Pdf effect of sedimentary and metamorphic aggregate on. Effect of stress on the dynamic modulus of concrete. The shape of stressstrain curve affects the static modulus of elasticity of concrete e c, but not the dynamic modulus e d hence the ratio of e c and e d is not fixed. In this study the static modulus for a large variety of aggregates and concrete strengths was analyzed and an empirical formula was. Modulus of elasticity approximations from aci 318 building code the modulus of elasticity of concrete is a function of the modulus of each constituent cementitious matrix, lightweight and normal density aggregates and their relative proportions in the mixture. The relationships are basically empirical but an attempt is made to allow for density and for strengths in tension and in compression. The elastisitymodulus or emodulus is a property of a material like concrete or steel whichs tells how much tension is needed to make it a little bit longer or shorter when you pull at 2 ends of a steal beam itll be a bit longer then when you press it together.
Determination of modulus of elasticity of concrete from. Lflong 1 moestr is the modulus of elasticity determined by this method. Relation between static and dynamic modulus of elasticity. Reasonable correlations are found between the elastic modulus and the compressive strength or concrete density. Jan 22, 2017 elastic modulus of concrete is tested by using 150 mm x 300 mm cylinder specimens in accordance with. Based on the number of measurement was derived expression of dependence of modulus of elasticity on compressive strength of concrete which was determined using cubic specimens. Measure load and the corresponding deformation as the load is increased. Jan 15, 20 the modulus of elasticity of concrete increases with increase in the modulus of aggregate used in its manufacture. Pdf modulus of elasticity of low strength concrete. Most design standards and studies propose empirical relations relying on compressive strength and concrete density to compute the modulus of elasticity of normalweight concrete 42. Study on estimation of compressive strength of concrete in.
Standard test method for static modulus of elasticity and. Fip manual of lightweight aggregate concrete, 2nd edition. Pauw, static modulus of elasticity of concrete as affected by density, aci journal proceedings, vol. Astm c 469 static modulus of elasticity and poissons ratio of concrete in compression. Elastic modulus of concrete is tested by using 150 mm x 300 mm cylinder specimens in accordance with. The strength of concrete is dependent on the relative proportion and modulus of elasticity of the aggregate.
As expected for a system not containing coarse aggregates, the static modulus of elasticity of foamed concrete is lower than that of normal concrete of equal density and is in the range of 8000 mpa for dry densities between 500 and 1500 kgm 3 british cement association, 1994. Modulus of elasticity of concrete can be defined as the slope of the line drawn from stress of zero to a compressive stress of 0. The formula is in excellent agreement with recognized empirical formulas for normal weight concrete. Assessment of elastic modulus of concrete and its influence. What are the factors affecting young modulus of elasticity. Relation between static and dynamic modulus of elasticity of wood. Three hundred 150 by 300 mm concrete cylinders were prepared from three different mixtures with target compressive. In turkey, many existing reinforced concrete buildings are in urgent need of seismic retrofitting. Taking into account the increasing use of highstrength concrete as a structural material in colombia, this paper shows the results of research carried out to investigate the effect of different types of coarse aggregate on the static elastic modulus, the compressive strength, the concrete density, and the pulse velocity. The porous concretes using cement mortar as binder are prepared with the percentage of target voids of 10, 15, 20.
Effect of stress on the dynamic modulus of concrete d. Experimental studies were conducted on the static youngs modulus of normal. Static and dynamic elastic moduli of calcare massiccio mudstonelimestone, the typical seismogenic rock in the italian apennines, are measured using a standard uniaxial static compression test, a dual cantilever forced oscillation test and ultrasonic measurement of elastic wave velocities. In addition the entire static modulus venus strength relationship for each concrete can be predicted from early age up to 3 days measurements of dynamic modulus and compressive strength. Youngs modulus can be either calculated from the sonic and density logs dynamic youngs modulus, or measured directly in the laboratory static youngs modulus. Elastic modulus and compressive strength for masonry samples test bricks mortar elastic modulus nmm. The dynamic modulus of elasticity can be determined from equation 3 for the longitudinal dynamic test method ldtm and from equation 4 for the. The strength and deformability of lwac seems to be little affected by the.
The static and the dynamic modulus of elasticity of. Studied concrete mixtures present commonly used concrete of all established. The behavior of these parameters is similar to that found previously in the modulus of elasticity density. In this study the static modulus for a large variety of aggregates and concrete strengths was analyzed and an empirical formula was derived which is applicable to both lightweight and normal weight structural concretes. The dynamic modulus is usually significantly higher than the static moduli as originally noted by zisman 1933 and idle 1936.
Normal weight concrete density 2400 kgm3 for computing loads. E t 2 this qualitative observation can be attributed of tercelj et. Pdf modulus of elasticity of low strength concrete researchgate. Linger, associate professor of civil engineering, university of arizona this paper presents the results of a preliminary investigation of the effect of stress intensity on the modulus of elasticity of concrete. Modulus of elasticity for concrete determined from an experimental stressstrain relation curve, as described above, is generally termed as static modulus of elasticity ec whereas the modulus of elasticity determined through the longitudinal vibration test is termed as dynamic modulus of elasticity ed. Influence of the type of measuring device in determining. The elastic behavior of the concrete is estimated from its strength or determined by static or dynamic tests. Evaluating the dynamic elastic modulus of concrete using. Effect of sedimentary and metamorphic aggregate on static modulus of elasticity of highstrength concrete. This calculation evaluates the applicability of the elastic modulus equation provided. The porous concretes using cement mortar as binder are prepared with the percentage of target voids of 10, 15, 20, 25 and 30%, watercement ratios of 22. The present aci approach for youngs modulus is based on normal strength concrete. Founded in 1904 and headquartered in farmington hills, michigan, usa, the american concrete institute is a leading authority and resource worldwide for the development, dissemination, and adoption of its consensusbased standards, technical resources, educational programs, and proven expertise for individuals and organizations involved in concrete design. Static modulus of elasticity probability density functions.
Method for determination of compressive strength using. Modulus of elasticity of concrete concrete technology. Differences between static and dynamic elastic moduli of a. When a stress wave of velocity v is induced in a bar of density. Determination of compressive strength of repair mortar bs 1881119. Evaluation of static and dynamic residual mechanical. For an existing structure static modulus of elasticity of concrete cannot be determined but dynamic modulus of elasticity can be determined by using non destructive testing ndt method. Present paper deals with the experimental investigation of static modulus of elasticity of hardened concrete and its relation to compressive strength of concrete.
The modulus of elasticity of concrete is a fundamental parameter in analysis and design of reinforced. Strain dial gauge readinggauge length dll stress loadcross sectional area pa use compressometer and extensometer to measure. The youngs modulus observed is compared with the value used by aci318 aci. Though, you would probably be best to find the equivalent in your national code. It is defined as ratio of normal stress to longitudinal strain within th. Pdf in turkey, many existing reinforced concrete buildings are in urgent need of seismic. The relationship between the compressive strength, static modulus of elasticity and dynamic modulus of elasticity of porous concretes is discussed. To assess the dynamic modulus of elasticity in the interior where the effect of drying is minimal, the density of the core specimens that were not affected by drying an age of 3 days for the slab specimen and an age of 7 days for the wall specimen and the ultrasonic velocity measured using the proposed method were used for calculating the. The modulus of elasticity can be defined as a relation between the applied stress and the measured strain below yield stress.
Static modulus of elasticity of concrete as affected by density. Modulus of elasticity, ec mpa modulus of rupture, fr mpa class c 28 25 400 3. Determination of modulus of elasticity of concrete testing of cube or cylinder in uniaxial compression test. Cm is very difficult to predict because the properties of cm is affected by the. Particularly, emodulus and shape of aggregate and cement paste. The average measured static modulus of elasticity are found less than the predicted static modulus of elasticity and splitting tensile strength aci 3182008 and aci 2r2003. Pdf modulus of elasticity of low strength concrete alper. However, because the codes of practice do not standardize the internal moisture content of the concrete and disregard the use of recycled aggregates when proposing equations for the estimation of the modulus of elasticity, discrepancies between the values measured and.
Elastic constants are relevant parameters whenever stresses and strains are considered. Effect of cylinder size on the modulus of elasticity and. International journal on recent and innovation trends in. In the same way as the static modulus of elasticity, the probability density functions for the pulse velocity and concrete unit weight are shown in figs. To know the accurate value of elastic modulus of a. Development of a new correlation to determine the static. While there are many factors for high seismic vulnerability of existing buildings, poor quality of concrete is a major and widespread problem for. The main aim of this contribution is description of the static and the dynamic modulus of elasticity of concrete containing recycled aggregate. The modulus of the elasticity is the ratio of stress to corresponding strain below the proportional limit.
Validity and reliability of estimated modulus of elasticity. Pdf estimation of the static modulus of elasticity of concrete using. Abstract the elastic modulus of concrete is an important parameter in reinforced concrete design and analysis. For this reason, the dynamic modulus of elasticity is approximately equal to the tangent modulus at the origin of the stressstrain curve determined in the static test, and is therefore larger than the static secant modulus. Static and dynamic elastic modulus of concrete as affected by mix composition and compressive strength authors. The modulus of elasticity youngs modulus e is a material property, that describes its stiffness and is therefore one of the most important properties of solid materials. Static modulus of elasticity of concrete measured by the. Aci committee 469, standard test method for static modulus of elasticity and poissons ratio of concrete in compression, american concrete institute, farmington hills, mich, usa, 2014. The relationship between the modulus of elasticity and strength is not much affected by the temperature upto 230c as both these properties vary with temperature in the same way. Elasticity modulus, shrinkage, and creep of highstrength. Influence of the moisture content on the dynamic modulus. Experimental determination of the dynamic modulus of.
Modulus of elasticity of concrete the modulus of elasticity of concrete e c adopted in modified form by the aci code is given by with normalweight, normal density concrete these two relations can be simplified to where e c modulus of elasticity of concrete, lbin 2 mpa. Static and dynamic elastic modulus of concrete as affected by. Static and dynamic elastic modulus of concrete as affected. To do this, concrete mixes were cast using three different. Relationships between the static and the dynamic moduli of elasticity are presented for a range of cement stabilised materials and discussed in relation to published data for materials of this type and for concrete. Structure concrete international journal of civil engineering. The influence of concrete composition on youngs modulus core. An investigation was carried out to study strength, modulus of elasticity and shrinkage of concrete containing palm oil fuel ash pofa.
The objectives of this study are to investigate the relationship between static and dynamic elastic moduli determined using shearwave velocity measurements and to demonstrate the practical potential of the shearwave velocity method for in situ dynamic modulus evaluation. Aerated concrete block acb, initial rate of absorption ira, dry density, compressive strength, modulus of elasticity, shear strength, flexural strength. Stressstrain diagrams are shown which were constructed for static. The value of modulus of elasticity of wet specimen is found higher from 3 to 4 gpa 3. The elastic modulus of concrete is an important parameter in reinforced concrete design and analysis. Astm c 469 static modulus of elasticity and poissons ratio of concrete in. Creep and shrinkage of concrete are also affected by the modulus of elasticity of the aggregate112099 author. The elastic modulus of concrete is an important parameter in reinforced. The ratio between static and dynamic modulus of elasticity in normal and high strength concrete abstract there is a simple linear relationship between the static and dynamic elastic module, this lead to hope that using dynamic elastic modulus may remove the problems in measuring the static elastic modulus of concrete. The increase in amount of plastic waste decreases the density of concrete which leads to decrease in the mechanical and to improvement in thermal properties. Static modulus of elasticity of concrete as affected by. Modulus of elasticity and strength linkedin slideshare. Equation 1 is the calculation for the modulus of elasticity of concrete e c according to the pre2005 aashto lrfd specifications eq.
Keywords high strength concrete, model, modulus of elasticity, silica fume. There are a few normalised methods of assessing the elastic properties of material using the vibration. Relationships between the static and the dynamic moduli of. An empirical equation for youngs modulus of normal. Method for determination of static modulus of elasticity in compression status. The dynamic modulus of elasticity can be determined from equation 3 for the longitudinal dynamic test method ldtm and from equation 4 for the ultrasonic pulse method upm. Static modulus of elasticity of concrete scientific. For granites and limestone the modulus of elasticity in compression is in the range 2,000,000 7,000,000 psi. Effect of moisture content on static compressive elasticity. Youngs modulus of concrete samples of different compositions have been tested by static and. How to estimate the modulus of the elasticity of the concrete. Static and dynamic modulus of elasticity of structural lightweight and. Static modulus of elasticity of concrete measured by the ultrasonic method lately, a huge number of accidents caused by problems found in the durability of concrete structures due to inappropriate project design, lack of control of quality during the project \s execution, inadequate maintenance practices and an aggressive environment has been.