… using equilibrium

… using equilibrium#

… for self-contained structures#

../../_images/self-contained.svg

The support reactions of a self-contained structure (a structure that, isolated from its supports, retains its shape) can be found by replacing the supports by their support reactions and solving the problem using equilibrium. The full procedure is shown in chapter 5.1 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006).

Exercises#

  • If you’re a TU Delft student, you can practise with the following ANS exercises

  • Exercises in chapter 5.8 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006), answers are available on this website: 5.1 - 5.15 (ignore graphical solutions)

… for hinged structures#

../../_images/hinged.svg

In a statically determinate structure, there are generally more than 3 support reactions. To find all of these, it is required to include equilibrium of hinged parts of the structure as well. For these parts it is known that the bending moment is \(0\) at the location of the hinge, which allows you to solve an additional support reaction. Similarly as before, the forces can be solved using equilibrium. The full procedure is shown in chapter 5.2 and 5.3 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006).

Exercises#

  • If you’re a TU Delft student, you can practise with the following ANS exercises

  • Exercises in chapter 5.8 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006), answers are available on this website: 5.16 - 5.19 and 5.32 - 5.37 (ignore forces in bars and graphical solutions)

… for strengthened structures#

../../_images/strengthened.svg

In a strengthened structure, the support reactions have to be found by investigating the strengthening system consisting of zero-force members separately. Similarly as before, the forces can be solved using equilibrium. The full procedure is shown in chapter 5.7 of the book Engineering Mechanics Volume 1 (Hartsuijker and Welleman, 2006).

Exercises#

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