Preface In the year 1999, when still everything was very
much undefined about the reconstruction design, General Engineering was asked to provide
preliminary technical documentation about the studies that could be worked out for the Old
Bridge of Mostar.
On that occasion some tentatives were
performed although the source data available were still very scarce and not in final
formats.
The results and comments are contained in
the following technical report: of course most of the contents are not anymore
updated any many things are innacurate, but this report let us understand, on one side,
how difficult it was to start a work of the kind, and on the other, how many design
strategies were correctly started from the very beginning.
By the right side there are some pages of
the report in its original layout.
Preliminary studies for the Old Bridge have been
developed by General Engineering during the years 1996-1999 on its own, with no help, few
data and no resources.
Authors of the text: Manfredo Romeo -
Bernardo Rossi - Giovanni Checcucci.
In this first part of the document there are the
following paragraphs:
survey optimization - error mediation
stone radial construction research
arsin modularity and construction compare
|
|
SURVEY OPTIMIZATION - ERROR
MEDIATION
The work done for the bridge survey determination
has been towards the filing of all the metric sources in only one informatic system that
allows the graphical and numerical comparison of all the data. Through this operating
method it has been possible to locate anomalies and errors of the data sources. All the
choices made have been documented trough data tables and graphic representations: any of
the requested elaboration will be provided as it is, and with the documented differences
with the other data sources. Moreover the result of this job will lead to the working out
of a single survey of the bridge which is the most probable survey (with the available
data) of the Stari Most as it was before destruction. This survey will constitute the
first step towards a complete three dimensional model of the arc, and the first step
towards the restoration design with the possibility of giving the exact geometry location
and dimensions of every single stone of the bridge to be found from the river or to be
substituted or integrated as lack or gap.
Main elaboration - north elevation -
comparison phase with data sources coming from the survey of the 1980.
Main elaboration - north elevation -
comparison phase with data sources coming from processed images trough electronic
photogrammetry informatic systems
Main elaboration - north elevation -
comparison phase with data sources coming from numerical data of the survey of the 1950
Main elaboration - north elevation - all the
numerical local data has been represented with circles of radius equal to the
corresponding value, before setting final position in x,y.
Main elaboration - north elevation -
differences found on to data coming from different sources: the correction will be done
trough a rotation of the intrados point on to a circle of radius equal to the numerical
local data of the 1950 survey but keeping the height coming from the 1980 survey. This
because global measures are more reliable in photogrammetric surveys. Any variation has
been documented and verified on other data sources.
Each stone, one by one has been filed: its position,
with the two points shared with the intrados curve, and its dimension, shape and geometry
have been determined, compared in the different data sources. Every differences found over
certain limits have been mediated, and many wrong data sources have been located and
neglected.
All the stones of the arc (north side only, at the moment) have been classified with a
progressive number according to the same conventions used in the past surveys. All these
dimensions are available in a data base information system, and may be then linked to all
the other information concerning the three dimensional data to allow, at the end, the six
orthogonal view necessary to define each stone to be found or to be extracted.
Stones are determined not only in their single dimensions, but also in their mutual
position, so that it is possible to define curve and shape of the whole structure.
The tables containing all the numeric data of
each stone of the arc of the north elevation. The table Is an extract of the global one.
The references dimensions listed in the
electronic sheet.
The geometric construction that points out
the incoherence found in the 1950 numeric survey.
STONE RADIAL
CONSTRUCTION RESEARCH
One of the most significant impediment found in the
layout of the vectorial drawing of the survey has been the stone connection orientation:
small differences found in intrados and extrados length, or simply the thickness of the
representation lines in the photogrammetric survey may lead to a considerably high error
on the local stone gradient. This may bring to a general discordance in the final layout
of stone radial directions.
For this reason it has been of great importance to determine a center of radial direction
of stone connections just to have reference guide lines among which may be possible to
locate the real position and direction of the connection itself.
To obtain this data it has been necessary to write a mathematic routine which has been
used in different steps with loops aimed at the minimalization of the error by the moving
of the center position and of the radius length in predefined ranges.
The result is constituted by a point and a length which are the center and the radius of
the circle which best fits all the points of the intrados curve.
Last step graphic, representing in X, the
center position by the middle point of the arc span, in Y the radius value, and in Z the
minimum error found comparing all the intrados points of the arc in the right part of
north elevation (not affected by settlements and deformations).
Ranges in which radius and center position
should vary in the seek of the best-fit.
ARSIN MODULARITY AND
CONSTRUCTION COMPARE
The Arsin modularity constitutes a fundamental
parameter with which should be compared the mathematic and geometric model to understand
wether the construction is correct or not. The Arsin measure is not sharp, and varies in a
certain range documented by historic researches. This investigation was first led by
Prof.Arch.Blasi, and from this indication the work has been developed to verify data
obtained trough the mathematic analysis. The results are reliable, and in the historic
range of the Arsin the geometric construction of the bridge may be compatible.
Preview of the global drawings of the north
elevation: they will be printed in a scale of 1:50 with all the dimensions of every single
stone, in a table of 1.5×1 meters
|