SECTION C
Factors From Finite Areas to Finite Areas

C-113: Frustum of right circular cone to disk in base of cone; r1 < r2.

 

Reference: Buschman and Pittman

Definitions:
 

L = l/h

R = r1/r2

Tabular Results: 

L

R

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

a = 5o

0.1

2.84E-3

1.40E-2

2.59E-2

4.64E-2

7.36E-2

1.0 8E-1

1.51E-1

2.00E-1

2.60E-1

3.27E-1

0.2

2.16

8.63E-3

1.94

3.45

5.39

7.8E-2

1.07

1.40

1.77

2.19

0.3

1.64

6.56

1.48

2.61

4.09

5.9

8.07E-2

1.05

1.33

1.65

0.4

1.34

5.36

1.21

2.13

3.33

4.81

6.58

8.57E-2

1.09

1.34

0.5

1.15

4.61

1.04

1.84

2.87

4.16

5.66

7.38

9.35E-2

1.15

0.6

1.06

4.14

9.31E-3

1.65

2.57

3.72

5.08

6.62

8.38

1.03

0.7

9.58E-4

3.83

8.61

1.52

2.38

3.43

4.70

6.12

7.75

9.56E-2

0.8

9.09

3.63

8.17

1.44

2.26

3.26

4.46

5.81

7.36

9.07

0.9

8.82

3.52

7.92

1.40

2.19

3.16

4.32

5.63

7.14

8.80

1.0

8.72

3.49

7.84

1.39

2.8

3.14

4.27

5.58

7.06

8.72

a = 10o

0.1

2.59E-3

1.06E-2

2.47E-2

4.60E-2

7.61E-2

1.18E-1

1.73E-1

2.47E-1

3.42E-1

4.62E-1

0.2

3.21

1.29

2.94

5.30

8.38

1.23

1.70

2.26

2.92

3.68

0.3

2.90

1.16

2.62

4.69

7.35

1.06

1.45

1.91

2.43

3.01

0.4

2.52

1.01

2.28

4.06

6.35

9.16E-2

1.25

1.63

2.07

2.56

0.5

2.23

8.95E-3

2.02

3.59

5.61

8.09

1.10

1.44

1.82

2.25

0.6

2.03

8.13

1.83

3.26

5.09

7.34

9.99E-2

1.31

1.65

2.04

0.7

1.89

7.56

1.70

3.03

4.74

6.83

9.29

1.21

1.54

1.90

0.8

1.79

7.20

1.62

2.89

4.51

6.50

8.84

1.16

1.46

1.81

0.9

1.74

6.99

1.57

2.80

4.38

6.31

8.59

1.12

1.42

1.75

1.0

1.73

6.95

1.56

2.78

4.34

6.25

8.51

1.11

1.41

1.74

a = 20o

0.1

1.55E-3

6.40E-3

1.52E-2

2.93E-2

5.12E-2

8.54E-2

1.41E-1

2.32E-1

3.82E-1

6.08E-1

0.2

3.07

1.25E-2

2.92

5.47

9.10

1.41E-1

2.09

2.98

4.11

5.50

0.3

3.91

1.58

3.62

6.58

1.05E-1

1.57

2.21

2.99

3.91

5.00

0.4

4.12

1.66

3.75

6.73

1.06

1.55

2.14

2.83

3.64

4.55

0.5

4.03

1.61

3.64

6.50

1.02

1.47

2.02

2.65

3.37

4.19

0.6

3.85

1.54

3.47

6.17

9.66E-2

1.39

1.90

2.49

3.15

3.90

0.7

3.67

1.47

3.30

5.88

9.19

1.32

1.80

2.36

2.98

3.69

0.8

3.53

1.41

3.18

5.66

8.84

1.27

1.73

2.26

2.87

3.54

0.9

3.45

1.38

3.10

5.52

8.62

1.24

1.69

2.21

2.79

3.45

1.0

3.42

1.37

3.08

5.47

8.55

1.23

1.68

2.19

2.77

3.42