05 - Stress Distribution & Settlement Calculations.pdf

# 05 - Stress Distribution & Settlement Calculations.pdf...

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Daniel Rosenbalm, Ph.D., P.E. Geotechnical Services Manager Lecture 5 CEE 452 - Foundations

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Agenda Bearing Capacity Bearing Capacity Equations Terizaghi Vesic Meyerhof Footings near slopes Groundwater Effects Layered Soils Settlement
Bearing Capacity Equations Generally based upon Limiting Equilibrium theory Calculate upper bound for failure load Check all possible mechanisms to find lowest upper bound Define the shape of failure surface Evaluate the stresses and strengths along this surface Usually include empirical factors No rigorous general solution Superimpose solutions for various cases Soil with f and g, but c = D = 0 Soil with f and D but c = g = 0 Soil with f and c but g = D = 0

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Consider a strip footing on cohesive undrained soil Clay with f = 0 Undrained shear strength, s u Let’s assume a circular failure surface Find q u q u = bearing pressure required to cause bearing capacity failure Upper Bound Solution Strip Footing on Cohesive Soil ( f = 0) bB P q ult   general) (In S N q S 3 . 6 q S 2 q 2 B Bb B b S 2 B bB q bB P q 0 2 B Bb r rb S 2 B P M z u c ult z u ult z u ult z 2 u ult ult z u A
Upper Bound Solution Circular failure mechanism: q u = 6.3 s u Without surcharge Must check other failure mechanisms to find lowest value for q u Thorough check yields: Smooth Footing: q u = ( + 2) s u = 5.14 s u Rough Footing: q u = 5.68 s u

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Three methods will be covered: Terzaghi Vesic Meyerhof Estimating Bearing Capacity
Bearing Capacity Equations by Terzaghi base on limiting equilibrium method (1943) Assumptions: D ≤ B Soil is homogeneous (uniform properties) General shear mode occurs s = c’ + tan f No consolidation occurs Rigid foundation Applied load is compressive and centralized (no eccentricity) 2-D problem (continuous foundation)

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