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星期三, 4月 01, 2009

Crank arm lengths for tri

Original Artical: Slowtwitch
One question I do not get in the never-ending quest by readers to wrest every scintilla of speed out of themselves and their machines is what length crank should I ride?

At first blush, the answer seems to be it doesn't much matter. But let's look a little further, because I think it does matter. Further, the answer is counterintuitive, as is often the case in this milieu.

Jim Martin is a cycliing enthusiast, a bicycle racer, holds a PhD in exercise science and an undergrad degree in mechanical engineering. He's a professor at the University of Utah and is as august an academic on the subject of crank length as anyone. The conclusion of his investigations is that it's hard to quantify a difference in efficiency between cranks lengths of 145mm and 195mm, regardless of a rider's heights. So why sweat it?

Crank lengths have been a topic of investigation for Velo News' tech editor Lennard Zinn for 15 years, and he's written, rewritten, recast and self-edited many times over the years, probably most notably in a long reply to a Velo News letter to the editor in 2003.
Therein he references an elegant formula for crank length published by Kirby Palm in which .216 X inseam is posited. So, if you have an inseam of 32", that's 813mm X .216 = 175mm crank arms. Lennard himself, at least as of 2003, prefers .21 X inseam, yielding in the case above 170mm cranks.

These are two of several such formulae. Others are Bernard Hinault's 28.4% of knee to trunk, and then just 10% of your height.

You'll notice a large variance in crankarm lengths if you use formulae built strictly on the notion of proportionality. Crankarms from 150mm to 195mm appear appropriate for riders ranging between 28" and 36" inseams. A formula like this intuitively flows from the notion of proportionality, and the fact that these cranks are not spec'd on bikes is probably more a result of fear of SKUs-run-amok by crank and bike manufacturers than by anything more rational. Anyone who's spectated bike makers trying to explain why they don't use 650c wheels on their smaller-sized bikes understand the mindset.

But there are detractors, notably Edward Zimmerman, who moderates proportionality based on factors such as the knee stress at the top of the stoke just when power is applied.
You'll note while reading most of these folks that they make mention of the use of longer cranks during timed race events. Zimmerman relates that, for time-trials and mountain stages it is not uncommon for elite cyclists to adopt longer cranks. Indurian, for example used 180mm cranks in time trials instead of his 175mm. Kirby Palm offers this: In time trialing, a slightly longer crank may also be beneficial. It allows optimum performance at a lower cadence, which by itself may seem helpful.

What I have failed to see, from the analysis of those listed above, is anything above a cursory sentence on the importance of the hip angle at top dead center, and how this question impacts the choice of crank length. More and more TT/Tri fitters—whose jobs are finding the appropriate bike positions of their charges—are focusing on this particular ergonomic metric: acute hip angle.

Kirby Palm may be onto something with his crank length formula, but he falls prey to two urban myths in the same sentence: that time trialing with a longer crank, and with a lower cadence, are each desirable things. Zimmerman notes, without refutation or commentary, that longer cranks are chosen in both mountain and time trial events, as if these specialties have a kinship requiring parallel technologies or techniques.
Most cyclists, whether road or tri, are cognizant of that pinched feeling at the top of the pedal stroke, if the back is too flat, or the saddle too far arears. Just as a half-squat is easier than a full-squat, commencing hip and knee extension is hard when levers are not allowed to function at a mechanical advantage. For this reason, aerobars that are too low create an environment in which power is lost.

Lengthening a crankarm creates problems for a timed racer. If you add 2.5mm to a crank's length, you lower your saddle that same 2.5mm to preserve your knee angle at bottom dead center, roughly 145° of included angle. At top dead center, then, that pedal axle is now 2.5mm closer to the torso, plus another 2.5mm, because that crank now sits 2.5mm higher above the BB axle. So, for every increment you lengthen the crank, your knee is double that increment closer to your torso as you start to apply power to the pedals at top dead center.

Your "closed hip angle," that is, your hip angle at top dead center, is probably between 46° and 52°, depending on your chosen landmarks, but this range is what you'll get using the trochanter as the angle's fulcrum, extending to the center of the knee, and to the acromion (shoulder bone). Our F.I.S.T. protocol measures open hip angle, or more precisely a proxy of it, and centers around 100°. In either case, in order to perserve these hip angles, the armrest drop—that vertical measure between the top of the saddle and the top of the armrest—must be increased by 5mm if the crank is lengthened by 2.5mm. This works against the athlete if he's trying to choose the most aerodynamic position available to him.
Furthermore, if events over the last decade are instructional, cadences are not trending lower in timed events, rather in the other direction. Perhaps a starting point for a discussion on cadence might be to posit the following: ride with a cadence equal to your functional threshold power + 5 beats. So, an Ironman ride at 80% of FTP might be ridden at 85bpm (beats per minute), and a 40k TT might be ridden at 98% FTP, or 103bpm. If you think this a high cadence, remember that only once since the 1960s has a world hour record been set at a cadence below 100.

But this would be just a starting point for what might be a further analysis into your perfect cadence, taking into consideration your morphology, your height, conditioning, fiber type, and so forth. My hope is not to segue into a discussion of perfect cadence, rather my points are two: that cadences in the timed events, at the highest levels of bike racing (where efforts rarely last more than an hour), are rarely observed below 90rpm and are often above 100rpm; and that cadences trend higher as the event grows shorter or, to put it another way, cadences go up as effort goes up.

You might add a third element that tracks up or down with cadence and effort: seat angle. If you consider just flat terrain, whether in a mass start event or in a timed event, as the effort goes up, the trunk moves forward—when Phil and Paul are describing the rider as "on the rivet" they're not talking about the rear rivet.
Why is this important? Because timed events, and triathlons, are not ridden with intervals of sitting up, riding easily—at least not by those who're in contention. Accordingly, saddles are forward, trunks are forward, backs are flat, and cadences are elevated. If you keep or make a crank arm short, an incrementally higher cadence is required to offset the lower torque generated by the shorter lever. But a higher cadence seems not only justified, but required, by timed racing. Alternatively, a longer crank arm is incrementally harder to spin at that higher cadence, all things equal. In other words, there is an elegant confluence with shorter cranks and higher cadences in timed racing; these elements are not in conflict, rather they complement each other.

This is not to suggest longer crank arms are not desirable, rather to say that longer crank arms do not dovetail nicely with the notion of flat backs; small frontal profiles; and closed hip angles that allow for appropriate leverage at the beginning of the power phase of the pedal stroke—especially if riding a faster cadence is a required element.

What both Jordan Rapp (my F.I.S.T. workshop "lieutenant" and one of triathlon's top cyclists) and I, in our n=2 experiment, have discovered is that we pair of 6'2" riders have found that 172.5mm cranks seem most appropriate for our own timed racing efforts. What I don't know is what my best crank arm length is for road riding. I rather think it depends on the specialty. For example, criterium riding is a lot more like timed racing than like, say, long ascents. My flat-back, on-the-rivet, hands-in-the-drops try like hell to keep the elastic from snapping seated sprint out of a corner is pretty much identical to my TT position, just that I don't have amrests under my elbows. Indeed, my closed hip angle in this position is 48°, identical to this angle in my TT position, as determined by a Retul motion capture analysis.
But while seated climbing my closed hip angle is about 5° more open, if it's a 6% or 7% climb we're talking about. And, during out-of-the-saddle climbing I've long thought a much longer crank would be more appropriate, both for the lower cadences most of us use out of the saddle, and for the sake of best balance aboard the bike.

So I cannot give you, as of this writing, an amount triathletes and time trialists should shorten their cranks versus what they'd use on their road race bikes because, even though I've been riding and occasionally racing road race bikes for 30 years, I've only just begun to think about whether my best crank length while climbing is really 175mm.

But what I can at least tell you is, regardless of what crank you ride on your road race bikes, and irrespective of the nature of your typical road riding session, your best time trial or triathlon crank length is certainly not longer—rather it's shorter—than what you'll use on your road bike.

Were I a product manager spec'ing cranks on my size run of TT/Tri bikes, I'd certainly start with cranks no longer than 165mm, and these would go on everything 50cm and below. I'd then add 2.5mm, which means finding the elusive 167.5mm lengths, every 3cm or 4cm worth of bike size increase, ending with 172.5mm on sizes 60cm down to 57cm, and 175mm arms on bikes only above 60cm in height.

This would dovetail with the smaller gears on these bikes required to ride the faster cadences, which advocates for 110mm bolt pattern cranks spec'd OE with 34x50 and 36x50 chain rings. Sadly, none of this sort of drive train spec is very often found on OE tri bikes these days.

星期日, 3月 01, 2009

[競賽]2009 金石(精實?)馬拉松

Dist: 42.195km
Certification Time: 3hr39min
Polar Time: 3hr37min

[賽前]
今年的衣服真的好看,
若是肩帶做的更窄,那就完美了!
[競賽]
賽前三天不小心又從家裡的樓梯滑一跤摔了半層樓,左邊屁股中彩.
隔天連走路都會痛,實在很擔心週末的馬拉松賽.
最後兩天索幸好好休息兼狂吃碳水化合物.

周日一早搭上大學室友的便車直奔會場(中和到萬里交流道只花了20分鐘).
會場的天氣其實不算太差,毛毛細雨,加上不到15度的氣溫.
對跑馬來說算是不錯了,可惜我就是怕冷(單車騎久了,怕冷不怕熱).
停好車已經剩下不到20分鐘.
帶著朋友們小跑步趕到會場.
鳴槍後,離我出拱門的時間已經過了2min多.
週遭也都被半馬的人群包圍者.
乾脆就熱身陪室友龜傑一同前進吧!

一出暖身專用的金山隧道,強勁的海風夾帶細雨迎面而來.
而我帶著龜傑走外道慢慢超車.
目的地是核二廠前的樹叢(每年必到的解放地!)
5KM過後(花了超過30min),暖身也算結束了.
進入金山外環道前開始拉高點速度,
也追上了研究所學弟,
他因為體態的增長,只求430完賽,
我跟他打賭若我跑進359就有牛排一客,
學弟看到我發現時間不早了,
還很開心的覺得牛排已經到手.
我當然不能讓他順利得逞,加點速度甩開他往前.

在外環道上我就發現有個跑友一直跟在我後面,
就這樣一路跟到10KM處,
之後的5KM我們聊天齊跑,
這位前輩看起來也是50多歲的老手,
他說一路上看我一直看錶(其實是覺得怎麼跑這麼久還沒到里程牌!),
加上速度還滿穩的(其實是我快不了啊!)
所以一路跟著我跑.
聽他說說以前跑馬的經驗,
玩三鐵的經驗,
兩人不知不覺速度也快了一些.
而我們兩個後面不知道什麼時候居然也黏了一些人.
後面的前輩們幫忙報每km的時間,
我們則依照時間調整速度.
接近17.5km時鞋帶掉了.
停下來將鞋帶綁好,
沒想到居然綁的太緊,
鞋舌碰撞腳背,
跑步姿勢都亂了.
趁著石門橋的上坡加速超過不少人來爭取重綁鞋帶的時間.

去程其實都是順風為主,
跑起來也輕鬆很多.
而我的手臂肌肉目前還沒辦法長時間甩手,
折返之前幾乎都將手放到最低晃動,
一來可以減少甩手,
二來可以強制肩膀肌肉放鬆.

抵達折返點看看時間1:53,時間還蠻充裕的,
重點是身體並沒有什麼疲憊的感覺.

折返後就精采了,
一路的逆風側風,加上上坡.
這,不就是我騎車常常遇到的狀況嗎?
逆風,身體略為前傾減少風阻,
上坡,身體略為前傾幫助出力.
騎車,身體前傾.
有沒有這麼巧,身體都是前傾阿?
那當然,
出力方式就跟騎車十分接近.
拜此所賜,回程這段逆風我可是輾過不少人(因為真正的強者都在前面阿!).
跳石海岸這段又跟著一位永慢的前輩(120馬了)一同前進,
我也不時詢問他們的訓練里程,
對路線的選擇,
同時他們一些有趣的跑法也卓實讓漫長的馬拉松增趣不少.
進入金山市區後這位前輩說他的目標可以達到了,
要我可以加速拼拼看34X,
最後5KM有這種機會當然要試試.
於是拉了出去,
一路繼續輾人,
最後3KM我發現有人在我後面跟了一段時間.
隨即轉頭過去攀談,
先問問他有沒有機會破PR.
對方說有機會,
但是幅度不大,
約3~4min而已.
我就回他"那我們兩個一起ㄑㄧㄥ這最後3km吧!"
這位年輕人也是永和慢跑的.
他說之前常常在35KM左右抽筋,
但今天天氣涼爽很多,
反而沒這樣的症狀.

最後的3KM包含了1KM的隧道.
這3KM我們兩個速度也不敢放掉的並行前進,
跟其他跑友比較起來,
我們超過去的速度算是快的(以我目前弱腳的觀點啦).
接近隧道出口時我跟這位戰友說"怕外頭的冷風會讓我抽筋,所以你要衝就先衝吧!"
他也是很有義氣的說"最後50M再一起衝線".
就這樣到了接近50M,
我們倆雙雙開始加速,
我能聽到週遭的群眾大聲的幫我們喊加油,
但我急促的喘息聲仍然遠遠的蓋過群眾聲.
最後我以半個身體之差落後這位戰友,

看看大會時間3:39:16
而我的Polar時間則為3:37
成功了,
牛排入手,
證明這兩個月來的練習沒有白費.
前兩天的摔傷也沒有對比賽造成太大影響.
更大幅破了我個人在金石馬拉松的時間紀錄(去年為4:18).
值得,真的值得!


[賽後]
結束後與我的戰友握手互相道賀,
感謝他最後3KM的陪伴.

這次對跑馬又有新的體驗,
以前都是在400~430這個區間跑.
這次能在330~400這個區間跑,
跑友的組成也有很大差異.
不像以前大家後段速度都掉很多,幾乎都在撐.
保四的跑者在最後15KM仍然可以維持一定的速度前進.
更不時會有人出來帶速度.
競爭的感覺更是明顯,也更有趣.

經過這次我對配速又更有概念.
還有大腿肌群的交替運用也讓我在後半段能跑出1:44左右的時間.

回到帳篷後,
21KM的朋友們都已經休息好一陣子了.
大家照照相,
隨即驅車前往萬里基隆交界的"海龍珠"大啖海鮮.
這間店一值沒有機會吃,總算一償宿願品嚐新鮮精緻的海鮮料理

世界真的很小.
吃飯時居然遇到大學室友的社團朋友.
難道在新竹唸過書的,
最終都會來參加這種活動嗎?

星期六, 11月 18, 2006

[競賽]今日的貪吃,就是明日爬坡的負擔

吳鳳廟->阿里山@3hr52min

台灣業餘界比賽的最後一場盛事,阿里山爬坡賽.
也是我打算拿來測試當兵這一年多來最長距離爬坡的影響.
早在一個月前就像連上人事橋好假期,
也預計一個月內減個幾公斤好讓我不要騎的太慘.

假期很順利的橋好了,
可惜貪吃的我始終無法將體重降下來.
結局就是我得多帶十公斤的重量上山.

比賽前一天將車子清理過又將競賽輪組裝上去.
順便將座墊往前調整,以利隔天的爬坡.
下午就搭著朋友的車子一同下嘉義,
一路上大家聊東聊西,讓無聊的乘車時間增色不少.
到了嘉義已經八點多了,
行李安置完畢一夥人就出門覓食.
目標當然雞肉飯囉.
噴水池邊的雞肉飯是很多人推薦的.
兩年前我來吃過,當時就決定不再光顧.
兩年後再給他一次機會,
吃完我後悔了,看來這輩子是不會再來吃了.
份量小又貴,也沒什麼讓我驚豔的感覺.
將隔天的早餐購置完畢大家就回旅社聊天.

比賽當天五點半就得起床,
著裝時居然發現個瘋子出現在我眼前....
熱血青年阿吉搭著夜車下來比賽,真是瘋了.

今天這場比賽有一千多人報名,
所以分成三個梯次出發,
賽前我已經評估過自己的狀況.
今天不求什麼,
只要能完賽就好.
所以當槍響時大家拚命的往前衝.
我只是慢慢的在後方熱身.
過了觸口,
爬坡正式開始.
知道自己的體力絕對沒法硬踩,趕緊將齒比降低.
看著後方的人慢慢的追過我,但也不以為然.


上半身明顯的胖了不少Orz...

這次爬坡賽將補給車的功能削減到只能做維修和運輸的功用.
補給的話,路上有三個補給點,
由大會統一供給水,香蕉,果凍.
第一個補給點因為身上東西還很足夠,
所以我就直接略過了,
到了石桌的第二個補給點,
我考量到水分可能會不夠,所以伸手討了杯水.
香蕉也以一小時一根的速度消耗.

在石桌接近十字路一段跟新店單車騎士的車友邊騎邊聊,
以及老莫幫我們拍照,
頓時忘記我是在比賽.
一路上以輕齒比前進,
所以在十字路之前都沒有什麼抽筋的症狀.
過了十字路就是最後的挑戰了.
儘管路稱不上陡,
但是之前已經消耗了不少體力,
因此大家騎起來都頗力不從心,
加上海拔的增加,肌肉以隨時有抽筋的危險.
在最後的一點五公里,我的肌肉也不爭氣的抽筋.
就這樣在路邊待了五分鐘左右吧,
最後還是慢慢的爬進終點.

完賽後覺得下背好像不是我自己的,
彎個腰都覺得異常酸痛,
直覺就認為因為上半身的體重增加,
以及久沒長時間騎乘,
所以下背部肌肉無法承受這樣的重量.

這實在讓我十分震驚.
想一想,
當兵之後增加了十公斤.
儘管在三千公尺的時間上沒有退步,
但是爬坡就不同了,
背著十公斤的東西爬坡,
自然腿部要輸出更高的功率,
大腿也更容易疲勞.
而上半身重量的增加,
也增加了下背和屁屁的負擔.
因次,減重還是最好的解決辦法.

嘴巴上說要減重,
但是賽後車隊還是衝往貴族世家狂吃一頓.
理由很充分的是爬坡完要補充營養,
不過這種理由才是減重最大的障礙吧!
離退伍還有60天左右,
希望六十天後我減到72kg.
好迎接我退伍後的生活.

星期日, 8月 28, 2005

[競賽]鐵屁股不只是鐵屁股,也會鐵腿

cycling@埔里-->武嶺
吃完豐盛的早餐,大隊就浩浩蕩蕩的往地理中心碑出發.
因為記錯出發梯次,所以我賺到了軟身跟稍微拉筋的空閒時間.
六點二十多分,第二梯次的槍聲響起,今天55km的戰鬥要開始了.
槍一響,就有ㄧ隊人馬馬上拉出去,我並沒有追上去,想到之後的爬坡,開始還是慢慢騎比較安全.
往霧社的途中,跟費柴紹瑋一起慢慢龜.

在大約出發二十分鐘後,身旁出現一列blue trian(kinan CCD的好手)快速通過,我還瞥到Team ADA的高手范永奕藏在最後面.

開始進入爬坡段後,因為受不了小集團的龜速,也顧不了之後會不會爆漿,放棄cool down的態度,開始加速往前,途中也遇到許多第三梯的加速趕過我.

而在快到霧社時,阿吉追了十分鐘的差距超越我.中途還看到下滑的彭貴祥(後來知道他棄賽)
而在霧社到清境中間,ema的阿彬也也極快的速度追了上來,打了ㄧ聲招呼,還跟我說廢柴怎麼那麼慢,我也只能乾笑回覆他,畢竟我那時已經略呈敗像了.隨即棄守23t換為25tㄧ直到武嶺.

接近清境時,油貓也快速的再我旁邊出現,丟下ㄧ句"加油"就踏著他的new 27t離開.
清境國民賓館附近擠滿了人群,有遊客也有補給車,而我怎麼找就是找不到帝大補給車.想買瓶水卻發現身上一毛錢也沒有.只好拖著沉重步伐繼續往上騎.

好在出清境不久,就被後來居上的費柴趕上,好心的他分了ㄧ包natrual valley給我,還幫我打開,真是令人感動.

過 清境之後,照小抄所言,幾乎沒有好日子過了,但是小抄的坡度是平均坡度,過清境後有一段平緩上坡,這也表示真正的陡坡會在後面,果然不出所料,緩坡後都是 令人發狂的陡上,在這裡因為之前斷糧,加上剛剛吃的natrual valley來不及補充,所以還騎到恍神,騎進路邊的草堆中,幸好及時脫踏才沒摔.
自此之後,不斷的下車休息就變成我的循環,下車尿尿,下車拉筋,抽筋被迫下車,塞車被迫下車.

接下來的路段多陡我不清楚,但是我知道每下車休息一下就可以再衝一陣子,所以最後10多公里幾乎是跟同ㄧ群人ㄧ起前進,我休息時他們超過我,我上車加速後又追過他們.
接近鳶峰前我已經斷水了,在路邊等人救助,恰好夙君經過就大發慈悲的分我ㄧ瓶水.
在鳶峰時看到帝大補給車,但是想想剩沒幾公里了,剛剛才補過水,所以就直接略過往前了.
接下來的路ㄧ樣陡,接近昆陽3km前有一段大家應該都很有印象的之字型陡坡,我個人是覺得這種坡是視覺上的嚇人,實際騎起來都還好.而在昆陽前200m的陡坡應該算是今天全部裡面最恐怖的.

再昆陽往武嶺的2km並沒有小抄說的那樣可怕,雖然我已經脫力了,但是仍然可以堅持住不下車,路上遇到C.D.跟elsa,最後看到智陽的背影,想追上去也是心有餘而力不足.好在終點前100m被轎車擋住被迫下車,所以衝線時還可以耍帥抽個車,算是自我安慰ㄧ下.


山頂上冷的要死,我不住的跟貓隊長媽媽要東西吃(哈哈),後來又吃了ㄧ碗50的綜合湯才讓身體不再發冷.

下山時因為沒帶風衣,所以披上我的襯衫,扣子再扣到最高,身體裡面再塞報紙,但是也是邊下滑邊流鼻水.

回到小王爸爸的民宿後洗了個澡,就躺了ㄧ小時.真是不好意思,還讓我們免費用房間跟淋浴設備.
回 到魚池鄉吃冰的途中,接到電話說明宮被小貨車擦到而摔車,好在傷勢不大,但是因為摔車所以波汲到另ㄧ台轎車,晚上孝春請吃好吃的樁腳菜(no,是庄腳 菜).警察先生打電話來說調到錄影帶,也找到當初肇事的貨車,ㄧ群人就往埔里的一間警局出發,因為貨車上有煞變把上面橡皮的痕跡,但是車主還是否認他肇事 逃逸.之後的情況我就不清楚了.

回到桃園已經是凌晨ㄧ點多,這次雖然很狼狽的騎完武嶺,但是可以加強的地方還是很多.
下次有機會,要換上更輕的飛輪,並且在保留多ㄧ些體力對付後面的陡坡,才不至於會抽筋.
本來以為經過最近的游泳練習,背部肌肉應該可以承受更久的騎乘,但是我想的太美好,這種超過四小時的爬坡,還是需要特別訓練的!