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ISSN 0974-5904, Volume 07, No. 04
August 2014, P.P.650-654
#SPL02070422 Copyright ©2014 CAFET-INNOVA TECHNICAL SOCIETY. All rights reserved.
Proceedings of 3-Day International Conference on Emerging Trends in Civil Engineering (ICETE-2014,)
6th–8th January, 2014
Dynamic Analysis of RCC Cantilever Retaining Wall with Different
Parameters
P. R. JAGTAP
1
, S. M. PORE
1
AND VIPUL PRAKASH
2
1
Department of Civil Engineering, Dr. Babasaheb Ambedkar Technological University Lonere, Dist- Raigad-
402103, Maharashtra, India
2
Department of Civil Engineering, IIT Roorkee-247667, India
Email: prjagtap26@gmail.com, struct_engg@yahoo.co.in, spvpgp@gmail.com
Abstract: For the safe and economic design of retaining structures, correct estimation of earth pressure on retaining
surfaces is very important. Due to analysis complexities, this problem has drawn attention of researchers from last
few decades. Even under static conditions this is one of the most critical and complex problems of soil mechanics and
geotechnical engineering. Dynamic loading conditions make the problem further complicated. In this paper, a method
is studied to obtain the natural time period of a retaining wall both for active and passive earth pressure condition and
the dynamic analysis of such a wall is carried out. Time period of RCC cantilever retaining wall is found out from
derived natural time period formula. Shear force and bending moment at the base of retaining wall is obtained with
the help of time period and parameters such as height of wall and unit weight of retained soil. Parametric study shows
that these are most influencing parameters affecting behaviour of retaining wall.
Keywords: Retaining wall, time period, earth pressure, shear force, bending moment.
1. Introduction:
Most important consideration in proper design and
installation of retaining walls is that the retained material
is attempting to move forward and down slope due to
gravity. This creates lateral earth pressure behind the
wall which depends on the angle of internal friction (phi)
and the cohesive strength (c) of the retained material, as
well as the direction and magnitude of movement the
retaining structure undergoes. Present state-of-the-art for
the analysis and design of retaining walls under
earthquake loading is based on the method proposed by
Mononobe and Matsuo (1929) [8] and Okabe (1926) [9]
(M-O analysis). Also the Indian Code of Practice, IS-
1893 [6] suggests the use of α
h
and α
v
based on seismic
coefficient to any time-period calculation, which could
again make the analysis far too conservative. As IS-1893
does not provide any rational method for calculation of
natural period of the retaining wall, seismic analysis for
such system is still based on what one can term as a
pseudo static analysis. Many analysis have come up for
the solution of such problems based on Finite Element
Method. The basic lacuna in most of these analyses is
that the earth pressure is generated under incipient
failure of the soil medium.
In this paper, a method is studied to obtain the natural
time period of a retaining wall quite accurately and to
carry out a dynamic analysis of such wall based on
modal response technique. The parametric study of
natural period of retaining wall is carried out by varying
the different parameter like height, unit weight of soil,
angle of internal friction of soil, thickness of wall and
grade of concrete. The dynamic shear force and bending
moment are derived based on modal response technique
by lumped mass system and the same is compared with
the static shear force and bending moment of retaining
wall.
2. Analytical Work
For the safe and economic design of retaining
structures, correct estimation of earth pressure on
retaining is very important to civil engineers. Due to its
complexity in analysis, this problem has drawn the
attention of researchers through the decades. Even under
static conditions this is one of the most critical and
complex problems of soil mechanics and geotechnical
engineering. So, under dynamic condition and under
seismic loading, the problem is no doubt challenging.
Among the theories available till date for the estimation
of seismic earth pressure, the Mononobe–Okabe (1929,
1926) method, which is the pioneering work in this field,
is commonly used.
2.1. M-O Analysis
The total forces on the wall under active as well as
passive earth pressure conditions are as per [8] and [9]