A trench is to be excavated in a clay soil with y at = 20 kN/m² and s, = 15 kPa. (a) Determine the theoretical maximum depth of the trench without lateral support. (b) It was decided to use a bentonite slurry of unit weight y, to fill the trench as excavation proceeds. Show that the theoretical maximum depth of the trench is H, = unit weight of the soil and s, is the undrained shear strength. (c) How much deeper can the trench be excavated by using a bentonite slurry of y; = 11 kN/m?? - where y a is the saturated Yrat - Yf

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MATLAB

MATLAB software is a registered trademark, multi-model programming language, and numerical computing environmental system created by MathWorks. 'MATLAB' is the short-form of "Matrix Laboratory". The MATLAB software permits the utilization of matrix operations, graphical representation of data, execution of algorithms, development of user interface, and linking programs created in other languages. Even though MATLAB is developed mainly for numerical computing, there is an optional toolbox that uses a symbolic engine known as MuPAD giving access to all the symbolic computing abilities. In addition to this, a Simulink package delivers graphical multi-domain simulation and design that is model-based for embedded and dynamic systems. MATLAB users are spread worldwide across the world and use MATLAB extensively.