# 300Solved Problems Soil Rock Mechanics

And Foundations Engineering

**Table of Contents Table of Contents… i Chapter 1 Soil Exploration… 1 Symbols for Soil Exploration… 1 *Exploration 01. Find the required number of borings and their depth…. *Exploration 0. The sample s disturbance due to the boring diameter…. *Exploration 0. Correcting the SPT for depth and sampling method *Exploration 04. Three methods used for SPT depth corrections… 6 *Exploration 05. SPT corrections under a mat foundation *Exploration 06. The Shear Vane Test determines the in-situ cohesion… 9 *Exploration 07. Reading a soil boring log *Exploration 08: Using a boring log to predict soil engineering parameters **Exploration 09. Find the shear strength of a soil from the CPT Report Chapter Phase Relations of Soil Symbols for Phase Relations of soils Basic Concepts and Formulas for the Phases of Soils *Phases of soils-01: Convert from metric units to SI and US units *Phases of soils 0: Compaction checked via the voids ratio…. *Phases of soils 0: Value of the moisture when fully saturated…. *Phases of soils 04: Finding the wrong data *Phases of soils 05: Increasing the saturation of a soil *Phases of soils 06: Find γ d, n, S and W w *Phases of soils 07: Use the block diagram to find the degree of saturation *Phases of soils 08: Same as Prob-07 but setting the total volume V=1 m *Phases of soils 09: Same as Problem #5 with a block diagram… 9 *Phases of soils 10: Block diagram for a saturated soil *Phases of soils 11: Find the weight of water needed for saturation *Phases of soils 1: Identify the wrong piece of data…. *Phases of soils 1: The apparent cheapest soil is not!… *Phases of soils 14: Number of truck loads *Phases of soils 15: How many truck loads are needed for a project?… 5 *Phases of soils 16: Choose the cheapest fill supplier i**

**3 *Phases of soils 17: Use a matrix to the find the missing data… 8 **Phases of soils 18: Find the voids ratio of muck (a highly organic soil) Chapter Classification of Soils and Rocks Symbols for Classification of soils *Classify 01: Percentage of each of the four grain sizes (G, S, M & C)… 4 *Classify 0: Coefficients of uniformity and curvature of granular soils *Classify-0: Classify two soils using the USCS *Classify-04: Manufacturing a new soil Classify Classify Classify Classify Classify Classify Classify Chapter 4 Compaction and Soil Improvement Symbols for Compaction *Compaction 01: Find the optimum moisture content (OMC) *Compaction 0: Find maximum dry unit weight in SI units *Compaction-0: What is the saturation S at the OMC? *Compaction-04: Number of truck loads required *Compaction-05: What is the saturation S at the OMC?… 6 *Compaction-06: Definition of the relative compaction (RC)… 6 *Compaction-07: The relative compaction (RC) of a soil *Compaction-08: Converting volumes from borrow pits and truck loads **Compaction-09: Ranges of water and fill required for a road **Compaction-10: Find the family of saturation curves for compaction **Compaction-11: Water needed to reach maximum density in the field **Compaction-1: Fill volumes and truck load requirements for a levee **Compaction-1: Multiple choice compaction problem of a levee Chapter 5 Permeability of Soils Symbols for Permeability *Permeability 01: Types of permeability tests and common units ii**

**4 *Permeability-0: Use of Hazen s formula to estimate the k of an aquifer *Permeability-0: Flow in a sand layer from a canal to a river *Permeability-04: Find the equivalent horizontal permeability of two layers *Permeability-05: Equivalent vertical and horizontal permeabilities *Permeability-06: Ratio of horizontal to vertical permeabilities *Permeability 07: Do not confuse a horizontal with a vertical permeability *Permeability-08: Permeability as a function of the voids ratio e *Permeability 09: Uplift pressures from vertical flows *Permeability-10: Capillary rise in tubes of differing diameters *Permeability-11: Rise of the water table due to capillarity saturation *Permeability-1: Find the capillary rise h c in a silt stratum using Hazen *Permeability-1: Back-hoe trench test to estimate the field permeability… 9 **Permeability-14: Seepage loss from an impounding pond… 9 Chapter 6 Seepage and Flow-nets Symbols for Seepage and Flow-nets *Flownets-01: Correcting flawed flow-nets *Flow-nets-0: A flow-net beneath a dam with a partial cutoff wall *Flow-nets-0: The velocity of the flow at any point under a dam *Flow-nets-04: Flow through an earth levee *Flow-nets-05: Finding the total, static and dynamic heads in a dam **Flow nets-06: Hydraulic gradient profile within an earth levee **Flow-net-07: Flow into a cofferdam and pump size *Flow-nets-08: Drainage of deep excavations for buildings *Flow-nets-09: Dewatering a construction site *Flow-net-10: Dewatering in layered strata **Flownets-11: Flow through the clay core of an earth dam Chapter 7 Effective Stresses and Pore Water Pressure Symbols for Effective Stresses and Pore Water Pressure *Effective Stress 01: The concept of buoyancy *Effective Stress 0: The concept of effective stress *Effective Stress 0: The concept of effective stress with multiple strata Effective Stress-0B Chapter 8 Dams and Levees… 1 iii**

**5 Symbols for Dams and Levees… 1 *Dams-01: Find the uplift pressure under a small concrete levee… 1 *Dams-0: Determine the uplift forces acting upon a concrete dam Chapter 9 Stresses in Soil Masses Symbols for Stresses in Soil Masses *Mohr-01: Simple transformation from principal to general stress state *Mohr 0: Find the principal stresses and their orientation *Mohr 0: Find the principal stresses and their orientation *Mohr 04:… 1 *Mohr 05: Normal and shear stress at a chosen plane **Mohr 07: Back figure the failure angle *Mohr 08: find the Principle pressure using Mohr *Mohr 09: Relation between θ and φ *Mohr 10: *Mohr 11: *Mohr 1: *Mohr 1: Data from Mohr-Coulomb failure envelope **Mohr 14: *Mohr 15: Derive the general formula for horizontal stress *Newmark 01: Stress beneath a tank at different depths *Newmark-0: The stress below the center of the edge of a footing *Newmark-0: Stress at a point distant from the loaded footing *Newmark-04: Stresses coming from complex shaped foundations *Newmark-05: Stress beneath a circular oil tank **Newmark-06: Use Newmark with a settlement problem *Stress 01: Stress increase at a point from several surface point loads *Stress-0: Find the stress under a rectangular footing *Stress-0: The effect of the WT on the stress below a rectangular footing *Stress 04: Finding the stress outside the footing area *Stress-05: Stress below a footing at different points *Stress-06: Stress increase from a surcharge load of limited width *Stress-07: Finding a stress increase from a surface load of limited width **Stress-08: Stress increase as a function of depth iv**

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