Mechanics of Deformable Solids | Deflection of Beams by Pavan | Learn Smarter
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Deflection of Beams

The chapter addresses the fundamental aspects of beam deflection, detailing key concepts such as the governing equations, methods for calculating deflection, and common loading cases. It emphasizes the importance of measuring deflection for structural integrity and serviceability. Additionally, it introduces specific methods like the Moment Area Method for analyzing complex loading situations.

Sections

  • 1

    Introduction To Beam Deflection

    This section introduces beam deflection, focusing on its significance in structural integrity and the principles governing it.

    Learning Practice

  • 2

    Governing Equation Of The Elastic Curve

    This section introduces the governing equation of the elastic curve for beams, essential for calculating deflections under bending moments using Euler-Bernoulli beam theory.

    Learning Practice

  • 3

    Double Integration Method

    The Double Integration Method is a technique for calculating beam deflections using the Euler-Bernoulli beam theory.

    Learning Practice

  • 3.1

    Common Support Conditions

    This section outlines the typical support conditions for beams, emphasizing their significance in beam deflection calculations.

    Learning Practice

  • 4

    Common Loading Cases (With Known Formulas)

    This section outlines the key loading cases for beams and provides formulas for calculating maximum deflection for common scenarios.

    Learning Practice

  • 5

    Computation Of Slopes And Deflections

    This section focuses on the calculations of slopes and deflections in beams, emphasizing their significance in structural design.

    Learning Practice

  • 6

    Moment Area Method (Myosotis Method)

    The Moment Area Method, also known as the Myosotis Method, enables the calculation of changes in slope and deflection in beams using the areas under the M/EI diagram.

    Learning Practice

  • 6.1

    Theorem I

    This section addresses Theorem I of the Moment Area Method, focusing on the relationship between beam slope changes and the area under the moment diagram.

    Learning Practice

  • 6.2

    Theorem Ii

    Theorem II states that the deflection at a point relative to a tangent at another point is determined by the moment of the area under the M/EI diagram between those points.

    Learning Practice

References

Module III_ Deflection of Beams.pdf

Class Notes

Memorization

What we have learnt

  • Beams subjected to transver...
  • The Euler-Bernoulli beam th...
  • Various methods such as the...

Final Test

Revision Tests