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Message: <blockquote data-quote="Cleon" data-source="post: 8219118" data-attributes="member: 57383">Breaking Good or Scaling of Break DCs and LoadsThere were a few additions I planned to add to this thread but got distracted by life and the internet as one does.Firstly, going back to the original idea of the "<a href="https://www.enworld.org/threads/a-ropey-issue.676862/post-8141903" target="_blank">Strength/Carrying Capacity</a>" method to determine Break DCs, you can reverse-engineer this to get a rough figure for the Break DC of any object meant to handle a particular load.Starting with the basics, 3E's <a href="https://www.d20srd.org/srd/carryingCapacity.htm" target="_blank">Carrying Capacity</a> rules is based on a creature's Strength Score.  We've been scaling an object's breaking point to the Max Lift of a creature - if a creature can lift a Max Lift who's weight is equal to or greater than the Safe Load of an object, there's a chance that the object will break. For convenience, we've assumed this Safe Load is one-sixth as much as the Breaking Load.Since Strength checks are rolled on d20s then obviously the odds of breaking starts at 5% and increases in 5% graduations until it reaches 100%. Therefore, if there's a 5% chance of a creature with Strength X creature breaking a line, a creature with Strength X+38 will have a 100% chance (i.e. a Strength 16 orc has a +3 Strength modifier, so has a 5% chance of making a Break DC 23 roll to snap a hempen rope by rolling a 20; a Strength 54 Titan has a +22 Strength modifier so can hit that DC 23 by rolling a 1).  A Strength increase from X to X+38 will increase a creature's maximum load increases a tad over nineteen-fold by the way - if you following the official Strength tables exactly the factor varies from around 19.0 to 19.5 - unless creature X has a Strength under 10, which causes their carrying capacity to switch from a geometric progression to a linear one.Here's a table showing how Carrying Capacity increases with Strength according to the Rules As Written:Strength & Carrying Capacity Table<table style='width: 100%'><tr><td>Strength</td><td>Heavy Load </td><td>Max Load </td><td>Max Lift </td><td>Mod¹ </td><td>Ratio² </td></tr><tr><td>0 </td><td>n/a </td><td>n/a </td><td>n/a </td><td>n/a </td><td>n/a </td></tr><tr><td>1 </td><td>7-10 lb. </td><td>10 lb. </td><td>20 lb. </td><td>–5 </td><td>0.10 </td></tr><tr><td>2 </td><td>14-20 lb. </td><td>20 lb. </td><td>40 lb. </td><td>–4 </td><td>0.20 </td></tr><tr><td>3 </td><td>21-30 lb. </td><td>30 lb. </td><td>60 lb. </td><td>–4 </td><td>0.30 </td></tr><tr><td>4 </td><td>27-40 lb. </td><td>40 lb. </td><td>80 lb. </td><td>–3 </td><td>0.40 </td></tr><tr><td>5 </td><td>34-50 lb. </td><td>50 lb. </td><td>100 lb. </td><td>–3 </td><td>0.50 </td></tr><tr><td>6 </td><td>41-60 lb. </td><td>60 lb. </td><td>120 lb. </td><td>–2 </td><td>0.60 </td></tr><tr><td>7 </td><td>47-70 lb. </td><td>70 lb. </td><td>140 lb. </td><td>–2 </td><td>0.70 </td></tr><tr><td>8 </td><td>54-80 lb. </td><td>80 lb. </td><td>160 lb. </td><td>–1 </td><td>0.80 </td></tr><tr><td>9 </td><td>61-90 lb. </td><td>90 lb. </td><td>180 lb. </td><td>–1 </td><td>0.90 </td></tr><tr><td>10 </td><td>67-100 lb. </td><td>100 lb. </td><td>200 lb. </td><td>+0 </td><td>1.00 </td></tr><tr><td>11 </td><td>77-115 lb. </td><td>115 lb. </td><td>230 lb. </td><td>+0 </td><td>1.15 </td></tr><tr><td>12 </td><td>87-130 lb. </td><td>130 lb. </td><td>260 lb. </td><td>+1 </td><td>1.30 </td></tr><tr><td>13 </td><td>101-150 lb. </td><td>150 lb. </td><td>300 lb. </td><td>+1 </td><td>1.50 </td></tr><tr><td>14 </td><td>117-175 lb. </td><td>175 lb. </td><td>350 lb. </td><td>+2 </td><td>1.75 </td></tr><tr><td>15 </td><td>134-200 lb. </td><td>200 lb. </td><td>400 lb. </td><td>+2 </td><td>2.00 </td></tr><tr><td>16 </td><td>154-230 lb. </td><td>230 lb. </td><td>460 lb. </td><td>+3 </td><td>2.30 </td></tr><tr><td>17 </td><td>174-260 lb. </td><td>260 lb. </td><td>520 lb. </td><td>+3 </td><td>2.60 </td></tr><tr><td>18 </td><td>201-300 lb. </td><td>300 lb. </td><td>600 lb. </td><td>+4 </td><td>3.00 </td></tr><tr><td>19 </td><td>234-350 lb. </td><td>350 lb. </td><td>700 lb. </td><td>+4 </td><td>3.50 </td></tr><tr><td>20 </td><td>267-400 lb. </td><td>400 lb. </td><td>800 lb. </td><td>+5 </td><td>4.00 </td></tr><tr><td>21 </td><td>307-460 lb. </td><td>460 lb. </td><td>920 lb. </td><td>+5 </td><td>4.60 </td></tr><tr><td>22 </td><td>347-520 lb. </td><td>520 lb. </td><td>1,040 lb. </td><td>+6 </td><td>5.20 </td></tr><tr><td>23 </td><td>401-600 lb. </td><td>600 lb. </td><td>1,200 lb. </td><td>+6 </td><td>6.00 </td></tr><tr><td>24 </td><td>467-700 lb. </td><td>700 lb. </td><td>1,400 lb. </td><td>+7 </td><td>7.00 </td></tr><tr><td>25 </td><td>534-800 lb. </td><td>800 lb. </td><td>1,600 lb. </td><td>+7 </td><td>8.00 </td></tr><tr><td>26 </td><td>614-920 lb. </td><td>920 lb. </td><td>1,840 lb. </td><td>+8 </td><td>9.20 </td></tr><tr><td>27 </td><td>694-1,040 lb. </td><td>1,040 lb. </td><td>2,080 lb. </td><td>+8 </td><td>10.4 </td></tr><tr><td>28 </td><td>801-1,200 lb. </td><td>1,200 lb. </td><td>2,400 lb. </td><td>+9 </td><td>12.0 </td></tr><tr><td>29 </td><td>934-1,400 lb. </td><td>1,400 lb. </td><td>2,800 lb. </td><td>+9 </td><td>14.0 </td></tr><tr><td>30 </td><td>1,067-1,600 lb. </td><td>1,600 lb. </td><td>3,200 lb. </td><td>+10 </td><td>16.0 </td></tr><tr><td>31 </td><td>1,227-1,840 lb. </td><td>1,840 lb. </td><td>3,680 lb. </td><td>+10 </td><td>18.4 </td></tr><tr><td>32 </td><td>1,387-2,080 lb. </td><td>2,080 lb. </td><td>4,160 lb. </td><td>+11 </td><td>20.8 </td></tr><tr><td>33 </td><td>1,601-2,400 lb. </td><td>2,400 lb. </td><td>4,800 lb. </td><td>+11 </td><td>24.0 </td></tr><tr><td>34 </td><td>1,867-2,800 lb. </td><td>2,800 lb. </td><td>5,600 lb. </td><td>+12 </td><td>28.0 </td></tr><tr><td>35 </td><td>2,134-3,200 lb. </td><td>3,200 lb. </td><td>6,400 lb. </td><td>+12 </td><td>32.0 </td></tr><tr><td>36 </td><td>2,454-3,680 lb. </td><td>3,680 lb. </td><td>7,360 lb. </td><td>+13 </td><td>36.9 </td></tr><tr><td>37 </td><td>2,774-4,160 lb. </td><td>4,160 lb. </td><td>8,320 lb. </td><td>+13 </td><td>41.6 </td></tr><tr><td>38 </td><td>3,201-4,800 lb. </td><td>4,800 lb. </td><td>9,600 lb. </td><td>+14 </td><td>48.0 </td></tr><tr><td>39 </td><td>3,734-5,600 lb. </td><td>5,600 lb. </td><td>11,200 lb. </td><td>+14 </td><td>56.0 </td></tr><tr><td>40 </td><td>4,267-6,400 lb. </td><td>6,400 lb. </td><td>12,800 lb. </td><td>+15 </td><td>64.0 </td></tr><tr><td>41 </td><td>4,907-7,360 lb. </td><td>7,360 lb. </td><td>14,720 lb. </td><td>+15 </td><td>73.6 </td></tr><tr><td>42 </td><td>5,547-8,320 lb. </td><td>8,320 lb. </td><td>16,640 lb. </td><td>+16 </td><td>83.2 </td></tr><tr><td>43 </td><td>6,401-9,600 lb. </td><td>9,600 lb. </td><td>19,200 lb. </td><td>+16 </td><td>96.0 </td></tr><tr><td>44 </td><td>7,467-11,200 lb. </td><td>11,200 lb. </td><td>22,400 lb. </td><td>+17 </td><td>112 </td></tr><tr><td>45 </td><td>8,534-12,800 lb. </td><td>12,800 lb. </td><td>25,600 lb. </td><td>+17 </td><td>128 </td></tr><tr><td>46 </td><td>9,814-14,720 lb. </td><td>14,720 lb. </td><td>29,440 lb. </td><td>+18 </td><td>147 </td></tr><tr><td>47 </td><td>11,094-16,640 lb. </td><td>16,640 lb. </td><td>33,280 lb. </td><td>+18 </td><td>166 </td></tr><tr><td>48 </td><td>12,801--19,200 lb. </td><td>19,200 lb. </td><td>38,400 lb. </td><td>+19 </td><td>192 </td></tr><tr><td>49 </td><td>14,934-22,400 lb. </td><td>22,400 lb. </td><td>44,800 lb. </td><td>+19 </td><td>224 </td></tr><tr><td>50 </td><td>17,067-25,600 lb. </td><td>25,600 lb. </td><td>51,200 lb. </td><td>+20 </td><td>256 </td></tr><tr><td>51 </td><td>19,627-29,440 lb. </td><td>29,440 lb. </td><td>58,880 lb. </td><td>+20 </td><td>256 </td></tr><tr><td>52 </td><td>22,187-33,280 lb. </td><td>33,280 lb. </td><td>66,560 lb. </td><td>+21 </td><td>333 </td></tr><tr><td>53 </td><td>25,601-38,400 lb. </td><td>38,400 lb. </td><td>76,800 lb. </td><td>+21 </td><td>384 </td></tr><tr><td>54 </td><td>29,867-44,800 lb. </td><td>44,800 lb. </td><td>89,600 lb. </td><td>+22 </td><td>448 </td></tr><tr><td>55 </td><td>34,134-51,200 lb. </td><td>51,200 lb. </td><td>102,400 lb. </td><td>+22 </td><td>512 </td></tr><tr><td>56 </td><td>39,254-58,880 lb. </td><td>58,880 lb. </td><td>117,760 lb. </td><td>+23 </td><td>589 </td></tr><tr><td>57 </td><td>44,374-66,560 lb. </td><td>66,560 lb. </td><td>133,120 lb. </td><td>+23 </td><td>666 </td></tr><tr><td>58 </td><td>51,201-76,800 lb. </td><td>76,800 lb. </td><td>153,600 lb. </td><td>+24 </td><td>768 </td></tr><tr><td>59 </td><td>59,734-89,600 lb. </td><td>89,600 lb. </td><td>179,200 lb. </td><td>+24 </td><td>896 </td></tr><tr><td>60 </td><td>68,267-102,400 lb. </td><td>102,400 lb. </td><td>204,800 lb. </td><td>+25 </td><td>1,024 </td></tr></table>1 Mod is the Ability Modifier for a creature with this Strength score.2 Ratio is the ratio between the Max Load and Max Lift of a creature with this Strength score and a creature with Strength 10.For Strength values higher than 29, a creature's carrying capacity increases by a factor of four ("×4") every time their Strength score increases by +10. Therefore, a Strength increase of +5 will double ("×2") their maximum carrying capacity. Unfortunately, ability modifiers increase every other integer (a Strength of 14 and 15 both grant a +2 Strength modifier), so a +5 Strength increase represents two-and-a-half points of modifier increase, meaning it'll increase a even Strength score's modifier by +2 (i.e. Str 14+5 => Str 19 and +2 to +4) and an odd Strength score's modifier by +3 (i.e. Str 15+5 => Str 20 and +2 to +5).Also, note that the max lift for a creature with Strength 60 is pretty close to 100 <a href="https://en.wikipedia.org/wiki/Short_ton" target="_blank">short tons</a> (204,800 is only 2.4% higher than 200,000 pounds, since two-to-the-power-ten is 1,024).This means:<ol> <li data-xf-list-type="ol">For every 50 points a creature's Strength increases it can lift a thousand times as much, thus +50 is a thousand times, +100 a million times, +150 a thousand million times, +200 a million million (a long-scale billion or a short-scale trillion, depending on what scaling you prefer, let's call it 10¹² for clarity) and so on.</li> <li data-xf-list-type="ol">You can convert from pounds to tons by adding +55 points to the Strength. Example: a creature with Strength 12 can max lift 260 pounds => one with Strength 67 can max lift 260 tons. Alternatively, you can convert from pounds to tons by adding +50 and dividing the poundage by two. Example: a creature with Strength 26 can max lift 1,840 pounds => one with Strength 76 can max lift 920 tons (half of 1,840).</li> </ol>The following convenient table breaks down these progressions:<table style='width: 100%'><tr><td>Strength </td><td>Heavy Load </td><td>Max Load </td><td>Max Lift </td><td>Mod¹ </td><td>Ratio² </td></tr><tr><td>+5 </td><td>×2 </td><td>×2 </td><td>×2 </td><td>+2½ </td><td>×2 </td></tr><tr><td>+10 </td><td>×4 </td><td>×4 </td><td>×4 </td><td>+5 </td><td>×4 </td></tr><tr><td>+15 </td><td>×8 </td><td>×8 </td><td>×8 </td><td>+7½ </td><td>×8 </td></tr><tr><td>+20 </td><td>×16 </td><td>×16 </td><td>×16 </td><td>+10 </td><td>×16 </td></tr><tr><td>+25 </td><td>×32 </td><td>×32 </td><td>×32 </td><td>+12½ </td><td>×32 </td></tr><tr><td>+30 </td><td>×64 </td><td>×64 </td><td>×64 </td><td>+15 </td><td>×64 </td></tr><tr><td>+35 </td><td>×128 </td><td>×128 </td><td>×128 </td><td>+17½ </td><td>×128 </td></tr><tr><td>+40 </td><td>×256 </td><td>×256 </td><td>×256 </td><td>+20 </td><td>×256 </td></tr><tr><td>+45 </td><td>×512 </td><td>×512 </td><td>×512 </td><td>+22½ </td><td>×512 </td></tr><tr><td>+50 </td><td>×1,000 </td><td>×1,000 </td><td>×10e3 </td><td>+25 </td><td>×10³ </td></tr><tr><td>+100 </td><td>×1000,000 </td><td>×1000,000 </td><td>×10e6 </td><td>+50 </td><td>×10⁶ </td></tr></table>1 Mod is the Ability Modifier for a creature with this Strength score.2 Ratio is the ratio between the Max Load and Max Lift of a creature with this Strength score and a creature with Strength 10.Incidentally, if you're concerned about the 2.4% rounding between 1,000 and 1,024.Some high value exponential powers of 2 are:<table style='width: 100%'><tr><td>2³⁰=1,073,741,824</td><td>approx. 10⁹</td><td> equiv. Str +150 </td></tr><tr><td>2⁴⁰=1,099,511,627,776</td><td>approx. 10¹²</td><td> equiv. Str +200 </td></tr><tr><td>2⁵⁰=1,125,899,906,842,624</td><td>approx. 10¹⁵</td><td>equiv. Str +250 </td></tr><tr><td>2⁶⁰=1,152,921,504,606,846,976</td><td>approx. 10¹⁸</td><td>equiv. Str +300 </td></tr></table>The official Carrying Capacity rules exponential scaling dictates that a creature gaining a carrying capacity 10¹⁸ times higher(i.e. a milllion million million) will occur at a Strength increase of +299 rather than +300*.* My computer's calculator gives a figure of Strength +298.9735285398626113083287486541, but it's a logarithmic calculation subject to floating point errors.The "tipping point" will occur at about the halfway point (Strength +150).It's unlikely that creatures with 160+ Strength will be encountered that often in an adventure, but if you want to be a stickler for exactitude just add another +1 to the Strength per +299 increase when calculating creatures with million-fold lifting capacities.Example: A creature with Strength 417 is equivalent to a Strength 17 creature who's a million million million million times stronger (+400) with an additional Strength +1 from the above "rounding correction". Their max lift is 600 pounds [Strength 18's max lift] multiplied by 10²⁴, which is or 6×10²⁶ pounds 3×10²³ short tons or in longhand three hundred thousand million million million short tons! (aka 300 Zettatons, although <a href="https://en.wikipedia.org/wiki/Order_of_magnitude" target="_blank">Orders of Magnitude</a> are rarely used with short tons).</blockquote>

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