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一、緒論在工廠及民用建築中常採用屋頂圓柱殼體。早在1925年,德國德克荷夫-衛德曼(Dyckerhoff & Widmann)公司與蔡司(Carl Zeiβ)公司合作試製一長6米,斷面為半椭圓形(椭圓長軸為4米)之殼體。當時因為是根據薄膜理論計算,所以採 This paper presents an approximate method for the calculation of elastic displacements and stresses of cylindrical roof shells. The calculations are based upon the following assumptions:(1) The thickness of the shell is sufficiently small, as compared with other dimensions.(2) The radius, longitudinal length and transverse arc-length of the shell are all magnitudes of the same order. (3) The normals of the unstrained middle surface deform into the normals of the strained middle surface (Kirchhoff-Love’s assumption).(4) The contribution to the deformation, due to the normal stress in the direction of the shell, is negligible.(5) The material obeys Hooke’s law.Among these, (1), (3), (4), and (5) are assumptions adopted by almost all existing theories. The assumption (2) is fulfilled for the common
First, the introduction In the factory and civil buildings often use the roof cylindrical shell. As early as 1925, Germany’s Dyckerhoff & Widmann and the company Carl Zeiβ collaborated on a pilot project of a 6 meter long section with a semi-oval shape (4 m long oval axis) The shell. The paper presents an approximate method for the calculation of elastic displacements and stresses of cylindrical roof shells. The calculations are based upon the following assumptions: (1) The thickness of the shell is substantially small, (2) The radius, longitudinal length and transverse arc-length of the shell are all magnitudes of the same order. (3) The normals of the unstrained middle surface deform into the normals of the strained middle surface ( Kirchhoff-Love’s assumption. (4) The contribution to the deformation, due to the normal stress in the direction of the shell, is negligible. (5) The material obeys Hooke’s law. Amm these, (1), (3), (4), and (5) are asspected adopted by almost all existing theories. The assumption (2) is fulfilled for the common