Content area

Full Text

Abstract: This work present two methods for determining the development of double-curved surface. The aims of this paper is to show a comparative study between methods for determination of the sheet metal requirements for complex roof cover shape. In first part of the paper are presented the basic sketch and information about the roof shape and some consecrated buildings, which have a complex roof shape. The second part of the paper shows two methods for determining the developed of the spherical roof. The graphical method is the first method used for developing of the spherical shape. In this method it used the poly-cylindrical method to develop the double-curved surface. The second method is accomplishing by using the dedicated CAD software method.

Key words: roof shape, descriptive geometry, developed surface, CAD.

1. INTRODUCTION

Nowadays the rapid development of the building with complex surface prior require to use the graphical methods. From the oldest times the people has used approximate methods to make roofs with complex surface for different buildings. The style and shape of the roof varies depending on the geographic location, type of the building and the nation from that area, or country. In the ancient time the construction of the many buildings are accomplished according to golden ratio proportion. Using this method, the buildings have a beautiful aspect and a strong structure.

Since the 18th century the mathematician Gaspard Monge published the first treaty of Descriptive Geometry, creating a graphical representation approach of the spatial object in orthogonal projections, solving many problems in an easy and precise engineering manner.

2. ROOF SHAPES

Some of the arhitectural roof shapes, used especially in the case of the religious buildings, which are composed of arches of a circle, [7], [9] are presented below:

* Semicircle

The ends of the semicircle points that define the roof are collinear with the center point, the shape of the arch are presented in figure 1.

Stilted semicircle arch, presented in figure 2, are ends extended below of the center point of the center arch. These are vertical lines from the center point of the arch. Semi-circular arch is especially characteristic of Romanesque architecture.

* Segmental arch

The extreme points of this construction are located above of the center point arch. The...

Show less