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Soil Retention Elements
IMPORTANT: PLEASE READ THIS TEXT CAREFULLY
The information contained within this document is the property of CYPE Ingenieros, S.A. and cannot be reproduced nor transfered in its entirety or partially in any
way or means, whether it is mechanically or electronically, for any purpose, without the previous written authorization of CYPE Ingenieros, S.A. The infraction of
property rights can constitute a felony charge.
This document and the information within are an integral part of the documentation that accompanies the License for Use of the CYPE Ingenieros, S.A. software
programs, and from which they are inseparable. Consequently, it is held to the same conditions and responsibilities.
Do not forget that you must read, understand and accept the License for Use Contract of the software that this documentation is part of, before beginning the use of
any component of this product. If you do NOT accept the terms of the License for Use Contract, return the softwa
re and all the elements that accompany it to the
place where it was purchased to obtain a full refund.
This Manual corresponds to the version of the software denominated by CYPE Ingenieros, S.A. as Soil Retention Elements (Embedded Retaining Walls). The information contained within this document describes the characteristics and methods for the use of the program or programs that accompany it. The information
within this document may have been modified after the mechanical edition of this book without prior notice. The software that accompanies this document may
have been modified without prior notice.
CYPE Ingenieros S.A. has other services available, such as program Updates, that will allow you to get the latest versions of the software and the corresponding documentation. If you have any questions regarding this text, the License for Use Contract of the software, or other inquiries, please contact your Local Authorized
Dealer or CYPE Ingenieros S.A. at: www.cype.com
© CYPE Ingenie
ros S.A. (Registered in the European Community)
Edited and printed in Alicante (Spain)
Windows© is the registered trademark of Microsoft Corporation©
CYPE
Embedded Retaining Walls
Table of Contents
1. Calculations ....................................................................... 7
2.1.2.1.
2.1.2.2.
2.1.2.3.
2.1.2.4.
1.1. Analysis Model ..................................................................... 7
1.2. Lateral Pressures ................................................................. 7
Building .................................................................
Adjacent property .................................................
Soil .........................................................................
Information ............................................................
15
15
15
16
1.2.1.Seismic Analysis ............................................................ 9
2.2. Work mode .........................................................................
16
1.3. Reinforcement Code Checks ............................................. 9
2.3. Program menus ................................................................. 16
1.3.1. Check for combined flexure and axial load .............. 10
2.3.1. F1 Key ......................................................................... 16
1.3.2. Check for shear .......................................................... 10
2.3.2. Question mark icon .................................................... 16
1.3.3. Check for the horizontal stiffeners ............................ 10
2.3.3. Quick Guide ................................................................ 17
1.3.4. Check for the vertical stiffeners ................................. 10
2.4. Assistant ............................................................................. 17
1.4. Design of the reinforcement ............................................. 10
2.5. Reports .............................................................
.................. 17
1.4.1. Design of the vertical reinforcement ......................... 10
2.6. Plans .................................................................................. 17
1.4.2. Design of the horizontal reinforcement .................... 10
1.4.3. Design of the stiffeners .............................................. 10
3. Earth pressure calculations ............................................ 18
1.5. Design of secant pile walls ............................................... 11
3.1. Introduction ....................................................................... 19
1.6. Design of sheet pile walls ................................................. 11
3.2. Static earth pressure ......................................................... 19
1.6.1. Stress with slenderness factor .................................. 11
3.2.1. Calculation of the active pressure ............................ 19
1.6.2. Stress with top of wall load eccentricity .................
.. 11
3.2.2. Calculation of the passive pressure .......................... 20
1.6.3. Slenderness ................................................................ 11
3.2.3. Calculation of the ‘at rest’ pressure .......................... 20
3.2.4. Pressure from loads situated on the ground ............
3.2.4.1. Pressures produced by a uniformly
distributed load ...................................................................
3.2.4.2. Pressures produced by a band load
parallel to the top of the wall .............................................
3.2.4.3. Pressures produced by a line load
parallel to the top of the wall .............................................
3.2.4.4. Pressures produced by a point or
concentrated load in reduced areas (footings) ................
3.2.4.5. Pressures from the ‘top of wall’ loads .................
1.7. Design of Mini pile walls .................................................... 11
2. Program Description .................................
...................... 12
2.1. Assistants ........................................................................... 12
2.1.1. Assistant 1. Reinforced concrete slurry wall
for buildings ...........................................................................
2.1.1.1. General data .........................................................
2.1.1.2. Soil .........................................................................
2.1.1.3. Intermediate stages of excavation ......................
2.1.1.4. Floor slabs (construction phases) .......................
2.1.1.5. Service phase (finished job) ................................
13
13
13
13
14
14
20
20
21
21
21
22
3.3. Dynamic earth pressure .................................................... 22
3.3.1. Calculation of the active pressure ............................ 22
3.3.1.1. Coefficient of active pressure in dynamic
conditions ........................................................................... 22
2.1.2. Assistant 2. Reinfo
rced concrete slurry walls
for buildings of one or two basements ................................ 14
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Soil Retention Elements
3.3.1.2. Wall-soil friction angle ..........................................
3.3.1.3. Specific weight .....................................................
3.3.1.4. Pressure from groundwater .................................
3.3.1.5. Effects of the loads and surcharge
in the exterior ......................................................................
23
23
23
23
3.3.2. Calculation of the passive pressure .......................... 23
3.3.2.1. Specific weight ..................................................... 23
4. Questions and Answers ................................................. 24
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Embedded Retaining Walls
Soil Retention Elements
Embedded Retaining Walls
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Soil Retention Elements
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Embedded Retaining Walls
1. Calculations
Very Important
1.1. Analysis Model
Be aware that the program analyzes the embedded reta
ining walls as structural elements subjected to the lateral
pressures of the different soils and exterior loads applied
to them.
The analysis model employed consists of a vertical bar
whose mechanical properties are obtained by transverse
linear foot of wall. On this wall acts: the soil, in the exterior
as well as the interior, the loads on the ground, the lateral
support elements such as struts, active anchors, passive
anchors, or construction elements like floor slabs, and the
loads applied at the top of the wall.
Geotechnical calculations, such as the determination of
the end bearing resistance, frictional resistance, groundwater flow, etc., are not carried out and they must be the subject of an accompanying study based on the Geotechnical
report. The same applies for elements like braces or struts,
type of anchor, its diameter, anchorage length, etc., which
also require a separate study.
The introduction of lateral support elements such as
struts, active anchors and passive anch
ors, establish
exterior conditions on the wall, which are modelled as
springs with the same stiffness as the axial stiffness of the
element.
When a rock layer is introduced, the program considers
the wall fixed if it is embedded into the layer for a length
equal to or greater than two times the wall thickness. Between 8 in. and two times the thickness, the wall is considered to be simply supported by such layer, that is, rotation
is allowed but displacement is restrained.
The discretization of the wall is carried out every 10 in.,
obtaining the soil behavior diagram at each point. Furthermore, the model also includes the points at which the
lateral supports act.
1.2. Lateral Pressures
The lateral pressures that the soil exerts on the wall
depend on the wall’s movement. To take this interaction
into account, the program makes use of soil behavior
diagrams like the one shown in the following figure:
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Soil Retention Elements
mally, if a geotechnical study has been carried
out, it must
provide the exact value of this modulus for the dimensions
that the wall will have.
These Subgrade Moduli come to represent the stiffness of
the soil at a given point, and may differ according to the direction of the displacement.
In addition, since the stiffness of the soil tends to increase
with depth, a linear variation may be considered, known as
the Gradient Subgrade Modulus, which the user introduces
as the increment of the modulus per foot of depth.
In this diagram, the soil is considered to behave plastically,
in a way that between one phase and the next, the diagram
is updated. The figure below shows this concept, where
δpre is the displacement of the previous phase:
Fig. 1.1
The critical points in the graph, ea, ep, and eo, are the
known active, passive, and at rest pressures, respectively.
The active and passive displacement limits are represented
by δa and δp. These displacements are obtained through
the active and passive Subgrade Moduli introduced by the
user.
The program calculates the coefficients of earth pressure
based on the following formulations:
- At rest earth pressure: Jaky formulation
- Active earth pressure: Coulomb formulation
Fig. 1.2
- Passive earth pressure: Rankine formulation
To obtain information on the calculation of these pressures,
consult the Earth pressure calculations in section 3.
The values for the Subgrade Modulus, like any geotechnical
parameter, are difficult to estimate. In the program, some
guiding values are given for several types of soils, but it is
recommended that specialized literature and empirical data
from soil tests be consulted for more accurate values. Nor-
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If the wall continues to displace to the right, a point is obtained which moves on the load branch; while if its displacement changes direction, the pressure will vary along
the unloading branch, which passes through the initial point.
At the points where the soil exists on both the exterior and
the interior, the behavior diagram
employed is obtained by
adding the corresponding diagrams at that depth on either
side of the wall.
Embedded Retaining Walls
1.3. Reinforcement Code Checks
The procedure for checking the Code provisions applicable to the reinforcement is as follows: first, the geometric
and strength criteria are verified for the horizontal and vertical reinforcement. Then, the stiffeners are checked.
Geometric criteria include concrete cover, spacing limits,
and minimum and maximum reinforcement ratios. Strength
criteria follow the requirements for shear, combined bending and axial force, mechanical reinforcement ratios, and
lap splice lengths. For more information, please see the
Code checks report notes and the corresponding articles
in the Code.
Fig. 1.3
For the strength checks, the program establishes sections
to verify every foot. In each one of the sections, the design
forces are obtained based on the results of each phase
and according to the following cases:
1.2.1.Seismic Analysis
Seismi
c action makes the pressures on the wall increase
periodically.
- C1: Axial, shear, and bending moment, multiplied by
the load factor.
The active pressure in seismic conditions is greater than
the corresponding one for the static situation.
- C2: Shear and bending moment, multiplied by the load
factor, with no axial force.
Similarly, the passive pressure that the wall can exert on the
soil may be reduced considerably during seismic events.
For the checks of ultimate limit states, the program applies
the load factor introduced by the user, which is a function of
whether the phase is a construction or service phase.
To evaluate these pressures, a pseudo-static method has
been employed with the coefficients of dynamic pressures
based on the Mononobe-Okabe equations. For more information, please consult the Earth pressure calculations
in section 3.
The forces are always calculated by panel and the Code
checks are carried out with respect to the resistant (effective) area of such pan
el, as indicated in the following figure.
In the results of each construction phase, two graphs are
shown: the first without seismic action and the second with
seismic action.
Likewise, in the force reports, the results for anchorage elements, etc., both cases appear.
Fig. 1.4
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Soil Retention Elements
The next sections expand on some of the critical checks as
well as those that the program verifies in addition to the
Code requirements.
1.3.1. Check for combined flexure and axial load
distributed along the whole height of the wall, and the spacing is equal to or less than 8 ft.
These criteria have been extracted from the NTE (Spanish
Technological Standards for Buildings), Soil Preparation,
Foundations.
The check for section strength (design strength) is carried
out using as a constitutive law the stress-strain diagram
with the simplified rectangle compression block. With this
principle, the program can also differentiate zones of
cracked concrete sections, due to comb
ined forces, from
uncracked sections.
1.3.4. Check for the vertical stiffeners
The combined flexure and axial load check is implemented
for all the Codes that the program allows for with their own
peculiarities with respect to compatibility formulations and
strains permitted for the materials that make up the section
(steel and concrete).
1.4. Design of the reinforcement
When the check is carried out, the program makes sure
that the reinforcement is anchored properly to be able to
consider them in the combined forces calculation.
1.3.2. Check for shear
The check for this ultimate limit state is carried out, as with
the combined flexure and axial load case, at different
heights of the wall. Since the wall has no transverse reinforcement, only the contribution of the concrete is considered for resisting shear forces.
The contribution of the concrete against shear is taken from
the term Vc, which is obtained from the simple empirical formula stipulated by the Code. This term is a fun
ction of the
concrete strength and the width and effective depth of the
section.
1.3.3. Check for the horizontal stiffeners
The program verifies that: the diameter of the stiffener is at
least equal to the base reinforcement, they are uniformly
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The same checks as for the horizontal stiffeners apply, but
the spacing of the vertical stiffeners must be equal to or
less than 5 ft.
1.4.1. Design of the vertical reinforcement
From the total entries in the reinforcement table, the most
economic of all the ones that comply with the Code requirements for strength, reinforcement ratios, spacing, etc.,
is selected. The base reinforcement, in addition to adhering
to the spacing and minimum ratio criteria, must cover at
least 50% of the zones where the maximum moment occurs. In those regions where the base reinforcement does
not pass the checks, strengthening bars are provided.
In the cases where the bar lengths are greater than those introduced by the user, the required lap splices are gen
erated.
1.4.2. Design of the horizontal reinforcement
From all the entries in the reinforcement table, the program
selects the most economical from those that meet the spacing and quantity criteria described previously in section 1.3.
1.4.3. Design of the stiffeners
The diameter of the stiffener bar, vertical as well as horizontal, must be equal to or greater than the largest diameter
Embedded Retaining Walls
product of the axial load at the top of the wall and the maximum eccentricity produced by the deformation of the wall.
used in either the exterior or interior face. A number of bars
are provided so that the spacing of the horizontal stiffeners
is at most 8 ft., and 5 ft. for the vertical stiffeners.
1.6.3. Slenderness
1.5. Design of secant pile walls
The slenderness must not be greater than the value recommended by the Code when the element is subject to compression forces.
The design of reinforced concrete secant pile walls follows
the same procedure as for slurry walls
. All the reinforcement Code Checks listed in section 1.3 apply except for
stiffeners which are not used in this type of walls.
1.7. Design of Mini pile walls
Mini pile walls are cylindrical elements, drilled on site, reinforced with steel tubing and filled with grout or cement mortar, and whose diameters do not usually surpass 12 in. The
user must define the exterior diameter or the excavation diameter, and the program selects the cylindrical steel tube
from those defined in the library. The design of the Mini pile
follows from combined flexure and axial loads. For the calculation of the concrete section in ultimate limit states, the
program uses the strain compatibility method, with the corresponding concrete and steel stress-strain diagrams. Beginning with the section chosen for the job, all the sections
in the series are checked in sequence. A minimum or accidental eccentricity is considered, as well as the buckling eccentricity based on the Code, limiting the value of the
mechani
cal slenderness, also as indicated by the Code.
1.6. Design of sheet pile walls
Once a series and a profile within the series have been chosen, the design may proceed. In the case that the profile
does not meet the strength requirements, the program
places the next section in the series and analyzes the wall
again, since the stresses also change when the profile
changes. Next, the check is run once more, and if the new
section does not pass either, then the process is repeated.
The checks made on this type of wall are the following:
1.6.1. Stress with slenderness factor
Von Misses stress calculated from the normal stress (a
function of the axial force, effective length due to the slenderness, bending moment, and the section modulus) and
the tangent stress (a function of the shear force and the resisting shear area).
The effective length considered is the clear distance in each
phase, taking into account that the embedded portion is
fixed, or the distance between points of zero momen
t
(when there are floor slabs, struts, etc., that produce inflection points in the bending moment diagram).
1.6.2. Stress with top of wall load eccentricity
The maximum size of the circular tube is limited to the
diameter of the Mini pile.
In this case, rather than multiplying the axial force by the effective length factor as in the previous situation, the program considers the additional moment calculated from the
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Soil Retention Elements
2. Program Description
Fig. 2.1
2.1. Assistants
When creating a new job, the Assistant Selection dialogue will open.
Fig. 2.2
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Embedded Retaining Walls
2.1.1.1. General data
If you create a new job with an Assistant, the program generates the data necessary to describe it, depending on the
type of Assistant selected, using a minimum number of parameters introduced in sequence. It includes the generation
of the construction process and the pre-dimensioning of
the geometry of a reinforced concrete slurry wall - excavated b
y phases with successive bracing (temporary or permanent). A wall that supports the various floors at the
different heights while considering the possibility of having
adjacent structures. It will also generate the final service
stage in which the wall is able to support the load of a building. Any data generated can be reviewed and/or modified
after the job has been created.
One must indicate the total depth of the excavation.
The pre-dimensioning of the wall thickness is H/20 (where
H is the excavation depth), with a minimum of 18 in. and a
maximum of 42 in. Rounding occurs to values of 18, 24, 32,
and 42.
Fig. 2.3
2.1.1.2. Soil
The total height of the wall varies between 2H and 1.4H, depending on whether the excavation is braced or not. A value within that range is chosen based on the number of
excavation phases. If rock exists at a shallower depth, the
wall will be embedded 4 in. into the layer; this is the minimum value to consider the wall simply supported at that
point.
Th
ere is the possibility of introducing ground water, rock,
and a surcharge on the ground in the exterior. In addition,
one must configure the different soil layers found.
To understand the approximations made, read the help windows for every dialogue of the Assistant.
There are two types of Assistants:
2.1.1. Assistant 1. Reinforced concrete
slurry wall for buildings
Fig. 2.4
Assistant for the generation of walls of various levels. Data
entry dialogues appear successively and their options contain on-screen help through the question mark icon. Note
that when an “elevation” is called for, one must introduce a
negative sign since the program takes the ground surface
as elevation 0'-0".
2.1.1.3. Intermediate stages of excavation
One must define the number of excavation stages in which
anchors are placed, and for each, the elevation and type of
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Soil Retention Elements
anchor (strut, permanent or provisional active anchor, permanent or provisional passive anchor). T
he anchor has its
own elevation.
For each excavation stage, the Assistant generates 2 phases. The first is the excavation of the ground, and the second
is the placement of the anchorage. The elevations of the excavation stages cannot be greater than the value of the total
excavation depth indicated in the first window of the Assistant, General data. If, for example, the total depth of the excavation is 30 ft. and its excavation stages are of 10ft., only
two stages need to be defined: the first, at the elevation
-10 ft., and the second at -20 ft. The program automatically
generates the last excavation stage without an anchorage
phase.
Fig. 2.6
2.1.1.5. Service phase (finished job)
One may introduce the loads at the top of the wall, if any,
and the service phase shears that the basement floors
transfer to the wall.
Fig. 2.5
2.1.1.4. Floor slabs (construction phases)
This is the list of floors and foundation (if this exerts an anchorage type effect), indicating their top elevation, de
he anchor has its
own elevation.
For each excavation stage, the Assistant generates 2 phases. The first is the excavation of the ground, and the second
is the placement of the anchorage. The elevations of the excavation stages cannot be greater than the value of the total
excavation depth indicated in the first window of the Assistant, General data. If, for example, the total depth of the excavation is 30 ft. and its excavation stages are of 10ft., only
two stages need to be defined: the first, at the elevation
-10 ft., and the second at -20 ft. The program automatically
generates the last excavation stage without an anchorage
phase.
Fig. 2.6
2.1.1.5. Service phase (finished job)
One may introduce the loads at the top of the wall, if any,
and the service phase shears that the basement floors
transfer to the wall.
Fig. 2.5
2.1.1.4. Floor slabs (construction phases)
This is the list of floors and foundation (if this exerts an anchorage type effect), indicating their top elevation, de
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