Why doesn’t the Leaning Tower of Pisa fall over? - Alex Gendler

5,191,261 views ・ 2019-12-03

TED-Ed


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譯者: Pei-Chen Benson Liu 審譯者: Harper Chang
00:08
In 1990, the Italian government enlisted top engineers
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在1990年,義大利政府 徵募頂尖工程師
00:12
to stabilize Pisa’s famous Leaning Tower.
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加固著名的比薩鐵塔
00:16
There’d been many attempts to right the tower during its 800 year history,
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在比薩鐵塔的 800 年歷史中 人們很多次想要這樣做
00:20
but this team’s computer models revealed the urgency of their situation.
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但透過團隊的電腦模型 大家才知道刻不容緩
00:25
They projected the tower would topple if it reached an angle of 5.44 degrees—
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他們推斷一旦傾斜超過 5.44 度 這座高塔便會倒塌
00:31
and it was currently leaning at 5.5.
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而目前已經傾斜 5.5 度了
00:35
No one knew how the tower was still standing, but the crisis was clear:
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沒人瞭解為何斜塔依然矗立 但問題已經不可忽略
00:39
they had to solve a problem that stumped centuries of engineers,
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必須解決這個 糾纏古今無數工程師的問題
00:43
and they needed to do it fast.
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而且刻不容緩
00:46
To understand their situation,
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想弄清情況
00:48
it’s helpful to understand why the tower tilted in the first place.
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需要瞭解這座高塔 一開始傾斜的原因
00:51
In the 12th century, the wealthy maritime republic of Pisa
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12 世紀時,比薩共和國 是個靠海的富裕國度
00:55
set about turning its cathedral square into a magnificent landmark.
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當時他們正要把教堂廣場 改造成壯觀的地標
01:00
Workers embellished and enlarged the existing church,
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工人們為擴建、美化教堂
01:04
and added a massive domed baptistry to the plaza.
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還建造了一座寬闊的穹頂洗禮池
01:08
In 1173, construction began on a free-standing campanile, or bell tower.
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1173 年,一座獨立式鐘樓開工
01:15
The engineers and architects of the time were masters of their craft.
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那時參與的工程師和建築師 都是其領域的菁英
01:19
But for all their engineering knowledge,
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但他們的工程知識
01:21
they knew far less about the ground they stood on.
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不足以認識當時的地質
01:25
Pisa’s name comes from a Greek word for “marshy land,"
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比薩這個名字 源自希臘語裡的「沼澤地」
01:29
which perfectly describes the clay, mud, and wet sand below the city’s surface.
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貼切描述了這片由黏土、泥巴 和潮濕的沙子組成的土地
01:35
Ancient Romans counteracted similar conditions with massive stone pillars
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古羅馬人曾用大型石柱 應付類似狀況
01:39
called piles which rest on Earth’s stable bedrock.
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這整批石柱稱為石堆 矗立在地球穩固的岩床上
01:44
However, the tower’s architects believed a three-meter foundation would suffice
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然而,斜塔的建築師認為三尺的地基 對這樣不怎麼高的建築來說
01:49
for their relatively short structure.
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已經足夠了
01:52
Unfortunately for them, less than five years later,
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還不到五年,不幸的事發生了
01:55
the tower’s southern side was already underground.
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這座高塔的南邊一角已經陷入地底
01:59
Such a shifting foundation would normally have been a fatal flaw.
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一般來說,如此不穩固的地基 總會帶來致命一擊
02:03
If workers added more weight,
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若是往塔上增加更多重量
02:05
the pressure from upper stories would sink the structure
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建築上層的重力 會使整座建築向下沉
02:08
and fatally increase the lean.
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傾斜情況便無法挽救
02:11
But construction halted at the fourth story for nearly a century
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但是建築到四樓時中斷了近百年
02:15
as Pisa descended into prolonged warfare.
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當時比薩進入長時間的戰爭時期
02:18
This long pause allowed the soil to settle,
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長時間停工使土壤有機會更加堅固
02:22
and when construction began again in 1272,
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當建設工程 1272 年重啟時
02:25
the foundation was on slightly more stable footing.
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高塔地基下的土壤變得稍微穩固了些
02:29
Under the direction of architect Giovanni di Simone,
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在建築師喬瓦尼·迪·西蒙尼的帶領下
02:32
workers compensated for the tower’s minor tilt
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為了調整回高塔傾斜前的樣子
02:35
by making the next few floors taller on the southern side.
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接下來建造的幾樓 南邊都會高出一點
02:40
But the weight of the extra masonry made that side sink even deeper.
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但額外的石造結構 卻讓南邊陷得更深
02:44
By the time they completed the seventh floor and bell chamber,
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七樓和鐘堂的建設工作完成時
02:48
the angle of the tilt was 1.6 degrees.
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高塔傾斜 1.6 度
02:52
For centuries, engineers tried numerous strategies to address the lean.
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數幾世紀來,工程師 試過無數種解決方案
02:56
In 1838, they dug a walkway around the base to examine the sunken foundation.
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1838 年,他們在高塔基底周圍 挖掘了走道以方便觀察下沉情況
03:01
But removing the supporting sand only worsened the tilt.
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但移除沙子後,傾斜卻更嚴重
03:06
In 1935, the Italian Corps of Engineers injected mortar to strengthen the base.
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1935 年,義大利工程隊在基底注入泥漿, 希望能讓地基更加穩固
03:12
However, the mortar wasn’t evenly distributed throughout the foundation,
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但是泥漿並沒有 均勻分散在地基每個部分
03:16
resulting in another sudden drop.
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造成高塔又一次下沉
03:19
All these failed attempts, along with the ever-sinking foundation,
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屢次失敗的嘗試 再加上持續下沉的基底
03:23
moved the tower closer to its tipping point.
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讓這座高塔面臨存亡關鍵
03:26
And without definitive knowledge of the soil composition,
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由於不瞭解土壤組成
03:29
engineers couldn’t pinpoint the tower’s fatal angle
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工程師無法查明臨界倒塌的傾斜度
03:33
or devise a way to stop its fall.
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或是任何讓高塔停止下沉的辦法
03:36
In the years following WWII,
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第二次世界大戰結束不久
03:38
researchers developed tests to identify those missing variables.
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研究人員設計了方法 用來找出先前無法發現的因素
03:42
And in the 1970’s, engineers calculated the curved tower’s center of gravity.
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1970 年代,工程師計算出 這座斜塔的重心
03:48
With this data and new computing technology,
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這些資料和電腦新科技
03:51
engineers could model how stiff the soil was, the tower’s trajectory,
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讓工程師得以模擬 土壤的軟硬和高塔的軌線
03:56
and the exact amount of excavation needed for the tower to remain standing.
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也找出應該要挖除的份量 來確保高塔不至於傾倒
04:01
In 1992, the team drilled diagonal tunnels
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1992 年,這個團隊 挖鑽出了斜線狀的坑道
04:05
to remove 38 cubic meters of soil from under the tower’s north end.
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在高塔北端移除了 38 立方公尺的土壤
04:10
Then, they temporarily counterbalanced the structure with 600 tons of lead ingots
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接著,在用鋼索繫住底座前
04:16
before anchoring the base with steel cables.
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他們先用 600 頓的鉛塊 暫時平衡整個結構
04:19
More than six centuries after its construction,
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距離高塔建成,已超過六個世紀
04:22
the tower was finally straightened… to a tilt of about four degrees.
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高塔終於稍微重回到 大約 4 度的傾斜角度
04:27
No one wanted the tower to fall,
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大家都希望這座高塔能屹立不搖
04:29
but they also didn’t want to lose the landmark’s most famous feature.
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卻也不想高塔失去最著名的特色
04:33
Today the tower stands at 55– or 56– meters tall,
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現在,高塔約 55、56 公尺高
04:38
and it should remain stable for at least 300 years
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接下來的 300 年 高塔都將穩固佇立於此
04:42
as a monument to the beauty of imperfection.
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縱有不甚完美之處 仍舊值得世人品味
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