Post on 14-Apr-2018
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Poisson Ratio of Concrete
Ben ie Cho and Mulu o am Alemu
Undergraduate Civil Engineering
..
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z Find the Modulus of Elasticity of Concretez Find Poissons Ratio of Concrete
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z
Compressive Strength of Concrete Standardardized test of concrete
zAmerican Society for Testing and Materials
(ASTM)
z Correct mix
z Properly affixing strain gauges
z Properly capping the cylinder with sulfu
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z
Select (5) 4in diameter by 12in lengthconcrete with 28-day age with 4 ksi design
s reng .
z
Cap all the bearing surfaces with sulfur to.
z Mark area where strain gauges will be
.z Clean area with chemical cleaners and
.
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z
Affix strain gauges on their designated area,one vertical and one horizontal, using glue.
z Attach wire to strain gauges by soldering.
z Test voltage of the strain gauges.z Place and center samples on the Satec
Universal Testing Machine.
z onnec e w res o e s ra nindicator, which in turn is connected to a
.
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z
Set gauge factor to 2.055 +/- .5% and zerothe strain readings.
z Begin loading the specimens and record
values of strain for given loads.z Continue testing until failure of the
specimen.
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z
Compute the stress by dividing the loadby the cross-sectional area.
z Graph the strength against the vertical
and horizontal strains of each specimen.z Find values for the Youngs Modulus and
Poissons ratio from the data.
z a cu a e e eore ca va ues eYoungs Modulus and Poissons ratio.
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z
Youngs Modulus E=(s1-s2)/(2-.000005)
z s1=The stress corresponding to the longitudinal
strain of 50 micro strain.2= . .
zE2=The longitudinal strain corresponding to s2.
z Poissons Ratio
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= = - - = . . . .
S1= 150.63 psi 2= 962 micro strain
Cylinder #16000
si)
2000
4000
tress
(
0.4fc'
Vertical strain
0-1000 0 1000 2000 3000 4000 5000
-
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Cylinder #2
6000
4000
5000
s(p
si)
Vertical strainHorizontal Strain
0.4fc'
1000
2000Stre
0-500 0 500 1000 1500 2000 2500
Strain (10E-6)
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y n er
6000
3000
4000
(p
si)
Horizontal Strain
0.4 f 'c
0
1000
2000
Stres
Vertical Strain
-1000-500 0 500 1000 1500 2000 2500
Strain (10E-6)
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Cylinder #45000
i)
3000
4000
s
(ps
Vertical strain
Horizontal strain
0.4fc'
1000Stre
-500 500 1500 2500 3500Strain (10E-6)
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y n er
4500
5000
2500
30003500
4000
s(
psi)
Horizontal Strain
0.4 fc'
5001000
15002000
Stre ertca tran
0-1000 -500 0 500 1000 1500 2000 2500 3000
Strain (10E-6)
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Selected Values of Stress
Cylinder #1
Stress (psi) Strain (lat.) Strain (long.) Poisson's
1006.764 6 440 0.0138252004.217 -11 947 0.013640
3010.265 -20 1462 0.136800
-. .
5221.214 -222 3367 0.065930
Avg.
Poisson
Peak Stress (f 'c) Theoretical E Experimental E
0.055931 5221.214 4.1187 x 106
2.0617 x 106
Cylinder #2
Stress (psi) Strain (lat.) Strain (long.) Poisson's
2000.971 -107.8 438.3 0.245950
1007.369 -39 134.4 0.290179
3011.682 -167.9 800.8 0.1368004005.205 -191.4 1188.3 0.049460
5077.349 -8.6 1938.9 0.065930
Avg. Peak Stress (f 'c) Theoretical E Experimental E
0.1576638 5077.349 4.0615 x 106
3.36506x 106
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Selected Values of Stress
Cylinder #3
Stress (psi) Strain (lat.) Strain (long.) Poisson's
1002.117 -50 303.1 0.164962011.475 -107 705.0 0.15167
3005.714 -162.5 108.6 0.14658
. - . . .
5218.121 -199.2 2196.1 0.09071
Avg.
Poisson
Peak Stress (f 'c) Theoretical E Experimental E
6 6. . . .
Cylinder #4
Stress (psi) Strain (lat.) Strain (long.) Poisson's
1002.117 -64.8 414.1 0.15648
-. . . .
3005.714 -246.1 1403.1 0.17540
4460.386 -185.9 2405.5 0.07728
Avg.Poisson
Peak Stress (f 'c) Theoretical E Experimental E
0.114836 4460.386 3.8068 x 106
2.295322 x 106
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Cylinder #5
Stress (psi) Strain (lat.) Strain (long.) Poisson's
1000.207 -60.2 421.1 0.142962010.281 -116.4 825 0.14109
3003.804 -125.8 1244.6 0.10108
4616.358 -709.4 2470.3 0.28717
Avg.Poisson
Peak Stress (f 'c) Theoretical E Experimental E
0.134460 4616.358 3.8728 x 106 2.434146 x 106
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z
All specimens performed under thetheorectical values of E.
Average E= 2.60E6 psi
z Average Poisson Ratio= .119691
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z
Concrete performed to designspecifications.
E= 1.5 - 5 ksi
= .1z Xiao, Yan. Experimental Analysis of Engineering Materials.
University of Southern California lecture notes 2002.