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🌍 The Eiffel Tower: A Major Turning Point of the Engineering World❗

Before the Eiffel Tower was built, the engineering world had a "great discovery" that became the basis for almost all structural work today, the Beam Theory.

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📌 Beam Theory was invented by two famous mathematician-engineers Leonhard Euler and Daniel Bernoulli (the one associated with the mathematical constant e, that's it).

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This theory, although complex, uses both differentials and integrals, can explain and calculate difficult things of structure, such as:

ðŸ”đ Bending Stress

ðŸ”đ beam deflection (Deflection)

ðŸ”đ the deflection of the pole (Buckling)

This discovery opens the door to a "theoretical" understanding of structure, but it is interesting...

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Despite the Beam Theory, great structures built, such as the Brooklyn Bridge or lighthouses of that era, do not reference detailed theoretical calculations.

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Most engineers use simple common sense calculations and then "safety allowance," called Safety Factor, such as 3 times 4 times, to ensure that bridges or structures do not collapse.

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👷ðŸŧ‍♂ïļ For example, Thomas Telford, a famous bridge engineer of the era, outlined the principle that cables should be at least three times as strong as the ultimate Tensile Strength, which is more of an "experienced" concept than a real theoretical equation.

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Until nearly 150 years later, the world saw the construction of the Eiffel Tower, completely different from the previous structure.

The Eiffel Tower was the first large-scale structure to be designed and built "on a serious scientific calculation basis." Over 72 engineers and scientists, together, used both Beam Theory and other scientific theories to design the towering steel structure in the middle of Paris.

This is a turning point in the engineering world, because for the first time, "theory" and "practice" were linked together.

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And why is it important ⁉ïļ

That 150-year period is the path of transition from experienced engineering to theoretical engineering. It is a collision between practical engineering, which relies on real experience, and Theoretical Engineering, which uses advanced mathematics and physics.

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And the result is the "Eiffel Tower" that has become a symbol of both art, architecture and the greatness of engineering to this day. 🌍âœĻ

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# Eiffel Tower # blog # Engineering # Engineering

2025/10/27 Edited to

... Read moreāļŦāļ­āđ„āļ­āđ€āļŸāļĨāđ„āļĄāđˆāđƒāļŠāđˆāđ€āļžāļĩāļĒāļ‡āđāļ„āđˆāļŠāļąāļāļĨāļąāļāļĐāļ“āđŒāļ—āļēāļ‡āļŠāļ–āļēāļ›āļąāļ•āļĒāļāļĢāļĢāļĄ āđāļ•āđˆāļĒāļąāļ‡āđ€āļ›āđ‡āļ™āļŠāļąāļāļĨāļąāļāļĐāļ“āđŒāļ‚āļ­āļ‡āļ„āļ§āļēāļĄāļāđ‰āļēāļ§āļŦāļ™āđ‰āļēāļ—āļēāļ‡āļ§āļīāļĻāļ§āļāļĢāļĢāļĄāļ—āļĩāđˆāđāļ—āđ‰āļˆāļĢāļīāļ‡ āđ‚āļ”āļĒāđ€āļ‰āļžāļēāļ°āļāļēāļĢāļ™āļģ Beam Theory āļĄāļēāđƒāļŠāđ‰āđƒāļ™āļāļĢāļ°āļšāļ§āļ™āļāļēāļĢāļ­āļ­āļāđāļšāļšāļ­āļĒāđˆāļēāļ‡āđ€āļ›āđ‡āļ™āļĢāļ°āļšāļš āļ‹āļķāđˆāļ‡ Beam Theory āđ€āļ›āđ‡āļ™āļ—āļĪāļĐāļŽāļĩāļ—āļēāļ‡āļ§āļīāļĻāļ§āļāļĢāļĢāļĄāļ—āļĩāđˆāļ­āļ˜āļīāļšāļēāļĒāļžāļĪāļ•āļīāļāļĢāļĢāļĄāļ‚āļ­āļ‡āļ§āļąāļŠāļ”āļļāđ€āļĄāļ·āđˆāļ­āļĢāļąāļšāđāļĢāļ‡ āđ€āļŠāđˆāļ™ āļ„āļ§āļēāļĄāđ€āļ„āđ‰āļ™āļ”āļąāļ” (Bending Stress) āđāļĨāļ°āļāļēāļĢāđ‚āļāđˆāļ‡āļ•āļąāļ§āļ‚āļ­āļ‡āđ‚āļ„āļĢāļ‡āļŠāļĢāđ‰āļēāļ‡ (Deflection) āļāļēāļĢāļ™āļģāļ—āļĪāļĐāļŽāļĩāļ™āļĩāđ‰āļĄāļēāđƒāļŠāđ‰āļ—āļģāđƒāļŦāđ‰āļ™āļąāļāļ§āļīāļĻāļ§āļāļĢāļŠāļēāļĄāļēāļĢāļ–āļ„āļģāļ™āļ§āļ“āđāļĨāļ°āļ§āļēāļ‡āđāļœāļ™āđ‚āļ„āļĢāļ‡āļŠāļĢāđ‰āļēāļ‡āđ„āļ”āđ‰āļ­āļĒāđˆāļēāļ‡āļĄāļĩāļ›āļĢāļ°āļŠāļīāļ—āļ˜āļīāļ āļēāļžāđāļĨāļ°āđāļĄāđˆāļ™āļĒāļģāļĄāļēāļāļ‚āļķāđ‰āļ™ āļāđˆāļ­āļ™āļŦāļ™āđ‰āļēāļ™āļąāđ‰āļ™ āļāļēāļĢāļŠāļĢāđ‰āļēāļ‡āđ‚āļ„āļĢāļ‡āļŠāļĢāđ‰āļēāļ‡āļ‚āļ™āļēāļ”āđƒāļŦāļāđˆ āđ€āļŠāđˆāļ™ āļŠāļ°āļžāļēāļ™āļšāļĢāļđāļ„āļĨāļīāļ™ āļŦāļĢāļ·āļ­āļ›āļĢāļ°āļ āļēāļ„āļēāļĢ āļĄāļąāļāļ­āļēāļĻāļąāļĒāļ›āļĢāļ°āļŠāļšāļāļēāļĢāļ“āđŒāđāļĨāļ°āļŦāļĨāļąāļāļāļēāļĢ Safety Factor āđ‚āļ”āļĒāļāļģāļŦāļ™āļ”āļ„āļ§āļēāļĄāđāļ‚āđ‡āļ‡āđāļĢāļ‡āđ€āļāļīāļ™āļ„āļ§āļēāļĄāļˆāļģāđ€āļ›āđ‡āļ™āđ€āļžāļ·āđˆāļ­āļ„āļ§āļēāļĄāļ›āļĨāļ­āļ”āļ āļąāļĒ āđāļ•āđˆāļ”āđ‰āļ§āļĒāđāļ™āļ§āļ„āļīāļ”āđāļĨāļ°āļāļēāļĢāļ„āļģāļ™āļ§āļ“āļ­āļĒāđˆāļēāļ‡āļĄāļĩāļŦāļĨāļąāļāļāļēāļĢāļ‚āļ­āļ‡ Beam Theory āļ—āļģāđƒāļŦāđ‰āļŦāļ­āđ„āļ­āđ€āļŸāļĨāļŠāļēāļĄāļēāļĢāļ–āļĨāļ”āļ™āđ‰āļģāļŦāļ™āļąāļāđ‚āļ„āļĢāļ‡āļŠāļĢāđ‰āļēāļ‡āļĨāļ‡āđāļĨāļ°āđƒāļŠāđ‰āļ§āļąāļŠāļ”āļļāđ„āļ”āđ‰āļ­āļĒāđˆāļēāļ‡āļ„āļļāđ‰āļĄāļ„āđˆāļē āđƒāļ™āļ‚āļ“āļ°āļ—āļĩāđˆāļĒāļąāļ‡āļ„āļ‡āļ„āļ§āļēāļĄāđāļ‚āđ‡āļ‡āđāļĢāļ‡āđāļĨāļ°āļĄāļąāđˆāļ™āļ„āļ‡ āļāļēāļĢāļ›āļĢāļąāļšāđƒāļŠāđ‰āļ—āļĪāļĐāļŽāļĩāļ™āļĩāđ‰āđƒāļ™āđ‚āļ„āļĢāļ‡āļŠāļĢāđ‰āļēāļ‡āļŦāļ­āđ„āļ­āđ€āļŸāļĨāļĒāļąāļ‡āļ—āļģāđƒāļŦāđ‰āđ€āļāļīāļ”āļāļēāļĢāļžāļąāļ’āļ™āļēāđ€āļ—āļ„āļ™āļīāļ„āļāļēāļĢāļāđˆāļ­āļŠāļĢāđ‰āļēāļ‡āđ€āļŦāļĨāđ‡āļāļ—āļĩāđˆāļ—āļąāļ™āļŠāļĄāļąāļĒ āļĢāļ§āļĄāļ–āļķāļ‡āđāļšāļšāļˆāļģāļĨāļ­āļ‡āļ—āļēāļ‡āļ„āļ“āļīāļ•āļĻāļēāļŠāļ•āļĢāđŒāļ—āļĩāđˆāļ‹āļąāļšāļ‹āđ‰āļ­āļ™āļ‹āļķāđˆāļ‡āļŠāđˆāļ§āļĒāļ§āļīāđ€āļ„āļĢāļēāļ°āļŦāđŒāđāļĢāļ‡āđāļĨāļ°āļ„āļ§āļēāļĄāļ•āđ‰āļēāļ™āļ—āļēāļ™āđƒāļ™āđāļ•āđˆāļĨāļ°āļŠāđˆāļ§āļ™āļ‚āļ­āļ‡āđ‚āļ„āļĢāļ‡āļŠāļĢāđ‰āļēāļ‡āļ­āļĒāđˆāļēāļ‡āļĨāļ°āđ€āļ­āļĩāļĒāļ” āļ™āļ­āļāļˆāļēāļāļ™āļĩāđ‰ āļāļēāļĢāļ—āļģāļ‡āļēāļ™āļĢāđˆāļ§āļĄāļāļąāļ™āļ‚āļ­āļ‡āļ™āļąāļāļ§āļīāļ—āļĒāļēāļĻāļēāļŠāļ•āļĢāđŒ āļ§āļīāļĻāļ§āļāļĢ āđāļĨāļ°āļŠāđˆāļēāļ‡āļāđˆāļ­āļŠāļĢāđ‰āļēāļ‡āđ€āļ›āđ‡āļ™āļāļēāļĢāđ€āļ™āđ‰āļ™āļĒāđ‰āļģāļ–āļķāļ‡āļ„āļ§āļēāļĄāļŠāļģāļ„āļąāļāļ‚āļ­āļ‡āļ„āļ§āļēāļĄāļĢāđˆāļ§āļĄāļĄāļ·āļ­āđƒāļ™āļ§āļīāļĻāļ§āļāļĢāļĢāļĄāļŠāļĄāļąāļĒāđƒāļŦāļĄāđˆ āļ™āļ­āļāļˆāļēāļāļĄāļļāļĄāļĄāļ­āļ‡āļ—āļēāļ‡āļ§āļīāļĻāļ§āļāļĢāļĢāļĄāđāļĨāđ‰āļ§ āļŦāļ­āđ„āļ­āđ€āļŸāļĨāļĒāļąāļ‡āđ„āļ”āđ‰āļĢāļąāļšāļāļēāļĢāļĒāļ­āļĄāļĢāļąāļšāđƒāļ™āļ”āđ‰āļēāļ™āļ›āļĢāļ°āļ§āļąāļ•āļīāļĻāļēāļŠāļ•āļĢāđŒāđāļĨāļ°āļĻāļīāļĨāļ›āļ° āđ€āļ›āđ‡āļ™āļ•āļąāļ§āđāļ—āļ™āļ‚āļ­āļ‡āļāļēāļĢāļ›āļĢāļ°āļŠāļēāļ™āļ‡āļēāļ™āļĢāļ°āļŦāļ§āđˆāļēāļ‡āļĻāļēāļŠāļ•āļĢāđŒāđāļĨāļ°āļĻāļīāļĨāļ›āđŒāļ—āļĩāđˆāđ„āļĄāđˆāđāļĒāļāļˆāļēāļāļāļąāļ™ āļŠāđˆāļ§āļĒāļŠāļĢāđ‰āļēāļ‡āđāļĢāļ‡āļšāļąāļ™āļ”āļēāļĨāđƒāļˆāđƒāļŦāđ‰āļāļąāļšāļ™āļąāļāļ­āļ­āļāđāļšāļšāđāļĨāļ°āļ§āļīāļĻāļ§āļāļĢāļĢāļļāđˆāļ™āļŦāļĨāļąāļ‡āđƒāļ™āļāļēāļĢāļœāļĨāļąāļāļ”āļąāļ™āļ‚āļ­āļšāđ€āļ‚āļ•āļ‚āļ­āļ‡āļ™āļ§āļąāļ•āļāļĢāļĢāļĄāđāļĨāļ°āļ„āļ§āļēāļĄāļ„āļīāļ”āļĢāļīāđ€āļĢāļīāđˆāļĄāđƒāļŦāļĄāđˆ āđ†

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#parischristmas #eiffel tower #MerryChristmas #ai #feliznavidad🎄
faby.manzo8

faby.manzo8

9 likes

Paris Through My Lens: The Eiffel Tower in Motion
Paris #parisvibes #eiffeltower #france #lasuitegirafe #fyp
EliâĪïļ

EliâĪïļ

9 likes

Con Man Sold the Eiffel Tower TWICE
Con Man Sold the Eiffel Tower TWICE and Got Away With It!! This guy really sold the Eiffel Tower twice 😭 #history #crime #scam #facts
The Archivist Files

The Archivist Files

2 likes

𝓖ð“ļð“ļ𝓭 ð“―ð“ēð“ķð“Ū @ Eiffel TowerâœĻðŸĨ°
#eiffel tower #paris #summerbod #europeansummer #aboutmylife
âœĻ Princess life 👑ðŸ’Ŧ

âœĻ Princess life 👑ðŸ’Ŧ

45 likes

Me + the Eiffel Tower = tears, joy, everything.
Melat Asefa

Melat Asefa

0 likes

3D Relief of Eiffel Tower and Cheerful Puppy GCODE
bringing joy and cheer to all in the Creative Universe #3dprints #e tsy
CoolArtNow

CoolArtNow

3 likes

come visit the Eiffel Tower with me!
Eiffel Tower #paris #eiffeltower #summerdiary #lemon8contest
Scarlett

Scarlett

12 likes

The Eiffel Tower is bathed in golden morning light, framed by classic Parisian buildings under a clear blue sky, capturing a peaceful sunrise view.
A striking silhouette of the Eiffel Tower stands against a vibrant sunrise sky, with hues of blue and orange, overlooking a wide plaza in Paris.
The Eiffel Tower stands tall against a beautiful sunrise sky, with a park, trees, and a fountain in the foreground, showcasing a serene Parisian morning.
Sunrise stroll around Eiffel Tower ☚ïļ
Paris during sunrise can be so peaceful and pretty quite! Loved ending my walk in a cafe while enjoying my cafe plus pau chocolate and people watching âœĻâœĻâœĻ #paris #sunrisestroll #getoutsideyourcomfortzone
Jenni ☀ïļðŸĶ

Jenni ☀ïļðŸĶ

46 likes

ðŸ“ļ Eiffel tower viewsðŸ“ļ
#Lemon8Diary #lemon8diarychallenge for the first time we went up to the Eiffel Tower Viewing Deck and looked out at Vegas. What views!! Seriously! I’m sure in the daytime it is wonderful but at night it is stunning ðŸĪĐ I love getting light trail photos and I got some beautiful ones from way u
StephJeanPhotos

StephJeanPhotos

5 likes

Eiffel Tower in Paris âœĻ
#lemon8diarychallenge #eiffel tower #paris #parisvibes #toureiffel Location: Eiffel Towel
itz.olivia

itz.olivia

26 likes

eiffel tower in paris, france
#eiffel tower #toureiffel #francetravel #france
Liz🌷

Liz🌷

29 likes

🎓 MEET YOUR MAJOR
âœĻ Trying to figure out what you want to study in college? This graphic is a great starting point. Whether you’re an Earth Enthusiast, Creative Cookie, or Policy Person, there’s a place for you on campus. ðŸ‘ĐðŸū‍ðŸŦ💞ðŸ‘ĐðŸū‍ðŸŽĻ 📝 Here’s a breakdown of the categories + just a few jobs each one can lead to:
Margarita

Margarita

1246 likes

Dinner With Eiffel Tower View at Les Ombres, Paris
Have a great dinner at Les Ombres in Paris, great dinner and great service, so impressed to see the Eiffel Tower while eating too ðŸĨ° #lesombres #parisdinner #parisrestaurants #frenchfood #paristravel Les Ombres
PairRynn

PairRynn

0 likes

Over Eiffel tower
#paris #eiffel tower
Ankita Keshri

Ankita Keshri

3 likes

The Eiffel Tower if all humans went EXTINCT
What would the Eiffel Tower look like if it was abandoned? Would it take 50 years, 200 years? Come find outâ€Ķ #decay #ai #slideshow #beforeandafter #eiffeltower
storystack

storystack

2 likes

Paris Eiffel Tower
#eiffel tower #paris #parisfrance #travelcreator
Nature & Peace 🍋🌞🌚ðŸŒļ

Nature & Peace 🍋🌞🌚ðŸŒļ

6 likes

Macro Engineering for real world July 4th - 15th Energy Crisi
Clark Kent@ The Daily Planet

Clark Kent@ The Daily Planet

0 likes

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