JoSEM (2017) 1-8 © STM Journals 2017. All Rights Reserved Page 1
Journal of Structural Engineering and Management
ISSN: 2393-8773 (Online)
Volume 4, Issue 1
www.stmjournals.com
Effect of Partial Fixity on Negative Bending Moments in
RCC Frames
Amit Kumar Gorai*, Lalit Kumar Sharma, P. Pal, P.K. Mehta
Department of Civil Engineering, Motilal Nehru National Institute of Technology, Allahabad, Uttar
Pradesh, India
Abstract
This paper presents the variation of bending moments in the RCC frames structure for
different ratios of moment of inertia of the column and the beam (I
C
/I
B
). In this study, three
different cases of frames structure are considered e.g. the first case is single bay single storey
to single bay five storied frames structure, the second case is two bays single storey to two
bays five storied frames structure and the third case is three bays single storey to three bays
five storied frames structure. The investigation is mainly focused on the variation of negative
moments at the beam ends at the first floor of i
th
storey frame structure with the variations of
I
C
/I
B
ratio, number of stories and number of bays in the frames structure. STAAD Pro software
is used to model and analyse the considered frames structure. The obtained results are
presented in tabular form to observe the effects of I
C
/I
B
ratios at the joints in each floor of five
storied frames structure. Results are also compared with the analytical one and found to be
satisfactory. Few interesting results observed in the analysis of three different cases of frames
structure are presented herein. Investigated results on RCC frames structure may be useful to
the engineers and designers.
Keywords: Frames structure, stiffness method, rotation contribution method, negative bending
moments, inertia ratio
*Author for Correspondence E-mail: amit.gorai.50@gmail.com
INTRODUCTION
Portal frames used in several civil engineering
structures like buildings, factories, bridges
have the primary purpose of transferring the
loads applied at their tops to their foundations.
Structural requirements usually necessitate the
use of statically indeterminate layout for portal
frames, and approximate solutions are often
used in their analyses.
The most pressing point for future research on
the subject of slab, beam and columns has
undoubtedly raised the question of the degree
of imperfection in practical fixed ends; in
short, what value of K (fixity percentage)
should be assumed for such ends. A complete
answer to this question is difficult, but at
present the designer has no real data
whatsoever regarding practical end conditions.
While a satisfactory answer to the above
question remains the challenge. Design
conventions have emerged which are usually
conservative and which can be applied with
confidence to orthodox types of attachment.
For example, Zienkiewicz and
Cheung extended the finite element study to
the problem of bending of slab [1]. Bhaskar
described a study on experimental and finite
element modelling of composite deck slabs
with and without embossments [2]. In the
composite slabs, mechanical interlocking in
the form of embossments or shear connectors,
were used to transfer shear between the outer
skin of the plate and the concrete core. Deaton
developed a procedure to design reinforced
concrete flat plate systems based on the results
of finite element analysis [3]. Sharma and
Kwatra presented their work by developing the
model for skew bridges with any degree of
skew angle and aspect ratio [4]. Barbosa and
Ribeiro considered the practical application of
nonlinear models in the analysis of reinforced
concrete structures and the results of some
analyses were performed using the reinforced
concrete model considering general purpose
finite element code [5]. César and Barros
studied the non-linear P-∆ behaviour of three-
dimensional frames with plan and elevation
asymmetries using a parametric variation of