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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.