Deflection Readings from Beam Bending Experiment

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


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


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



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



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


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



0.00 200.00 400.00 600.00 800.00 1000.00 1200.00 1400.00




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


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





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


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





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




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


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


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.



1372.93 0.61

1470.9975 0.71

1569.064 0.80


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




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


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

.00 200.00 400.00 600.00 800.00 1000.00 1200.00 1400.00 1600.00 1800.00

Chart Title



y = 0.0006x - 0.4212

R² = 0.95

0 200.00 400.00 600.00 800.00 1000.00 1200.00 1400.00 1600.00 1800.00

Chart Title




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


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





Thick Wood 1 Thick Wood 2

8.84736E-11 8.85E-11


0.0008 4.60E+09


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





b (m) h (m)

0.0096 0.0048

b (m) h (m)0.0096 0.0048

Thick Wood 1

Thick Wood 2

Documents

Deflection Readings from Beam Bending Experiment