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NICK LEACH
5-Oct-05
MAE 244
Sg = 2.110+-.5%
Gage Resistance
R = 120+-.3% Ω
L = 8.00" d = 6.00"
THICKNESS WIDTH
ELASTIC MODULUS WEIGHT
E = 10.4 msi W = 0.12 lb
POISSON'S RATIO
t = .139" b = 0.981" υ = 0.3
APPLIED LOAD (lbs)
AL AXIAL GAGE (µε)
AL TRANSVERSE GAGE (µε)
AL BEAM-TIP DEFLECTION (in)
σ = Mc/I (psi)
0 0.5 1 1.5 2 2.5
2 116 223 329 442 549
2 35 71 107 142 180
5.85 5.9 5.95 6 6.05 6.1
0 949.67 1899.35 2849.02 3798.69 4748.36
THICKNESS WIDTH
t = 0.097" b = 1.025" υ = 0.0925
CALIBRATION FACTORS Gage Factor
ALUMINUM BEAM : 7075-T6 LENGTH CENTER
COMPOSITE BEAM : AS4/3501-6 GRAPHITE EPOXY LENGTH L = 8.00" CENTER d = 6.00" ELASTIC MODULUS WEIGHT APPLIED LOAD (in) 0 0.5 1 1.5 2
E = 16.71 msi W = 0.039 lb
POISSON'S RATIO
COMP AXIAL GAGE COMP TRANSVERSE GAGE COMP BEAM-TIP DEFLECTION (µε) (µε) (in) 0 153 297 440 577
1 16 22 33 49
5.85 5.95 6.05 6.15 6.25
I = 1/12 bt^3 (in^4) 0 c = 1/2 t = .0695
I = 1/12 bt^3 (in^4) 0 c = 1/2 t = .0485
σ = Mc/I (psi) 0 1866.4 3732.8 5599.21 7465.61
2.5
661
62
6.35
9332.01
υ
1 0.3 0.32 0.33 0.32 0.33
υ
0.1 0.07 0.08 0.08
0.09
ALUMINUM BEAM : 7075-T6 P
εL
εT
δ
ε (Theoretical)
σ (=Mc/I)
υ = −εT/εL
(lbs) 0 0.5 1 1.5 2 2.5
(µε) 0 114 221 327 440 547
(µε) 0 33 69 105 140 178
(in) 0 0.05 0.1 0.15 0.2 0.25
ε=3δcd/L^3 0 0.12 0.24 0.37 0.49 0.61
(ksi) 0 949.67 1899.35 2849.02 3798.7 4748.37
0.29 0.31 0.32 0.32 0.33
COMPOSITE BEAM : AS4/3501-6 GRAPHITE EPOXY P
εL
εT
δ
ε (Theoretical)
σ (=Mc/I)
υ = −εT/εL
(lbs) 0 0.5 1 1.5 2 2.5
(µε) 0 153 297 441 577 661
(µε) 0 15 21 32 48 61
(in) 0 0.1 0.2 0.3 0.4 0.5
ε=3δcd/L^3 0 0.06 0.11 0.17 0.23 0.28
(ksi) 0 311.07 622.14 933.21 1244.28 1555.34
0.1 0.07 0.07 0.08 0.09
υ avg
E calculated
E given
% Diff.
0.33
(msi) 0.13
(msi) 10.4
(%) -0.99
υ avg
E calculated
E given
% Diff.
0.09
(msi) 76.97
(msi) 16.71
(%) 3.61
Young's Modulus for the materials ALUMINUM E calculated E given (msi) (msi) 13.75 10.4
% Diff. (%) 32.21
COMPOSITE BEAM E calculated E given (msi) (msi) 8.7 16.71
% Diff. (%) 47.92
Poisson's Ratio for the materials ALUMINUM υ calculated 0.33
COMPOSITE BEAM υ calculated 0.09 Tip Deflection ALUMINUM
υ given 0.3
υ given 0.09
% Diff. (%) 8.83
% Diff. (%) 6.05
Poisson's Ratio for Aluminum 200
5000
Poisson's Ratio for Composite Beam 4500 4000
150 60 125 50 100 40 75 3050
0
0
3000 10000 2500 9000
Column C Linear regresColumn C sion, Column C Linear regression, Column C
2000 8000 1500 7000
1000 6000 500 5000
2025 10 0
3500
175 70
0
0 4000 100 200 03000 300 100400 200500 300600 400 2000 200 400 600 800 1000 0
0
200
400
500
600
600
m
0
Column C Linear regresColumn C sion, Column C Linear regression, Column C
Column F Linear regression, Column F
Column F Linear regression, Column F 500
600
600
800
5-Oct-05
MAE 244
Sg = 2.110+-.5%
Gage Resistance
R = 120+-.3% Ω
L = 8.00" d = 6.00"
THICKNESS WIDTH
ELASTIC MODULUS WEIGHT
E = 10.4 msi W = 0.12 lb
POISSON'S RATIO
t = .139" b = 0.981" υ = 0.3
APPLIED LOAD (lbs)
AL AXIAL GAGE (µε)
AL TRANSVERSE GAGE (µε)
AL BEAM-TIP DEFLECTION (in)
σ = Mc/I (psi)
0 0.5 1 1.5 2 2.5
2 116 223 329 442 549
2 35 71 107 142 180
5.85 5.9 5.95 6 6.05 6.1
0 949.67 1899.35 2849.02 3798.69 4748.36
THICKNESS WIDTH
t = 0.097" b = 1.025" υ = 0.0925
CALIBRATION FACTORS Gage Factor
ALUMINUM BEAM : 7075-T6 LENGTH CENTER
COMPOSITE BEAM : AS4/3501-6 GRAPHITE EPOXY LENGTH L = 8.00" CENTER d = 6.00" ELASTIC MODULUS WEIGHT APPLIED LOAD (in) 0 0.5 1 1.5 2
E = 16.71 msi W = 0.039 lb
POISSON'S RATIO
COMP AXIAL GAGE COMP TRANSVERSE GAGE COMP BEAM-TIP DEFLECTION (µε) (µε) (in) 0 153 297 440 577
1 16 22 33 49
5.85 5.95 6.05 6.15 6.25
I = 1/12 bt^3 (in^4) 0 c = 1/2 t = .0695
I = 1/12 bt^3 (in^4) 0 c = 1/2 t = .0485
σ = Mc/I (psi) 0 1866.4 3732.8 5599.21 7465.61
2.5
661
62
6.35
9332.01
υ
1 0.3 0.32 0.33 0.32 0.33
υ
0.1 0.07 0.08 0.08
0.09
ALUMINUM BEAM : 7075-T6 P
εL
εT
δ
ε (Theoretical)
σ (=Mc/I)
υ = −εT/εL
(lbs) 0 0.5 1 1.5 2 2.5
(µε) 0 114 221 327 440 547
(µε) 0 33 69 105 140 178
(in) 0 0.05 0.1 0.15 0.2 0.25
ε=3δcd/L^3 0 0.12 0.24 0.37 0.49 0.61
(ksi) 0 949.67 1899.35 2849.02 3798.7 4748.37
0.29 0.31 0.32 0.32 0.33
COMPOSITE BEAM : AS4/3501-6 GRAPHITE EPOXY P
εL
εT
δ
ε (Theoretical)
σ (=Mc/I)
υ = −εT/εL
(lbs) 0 0.5 1 1.5 2 2.5
(µε) 0 153 297 441 577 661
(µε) 0 15 21 32 48 61
(in) 0 0.1 0.2 0.3 0.4 0.5
ε=3δcd/L^3 0 0.06 0.11 0.17 0.23 0.28
(ksi) 0 311.07 622.14 933.21 1244.28 1555.34
0.1 0.07 0.07 0.08 0.09
υ avg
E calculated
E given
% Diff.
0.33
(msi) 0.13
(msi) 10.4
(%) -0.99
υ avg
E calculated
E given
% Diff.
0.09
(msi) 76.97
(msi) 16.71
(%) 3.61
Young's Modulus for the materials ALUMINUM E calculated E given (msi) (msi) 13.75 10.4
% Diff. (%) 32.21
COMPOSITE BEAM E calculated E given (msi) (msi) 8.7 16.71
% Diff. (%) 47.92
Poisson's Ratio for the materials ALUMINUM υ calculated 0.33
COMPOSITE BEAM υ calculated 0.09 Tip Deflection ALUMINUM
υ given 0.3
υ given 0.09
% Diff. (%) 8.83
% Diff. (%) 6.05
Poisson's Ratio for Aluminum 200
5000
Poisson's Ratio for Composite Beam 4500 4000
150 60 125 50 100 40 75 3050
0
0
3000 10000 2500 9000
Column C Linear regresColumn C sion, Column C Linear regression, Column C
2000 8000 1500 7000
1000 6000 500 5000
2025 10 0
3500
175 70
0
0 4000 100 200 03000 300 100400 200500 300600 400 2000 200 400 600 800 1000 0
0
200
400
500
600
600
m
0
Column C Linear regresColumn C sion, Column C Linear regression, Column C
Column F Linear regression, Column F
Column F Linear regression, Column F 500
600
600
800
