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International Journal of Engineering Research and Development
e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com
Volume 9, Issue 7 (January 2014), PP. 50-54

The Effect of Aggregate Size on Energy Dissipation of Plain
Concrete Members Subjected To Static Cyclic Loading
Sanusi A. EL-Azhari1, Mahmud M. Akkari2, Mohamed F. Suleiman3
1, 2

professor, Dept. of Civil Engineering, University of Tripoli, Tripoli, Libya,
Assistant Lecture, Dep. Of Civil Engineering, University of Tripoli, Tripoli, Libya

3

Abstract:- When concrete structures are subjected to cyclic loading they tend dissipate the generated energy.
The performance of concrete structures is widely measured by the concept of energy dissipation, which usually
expressed as non – dimensional ratio defined as the energy dissipated per cycle to the total input energy, this
paper presents an experimental works were conducted to investigate the effect of aggregate size and type of
applied loads ( constant or gradually ) on energy dissipation. The results showed that , the smaller aggregate size
gave the lesser in energy dissipation, and also when the load is applied gradually increase in each cycle gave
less energy dissipation than when the load is applied as constant for all cycles.
Keywords:- Energy Dissipation, Cyclic Load, Aggregate Size.

I.

INTRODUCTION

Factors which affect the durability of concrete are numerous. Some of these relate to concrete mix
component, others relate to the type of loads, climate, curing ,methods and conditions, and some are influenced
by method of construction, and relate workmanship. For a given set of raw material strength of concrete is the
most influenced factor on durability of the concrete and is governed to a large extent by the water-cement ratio
(w/c), and the requirement of water for concrete mix design is strongly influenced by the source and
characteristics of the aggregates. Several authors investigated the effect of aggregate on strength of concrete
Abbasi etal [1] studied the influence of each component of concrete mix on strength of concrete by using the
reduced factorial experimental technique and they reached to a general empirical equations can which be used in
mix concrete design. Walken and etal [2] studied the effect of aggregate size on properties of concrete. Walken
and etal [3] also studied the effect of maximum size of aggregate on strength of concrete. In the past there have
been a few investigations on the energy dissipation properties of plain concrete elements. Jordan [4] studied the
effect of the mix proportioning on energy dissipation, and he concluded that, if a mix is weaken it will show a
higher value of energy dissipation than the strong mix. Flesch [5] carries out a study to determine tensile effect
on energy dissipation for reinforced concrete members.
MATERIALS:

The material used in this study are ordinary Portland cement, coarse aggregates, these materials were
widely used as local aggregates for construction and the mechanical and physical properties of these used
aggregates are given by suliman [6]

II.

SCHEME OF TESTS

The experimental work in paper is divided two stages as shown in fig (1). In the first stage a total of 36
concrete mixes are prepared with various factors of water cement ratio, coarse aggregate to total aggregate and
total aggregate to cement. The main objectives of the first stage as presented by Elazhari and etal [7] in details
were to develop the empirical relationships between concrete mix components and compressive strength,
modulus of rupture and energy dissipation, the high strength, and suitable workability will be investigated in the
second stage, to determine the effect of the aggregate size on energy dissipation as out lined in fig (2) and as
follow: Eighteen concrete cubes ( 150 x 150 x 150 mm ) and eighteen concrete beams (150 x 150 x 750 mm )
were prepared from optimum concrete mix result ( w/c = 0.5, CA/TA = 0.67, TA/C=5 ) which has been reach by
[7].

50
The Effect of Aggregate Size on Energy Dissipation of Plain Concrete Members…

51
The Effect of Aggregate Size on Energy Dissipation of Plain Concrete Members…
III.

METHODS OF MEASURING THE ENERGY

DISSIPATION RATIO:
Energy dissipation was calculated by means of the specific energy dissipation ratio [9], Rn defined as
the ratio of the strain energy loss per cycle to the total strain energy of the specimen for that cycle. Or,

U
Rn 
U

Where U is the energy, which is transformed into heat, or internal strain energy, and U is the

total strain energy. The value of Rn can be determined directly by measuring the area in closed by the loaddeflection loop of the specimen under cycle loading to the total area as indicated in fig (3).

TEST PROCEDURE:
In order to study the effect of aggregate size on the energy dissipation, concrete cubes and concrete
beams, were prepared from concrete mix as (W/C=0.5, CA/TA=0.67, TA/C=5 ). The concrete cubes and beams
with different aggregates size (3/8’’, 1/2’’, and 3/4'’ ) were casted in standard curing laboratory room condition
and demolded after (24hr.) The cubes were tested for compressive strength ( in order to find fr to be used in
tests ) and the beams were tested for cycle loading test, during the testing of concrete beams, the propagation
growth of microcracks were measured by using the ultrasonic pulse velocity test. Two types of tests were
conducted on the concrete specimen as shown in fig (4), the first type was a constant upper limit of cycle
loading ( in this case the load was taken as a constant load which equals to 75 % of flexure load ), and the
second type of applied load is an increasing cycle loading, in which the load was increased gradually in each
cycle up to 75 % of flexural load in each case of loading, deflection was measured by using dial gage and
growth of the propagation of cracks was measured by using ultrasonic method.

IV.

TEST RESULT SAND DISCUSSION

The Effect of Aggregate Sizes on Energy
Dissipation:

52
The Effect of Aggregate Size on Energy Dissipation of Plain Concrete Members…
Figure (5) shows the relation between the energy dissipation ratio and the number of cycle for different
size of coarse aggregate from this curve one can notes that the aggregate size 3/8’’ has less energy dissipation,
and aggregate size 3/4'’ has more energy dissipation, this because of size 3/8’’ has a large number of particles
and hence the voids between particles are less and therefore the internal friction between these particles are less,
this leads to less energy dissipation.

Number of Cycles
Fig.(5) Energy Dissipation versus number of cycles
Crack Propagation:
Figure (6) and figure (7) represent the curve for ultrasonic pulse velocity versus number of cycle for
constant and gradually applied load respectively, from these figures one can conclude that the bigger size of
coarse aggregate, the larger cracks for both types of applied loads.

Permanent Deflection: During the static test, and when load ( constant or gradually ) is increase the deflection
at mid-span was measured, which leads to the concrete strain or deformation increase after each cycle as shown
in fig (8) to fig (10). It is clear from these curves that the measured permanent deflection for constant load more
than that for the gradual load for three types of aggregate sizes. The reason behind that is during the gradual
load, micro cracks will be growth slowly, because the load is tends to be more static load than dynamic one.

53
The Effect of Aggregate Size on Energy Dissipation of Plain Concrete Members…

Number of Cycles

V.

CONCLUSIONS

Based on the test results obtained from this experimental study, it can be concluded that: The increase
in aggregate size shows increase in energy dissipation, and also for all aggregate sizes the ultrasonic pulse
velocity in concrete increases with gradually applied cycle load and decreases with constant applied cyclic
loading and also the permanent deflection for constant cycle loading applied is greater than the permanent
deflection generated by gradually applied load, for all types aggregate sizes.

REFERENCES
[1].
[2].
[3].
[4].
[5].
[6].
[7].

Abbsi, F. Munir Ahmed, and Mohammad Wasim “ optimization of concrete mix proportioning using
reduced factorial experimental technique “ ACI materials journal PP 55 - 62 , 1987
Walker, Stauton “ the effect of aggregate size on properties of concrete “ ACI journal (57-13) PP-264296 , 1960
Walker, Stauton “ Relationship of concrete strength to maximum size of aggregate “ proceedings,
Highway research board vol. 38 pp. 368 – 379, 1977
Jordan, R.w “ The effect of curing, mix and age upon the damping of concrete “ Magazine of concrete
reach vol. 32 No 113 pp – 195 – 2001 December 1987
Flesch, R. “ The damping behavior of reinforced concrete element “ International Association for
Concrete Engineering report vol. 34, pp 83-98, 1981
Suliman, F. M. “ experimental investigation of energy dissipation properties of plain concrete members
“ MS. Thesis in civil Eng. Alfateh university 2004 Tripoli, Libya.
Elazhari, s. , Akkari, M. Suliman, M. “The optimum mixed design “ local conference 2006 Misrata –
Libya

54

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International Journal of Engineering Research and Development

  • 1. International Journal of Engineering Research and Development e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com Volume 9, Issue 7 (January 2014), PP. 50-54 The Effect of Aggregate Size on Energy Dissipation of Plain Concrete Members Subjected To Static Cyclic Loading Sanusi A. EL-Azhari1, Mahmud M. Akkari2, Mohamed F. Suleiman3 1, 2 professor, Dept. of Civil Engineering, University of Tripoli, Tripoli, Libya, Assistant Lecture, Dep. Of Civil Engineering, University of Tripoli, Tripoli, Libya 3 Abstract:- When concrete structures are subjected to cyclic loading they tend dissipate the generated energy. The performance of concrete structures is widely measured by the concept of energy dissipation, which usually expressed as non – dimensional ratio defined as the energy dissipated per cycle to the total input energy, this paper presents an experimental works were conducted to investigate the effect of aggregate size and type of applied loads ( constant or gradually ) on energy dissipation. The results showed that , the smaller aggregate size gave the lesser in energy dissipation, and also when the load is applied gradually increase in each cycle gave less energy dissipation than when the load is applied as constant for all cycles. Keywords:- Energy Dissipation, Cyclic Load, Aggregate Size. I. INTRODUCTION Factors which affect the durability of concrete are numerous. Some of these relate to concrete mix component, others relate to the type of loads, climate, curing ,methods and conditions, and some are influenced by method of construction, and relate workmanship. For a given set of raw material strength of concrete is the most influenced factor on durability of the concrete and is governed to a large extent by the water-cement ratio (w/c), and the requirement of water for concrete mix design is strongly influenced by the source and characteristics of the aggregates. Several authors investigated the effect of aggregate on strength of concrete Abbasi etal [1] studied the influence of each component of concrete mix on strength of concrete by using the reduced factorial experimental technique and they reached to a general empirical equations can which be used in mix concrete design. Walken and etal [2] studied the effect of aggregate size on properties of concrete. Walken and etal [3] also studied the effect of maximum size of aggregate on strength of concrete. In the past there have been a few investigations on the energy dissipation properties of plain concrete elements. Jordan [4] studied the effect of the mix proportioning on energy dissipation, and he concluded that, if a mix is weaken it will show a higher value of energy dissipation than the strong mix. Flesch [5] carries out a study to determine tensile effect on energy dissipation for reinforced concrete members. MATERIALS: The material used in this study are ordinary Portland cement, coarse aggregates, these materials were widely used as local aggregates for construction and the mechanical and physical properties of these used aggregates are given by suliman [6] II. SCHEME OF TESTS The experimental work in paper is divided two stages as shown in fig (1). In the first stage a total of 36 concrete mixes are prepared with various factors of water cement ratio, coarse aggregate to total aggregate and total aggregate to cement. The main objectives of the first stage as presented by Elazhari and etal [7] in details were to develop the empirical relationships between concrete mix components and compressive strength, modulus of rupture and energy dissipation, the high strength, and suitable workability will be investigated in the second stage, to determine the effect of the aggregate size on energy dissipation as out lined in fig (2) and as follow: Eighteen concrete cubes ( 150 x 150 x 150 mm ) and eighteen concrete beams (150 x 150 x 750 mm ) were prepared from optimum concrete mix result ( w/c = 0.5, CA/TA = 0.67, TA/C=5 ) which has been reach by [7]. 50
  • 2. The Effect of Aggregate Size on Energy Dissipation of Plain Concrete Members… 51
  • 3. The Effect of Aggregate Size on Energy Dissipation of Plain Concrete Members… III. METHODS OF MEASURING THE ENERGY DISSIPATION RATIO: Energy dissipation was calculated by means of the specific energy dissipation ratio [9], Rn defined as the ratio of the strain energy loss per cycle to the total strain energy of the specimen for that cycle. Or, U Rn  U Where U is the energy, which is transformed into heat, or internal strain energy, and U is the total strain energy. The value of Rn can be determined directly by measuring the area in closed by the loaddeflection loop of the specimen under cycle loading to the total area as indicated in fig (3). TEST PROCEDURE: In order to study the effect of aggregate size on the energy dissipation, concrete cubes and concrete beams, were prepared from concrete mix as (W/C=0.5, CA/TA=0.67, TA/C=5 ). The concrete cubes and beams with different aggregates size (3/8’’, 1/2’’, and 3/4'’ ) were casted in standard curing laboratory room condition and demolded after (24hr.) The cubes were tested for compressive strength ( in order to find fr to be used in tests ) and the beams were tested for cycle loading test, during the testing of concrete beams, the propagation growth of microcracks were measured by using the ultrasonic pulse velocity test. Two types of tests were conducted on the concrete specimen as shown in fig (4), the first type was a constant upper limit of cycle loading ( in this case the load was taken as a constant load which equals to 75 % of flexure load ), and the second type of applied load is an increasing cycle loading, in which the load was increased gradually in each cycle up to 75 % of flexural load in each case of loading, deflection was measured by using dial gage and growth of the propagation of cracks was measured by using ultrasonic method. IV. TEST RESULT SAND DISCUSSION The Effect of Aggregate Sizes on Energy Dissipation: 52
  • 4. The Effect of Aggregate Size on Energy Dissipation of Plain Concrete Members… Figure (5) shows the relation between the energy dissipation ratio and the number of cycle for different size of coarse aggregate from this curve one can notes that the aggregate size 3/8’’ has less energy dissipation, and aggregate size 3/4'’ has more energy dissipation, this because of size 3/8’’ has a large number of particles and hence the voids between particles are less and therefore the internal friction between these particles are less, this leads to less energy dissipation. Number of Cycles Fig.(5) Energy Dissipation versus number of cycles Crack Propagation: Figure (6) and figure (7) represent the curve for ultrasonic pulse velocity versus number of cycle for constant and gradually applied load respectively, from these figures one can conclude that the bigger size of coarse aggregate, the larger cracks for both types of applied loads. Permanent Deflection: During the static test, and when load ( constant or gradually ) is increase the deflection at mid-span was measured, which leads to the concrete strain or deformation increase after each cycle as shown in fig (8) to fig (10). It is clear from these curves that the measured permanent deflection for constant load more than that for the gradual load for three types of aggregate sizes. The reason behind that is during the gradual load, micro cracks will be growth slowly, because the load is tends to be more static load than dynamic one. 53
  • 5. The Effect of Aggregate Size on Energy Dissipation of Plain Concrete Members… Number of Cycles V. CONCLUSIONS Based on the test results obtained from this experimental study, it can be concluded that: The increase in aggregate size shows increase in energy dissipation, and also for all aggregate sizes the ultrasonic pulse velocity in concrete increases with gradually applied cycle load and decreases with constant applied cyclic loading and also the permanent deflection for constant cycle loading applied is greater than the permanent deflection generated by gradually applied load, for all types aggregate sizes. REFERENCES [1]. [2]. [3]. [4]. [5]. [6]. [7]. Abbsi, F. Munir Ahmed, and Mohammad Wasim “ optimization of concrete mix proportioning using reduced factorial experimental technique “ ACI materials journal PP 55 - 62 , 1987 Walker, Stauton “ the effect of aggregate size on properties of concrete “ ACI journal (57-13) PP-264296 , 1960 Walker, Stauton “ Relationship of concrete strength to maximum size of aggregate “ proceedings, Highway research board vol. 38 pp. 368 – 379, 1977 Jordan, R.w “ The effect of curing, mix and age upon the damping of concrete “ Magazine of concrete reach vol. 32 No 113 pp – 195 – 2001 December 1987 Flesch, R. “ The damping behavior of reinforced concrete element “ International Association for Concrete Engineering report vol. 34, pp 83-98, 1981 Suliman, F. M. “ experimental investigation of energy dissipation properties of plain concrete members “ MS. Thesis in civil Eng. Alfateh university 2004 Tripoli, Libya. Elazhari, s. , Akkari, M. Suliman, M. “The optimum mixed design “ local conference 2006 Misrata – Libya 54