Determinación de la envolvente de falla por cizallamiento en macizos rocosos aplicando el criterio de Hoek y Brown

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In this work, an analytic expression has been developed that enables the shear strength to be determined using the empirical failure criterion developed by Hoek and Brown. Applying this new hypotesis, along with elasticity theory and basic mathematical concepts for obtaining the failure envelope of a family of failure circles, the shear strenght has been determined to be such that Ts= f sa,sc , m,s where sa the normal stress on the discontinuity,sc the uniaxial compressive strenght of the in tact rock and the parameter the m and s are constant dependent upon the properties of the rock. An expression of this type will help us develop new methods of analysis of slope stability and support of galleries, design of anchor support systems in rock masses, estimation of the skin friction of poor quality rock in driven pile foundations, as well as in other innumerable related areas of geotechnology.

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