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General Tabletop Discussion
D&D Older Editions
A ropey issue
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<blockquote data-quote="Cleon" data-source="post: 8165208" data-attributes="member: 57383"><p>Let's finish of by considering Aurora's ropes.</p><p></p><p></p><p></p><p>It seems odd that the hempen rope jumps from 1/16 inches to 1/4 rather than starting with a 1/8 line like all the other examples. I'm wondering whether that was an error, since if it were 1/8 inch diameter the rope fits the progression better, as shown in <strong><span style="color: red"><strong>red</strong></span></strong> in the following comparison tables:</p><p></p><table style='width: 100%'><tr><td><span style="font-size: 22px"><strong>Hemp</strong></span></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>Dia</strong></td><td><strong>Cost(gp)</strong></td><td><em>Cost÷Dia²</em></td><td><strong>Wt(lb)</strong></td><td><em>Wt÷Dia²</em></td><td><em>Wt÷cost</em></td><td><strong>Load(lb)</strong></td><td><em>Ld÷Dia²</em></td><td><em>Ld÷Wt</em></td></tr><tr><td>1/16"</td><td>0.05</td><td>12.8</td><td>1/3</td><td>85.333</td><td>6.666</td><td>10</td><td>2560</td><td>30</td></tr><tr><td><span style="color: red">1/8"?</span></td><td><span style="color: red">5 cp?</span></td><td><span style="color: red">3.2?</span></td><td><span style="color: red">0.333?</span></td><td><span style="color: red">21.333?</span></td><td><span style="color: red">6.666?</span></td><td><span style="color: red">10</span></td><td><span style="color: red">640?</span></td><td><span style="color: red">30?</span></td></tr><tr><td>1/4"</td><td>0.2</td><td>3.2</td><td>2</td><td>32</td><td>10</td><td>50</td><td>800</td><td>25</td></tr><tr><td>1/2"</td><td>0.5</td><td>2</td><td>9</td><td>36</td><td>18</td><td>225</td><td>900</td><td>25</td></tr><tr><td>3/4"</td><td>1</td><td>1.777</td><td>20</td><td>35.555</td><td>20</td><td>500</td><td>888.89</td><td>25</td></tr><tr><td>1</td><td>2</td><td>2</td><td>36</td><td>36</td><td>18</td><td>900</td><td>900</td><td>25</td></tr><tr><td>2</td><td>7</td><td>1.75</td><td>142</td><td>35.5</td><td>20.29</td><td>3,550</td><td>887.5</td><td>25</td></tr><tr><td>3</td><td>16</td><td>1.777</td><td>320</td><td>35.555</td><td>20</td><td>8,000</td><td>888.89</td><td>25</td></tr><tr><td>4</td><td>28</td><td>1.75</td><td>570</td><td>35.625</td><td>20.36</td><td>14,250</td><td>890.625</td><td>25</td></tr><tr><td></td><td><p style="text-align: right"><strong>max</strong></p> </td><td>1/16 vs 3</td><td></td><td>1/16.vs.1</td><td>1/16.vs.4</td><td></td><td>1/16vs.¼</td><td>1/16.vs.all</td></tr><tr><td></td><td><p style="text-align: right"><strong>ratio</strong></p> </td><td>1.8286</td><td></td><td>1.6875</td><td>3.0536</td><td></td><td>1.40625</td><td>1.2</td></tr><tr><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td><strong><span style="font-size: 22px">Silk</span></strong></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>Dia (in)</strong></td><td><strong>Cost (gp)</strong></td><td><em>Cost÷Dia²</em></td><td><strong>Wt (lb)</strong></td><td><em>Wt÷Dia²</em></td><td><em>Wt÷cost</em></td><td><strong>Load (lb)</strong></td><td><em>Ld÷Dia²</em></td><td><em>Ld÷Wt</em></td></tr><tr><td>1/8"</td><td>2</td><td>128</td><td>1.5</td><td>96</td><td>0.75</td><td>60</td><td>3840</td><td>40</td></tr><tr><td>1/4"</td><td>4</td><td>64</td><td>3.5</td><td>56</td><td>0.875</td><td>140</td><td>2240</td><td>40</td></tr><tr><td>1/2"</td><td>10</td><td>40</td><td>8</td><td>32</td><td>0.8</td><td>320</td><td>1280</td><td>40</td></tr><tr><td>3/4</td><td>23</td><td>40.889</td><td>18</td><td>32</td><td>0.783</td><td>720</td><td>1280</td><td>40</td></tr><tr><td>1</td><td>50</td><td>50</td><td>30</td><td>30</td><td>0.6</td><td>1,200</td><td>1200</td><td>40</td></tr><tr><td></td><td><p style="text-align: right"><strong>max</strong></p> </td><td>⅛ vs 1</td><td></td><td>⅛ vs 1</td><td>¼ vs 1</td><td></td><td>⅛ vs 1</td><td>none</td></tr><tr><td></td><td><p style="text-align: right"><strong>ratio</strong></p> </td><td>3.2</td><td></td><td>3.2</td><td>1.458333</td><td></td><td>3.2</td><td>1</td></tr></table><p></p><p>Now what's interesting is the ropes' diameters, weights and loads are rather consistent, not all over the place like <em>Aurora's</em> chains are.</p><p></p><p>Look at the load-to-weight ratios. Hemp is 25 (except for the anomalous 1.16 inch rope which is 30) and every silk rope is 40. That means an <em>Aurora</em> silk rope is 160% the strength of a hemp rope of the same heaviness, which is lower than the 260% proportion of my estimated 1,300 pound safe load but is not outside the bounds of possibility if the Aurora version is made from weaker silk.</p><p></p><p>However, the overall strength is about half what it should be even if the authors used a 1:12 safety ratio instead of the 1:6 one I did, since the basic rope is twice as heavy and has half the safe load, it is only one-fourth my <a href="https://www.enworld.org/threads/a-ropey-issue.676862/post-8141903" target="_blank"><strong>estimated strength for a hempen rope</strong></a>.</p></blockquote><p></p>
[QUOTE="Cleon, post: 8165208, member: 57383"] Let's finish of by considering Aurora's ropes. It seems odd that the hempen rope jumps from 1/16 inches to 1/4 rather than starting with a 1/8 line like all the other examples. I'm wondering whether that was an error, since if it were 1/8 inch diameter the rope fits the progression better, as shown in [B][COLOR=red][B]red[/B][/COLOR][/B] in the following comparison tables: [TABLE] [TR] [TD][SIZE=6][B]Hemp[/B][/SIZE][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [/TR] [TR] [TD][B]Dia[/B][/TD] [TD][B]Cost(gp)[/B][/TD] [TD][I]Cost÷Dia²[/I][/TD] [TD][B]Wt(lb)[/B][/TD] [TD][I]Wt÷Dia²[/I][/TD] [TD][I]Wt÷cost[/I][/TD] [TD][B]Load(lb)[/B][/TD] [TD][I]Ld÷Dia²[/I][/TD] [TD][I]Ld÷Wt[/I][/TD] [/TR] [TR] [TD]1/16"[/TD] [TD]0.05[/TD] [TD]12.8[/TD] [TD]1/3[/TD] [TD]85.333[/TD] [TD]6.666[/TD] [TD]10[/TD] [TD]2560[/TD] [TD]30[/TD] [/TR] [TR] [TD][COLOR=red]1/8"?[/COLOR][/TD] [TD][COLOR=red]5 cp?[/COLOR][/TD] [TD][COLOR=red]3.2?[/COLOR][/TD] [TD][COLOR=red]0.333?[/COLOR][/TD] [TD][COLOR=red]21.333?[/COLOR][/TD] [TD][COLOR=red]6.666?[/COLOR][/TD] [TD][COLOR=red]10[/COLOR][/TD] [TD][COLOR=red]640?[/COLOR][/TD] [TD][COLOR=red]30?[/COLOR][/TD] [/TR] [TR] [TD]1/4"[/TD] [TD]0.2[/TD] [TD]3.2[/TD] [TD]2[/TD] [TD]32[/TD] [TD]10[/TD] [TD]50[/TD] [TD]800[/TD] [TD]25[/TD] [/TR] [TR] [TD]1/2"[/TD] [TD]0.5[/TD] [TD]2[/TD] [TD]9[/TD] [TD]36[/TD] [TD]18[/TD] [TD]225[/TD] [TD]900[/TD] [TD]25[/TD] [/TR] [TR] [TD]3/4"[/TD] [TD]1[/TD] [TD]1.777[/TD] [TD]20[/TD] [TD]35.555[/TD] [TD]20[/TD] [TD]500[/TD] [TD]888.89[/TD] [TD]25[/TD] [/TR] [TR] [TD]1[/TD] [TD]2[/TD] [TD]2[/TD] [TD]36[/TD] [TD]36[/TD] [TD]18[/TD] [TD]900[/TD] [TD]900[/TD] [TD]25[/TD] [/TR] [TR] [TD]2[/TD] [TD]7[/TD] [TD]1.75[/TD] [TD]142[/TD] [TD]35.5[/TD] [TD]20.29[/TD] [TD]3,550[/TD] [TD]887.5[/TD] [TD]25[/TD] [/TR] [TR] [TD]3[/TD] [TD]16[/TD] [TD]1.777[/TD] [TD]320[/TD] [TD]35.555[/TD] [TD]20[/TD] [TD]8,000[/TD] [TD]888.89[/TD] [TD]25[/TD] [/TR] [TR] [TD]4[/TD] [TD]28[/TD] [TD]1.75[/TD] [TD]570[/TD] [TD]35.625[/TD] [TD]20.36[/TD] [TD]14,250[/TD] [TD]890.625[/TD] [TD]25[/TD] [/TR] [TR] [TD][/TD] [TD][RIGHT][B]max[/B][/RIGHT][/TD] [TD]1/16 vs 3[/TD] [TD][/TD] [TD]1/16.vs.1[/TD] [TD]1/16.vs.4[/TD] [TD][/TD] [TD]1/16vs.¼[/TD] [TD]1/16.vs.all[/TD] [/TR] [TR] [TD][/TD] [TD][RIGHT][B]ratio[/B][/RIGHT][/TD] [TD]1.8286[/TD] [TD][/TD] [TD]1.6875[/TD] [TD]3.0536[/TD] [TD][/TD] [TD]1.40625[/TD] [TD]1.2[/TD] [/TR] [TR] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [/TR] [TR] [TD][B][SIZE=6]Silk[/SIZE][/B][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [TD][/TD] [/TR] [TR] [TD][B]Dia (in)[/B][/TD] [TD][B]Cost (gp)[/B][/TD] [TD][I]Cost÷Dia²[/I][/TD] [TD][B]Wt (lb)[/B][/TD] [TD][I]Wt÷Dia²[/I][/TD] [TD][I]Wt÷cost[/I][/TD] [TD][B]Load (lb)[/B][/TD] [TD][I]Ld÷Dia²[/I][/TD] [TD][I]Ld÷Wt[/I][/TD] [/TR] [TR] [TD]1/8"[/TD] [TD]2[/TD] [TD]128[/TD] [TD]1.5[/TD] [TD]96[/TD] [TD]0.75[/TD] [TD]60[/TD] [TD]3840[/TD] [TD]40[/TD] [/TR] [TR] [TD]1/4"[/TD] [TD]4[/TD] [TD]64[/TD] [TD]3.5[/TD] [TD]56[/TD] [TD]0.875[/TD] [TD]140[/TD] [TD]2240[/TD] [TD]40[/TD] [/TR] [TR] [TD]1/2"[/TD] [TD]10[/TD] [TD]40[/TD] [TD]8[/TD] [TD]32[/TD] [TD]0.8[/TD] [TD]320[/TD] [TD]1280[/TD] [TD]40[/TD] [/TR] [TR] [TD]3/4[/TD] [TD]23[/TD] [TD]40.889[/TD] [TD]18[/TD] [TD]32[/TD] [TD]0.783[/TD] [TD]720[/TD] [TD]1280[/TD] [TD]40[/TD] [/TR] [TR] [TD]1[/TD] [TD]50[/TD] [TD]50[/TD] [TD]30[/TD] [TD]30[/TD] [TD]0.6[/TD] [TD]1,200[/TD] [TD]1200[/TD] [TD]40[/TD] [/TR] [TR] [TD][/TD] [TD][RIGHT][B]max[/B][/RIGHT][/TD] [TD]⅛ vs 1[/TD] [TD][/TD] [TD]⅛ vs 1[/TD] [TD]¼ vs 1[/TD] [TD][/TD] [TD]⅛ vs 1[/TD] [TD]none[/TD] [/TR] [TR] [TD][/TD] [TD][RIGHT][B]ratio[/B][/RIGHT][/TD] [TD]3.2[/TD] [TD][/TD] [TD]3.2[/TD] [TD]1.458333[/TD] [TD][/TD] [TD]3.2[/TD] [TD]1[/TD] [/TR] [/TABLE] Now what's interesting is the ropes' diameters, weights and loads are rather consistent, not all over the place like [I]Aurora's[/I] chains are. Look at the load-to-weight ratios. Hemp is 25 (except for the anomalous 1.16 inch rope which is 30) and every silk rope is 40. That means an [I]Aurora[/I] silk rope is 160% the strength of a hemp rope of the same heaviness, which is lower than the 260% proportion of my estimated 1,300 pound safe load but is not outside the bounds of possibility if the Aurora version is made from weaker silk. However, the overall strength is about half what it should be even if the authors used a 1:12 safety ratio instead of the 1:6 one I did, since the basic rope is twice as heavy and has half the safe load, it is only one-fourth my [URL='https://www.enworld.org/threads/a-ropey-issue.676862/post-8141903'][B]estimated strength for a hempen rope[/B][/URL]. [/QUOTE]
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