CE 312 SOIL MECHANICS, FALL 2014
Homework 2 Weight-Volume relationships, soil classification
Due: THURSDAY, September 18th, 2014 4:30 pm
NOTE: Submit to CE312 mailbox at the main CEE office (3546 EB). Show all your
calculation steps clearly and write legi
CE 312- SOIL MECHANICS- FALL 2012
Homework 6 - Stresses
SOLUTION
Submit to CE312 mailbox at the main CEE office (3546 EB)
!
NOTE: Show all your calculation steps clearly and write legibly. USE ENGINEERING
PAPER for the hand-calculations.
FIGURE 1
!" Calcu
Name: 17 5
CE 312
Soil Mechanics
Mid-Term Exam 2
Spring 2010
Date: March 4, 2010
Instructor: Dr. M. Emin Kutay, P.E.
This is a closed-book exam. Please read the questions carefully and answer the questions to the
best of your understanding of the subjects
CE 312 SOIL MECHANICS, FALL 2014
Homework 2 Weight-Volume relationships, soil classification
SOLUTION
NOTE: Submit to CE312 mailbox at the main CEE office (3546 EB). Show all your
calculation steps clearly and write legibly. USE ENGINEERING PAPER.
1) If t
CE 312- SOIL MECHANICS- SPRING 2012
Homework 3
Compaction, Permeability
DUE: Friday, February 3rd, 2012 4:00 pm
Submit to CE312 mailbox at the main CEE office (3546 EB)
NOTE: Show all your calculation steps clearly and write legibly. USE ENGINEERING
PAPER
CE312 - Dr. Kutay
17 Lateral Earth Pressure: At-rest, Rankine & Coulomb
Lateral earth pressures (horizontal stresses) are very important for the design of retaining
structures. At any point in a soil media, the effective horizontal stress can be calcul
CE312 -Dr. Kutay
15 Secondary Consolidation Settlement
After completion of the primary consolidation settlement (i.e., dissipation of entire excess
pore water pressure), some settlement may be observed due to plastic adjustment of soil
grains. This stage
CE312 - Dr. Kutay
18 Lateral Earth Pressure 2
18.1 Coulombs Earth Pressure theory
In 1776 Coulomb proposed that a condition of limiting
equilibrium exists such that a soil mass behind a vertical
retaining wall slips along a plane inclined at the angle !
t
Lecture 5: Soil Compaction
- Compaction is the densification of the soil due to removal of air.
Why do we compact soil?
- Improve the shear strength of the soil and therefore its bearing capacity
- Increase soil stiffness and therefore reduce its future s
CE 312
SOIL MECHANICS
SPRING 2012
Homework 1 Grain size distribution and Weight-Volume relationships
DUE Thursday, Janualy 19J 2012 4:00 pm
Submit to CE312 in mailbox at the main CEE office (3546 EB)
NOTE: Show all your calculation steps clearly and wri
Problem 1 solution
Part a /
normal stress 0' 400 kN/m2 l 1 2:10
shear stress at failure n 320 kN/m2 -' 400
cohesion c' 0 for sand /
= 32x"
friction angle 0' 38.7
Part b
normal stress 0' 222 kN/m2
shear stress at failure If 177.6 kN/m2
Area (m2) 0.005625
CE 312- SOIL MECHANICS- SPRING 2012
Homework 2
Volumetrics & Soil Classication
DUE: Thursday, Januagx 26, 2012 4:00 pm
Submit to CE312 mailbox at the main CEE ofce 13546 EBi
NOTE: Show all your calculation steps clearly and write legibly. USE ENGINEERING
SOLUTION
1.
Solution to Problem 3.
function VerifyProb_10_11
% For Pt. 1
z=2; %meters
x1=2; %meters
q1=250; %kN/m
dSigma_1A = dsigma_line(q1, x1,z);
% Backcalculate the q2*
%
% dSigma_AA = dSigma_1A + dSigma_2xA (due to horizontal line load) +
dSigma_2yA
5m 1:? a} "T5
CE 312- Homework 9 Lateral Earth Pressure Retaining Walls
DU A ril 27th 2 4:00 m
Submit to "CE312 in" mailbox at the main CEE ofce 3546 EB
Show all your calculation steps clearly.
1) For the retaining structure shown below, use Rankin
/ Hw SOLUHONS
Pro
51sz 4?
\_ _. The flow net is shown. K = 4 x 10 cm/scc.
H=H1H2
= 6.0 1.5 = 4.5m.
So
_ 4x104 4.5x4
'q_[ 102 I 8 j
= 9x104 mlm/sec
= 77.76x10i mInudapp
8.5 The ow net is shown.
hpetmcable layer . 10 m
Scale
5.
N ~
q = = (0:322 x60x
CE312 -Dr. Kutay
19 INTRODUCTION TO SLOPE STABILITY
19.1 Infinite Slope Analysis
Aslope that extends relatively long distance and has a consistent subsoil profile may be
analyzed as infinite slope. Sliding is assumed to occur along a plane parallel to the
CE312 -Dr. Kutay
14 Consolidation
Consolidation is the time-dependent settlement of fine-grained soils (Clayey soils)
resulting from the expulsion of water from the soil pores
14.1 THE CONCEPT OF TIME DEPENDENT CONSOLIDATION
The concept of time dependent
CE312 Dr. Kutay
16 Shear Strength of Soils
- Shear strength is the resistance that soil offers when sheared or when shearing forces are
applied to it.
- Loading increases shear strength.
- Shear strength of a soil is not constant. It is a function of
CE312 - Dr.Kutay
7
Hydraulic conductivity contd.
Example 1
The graduated cylinder shown in the figure
collects 892 ml of water in 112 seconds.
Diameter of the soil sample is 18 cm,
The elevation of the upper reservoir is
181 cm
The elevation of the lower
CE 312 FALL 2014 Homework 5
DUE: Tuesday, October 28th, 2014, 4:30 pm
Submit to CE312 mailbox at the main CEE office (3546 EB)
NOTE: Show all your calculation steps clearly and write legibly. USE ENGINEERING PAPER.
1) Calculate the total stress, pore wate
CE312-Dr. Kutay
11 Mohr Circle Directional Stresses
Normal and shear stresses on a plane
1
CE312-Dr. Kutay
=
=
[11.1]
Similar derivation can be accomplished for the shear stress on an arbitrary plane:
[11.2]
Major and Minor principal stresses
It can be sh
CE-312 Soil Mechanics: Dr. Kutay
2
Origins of Soils and Grain Size
Origin of soil: Soil is a product of Rock Weathering.
Rock weathering: The process of breaking down rocks by mechanical and chemical
processes into smaller pieces.
- Freeze/thaw cycles cau
CE-312 Soil Mechanics: Dr. Kutay
4 Relative Density (Dr), Liquid Limit (LL), Plastic Limit
(PL) and Plasticity Index (PI)
4.1 Relative Density (Dr)
Relative density is a special weight-volume parameter used in sandy and gravelly soils. It
represents the r
CE312-Dr. Kutay
8 Seepage
=!h
1
CE312-Dr. Kutay
Equipotential Line: A line along which the total heads at all points are equal.
Flow line: A line along which a water particle will travel from upstream to the
downstream.
A combination of flow lines and equ
CE-312 Soil Mechanics: Dr. Kutay
3 Weight-Volume Relationships
Objectives:
! Be able to convert volume to mass and vice-versa in soils.
! Be familiar with the different phases in a soil mass and their significance to
construction.
3.1 Phase Diagram
Phase
CE312-Dr. Kutay
12 Induced Stresses
12.1 Stresses due to a point load
Boussinesq (1883) came up with
the solution of stresses in a soil
mass caused by a point load for a
homogeneous, elastic and
isotropic medium. Vertical and
two horizontal induced stress
CE312 - Dr. Kutay
13 Compressibility (Settlement) of Soils
Immediate (Elastic) settlement Caused by elastic deformation of dry and moist
soil without any change in moisture content
Primary Consolidation Settlement Volume change caused by expulsion of wate
CE312-Dr. Kutay
9. Stresses in Soil Mass
Stresses in a soil mass:
Total (normal) stress: Total load divided by the unit area perpendicular to the load.
Hydrostatic stress (or pore water pressure): Normal stress due to water pressure acting
perpendicular t