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Unformatted text preview: 1.033/1.57 Recitation: Stress & Strength October 3, 2003 MIT — 1.033/1.57 Fall 2003 Instructor: Franz-Josef ULM Why Sandcastles Fall? We want to study the stress fields in a dry and a humid sandpile, idealized as an inclined semi-infinite half-space oriented at an angle α to the horizontal (see figure below). We choose an x − z coordinate system, in which z gives the distance from the surface of the pile ( z > down) and x gives the distance parallel to the surface (infinite extension in the y − direction). The sandpile is subjected to its deadweight (volume mass density ρ , and g the earth acceleration vector), and static evolutions are assumed. z x ρ g α Problem Set: Mohr-Coulomb’s problem – idealized problem of a sandpile. October 3, 2003 page 2 1. Dry Sandpile — The Mohr-Coulomb result : We restrict ourselves to solutions which are functions of z alone, i.e., σ = σ ( z ) Furthermore, the sand behavior is assumed isotropic....
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This note was uploaded on 11/29/2011 for the course CIVIL 1.00 taught by Professor Georgekocur during the Spring '05 term at MIT.
- Spring '05