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  2. Castigliano's method - Wikipedia

    en.wikipedia.org/wiki/Castigliano's_method

    Castigliano's method for calculating displacements is an application of his second theorem, which states: If the strain energy of a linearly elastic structure can be expressed as a function of generalised force Q i then the partial derivative of the strain energy with respect to generalised force gives the generalised displacement q i in the direction of Q i.

  3. Shell pavement design method - Wikipedia

    en.wikipedia.org/wiki/Shell_pavement_design_method

    The Shell pavement design method was used in many countries for the design of new pavements made of asphalt. [1] First published in 1963, [2] it was the first mechanistic design method, providing a procedure that was no longer based on codification of historic experience but instead that permitted computation of strain levels at key positions in the pavement.

  4. Duhamel's integral - Wikipedia

    en.wikipedia.org/wiki/Duhamel's_integral

    If a system initially rests at its equilibrium position, from where it is acted upon by a unit-impulse at the instance t=0, i.e., p(t) in the equation above is a Dirac delta function δ(t), () = | = =, then by solving the differential equation one can get a fundamental solution (known as a unit-impulse response function)

  5. Strength of materials - Wikipedia

    en.wikipedia.org/wiki/Strength_of_materials

    The strength of materials is determined using various methods of calculating the stresses and strains in structural members, such as beams, columns, and shafts. The methods employed to predict the response of a structure under loading and its susceptibility to various failure modes takes into account the properties of the materials such as its yield strength, ultimate strength, Young's modulus ...

  6. Stress–strain analysis - Wikipedia

    en.wikipedia.org/wiki/Stress–strain_analysis

    Stress–strain analysis (or stress analysis) is an engineering discipline that uses many methods to determine the stresses and strains in materials and structures subjected to forces. In continuum mechanics , stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other ...

  7. Energy principles in structural mechanics - Wikipedia

    en.wikipedia.org/wiki/Energy_principles_in...

    Energy principles in structural mechanics express the relationships between stresses, strains or deformations, displacements, material properties, and external effects in the form of energy or work done by internal and external forces.

  8. Finite element method in structural mechanics - Wikipedia

    en.wikipedia.org/wiki/Finite_element_method_in...

    The finite element method (FEM) is a powerful technique originally developed for numerical solution of complex problems in structural mechanics, and it remains the method of choice for complex systems. In the FEM, the structural system is modeled by a set of appropriate finite elements interconnected at

  9. Structure - Wikipedia

    en.wikipedia.org/wiki/Structure

    Structural elements reflect the requirements of the application: for example, if the system requires a high fault tolerance, then a redundant structure is needed so that if a component fails it has backups. [25] A high redundancy is an essential part of the design of several systems in the Space Shuttle. [26]