Why doesnt the Leaning Tower of Pisa fall over Alex Gendler

In 1990, the Italian government
enlisted top engineers

to stabilize Pisa’s famous Leaning Tower.

There’d been many attempts to right the
tower during its 800 year history,

but this team’s computer models revealed
the urgency of their situation.

They projected the tower would topple if
it reached an angle of 5.44 degrees—

and it was currently leaning at 5.5.

No one knew how the tower was still
standing, but the crisis was clear:

they had to solve a problem that
stumped centuries of engineers,

and they needed to do it fast.

To understand their situation,

it’s helpful to understand why the
tower tilted in the first place.

In the 12th century, the wealthy
maritime republic of Pisa

set about turning its cathedral square
into a magnificent landmark.

Workers embellished and enlarged
the existing church,

and added a massive domed
baptistry to the plaza.

In 1173, construction began on a
free-standing campanile, or bell tower.

The engineers and architects of the
time were masters of their craft.

But for all their engineering knowledge,

they knew far less about the
ground they stood on.

Pisa’s name comes from a
Greek word for “marshy land,"

which perfectly describes the clay, mud,
and wet sand below the city’s surface.

Ancient Romans counteracted similar
conditions with massive stone pillars

called piles which rest on
Earth’s stable bedrock.

However, the tower’s architects believed
a three-meter foundation would suffice

for their relatively short structure.

Unfortunately for them,
less than five years later,

the tower’s southern side
was already underground.

Such a shifting foundation would
normally have been a fatal flaw.

If workers added more weight,

the pressure from upper stories
would sink the structure

and fatally increase the lean.

But construction halted at the
fourth story for nearly a century

as Pisa descended into prolonged warfare.

This long pause allowed
the soil to settle,

and when construction
began again in 1272,

the foundation was on
slightly more stable footing.

Under the direction of
architect Giovanni di Simone,

workers compensated for
the tower’s minor tilt

by making the next few floors taller
on the southern side.

But the weight of the extra masonry
made that side sink even deeper.

By the time they completed the seventh
floor and bell chamber,

the angle of the tilt was 1.6 degrees.

For centuries, engineers tried numerous
strategies to address the lean.

In 1838, they dug a walkway around the
base to examine the sunken foundation.

But removing the supporting sand only
worsened the tilt.

In 1935, the Italian Corps of Engineers
injected mortar to strengthen the base.

However, the mortar wasn’t evenly
distributed throughout the foundation,

resulting in another sudden drop.

All these failed attempts, along with
the ever-sinking foundation,

moved the tower closer to
its tipping point.

And without definitive knowledge
of the soil composition,

engineers couldn’t pinpoint
the tower’s fatal angle

or devise a way to stop its fall.

In the years following WWII,

researchers developed tests to
identify those missing variables.

And in the 1970’s, engineers calculated
the curved tower’s center of gravity.

With this data and new
computing technology,

engineers could model how stiff
the soil was, the tower’s trajectory,

and the exact amount of excavation
needed for the tower to remain standing.

In 1992, the team drilled diagonal tunnels

to remove 38 cubic meters of soil
from under the tower’s north end.

Then, they temporarily counterbalanced
the structure with 600 tons of lead ingots

before anchoring the base
with steel cables.

More than six centuries
after its construction,

the tower was finally straightened…
to a tilt of about four degrees.

No one wanted the tower to fall,

but they also didn’t want to lose the
landmark’s most famous feature.

Today the tower stands at
55– or 56– meters tall,

and it should remain stable
for at least 300 years

as a monument to the
beauty of imperfection.

1990 年,意大利政府
聘请顶尖工程师

来加固比萨著名的斜塔。

在其 800 年的历史中,曾多次尝试修复这座塔,

但该团队的计算机模型揭示
了他们处境的紧迫性。

他们预计,如果塔
的角度达到 5.44 度

,塔就会倒塌——目前它的倾斜度为 5.5。

没有人知道这座塔是如何
屹立不倒的,但危机是显而易见的:

他们必须解决一个困扰了
数百年工程师的问题,

而且他们需要尽快解决。

要了解他们的情况

,首先要了解为什么
塔会倾斜。

12 世纪,富裕的
海洋共和国比萨

开始着手将其大教堂广场
变成宏伟的地标。

工人们
对现有的教堂进行了装饰和扩建,

并在广场上增加了一个巨大的圆顶
洗礼堂。

1173 年,开始建造一座
独立的钟楼或钟楼。

当时的工程师和建筑师
是他们手艺的大师。

但是对于他们所有的工程知识,

他们对
他们所站在的地面知之甚少。

比萨的名字来源于
希腊语“沼泽地”

,它完美地描述了城市表面以下的粘土、泥土
和湿沙。

古罗马人
用巨大的石柱来抵消类似的情况,

这些石柱位于
地球稳定的基岩上

。 塔的建筑师们
认为三米高的地基足以

满足他们相对较短的结构。

不幸的是,
不到五年后

,塔的
南侧已经在地下。

这样的移动地基
通常会是一个致命的缺陷。

如果工人增加更多 重量,

来自上层的压力
会使结构下沉

并致命地增加倾斜度。

但由于比萨陷入长期战争,施工在
第四层停止了近一个世纪

这种长时间的停顿
使土壤沉降

,当施工
再次开始时 1272 年

,地基
稍稍稳固。


建筑师乔瓦尼·迪·西蒙尼(Giovanni di Simone)的指导下,

工人们补偿了 r

通过使南侧接下来的几层更高
,塔的轻微倾斜。

但是额外的砖石的重量
使那一侧下沉得更深。

当他们完成
七楼和钟室时,

倾斜的角度是1.6度。

几个世纪以来,工程师们尝试了许多
策略来解决精益问题。

1838 年,他们在基地周围挖了一条人行道,
以检查下沉的地基。

但是去除支撑沙子只会
使倾斜恶化。

1935年,意大利工程兵团
注入砂浆加固基地。

然而,砂浆并没有均匀地
分布在整个地基上,

导致又一次突然下降。

所有这些失败的尝试,
连同不断下沉的地基,

使这座塔更接近
它的临界点。

在没有确切
了解土壤成分的情况下,

工程师无法
确定塔的致命角度

或设计阻止其倒塌的方法。

在二战后的几年里,

研究人员开发了测试来
识别那些缺失的变量。

在 1970 年代,工程师计算
了弯曲塔的重心。

借助这些数据和新的
计算技术,

工程师可以模拟
土壤的硬度、塔的轨迹

以及
塔保持站立所需的确切开挖量。

1992 年,该团队钻了斜

隧道,从塔的北端清除了 38 立方米的土壤

然后,他们
用 600 吨铅锭临时平衡了结构,

然后用钢索锚定了底座
。 在建造

六个多世纪
后,

这座塔终于被拉直了
……倾斜了大约四度。

没有人希望塔倒塌,

但他们也不想失去这座
地标最著名的特色。

今天,这座塔高
55 米或 56 米,作为不完美之美的纪念碑

,它应该保持
稳定至少 300 年