 | 0 | 0 | 10 | 2.5 | 57.5 | 90 | 0 | 0 | 0 | 20 | 5 | 115.0 |
| 83 | 1 | 0 | 0 | 1 | 2 | 0 | 4 | 45 | 0 | 0 | 10 | 10 | 0 | 65.0 | 90 | 0 | 0 | 20 | 20 | 0 | 130.0 |
| 84 | 1 | 0 | 0 | 1 | 2 | 1 | 5 | 45 | 0 | 0 | 10 | 10 | 2.5 | 67.5 | 90 | 0 | 0 | 20 | 20 | 5 | 135.0 |
| 85 | 1 | 0 | 1 | 0 | 2 | 0 | 4 | 45 | 0 | 25 | 0 | 10 | 0 | 80.0 | 90 | 0 | 50 | 0 | 20 | 0 | 160.0 |
| 86 | 1 | 0 | 1 | 0 | 2 | 1 | 5 | 45 | 0 | 25 | 0 | 10 | 2.5 | 82.5 | 90 | 0 | 50 | 0 | 20 | 5 | 165.0 |
| 87 | 1 | 0 | 1 | 1 | 2 | 0 | 5 | 45 | 0 | 25 | 10 | 10 | 0 | 90.0 | 90 | 0 | 50 | 20 | 20 | 0 | 180.0 |
| 88 | 1 | 0 | 1 | 1 | 2 | 1 | 6 | 45 | 0 | 25 | 10 | 10 | 2.5 | 92.5 | 90 | 0 | 50 | 20 | 20 | 5 | 185.0 |
| 89 | 1 | 1 | 0 | 0 | 2 | 0 | 4 | 45 | 35 | 0 | 0 | 10 | 0 | 90.0 | 90 | 70 | 0 | 0 | 20 | 0 | 180.0 |
| 90 | 1 | 1 | 0 | 0 | 2 | 1 | 5 | 45 | 35 | 0 | 0 | 10 | 2.5 | 92.5 | 90 | 70 | 0 | 0 | 20 | 5 | 185.0 |
| 91 | 1 | 1 | 0 | 1 | 2 | 0 | 5 | 45 | 35 | 0 | 10 | 10 | 0 | 100.0 | 90 | 70 | 0 | 20 | 20 | 0 | 200.0 |
| 92 | 1 | 1 | 0 | 1 | 2 | 1 | 6 | 45 | 35 | 0 | 10 | 10 | 2.5 | 102.5 | 90 | 70 | 0 | 20 | 20 | 5 | 205.0 |
| 93 | 1 | 1 | 1 | 0 | 2 | 0 | 5 | 45 | 35 | 25 | 0 | 10 | 0 | 115.0 | 90 | 70 | 50 | 0 | 20 | 0 | 230.0 |
| 94 | 1 | 1 | 1 | 0 | 2 | 1 | 6 | 45 | 35 | 25 | 0 | 10 | 2.5 | 117.5 | 90 | 70 | 50 | 0 | 20 | 5 | 235.0 |
| 95 | 1 | 1 | 1 | 1 | 2 | 0 | 6 | 45 | 35 | 25 | 10 | 10 | 0 | 125.0 | 90 | 70 | 50 | 20 | 20 | 0 | 250.0 |
| 96 | 1 | 1 | 1 | 1 | 2 | 1 | 7 | 45 | 35 | 25 | 10 | 10 | 2.5 | 127.5 | 90 | 70 | 50 | 20 | 20 | 5 | 255.0 |
A similar table could be made for the typical 630# set (4*2.5#, 6*5#, 6*10#, 4*25#, 2*35#, and 8*45#) and the typical 1,260# set (8*2.5#, 12*5#, 12*10#, 8*25#, 4*35#, and 16*45#).
2008-04-28 15:09:50Z