Comparative Analysis of Cantilever Retaining Wall With And Without Column-Beam System

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Comparative Analysis of Cantilever Retaining Wall With And Without
Column-Beam System
Naman Mishra 1, Anubhav Rai 2
1P.G. Student, Department of Civil Engineering, Gyan Ganga Institute of Technology & Science, Jabalpur, MP, India
2Prof & Head, Department of Civil Engineering, Gyan Ganga Institute of Technology & Science, Jabalpur, MP, India,
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Abstract - Retaining Walls are essential in civil engineering
projects, stabilizing soil, preventing erosion, and mitigating
landslides. The successful design and analysis of retaining
walls necessitate a deep understanding of soil mechanics,
structural engineering principles, and the behaviour of
different wall configurations. Among theseconfigurations, the
Cantilever Retaining Wall stands out due to its simplicity and
effectiveness in resisting lateral earth pressures. However,
when dealing with taller retaining walls, incorporating a
column beam system can yield more economical outcomes.
This research aims to comprehensively analyse cantilever
retaining walls with and without a column-beam system. The
research involves manual calculations and analysis using the
STAAD Pro software and Excel spreadsheets for design
optimization. The study strictly adheres to the guidelines
outlined in the Indian Standard IS 456:2000 for reinforced
concrete structures, ensuring compliance with industry
standards. The research undertakes a comprehensive
examination and design of both the Cantilever Retaining Wall
(CRw) and the Column Beam Cantilever Retaining Wall
(CBCRw) for a span of 35 meters and heights ranging from 3
meters to 9 meters, including their respective footings. By
evaluating the construction cost of walls, this study concludes
that CBCRw is more economical than the CRw.
Key Words: Cantilever Retaining Wall, Column-Beam
System, Stability, STAAD Pro, IS 456:2000, CRw, CBCRw
1. INTRODUCTION
A retaining wall serves as a construction element that is
responsible for supporting and restraining soil or other
substances at different elevations. It finds widespread
application in the construction industry, serving to prevent
erosion, control slopes, and create level surfaces on uneven
ground. Retaining walls can be found in a variety of settings,
including residential, commercial, and infrastructure
projects.
The primary objective of a retaining wall is to withstand the
lateral pressure exerted bytheretainedsoil orsubstances.In
the absence of a retaining wall, the natural tendencyofsoilis
to move downward due to the force of gravity. This
movement can result in slope instability, erosion, and
potential damage to nearby structures or areas. By
constructing a retaining wall, the soil is effectively confined
and prevented from sliding or collapsing.
When designing a retaining wall, several factors need to be
considered, including the type of soil being retained, the
height and slope of the wall, drainage conditions, and
anticipated loads and forces acting upon the wall. Engineers
and architects employ principles of structural analysis to
determine the appropriate dimensions, reinforcement, and
construction techniques necessarytoensurethestabilityand
durability of the retaining wall.
Use of retaining walls in basements opens a world of
possibilities for space utilization and expansion. For
Residential, commercial, or institutional purposes, these
walls play a vital role in creating functional, safe, and
attractive below-ground spaces.
1.1. TYPES OF RETAINING WALLS
• Gravity Retaining Wall
• Rely on their weight to withstand soil pressure.
• Constructed using dense materials like concrete or
stone.
• Suitable for retaining moderate heights.
• Not economical for design.
• Semi-gravity Retaining Wall
• Min. reinforcement to be used in the wall to reduce
the size of the wall.
• Cantilever Retaining Walls.
• Made of reinforced concrete & Designed with a base
slab and a vertical stem.
• Relatively economical for design.
• Suitable for retaining moderate to high heights.
• Counterfort / Buttressed Retaining walls.
• Have additional vertical supports called counterforts
on the backside of the wall to help distribute the
lateral forces and provide extra stability.
• Suitable for higher retaining wall heights.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 07 | Jul 2023 www.irjet.net p-ISSN:
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Volume: 10 Issue: 07 | Jul 2023 www.irjet.net p-ISSN: 2395-0072
2. COLUMN-BEAM CANTILEVER RETAINING WALL
In CBCRw, Columns are introduced at the spacing of 3.5 m
and Beams at a 4.5 m span. Both types of walls are analysed
with the help of designed Excel spreadsheets and STAAD Pro
software. The analysis results of the STAAD Pro software for
all the heights were taken individually and compared with
the analysis results of both types of retaining walls. The
STAAD Pro output is then usedintheExcelprogramtodesign
it by the Limit state method. The quantities of Concrete and
Steel were calculated with the help of a designed Excel sheet
and compared the results.
Moment values along the "X" direction are less as compared
to the "Y" direction in CRW's, still minimum steel as per code
is provided based on the cross-sectional area of the wall.
By the introduction of columns & Beam in the stem, the "Mx"
value is increased. Later certain moments are transferred to
the columns.However,Columnsaredesignedandprovidedin
excess as compared to regular cantilever retaining walls still
economy is achieved by saving reinforcement in the stem.
Fig -1: Simple Cantilever Retaining Wall (CRw)
Fig -2: Column Beam Cantilever Retaining Wall (CBCRw)
3. METHODOLOGY
The research methodology integrates manual calculationsof
the cantileverretainingwall,analysisbySTAADProsoftware,
and preparation of Excel design spreadsheets.Byadheringto
the guidelines outlined in IS 456:2000, thisstudycontributes
to an enhanced understanding of efficient designapproaches
for retaining walls.
The length of the wall is taken as 35 m. CRw of height 4.5 m is
manually analyzed by taking all the necessary checks as per
the IS 456:2000 code i.e., overturning check, stability check,
tension & shear check, & check for bearing pressure. and
prepared the designed Excel spreadsheets program.
Analysis of the model: -
The following model is analyzed by the STAAD Pro software.
1. Cantilever Retaining wall, CRw
(Height 3 m, 4.5 m, 6 m, 7.5 m & 9 m)
2. Column BeamCantileverRetainingwall,CBCRw
(Height 3 m, 4.5 m, 6 m, 7.5 m & 9 m)
In CBCRw, Columns are introduced at the spacing of 3.5 m
and Beams at a 4.5 m span. Both types of walls are analysed
with the help of designed Excel spreadsheets and STAAD Pro
software. The analysis results of the STAAD Pro software for
all the heights were taken individually and compared with
the analysis results of both types of retaining walls. The
STAAD Pro output is then usedintheExcelprogramtodesign
it by the Limit state method. The quantities of Concrete and
Steel were calculated with the help of a designed Excel sheet
and compared the results.
Table -1: Data Assumed for model analysis.
Data Assumed for model analysis
The angle of repose (Φ) 30˚
Density of soil (Y) 18 kN/m3
Co-efficient of friction
between concrete and soil (µ)
0.45
Active Earth Pressure (ka) 1/3
Length of wall 35 m
Use M-20 & Fe-415 steel
The backfill is horizontal

Fig -3: Loading on retaining wall.
Table -2: Properties at different heights.
Properties at different height
L=
35m
Stem Foundation Column Beam
Ht.
Thick
(m)
Width
(m)
Thick
(m)
B
(m)
D (m)
B
(m)
D (m)
3.0 0.30 1.80 0.25 0.30 0.45 0.25 0.375
4.5 0.40 2.80 0.30 0.30 0.55 0.35 0.375
6.0 0.45 3.00 0.40 0.30 0.60 0.40 0.375
7.5 0.55 4.50 0.50 0.38 0.70 0.50 0.375
9.0
0.65 5.50 0.75
0.37
5
0.75 0.65 0.375
4. RESULTS AND COMPARISON
Following Fig 4 & 5 shows the variation in themomentalong
the Y direction for CRw and CBCRw type retaining walls for
the height of 9 m.
In CBCRw columns are provided at the span of 3.5 m along
the length and Beam at the span of 4.5 along the height.
Fig -4: Moment Variation in CRw.
Fig -5: Moment Variation in CBCRw.
Table 3 shows the comparisonofmomentalongYdirectionat
different height from 3 m to 9m for both the type of retaining
wall i.e., CRw and CBCRw
Table -3: Max. Stem moment at different heights.
Max. Stem moment at different heights
Length= 35 CRw CBCRw
Height My My
3.0 m 42 KN-m 38 KN-m
4.5 m 136 KN-m 122 KN-m
6.0 m 324 KN-m 291 KN-m
7.5 m 422 KN-m 379 KN-m
9.0 m 671 KN-m 602 KN-m
Table 4 shows the comparison of concrete & steel quantities
for both the type of retaining wall i.e., CRw and CBCRw of
different heights from 3 m to 9m.
 Self-weight of
structure
 Soil Load on Heel =
162 kN/m2
 Trapezoidal Load on
Stem = max at
bottom 53.5 kN/m2,
Min at top 0 kN/m2

Table -4: Comparative Quantities
5. CONCLUSIONS
Based on the study carried out, thefollowingconclusions are
drawn:
The manual results of the bending moment of the retaining
wall with and without column beam have been compared
with STAAD Pro results.
1. Distribution of pressure below the footing (strip type)
varies on the addition of columns.
2. Maximum reduction in the moment along the Y axis is
about 10% by providing a column beam system at 3.5 m
intervals.
3. The overturning moment gets reduced due to the
provision of columns.
4. The steel is reduced by providing a Column Beam system
to the cantilever retaining wall.
5. Increase in column and beam size, decreasingthemoment
in the stem but can be increased up to a certain size taking
the economy factor into account.
6. It is observed that the saving in cost of construction is 10-
15% by the provision of a column Beam over the
conventional cantilever retaining wall. There is abouta 10%
saving on steel.
REFERENCES
[1] Tamadher Abood, Hatem E.Younis Eldawi2-2015
“Design of Cantilever Retaining Wall with 4m Height”
International Journal of Civil and Structural Engineering
Research ISSN 2348-7607 Issue 1.
[2] Sepehr Rezaeimalek4; and A. T. Papagiannakis, Ph.D.,
P.E., F. ASCE5, “Tie back Retaining Wall inHighPlasticity
Expansive Soil”
DOI: 10.1061/(ASCE)CF.1943-5509.0000955. © 2016
ASCE V.
[3] Nandha Kumar and C.R. Suribabu-2018,“Optimal design
of cantilever retaining wall using differential evolution
algorithm.”
[4] Vikram Anand, A Krishnamoorthy-2017, “Analysis on
impact of height criterion on the performance of vee-
type folded plate cantilever retaining wall.”
[5] Kwangkuk Ahn and Hongsig Kang-2015, “Behavior of
Reinforced Retaining Walls with Different
Reinforcement Spacing during Vehicle Collisions”
Department of Civil Engineering, Chungbuk National
University, Cheongju.
[6] S.S Patil, A.A.R.Bagban – 2015, “analysis and design of
reinforced concrete stepped cantilever retaining wall”
IJRET: International Journal of Research in Engineering
and Technology eISSN: 2319-1163 | pISSN: 2321-7308
[7] Mohammed A. Gabr, “Comparisonofthreeretaining wall
condition”
DOI: 10.1061/(ASCE)IS.1943-555X.0000403. © 2017
ASCE.
[8] Himanshu Jiwankar, Niraj Mahule, Rutvik Jichkar,
Vaibhav Dahiwale, Kuldeep Dabhekar, Isha Khedikar
and Rahul Agrawal, “Comparative analysis of cantilever
retaining wall and retaining wall with relieving
platform.”
Doi:10.1088/1755-1315/822/1/012027
[9] IS 456:2000, Indian Standard of plain and reinforced
concrete code of practice.
[10] Bhavikatti S. S. “Advance RCC Design” Volume III
Published by New Age International Publishers.
[11] Punamia B.C., Jain Ashok Kumar, Jain Arun Kumar, “RCC
Designs” Published by Laxmi Publications (P) LTD.
Comparative Quantities
Length=
35
CRw CBCRw
Height
Concrete
(m3)
Steel
(kg)
Concrete
(m3)
Steel (kg)
3.0 m 47.25 2882 48.08 2644
4.5 m 92.40 5636 93.32 5132
6.0 m 136.50 8327 138.81 7635
7.5 m 223.13 13611 227.11 12491
9.0 m 349.13 21297 352.84 19406

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