The Leaning Tower of Pisa: Kinematic Levelling of the Foundation Plane in the Period 1993–1994

  • A. Colombo
  • C. Monti
  • G. Vassena
Part of the International Centre for Mechanical Sciences book series (CISM, volume 365)


The aim of this paper is to analyse kinematically the rigid tilt of the Pisa Tower foundation plane in the period 1993–1994, when a counterweight was displaced on the North side of the basement. The kinematics is studied using a kinematic levelling approach. In the first four paragraphes the kinematic levelling method and the counterweight application history are briefly described; moreover the results obtained are briefly analysed with some closing remarks.

The eight benchmarks under study are hanged to the Tower inside walls and can give a good idea of the Tower basement deformation trend. The levelling measurements have been made daily since 14/06/1993 and this fact allows to use these informations as a valuable way to check the reliability of the electronic instruments that observe continuously the Tower behaviour.


Foundation Plane North Side Vertical Shift Closing Remark Vertical Speed 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    A. Colombo: “Analisi delle deformazioni della Torre di Pisa dalla data della sua fondazione a oggi”, Tesi di laurea in Ingegneria Civile per la Difesa del Suolo e la Pianificazione del Territorio, Politecnico di Milano, facoltà di Ingegneria, anno accademico 1993/1994.Google Scholar
  2. [2]
    L. Colombo, G. Fangi, L. Mussio, F. Radicioni: “Kinematic processing and spatial analysis of levelling control data of the Ancona ‘82 landslide”, Proceeding of the symposium on height determination and recent crustal movements in Western Europe, Hannover, 15–17 September 1986.Google Scholar
  3. [3]
    D. Costanzo, M. Jamiolkowski, R. Lancellotta, M.C. Pepe: “Leaning Tower of Pisa: Description of the behaviour”, Invited Lecture-Settlement ‘84, Texas AM University, 1994.Google Scholar
  4. [4]
    A. De Haan, G. Forlani: “The system of Program LEVEL for Kinematic Levelling Adjustments”, Bollettino di Geodesia e Scienze affini, year XLVIII, n° 4, Ottobre-Novembre- Dicembre, 1989.Google Scholar
  5. [5]
    A. De Haan, G. Forlani: “ Kinematic Levelling Adjustments with Polynomials and Polynomial Splines”, Bollettino di Geodesia e Scienze Affini. year XLVIII, n° 3, Luglio- Agosto- Settembre, 1989.Google Scholar
  6. [6]
    G. Forlani, L. Mussio. “The Kinematic Adjustment of levelling networks”, Bologna, ed. Unguendoli, 1989.Google Scholar
  7. [7]
    C. Monti, G. Vassena: “The leaning tower of Pisa: the geodetic approach to the control of the deformations”, Is1 Turkish International Symposium on Deformations, 5–9 September 1994, Istanbul, 1994.Google Scholar
  8. [8]
    Politecnico di Milano - Dipartimento di Ingegneria Idraulica, Ambientale e del Rilevamento, Comitato per gli intervento di consolidamento e restauro della Torre di Pisa. “Supervisione ed interpretazione dei rilievi geodetici - topografici nella Piazza dei Miracoli e sulla Torre di Pisa”, Milano, 1994.Google Scholar

Copyright information

© Springer-Verlag Wien 1996

Authors and Affiliations

  • A. Colombo
    • 1
  • C. Monti
    • 1
  • G. Vassena
    • 2
  1. 1.Polytechnic of MilanMilanItaly
  2. 2.University of BresciaBresciaItaly

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