Lecture

Calculating Deformations: Virtual Work Principles

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Description

This lecture covers the principles of calculating deformations in structures, focusing on virtual work methods. The instructor explains the concept of virtual displacements and their application in structural analysis. The lecture begins with an example of a uniformly loaded cantilever beam, illustrating how to determine the corresponding deformed shape. The instructor discusses the real and virtual moments in the structure, emphasizing the importance of calculating these moments accurately. The lecture also introduces the use of tables and analytical methods for integrating polynomial equations related to structural forces. Additionally, the impact of temperature on structural deformation is addressed, highlighting how temperature variations can affect material behavior. The instructor concludes by stressing the significance of understanding these principles for analyzing hyperstatic structures and the necessity of mastering the calculation methods for isostatic structures. This foundational knowledge is essential for future studies in structural engineering and analysis.

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Ontological neighbourhood

Civil engineering

Structural engineering: Topics in structural engineering

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Structural analysis is a branch of solid mechanics which uses simplified models for solids like bars, beams and shells for engineering decision making. Its main objective is to determine the effect of loads on the physical structures and their components. In contrast to theory of elasticity, the models used in structure analysis are often differential equations in one spatial variable. Structures subject to this type of analysis include all that must withstand loads, such as buildings, bridges, aircraft and ships.

Structural engineering

Structural engineering is a sub-discipline of civil engineering in which structural engineers are trained to design the 'bones and muscles' that create the form and shape of human-made structures. Structural engineers also must understand and calculate the stability, strength, rigidity and earthquake-susceptibility of built structures for buildings and nonbuilding structures. The structural designs are integrated with those of other designers such as architects and building services engineer and often supervise the construction of projects by contractors on site.

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A cantilever is a rigid structural element that extends horizontally and is supported at only one end. Typically it extends from a flat vertical surface such as a wall, to which it must be firmly attached. Like other structural elements, a cantilever can be formed as a beam, plate, truss, or slab. When subjected to a structural load at its far, unsupported end, the cantilever carries the load to the support where it applies a shear stress and a bending moment. Cantilever construction allows overhanging structures without additional support.

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