The study aims to analyze the geometric characteristics of the pointed arches proposed by Al-Kāshī in his book "Miftāḥ al-Ḥisāb" (Key of Arithmetic) and investigate their planning principles, architectural application, and typological characteristics. Al-Kāshī completed this significant work in 1427 and dedicated it to Ulugh Beg, a Timurid Sultan in Samarkand. In the ninth chapter, titled "Al-‘Imārāt wa al-Abnīya" (Amīr’s Mansion and Building), Al-Kāshī sought to measure the surface areas and volumes of barrel vaults (Azaj) and domes (Qubba). To achieve this, he proposed five kinds of pointed arches (Ṭāq) and analyzed their drawing methods and composition principles. The Īwān and Qubba structures, which are curved architectural elements, hold significant importance in Islamic architecture. However, previous research has predominantly focused on comparing the drawings in Al-Kāshī's book with historical buildings, neglecting the inherent characteristics of the drawings themselves. This study intends to contribute to a deeper understanding of Al-Kāshī's remarkable work and shed light on the geometric aspects of monumental structures in the Timurid Period.

FRP is a new material that has light, high strength and high durability characteristics and is emerging as a third construction material in and out of countries. However, very few studies have been done on curved FRP construction materials that can be used for tunnels or arched bridges. In particular, many joints are required for the application of curved panels to the open cut tunnel. Experimental data on the performance of the joint is required due to insufficient design criteria. The purpose of this study is to analyze the structural performance of real size, composite materials curved panels. To achieve this goal, curved panels were constructed and bending performance was tested. A numerical analysis was also performed and compared with the results of the test. The results of the test showed that the average load was 757.6 kN and the average displacement of bottom was measured at 53.12 mm. Compression stress on the upper flange and tensile stress on the lower flange were within acceptable limits of 50% of the allowable stress.

This paper is a study on the nonlinear behavior of polyhedron curved space roof as building structures of quasicrystal system. The quasicrystal is made up of two kinds of parallel hexahedrons, and all the line elements of the parallelepiped have the same length. The quasicrystal design grid dome has a pentagonal symmetry and all members have the same length. This paper described form of design gird dome, and showed the analysis conditions. Also, The displacement-load curve is shown through the analysis and we grasped the flow of the load and forces through analysis of design grid dome applied quasicrystal system.

쉘형 구조물은 외력에 대해 효과적으로 저항할 수 있어, 두께를 얇게하면서 대공간 구조물을 만들 수 있는 장점이 있다. 이러한 장점은 구조형태에 크게 의존한다. 그러므로 많은 설계자들은 최적 형태를 설계에 반영하고자 하지만, 이는 간단치 않다. 지금까지 보다 최적의 형태를 얻기 위한 많은 기법들이 발표되어 왔고, 이들은 각각 장단점을 나타낸다. 본 논문에서는 최적의 곡면을 얻기 위해 기하학적 비선형을 고려한 유한요소법을 이용한 비교적 간단한 방법을 제안한다. 이러한 방법을 이용하여 다양한 쉘형 곡면에 적용하여 최적곡면을 얻고, 이를 비교한다.

막구조의 초기형상을 결정하기 위하여 막요소의 기하학적 비선형을 고려한 평형방정식을 유도하고, 등장력곡면(equally stressed surface)을 결정하기 위한 알고리즘을 정식화한다. 막구조는 대변형에 의한 기하학적 비선형성을 포함하고, 막구조의 특성상 초기장력에 의한 초기변형을 고려해야 하므로, 본 논문에서는 막구조와 같은 인장구조물의 비선형 수치해석을 수행하기 위한 해석기법으로써, 동적이완법(Dynamic Relaxation Method)에 대한 해석알고리즘을 적용하고, 이 방법에 의해 수행한 해석결과를 검토함으로써 막구조 해석에 적용 가능한 수치해석기법을 제시하고, 수치해석에 대한 예를 통해 본 해석법의 타당성을 검증한다.

Utilization of the fiber reinforced polymer(FRP) material has been enlarged as a substitution material to the general construction materials having certain long-term problems such as corrosion, etc. However, it could be difficult to apply the FRP material, which has a linear shape generally, to an arch or circle-shaped structure. Therefore, an attempt has been made in this study to develop a device to form a designed cross section of FRP material by pulling out with a curvature. A member of the curved FRP product was successfully produced and then strengthened intake tower by curved FRP members.