deflection readings from beam bending experiment
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7/21/2019 Deflection Readings from Beam Bending Experiment
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Reading Mass Applied (g) Force Applied (mN) Deflection (mm) Reading
1 60 588.40 0.30 1
2 70 686.47 0.56 2
3 80 784.53 0.93 3
4 90 882.60 1.24 4
5 100 980.67 1.30 56 110 1078.73 1.87 6
7 120 1176.80 2.25 7
Reading Mass Applied (g) Force Applied (mN) Deflection (mm) Reading
1 60 588.40 0.02 1
2 70 686.47 0.34 2
3 80 784.53 0.81 3
4 90 882.60 1.18 4
5 100 980.67 1.42 56 110 1078.73 1.84 6
7 120 1176.80 2.43 7
Force Applied (mN) Deflection (mm)
588.40 0.30
686.47 0.56
784.53 0.93
882.60 1.24
980.67 1.30
1078.73 1.87
1176.80 2.25
588.40 0.05
686.47 0.17
784.53 0.53
882.60 0.94
980.67 1.20
1078.73 1.62
1176.80 1.96
Force Applied (mN) Deflection (mm)
588.40 0.02
686.47 0.34
784.53 0.81
882.60 1.18
980.67 1.42
1078.73 1.84
Attempt 1
Attempt 1
Thin Wood 1 (15cm)
Thin Wood 2 (15cm)
Attempt 1
Attempt 2
Thin Wood 1
Thin Wood 2
Attempt 1
0.0
0.5
1.0
1.5
2.0
2.5
2.0
2.5
3.0
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1176.80 2.43
588.40 0.04
686.47 0.65
784.53 0.92
882.60 1.36
980.67 1.71
1078.73 2.00
1176.80 2.52
Attempt 2
0.0
0.5
1.0
1.5
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Mass Applied (g) Force Applied (mN) Deflection (mm) Reading Mass Applied (g)
60 588.40 0.05 1 60
70 686.47 0.17 2 70
80 784.53 0.53 3 80
90 882.60 0.94 4 90
100 980.67 1.20 5 100110 1078.73 1.62 6 110
120 1176.80 1.96 7 120
Mass Applied (g) Force Applied (mN) Deflection (mm) Reading Mass Applied (g)
60 588.40 0.04 1 60
70 686.47 0.65 2 70
80 784.53 0.92 3 80
90 882.60 1.36 4 90
100 980.67 1.71 5 100110 1078.73 2.00 6 110
120 1176.80 2.52 7 120
Av
Thin Wood 1 (15cm)
Attempt 2
Thin Wood 2 (15cm)
Attempt 2
Thi
Av
Thi
y = 0.0033x - 1.8496
R² = 0.9391
0.00 200.00 400.00 600.00 800.00 1000.00 1200.00 1400.00
Thin Wood 1
y = 0.004x - 2.2673
R² = 0.98
Thin Wood 2
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0.00 200.00 400.00 600.00 800.00 1000.00 1200.00 1400.00
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Force Applied (mN) Deflection (mm)
588.40 0.18
686.47 0.37
784.53 0.73
882.60 1.09
980.67 1.251078.73 1.75
1176.80 2.11
Force Applied (mN) Deflection (mm)
588.40 0.03
686.47 0.50
784.53 0.87
882.60 1.27
980.67 1.571078.73 1.92
1176.80 2.48
erage Readings
Wood 1 (15cm)
erage Readings
Wood 2 (15cm)
y = 0.0
R²
0.00
0.50
1.00
1.50
2.00
2.50
0.00 200.00 400.00 600.00 8 D e f l e c t i o n ,
w
( m m )
Load, F (
Thin Woo
y = 0.
R²
0.00
1.00
2.00
3.00
0.00 200.00 400.00 600.00 8 D e
f l e c t i o n ,
w
( m m )
Load, F (
Thin Woo
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7/21/2019 Deflection Readings from Beam Bending Experiment
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Length of Beam, L (m)
0.15
Thin Wood 1 Thin Wood 2
6.25E-12 6.25E-12
Gradient Young's Modulus, E1
0.0033 3.41E+09
Gradient Young's Modulus, E2
0.004 2.81E+09
Average Young's Modulus, E (GPa)3.110795455
Second Moment of Area, I
Thin Wood 1 (15cm)
Thin Wood 2 (15cm)
033x - 1.8496
= 0.9882
0.00 1000.00 1200.00 1400.00
N)
1
04x - 2.2673
= 0.9949
00.00 1000.00 1200.00 1400.00 N)
2
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b (m) h (m)
0.0048 0.0025
b (m) h (m)
0.0048 0.0025
Thin Wood 1
Thin Wood 2
=
48
=
48
=
48
0.0033 =
48
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Reading Mass Applied (g) Force Applied (mN) Deflection (mm) Reading
1 70 686.47 0.06 1
2 80 784.53 0.10 2
3 90 882.60 0.15 3
4 100 980.67 0.27 45 110 1078.73 0.31 5
6 120 1176.80 0.39 6
7 130 1274.86 0.50 7
8 140 1372.93 0.58 8
9 150 1470.9975 0.67 9
10 160 1569.064 0.72 10
Reading Mass Applied (g) Force Applied (mN) Deflection (mm) Reading
1 70 686.47 0.04 1
2 80 784.53 0.11 2
3 90 882.60 0.20 3
4 100 980.67 0.25 4
5 110 1078.73 0.27 5
6 120 1176.80 0.35 6
7 130 1274.86 0.42 7
8 140 1372.93 0.50 8
9 150 1470.9975 0.60 9
10 160 1569.064 0.67 10
Force Applied (mN) Deflection (mm)
686.47 0.06
784.53 0.10
882.60 0.15
980.67 0.27
1078.73 0.31
1176.80 0.39
1274.86 0.50
1372.93 0.58
1470.9975 0.671569.064 0.72
686.47 0.08
784.53 0.14
882.60 0.22
980.67 0.30
1078.73 0.38
1176.80 0.48
1274.86 0.52
Thick Wood 1 (25cm)
Attempt 1
Thick Wood 2 (25cm)
Attempt 1
Attempt 1
Attempt 2
Thick Wood 1
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
0.
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1372.93 0.61
1470.9975 0.71
1569.064 0.80
Force Applied (mN) Deflection (mm)
686.47 0.04
784.53 0.11
882.60 0.20
980.67 0.25
1078.73 0.27
1176.80 0.35
1274.86 0.42
1372.93 0.50
1470.9975 0.60
1569.064 0.67
686.47 0.02
784.53 0.06
882.60 0.12
980.67 0.18
1078.73 0.23
1176.80 0.30
1274.86 0.35
1372.93 0.41
1470.9975 0.48
1569.064 0.54
Attempt 2
Thick Wood 2
Attempt 1
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.0
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Mass Applied (g) Force Applied (mN) Deflection (mm) Reading Mass Applied (g)
70 686.47 0.08 1 70
80 784.53 0.14 2 80
90 882.60 0.22 3 90
100 980.67 0.30 4 100110 1078.73 0.38 5 110
120 1176.80 0.48 6 120
130 1274.86 0.52 7 130
140 1372.93 0.61 8 140
150 1470.9975 0.71 9 150
160 1569.064 0.80 10 160
Mass Applied (g) Force Applied (mN) Deflection (mm) Reading Mass Applied (g)
70 686.47 0.02 1 70
80 784.53 0.06 2 80
90 882.60 0.12 3 90
100 980.67 0.18 4 100
110 1078.73 0.23 5 110
120 1176.80 0.30 6 120
130 1274.86 0.35 7 130
140 1372.93 0.41 8 140
150 1470.9975 0.48 9 150
160 1569.064 0.54 10 160
Thic
Av
Thick Wood 1 (25cm)
Attempt 2
Thick Wood 2 (25cm)
Attempt 2
Thic
Av
y = 0.0008x - 0.5084
R² = 0.9826
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Chart Title
7/21/2019 Deflection Readings from Beam Bending Experiment
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y = 0.0006x - 0.4212
R² = 0.95
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Chart Title
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Force Applied (mN) Deflection (mm)
686.47 0.07
784.53 0.12
882.60 0.19
980.67 0.281078.73 0.35
1176.80 0.44
1274.86 0.51
1372.93 0.60
1470.9975 0.69
1569.064 0.76
Force Applied (mN) Deflection (mm)
686.47 0.03
784.53 0.09
882.60 0.16
980.67 0.22
1078.73 0.25
1176.80 0.33
1274.86 0.39
1372.93 0.46
1470.9975 0.54
1569.064 0.61
k Wood 2 (25cm)
erage Readings
k Wood 1 (25cm)
erage Readings
y =
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.00 200.00 400.00 600.00 800.00 1000.00
D e f l e c t i o n ,
w
( m m )
Load, F (mN)
Thick Wood 2
y =
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.00 200.00 400.00 600.00 800.00 1000.00
D e f l e c t i o
n ,
w
( m m )
Load, F (mN)
Thick Wood 1
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Thick Wood 1 Thick Wood 2
8.84736E-11 8.85E-11
Gradient Young's Modulus, E1
0.0008 4.60E+09
Gradient Young's Modulus, E2
0.0006 6.13E+09
Length of Beam, L (m)
0.25
Second Moment of Area, I
Thick Wood 1 (25cm)
Thick Wood 2 (25cm)
Average Young's Modulus, E (Gpa)
5.365644463
0.0006x - 0.4212R² = 0.9949
1200.00 1400.00 1600.00 1800.00
0.0008x - 0.5084
R² = 0.9971
1200.00 1400.00 1600.00 1800.00
7/21/2019 Deflection Readings from Beam Bending Experiment
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b (m) h (m)
0.0096 0.0048
b (m) h (m)0.0096 0.0048
Thick Wood 1
Thick Wood 2