International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 08 | Aug 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1015
DEVELOPING OF AN EQUIVALENT RECTANUGLAR COLUMN FOR AN
L-SHAPED RC COLUMN HAVING SIMILAR ULTIMATE LOAD MOMENT
CHARACTERISTICS
Ms. Kavyashree
1
, Mr. Subrahmanya R.M
2
, Mr. Shanmukha Sheety
3
, Dr.B.G Naresh Kumar
4
,
Ms. Ramya K
5
1
M.Tech Student, Department of Civil Engineering, Sahyadri College of Engineering & Management, India.
2
Assistant Professor, Department of Civil Engineering, Vivekananda College of Engineering & Technology, India.
3
Assistant Professor, Department of Civil Engineering, NITTAE, India.
4
Professor & Principal, Maharaja Institute of Technology, India.
5
Assistant Professor, Department of Civil Engineering, Sahyadri College of Engineering & Management, India.
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Abstract - The structural characteristics of rectangular and
circular columns can be easily analysed because the axis of
centre of gravity lies within the section of the columns,
whereas the centroidal axis lies outside the section in case of L
shaped columns. Due to this, the section characteristics of L
sections vary when compared to the other type of normal
sections i.e.; rectangular and circular columns. Therefore this
work deals with the study and analysis of strength parameters
and nature of L section with respect to the rectangular
column. This is a work on L column, as there is a lack of
adequate codal provisions of this type of columns. In this
project the behaviour of L shaped Columns are interpreted in
the form of Interaction Diagrams. In this work an attempt is
made to obtain interaction curve for symmetrical L-shaped
column and compare with that of equivalent rectangular
column of different B/D ratio.
Key Words: Xu , Pu, Mu, NA, Interaction curve.
1. INTRODUCTION
Columns are important elements which support the
structures. They are the compression members and their
failure may cause damage to the whole building. A column
located in the building corner. In recent days irregular
shaped columns are providing at the building corners and at
enclosure of elevator shafts. The column may be of the
shapes rectangular, circular, square, L shaped, T (tee) shaped
etc. The size and cross section of the column depends on
structure, height of the building and the loads acting on the
structural member. The main aim of providing column is to
resist against axial compression(P) and bending
moments(M
x
M
y
).These load and moment develop due to
external loads, such as dead load, live load, and lateral forces
resulting from wind load and seismic action and by
unbalanced moments at connecting beams, vertical
misalignments. IS code (IS 456-2000) and design aid (SP-16)
follows the strength criteria as a support for designing
reinforced concrete columns wherein the failure is defined
when it comes to a limiting strain and stress in concrete and
the reinforcement. An interaction diagram may be plot for
any column including given specifications such as grade,
percentage of steel, reinforcement detailing pattern,
dimension and shape of column by evaluating strain at
various locations within the column considered, there by
evaluating stress that return provides load and moment
values, such numerous values of ultimate load and moment
resisting capacity could be evaluated at different locations
once the set of ultimate load and moment resistance values
are obtained it could be graphically represented as an
interaction diagram where load moment envelop serves as
a failure curve implying that any combination of load and
moment that falls within the envelop is safe and the load-
moment combination that falls on the curve as the maximum
load-moment resisting capacity of the section. Therefore
interaction diagrams are one of the importance factor in
design of columns.
2. INTERACTION DIAGRAM
Interaction diagram shown in fig-1 is a graph illustrating the
capacity of a structural concrete member to resist a range of
combinations of moment and axial force. The interaction
diagram of the columns is drawn with a view to determine if
the maximum axial load and moment exceeds the strength of
the column. By changing the location of the neutral axis,
giving different size of compressive and tension zones, each
case will lead to a different capacity calculated from the
strain distribution. Each point on the curve show design
strength values of P
u
and M
u
linked to a specific eccentricity
of loading wherein;
P
u
: ultimate load carrying capacity of concrete.
M
u
: ultimate moment carrying capacity of concrete.