Lesson December 5th

Lesson December 5th#

During today’s lesson you’ll work on a complex exercise on the topic of the Failure models. Please ask your questions regarding the homework as well!

Exercise Failure models#

Given is the following structure. It represents the Prinses Amaliabrug, a bicycle bridge near Dordrecht.

../../_images/structure8.svg

  1. Find the relevant cross-sectional properties.

  2. Find the bending- en torsional moment distribution.

  3. Find the shear- and normal forces in cross-section just right of \(\rm{D}\) at point \(\rm{E}\)

  4. Draw the stress state in cross-section just right of \(\rm{D}\) at point \(\rm{E}\) in the principal stress plane including Tresca’s failure criterium for unknown yield stress.

  5. What should be the minimum yield stress according to Tresca?

Solution assignment 1

\(A_m = 3.28 \, \rm{m}^2\)

Solution assignment 2

../../_images/Mline1.svg
../../_images/Mtline.svg

Solution assignment 3

  • \(\sigma_{\rm{E}} = -0.0174 \, \rm{MPa}\)

  • \(\tau_{\rm{E}} = 12.36 \, \rm{MPa}\)

../../_images/stress.svg

Solution assignment 4

../../_images/s1s2.svg

Solution assignment 5

  • \(f_y > 24.7 \, \rm{MPa}\)

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