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Modulus of Elasticity andPoisson Ratio of Concrete
By: Tzu-Ting Yang
Byoungsok Shin
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Abstract
The construction industry has taken
considerable strides forward over the last twoor three decades with regard to many materials.
High Strength Concrete (HSC) and generallyHigher Performing Concrete Materials, or
High Performance Concrete (HPC) shows usenormous possibility for concrete to affectsociety.
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Introduction of the project
Determination of compressive strength of
cylindrical concrete specimens such as
molded cylinders.
To gain additional knowledge on
property of concrete such as Youngsmodulus and Poisson ratio.
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Procedure
Select six cylindrical concrete specimens.
Attach strain gauges on specimens. Connect wires on each strain gauge.
Cap all end bearing surfaces of specimens
Place an attached strain gauges and cappedcylindrical concrete specimens on the SATEChydraulic universal testing machine.
Press loading and measure data.
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Picture I
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Picture II
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Data
Peak Load(lbs) Strength(psi)
Specimen 1 192,400 6,785
Specimen 2 189,900 6,628
Specimen 3 185,300 6,537
Specimen 4 196,000 6,917
Specimen 5 193,100 6,817
Specimen 6 189,400 6,685
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Graph I
Strains vs Strength Sample 4
0
1000
2000
3000
4000
5000
6000
7000
-1000 -500 0 500 1000 1500 2000 2500
Strain (10E-6) Fig 4.
S
trength(psi) 0.4fc
e (vertical)e (horizontal)
E
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Graph II
ACI Code vs Experimental Results
0.00E+00
2.00E+06
4.00E+06
6.00E+06
8.00E+06
1.00E+07
1.20E+07
0 5000 10000 15000 20000 25000 30000 35000
Strength (psi) Fig 7.
Yo
ung'sModulus(psi)
ACI Code
Sample 6
Sample 5
Sample 4Sample 3
Sample 2
Sample 1
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Calculation
a) Youngs Modulus
E= P / A
E2= 2658.273/ (598.8-50)* 106 = 4843294E5= 2731.838/ (745.6-40)*106 = 3870464
b)Poissons Ratio
V=ex/ey
V2= 90.2/ 598.8= 0.150635
V5= 80.5/ 745.6= 0.107967
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Result
Fc(psi) E V
Specimen 1 6,785 4238,453 0.282144
Specimen 2 6,628 4843,294 0.150635
Specimen 3 6,537 1238,129 0.07315
Specimen 4 6,917 1,922,131 0.068072
Specimen 5 6,817 3870,464 0.107967
Specimen 6 6,685 10516,068 0.545378
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Conclusion
From our data results, figure 7, the specimen 6is the way far from the ACI code. So we canconclude that the specimen 6 have some errorsappear while doing the cylinder sample.
Neglect number 6 of our specimen and take an
average of them, we get the Poissons ratio is0.136394. According to our textbook, thePoissons ratio is frequently taken as 0.15 to0.25. In other words, our experiment is verysuccessful.