stress1 - 53:030 Class Notes; C.C. Swan, University of Iowa...

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Period #18: Stresses in the Soil Mass (I) A. Motivation: For the next two class periods, we will discuss how to compute stresses in soils under a variety of loadings. This is a very practical issue, since: a) Consolidation settlements in soils are strongly related to increased stresses from applied loads. b) Shear failure in soils can occur due to applied loads, and as engineers, we need to be able to predict whether or not failure will occur. For example, consider the model figure shown below which simulates a building constructed atop a soil slope. The combined internal stresses in the soil can be sufficiently large to cause shear failure with potentially severe consequences. 1 53:030 Class Notes; C.C. Swan, University of Iowa
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Discussion on stresses in soils will be divided into three parts: 1) Usage of Mohr’s Circle to compute stresses at a point; 2) Usage of Elasticity to compute spatial distributions of stresses from applied loadings; 3) Applications. B. Mohr’s Circle: At a given point A in the soil mass, we are given the state of stresses in two-dimensions with respect to a set of x,y coordinate axes. Meaning of stress components: σ y is the normal stress on a plane having a unit normal in the y-direction; σ x is the normal stress on a plane having a unit normal in the x-direction; τ xy is the y-directed shear stress on a plane having a unit normal in the x-direction; τ yx is the x-directed shear stress on a plane having a unit normal in the y-direction;
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This note was uploaded on 11/10/2010 for the course CIVIL 53:30 taught by Professor Swan during the Fall '09 term at University of Iowa.

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stress1 - 53:030 Class Notes; C.C. Swan, University of Iowa...

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