The first diagram below is the presented problem for which we need to find the truss element forces. The results of the analysis are used to verify a structure's fitness for use, often precluding physical tests. The field of structural analysis engineering is generally divided into three separate categories: civil, architectural, and mechanical. Commercial computer software for structural analysis typically uses matrix finite-element analysis, which can be further classified into two main approaches: the displacement or stiffness method and the force or flexibility method. It does, however, make it generally possible to solve these equations, even with highly complex geometry and loading conditions, with the restriction that there is always some numerical error. Thus, a continuous system such as a plate or shell is modeled as a discrete system with a finite number of elements interconnected at finite number of nodes and the overall stiffness is the result of the addition of the stiffness of the various elements. The solution of elasticity problems also requires the solution of a system of partial differential equations, which is considerably more mathematically demanding than the solution of mechanics of materials problems, which require at most the solution of an ordinary differential equation. Structural analysis is thus a key part of the engineering design of structures. A structure refers to a body or system of connected parts used to support a load. Structural analysis assists in the design of structures that meet their functional requirements, are economical and attractivâ€¦ One important element of the structural analysis is the accurate analysis of the estimation of structural loads to be endured. As with any simplifying assumption in engineering, the more the model strays from reality, the less useful (and more dangerous) the result. Solutions for special cases exist for common structures such as thin-walled pressure vessels. The assemblage of the various stiffness's into a master stiffness matrix that represents the entire structure leads to the system's stiffness or flexibility relation. The method of mechanics of materials is limited to very simple structural elements under relatively simple loading conditions. Early applications of matrix methods were applied to articulated frameworks with truss, beam and column elements; later and more advanced matrix methods, referred to as "finite element analysis", model an entire structure with one-, two-, and three-dimensional elements and can be used for articulated systems together with continuous systems such as a pressure vessel, plates, shells, and three-dimensional solids. Due to the nature of the mathematics involved, analytical solutions may only be produced for relatively simple geometries. In other words, they contain the assumptions (among others) that the materials in question are elastic, that stress is related linearly to strain, that the material (but not the structure) behaves identically regardless of direction of the applied load, that all deformations are small, and that beams are long relative to their depth. Structural analysis assists in the design of structures that meet their functional requirements, are economical and attractive. This method itself relies upon other structural theories (such as the other two discussed here) for equations to solve. The analytical and computational development are best effected throughout by means of matrix algebra, solving partial differential equations. Structural engineering is the science and art of planning, designing, and constructing safe and economical structures that â€¦ To establish the stiffness (or flexibility) of a particular element, we can use the mechanics of materials approach for simple one-dimensional bar elements, and the elasticity approach for more complex two- and three-dimensional elements. What is mean by load curve in electrical engineering? In order to gain a comprehensive understanding of the subject, you should start at the top and work your way down the list. To design a structure, an engineer must account for its safety, aesthetics, and serviceability, while considering economic and environmental constraints. ROLE OF STRUCTURAL ANALYSIS IN STRUCTURAL ENGINEERING PROJECTS. For buildings and bridges, the main vertical loads are gravity loads, including the structure weight and the permanent accessories, known as dead loads. 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