What Did You Do Last Week:

Hi folks! It has been another short week for me. I used the last of my award and compensatory leave to take Monday off to recover from a busy weekend. I'm really glad I had that foresight, as work was busier than I had expected. I'm going to try a slightly different format this week, and provide the more detail context for each bullet immediately below it. Project names are redacted to ensure privacy.

Let's discuss that item about Hoek-Brown and Mohr-Coulomb failure criterion. Folks in the engineering geology and geotechnical engineer field are likely familiar with these terms, but I recognize that a large number of my readers are not specialists. That's said, if you aren't interested in learning about a rather niche topic in geo-engineering, you can skip the rest of this post.

Most retaining wall design relies on the Mohr-Coulomb failure criterion, which relates the shear strength of a soil to the stress on the sliding surface. The Mohr-Coulomb criterion is typically expressed as a friction angle(φ) and a cohesion (c). The friction angle is the slope of the failure envelope and the cohesion is the shear stress intercept (see figure below).

An example Mohr-Coulomb plot An example Mohr-Coulomb plot, from Hestroffer et al. (2019)

The Hoek-Brown failure criterion is a similar theory, but is applied to rock masses, and uses the Geological Strength Index to define the failure envelope. Notably, the Hoek-Brown criterion is curved, rather than linear (see figure below).

An example Hoek-Brown plot An example Hoek-Brown plot from Wu (2015)

With the brief background explained, let's talk about the why. For one of my projects, we are planning to build a retaining wall on mixed foundation characteristics: some on soil and some on rock. In a global stability analysis, where I check the overall stability of the ground the wall is constructed on, I used a combination of Mohr-Coulomb properties for the soil and Hoek-Brown properties for the rock. However, the retaining wall design software that I use to design the wall itself can only accept Mohr-Coulomb properties. Therefore, I was looking for a way to do my analysis, but keep the material properties consistent through these various analyses. Fortunately, Evert Hoek published a short technical note that provided the equations I needed (Hoek, 1990). I spent a few minutes coding the equations, then updating my analysis in the wall design software.

This type of work is extremely satisfying to me. Having a challenge with conventional analysis, doing some research, finding a solution, and applying it.

Next week, I'm looking forward to some a bit more focus time to work on the design of my active projects, as well as a few short webinars. I'm also likely to be spending some time finalizing a drilling plan and providing technical support for projects in construction.

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