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Learning from the Leaning Tower

Posted April 18, 2012 9:30 AM by cheme_wordsmithy

The famous leaning Tower of Pisa is among Italy's most well-known tourist attractions. I remember first learning about it in elementary school, though the term "learning" is likely a stretch. In elementary school, only the main facts stuck with me:

1) It's a tower.

2) It leans.

3) It's made of pizza.

(Credit: Worth1000 - LRGx20)

Since I haven't been there, I can't confirm #3, but what I do know now is that the structure got its name and fame because of a simple, yet important engineering flaw.

How to Construct a Leaning Tower: Ignore the Foundation

The construction of the Tower of Pisa began on August 8, 1173 in Pisa, Italy as part of a cathedral complex (known as Piazza dei Miracoli) that would include four separate structures. The bell tower, intended to stretch 185 feet high, would be a symbol of the city's wealth. But because Pisa was a warring city-state at the time, its coffers were frequently run dry due to the expense of war. When no money was available, progress on the tower was halted. All in all, it took the city 136 years to complete from start to finish.

(Credit: Symon Sez -->)

The problem came after the first three floors were completed by 1185 and funding ran out. In that same year, the tower began to lean. This lean was not originally noticeable, but became apparent by the time they had reached the sixth floor over a hundred years later. Today, the tower's lean has extended to over 14 feet from center and is six feet shorter than it was originally.

The fault was due to the poor foundation upon which it was constructed. Pisa lies on a thin layer of soft alluvial silt above an even softer level of marine clay. The designer allowed the tower to be constructed on a stone bed footing with a depth of only ten feet into this soft ground. The weight from the structure was thus more than enough to gradually compact the earth, causing the tower to sink and tilt. Some say that the delays in construction are the only reason that the tower did not catastrophically collapse, and the extended time allowed the structure to settle and stabilize.

It was also found that the reason the tower leans south (rather than sinking straight down) is due to fluctuations in the water-table on the upper layer of silt. Pisa's water-table rose noticeably higher on the north side of the tower, causing the tower to dip on its south side.

Failed and Temporary Fixes

In 1934, Mussolini had concrete injected into the foundation, hoping to fix the tower's lean as a symbol of Italian pride. Some say this actually accelerated the leaning (way to go, Benito), but it certainly did not fix the problem.

By 1993, the rate of inclination had accelerated to concerning levels. In response, 600t of lead weights were placed on the towers north side as a temporary fix. These weights reduced inclination by about one minute of arc and reduced the overturning moment by about ten percent. The load was increased to 900t after unsuccessful attempts to replace the weights with more aesthetically pleasing anchors caused the rate of inclination to increase again.

(I think you've got something here... maybe just a few more giant lead bricks… - Credit: Talisman Coins)

Permanent Fixes

From supporting with cables, to drilling, to completely dismantling and relocating the structure, none of the permanent solutions for the unstable structure were particularly convenient. I remember coming up and drawing my own solution in an art class years ago, though I don't think my 100 foot tall wooden beam design would have impressed any civil engineers. Nowadays I think just hiring a giant person to hold it steady might be the simplest option:

In 1998, soil extraction was proposed and tested as a means to promote leaning back towards the towers north side. The test was a success, and extraction went full scale across the north side. By 2001, all the lead ingots had been removed. In 2003, a new drainage system was introduced on the north side to stabilize the water table. Settlement rates at the center of the tower's foundation are now less than 1.0 mm/year, close to the rate of the settlement of the entire Piazza from the Pisa plain itself.

The Future

The Tower of Pisa is a great example of a very fortunate mistake. It emphasizes the importance of ensuring a solid foundation and knowing the ground and soil consistency being worked with. Scientists and engineers have also gained a lot of specific knowledge and experience from studying and tackling the unique problems surrounding the leaning phenomenon and how it relates to soil structure and interactions.

Unfortunately, the complexity of the Tower of Pisa problem (and the phenomena controlling it) makes it impossible to know exactly what will happen in the future. If the dominant mechanism for instability is ground water levels, the tower will likely stay where it is. If the leaning is dependent on ground stabilization, it is likely the tower could resume leaning after the effects of the under-excavation are complete. However, serious rates of inclination (like those in 1993) will not likely return for at least 200 years.

Geo Engineer - Leaning Tower of Pisa: Behaviour after Stabilization Operations (pdf)

Symon Sez - Leaning Tower of Pisa, A Magnificent Engineering Failure

The Telegraph - Solving the 800-year mystery of Pisa's Leaning Tower

For some more reading on the leaning tower, check out these past entries on CR4:

"Workaholic Goes to Pisa"

Pisa: We All Need Someone To Lean On

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#1

Re: Learning from the Leaning Tower

04/18/2012 10:02 AM

Great post!

I'm pretty sure I said "Leaning tower of pizza" for much of my childhood as well. :)

I'd be scared to go all the way to the top, but I do need to get a picture of me holding it up at some point in my life.

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#2
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Re: Learning from the Leaning Tower

04/18/2012 1:16 PM

Who doesn't want a picture of themselves holding it up?

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Re: Learning from the Leaning Tower

04/18/2012 10:17 PM

I thought they were to put a clock on the tower on the basis that you might as well have the time since you already had the inclination.

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#4

Re: Learning from the Leaning Tower

04/19/2012 4:54 AM

grown to about 90 cm (about 7 feet).

eh?

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#6
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Re: Learning from the Leaning Tower

04/19/2012 8:00 AM

Thanks for the catch. Couldn't find any other information about the lean at the time of completion, so I just removed it entirely.

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#5

Re: Learning from the Leaning Tower

04/19/2012 7:45 AM

Though spectacular, Pisa's tower is not alone. There are buildings in the beautiful Italian city of Venice experiencing similar leans.

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Re: Learning from the Leaning Tower

04/19/2012 8:09 AM

Found one!

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#8

Re: Learning from the Leaning Tower

04/19/2012 9:23 AM

Great post there Cheme! I very much enjoyed it!!!

If an good sized earthquake occurs in that area the Tower of Pisa will undoubtedly come crashing down like a house of cards. That would be most unfortunate.

IMO, possibly the only way to really prop up the tower in it's original location is to dismantle it, then drive end-bearing piles to bedrock, then rebuilt the tower. A lot of this type of remedial work depends on the actual thickness of the underlying "marine clay" and the depth to sound bedrock to verify if it is even feasible and affordable. It will be a very costly and extensive geotechnical investigation, something the currently floundering Italian economy probably cannot afford.

I personally would love to see it in my lifetime before it falls down!

[Hey Cheme, howz things up in Albany, neighbor?]

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Re: Learning from the Leaning Tower

04/19/2012 10:34 AM

Thanks Capt. I'm hoping to see it as well someday when I get the chance to take a trip over there.

Things are going well in the Capital District. I was glad for an extremely mild winter, though that likely means we're in for a brutal summer. So it goes...

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Re: Learning from the Leaning Tower

04/19/2012 1:11 PM

Cheme, glad to hear that things are going go for you up there in Albany!

Yeah, this lack of snow this past winter has me a tad worried......lower water reservoir levels, lower aquifer levels, higher exposure to brush fires, and a long hot summer ahead! We hardly had any of the White Chit here too......the freaky October 30th snow storm dropped 15 inches here and barely anything more the remainder of the winter.

I truly miss working in the Capital District. I spent most of my life there (an original Burnt Hills native). I'm only 60 rough miles south of you, but I do feel isolated somewhat from the lifestyle afforded by living up there!

Just curious, what do you do for a living, work in the chemical industry?

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#13
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Re: Learning from the Leaning Tower

04/19/2012 2:30 PM

Yeah it is a nice area. I actually grew up in the lower Hudson Valley (Dutchess County), but moved up to work at GlobalSpec as an engineering tech writer. (My education is in chemical engineering, hence the username). Most of my work is on the new product selection guides that are being published on GlobalSpec's main website.

While I'm mentioning it, I'll insert a shameless plug here for the How to Select Industrial Products Blog on CR4, which discusses some of these selection guides a little less formally.

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Re: Learning from the Leaning Tower

04/19/2012 3:53 PM

Sounds like a very cool job that you have there!

I like that blog link that you provided.....not a shameless plug at all.

From Dutchess County eh? What town? DC, that's where I'm living currently...in the Village of Red Hook. It's too small and way too quiet. Well, at least the crime rate is very low! LOL

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Re: Learning from the Leaning Tower

04/20/2012 8:08 AM

Pawling - another very small town

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#10

Re: Learning from the Leaning Tower

04/19/2012 11:31 AM

There's certainly a great life lesson to learn from this story which all of you, Engineers and Designers especially, recognize on a daily basis.

We have to do our homework for a project. What are the factors that will/can influence the project? What is the purpose of the project? What is the most effective and efficient design? What materials will best accomplish the plan? There are many other questions as well.

In life most people carry on without any plan. They don't know what they want their destination to be (Stephen Covey's "begin with the end in mind") so they aimlessly go through life accomplishing very little of consequence and probably nothing of significance.

Most people don't set guidelines in place to establish a good foundation for their lives and therefore wind up "leaning" towards the ditches of life. They also don't know, or maybe don't care, they're "leaning" so they don't seek to get help to stabilize their structure of life in relationships, finances, etc. Just as Mussolini who was credited for "fixing" the problem with a soloution that actually exacerbated the deterioration, many people today seek to "fix" their "leaning" problems by listening to the wrong people; people without "fruit on the tree" (positive results) and thereby only exacerbate their deteriorating situations.

We should be careful who we listen to in the remediation of problems in life, whether professionally or personally.

I know this Post isn't exactly following the OP but my thought process is just a little weird like that. John Maxwell says, "experience without reflection is opportunity for learning lost." Maybe seeing examples in life and history can help me learn better how not to "lean" in life so that I can be as effective and contributory as possible.

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Re: Learning from the Leaning Tower

04/19/2012 1:03 PM

Very well said facilitiesmgr!!! Here here!!! GA from me....

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Re: Learning from the Leaning Tower

04/21/2012 2:50 PM

Sorry, unlike CaptMoosie, this looks to me like high flown rhetoric without little substance to it. I cannot read the future, I have never known in advance of any major or minor industrial revolution, or the lack of such a revolution. It has been a truism in the engineering fields that engineers should not make long term plans. We had a long period of continuity from the end of WW2 to the seventies, then the revolution happened, jobs left our shores quietly at first but at a great pace when automation kicked in as well. Who could plan for that? Many people planned their future based on the continuation of economic growth. Their plans went to hell in a handbasket, they took three jobs and still made less money. This still didn't stop us from telling school children the same fairy story, with the result that we have hundreds of thousands with mountains of debt and little chance of ever getting out from under. Planning put down them there but doesn't look like lifting them.

When I was a sixteen year old leaving school, somebody asked me what I wanted to do. I said that I had not much idea because that needed knowledge of what each occupation entailed.I muddled along, they put me in a drafting room as a clerk, then draughtsman, then designer, then Licensed Professional Engineer. I enjoyed my career until the lawyers and bean counters stepped in and instead of pursuing excellence we were told to seek only adequacy. That wasn't in the plan.

I guess I rambled too much to make my point. I cannot plan for a future that I cannot see. I cannot aspire to a position, to a future, of which, I have little knowledge or understanding. I wonder what it would be like to dedicate ones life to a plan and fail, especially if it was because of the external changes to the economic environment.

P.S. "draughtsman" because it was in the UK.

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#17

Re: Learning from the Leaning Tower

04/23/2012 8:00 AM

Any engineering solution ought not to disregard the historical significance of the original artefact in its past and current condition and the inherent curiosity in it. One of the features of the structure, for example, is that the upper floors were originally crafted so as to counteract the lean that developed as it was being built.

It does have international significance as a historical structure. Some rhetorical questions:

  • How far is any correction to be applied to the lean?
  • In reassembling it, how much of the original artefact would remain and how would the joins be concealed?
  • How significant would be any permanent engineered replacement parts be in terms of sustaining the structure and their impact upon the whole?
  • What would be the impact of each engineered solution on the visitor experience both during and afterwards?

For illustration of the considerations needed here is an extreme example: a tower at Pisa that didn't lean any more and had ≈50% replacement material might be as abstruse as, oh, say, shipping London Bridge to Lake Havasu City and rebuilding it there (no disrespects intended, for the engineering in the latter is top notch).

In the case of the LTP, while one must encompass the rights and desires of any ownership to determine the fate of a structure, respect for the historical significance of such a prominent international icon must surely take precedence whatever the first cost of any remedy might be. Indeed, the desire to visit it has been expressed in this thread by several respondents to it so far simply on the basis of curiosity, the distance, and therefore first cost to those individuals, being seemingly of little object.

In the UK, there are a number of agencies set up to conserve historic structures and their surroundings, English Heritage and The National Trust being the most prominent of them. These bodies consider and advocate the most appropriate approach to conservation, long-term care and public access in each case, part-funding conservation and repairs on occasions according to the availability of funding, which comes from a variety of sources both public and private. There is never enough to do it all, and stopping deterioration is more significant than repair in many cases.

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