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7932 results in Fluid dynamics and solid mechanics

Page 34 of 397

  • 18 - How Many Collapse Mechanisms?

  • from Part VI - Deliberately Deformed
  • Keith Alexander Seffen, University of Cambridge
  • Book:
    Solving Problems of Simple Structural Mechanics
    Published online:
    06 January 2022
    Print publication:
    20 January 2022, pp 149-160

  • Summary

    Synthesising different collapse mechanisms for indeterminate beams and frames is considered via the prospect of their salient bending moments (without solving for their exact values) as candidate positions for the formation of plastic hinges. The method of Instantaneous Centre is introduced for calculating the relative motion of sub-structures within frames, including those with pitched roofs under distributed loading.

  • 19 - When Buckling Occurs: And not

  • from Part VI - Deliberately Deformed
  • Keith Alexander Seffen, University of Cambridge
  • Book:
    Solving Problems of Simple Structural Mechanics
    Published online:
    06 January 2022
    Print publication:
    20 January 2022, pp 161-167

  • Summary

    Perfect buckling of an axial rod occurs at the Euler load, which cannot be achieved in practice because of the presence of straightness imperfections. The governing mathematical behaviour is very similar in both cases but with starkly different outcomes. Matters are revised here for the case of an axial load applied eccentrically, which aims to highlight the role of different end loadings, rather than just geometrical imperfections, in the context of buckling.

  • 14 - Cross-Sectional Stiffness

  • from Part V - Design Choices
  • Keith Alexander Seffen, University of Cambridge
  • Book:
    Solving Problems of Simple Structural Mechanics
    Published online:
    06 January 2022
    Print publication:
    20 January 2022, pp 111-122

  • Summary

    Analytical shortcuts are introduced for calculating the sectional properties of thin-walled beams for stiffness in bending and in torsion. The performance of a simply-supported beam is then introduced in the context of its optimal stiffness, where deflections are minimised relative to the weight of the beam using a dimensional analysis approach.

  • 1 - Mastering Friction

  • from Part I - Simple Structures
  • Keith Alexander Seffen, University of Cambridge
  • Book:
    Solving Problems of Simple Structural Mechanics
    Published online:
    06 January 2022
    Print publication:
    20 January 2022, pp 3-13
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  • Summary

    Solution of problems with friction are tackled graphically, by assuming slippage is present from the outset. Quasi-statical equilibrium therefore imposes a fixed inclination of frictional force components for reduced working and, thus, a graphical solution.

Page 34 of 397