The following tables give the dimensions, weight per foot run, sectional area, moments of inertia, and least radii of gyration for equal-legged, unequal-legged, and bulb-angles in steel: -

(See Fig. 7).

Table No. 23. The Principal Mechanical Elements Of Equal-Legged Angles L

Section. Equal-legged angles.

Area in sq. inches.

Weight in lbs. per foot lineal.

Approximate moment of inertia about axis a - b,

Fig. 1.

Approximate least radius of gyration, axis c - d.

Distance of axis a-b from farthest edge of section. Inches.

8"

X

8"

X

1"

15.00

51.00

88.98

1.56

5.63

8"

X

8"

X

⅞"

13.23

44.98

79.46

• • •

5.68

8"

X

8"

X

¾"

11.44

38.89

70.04

1.57

5.72

8"

X

8"

X

⅝"

9.61

32.67

59.80

• • •

5.77

8"

X

8"

X

½"

7.75

26.35

48.65

1.58

5.87

7"

X

7"

X

1"

1300

44.20

58.16

1.36

4.89

1 In this and the following tables the effects of taper and of the circular curves connecting members are ignored. The values are therefore approximate, but of sufficient accuracy for practical purposes.

Section. Equal-legged angles.

Area in sq. inches.

Weight in lbs. per foot lineal.

Approximate moment of inertia about axis a - b,

Fig. 7.

Approximate least radius of gyration, axis c - d.

Distance of axis a - b from farthest edge of section. Inches.

7"

X

7"

X

1"

11.48

39.05

52.10

• • •

4.93

7"

X X X

7" 7" 7"

X X X

¾"

9.94

33.79

45.86

1.37

4.98

7"

⅝"

8.36

28.42

39.14

• ••

5.02

7"

½"

6.75

22.95

32.00

1.38

5.06

6"

X

6"

X

1"

11.00

37.40

35.46

1.18

4.13

6"

X

6"

X

⅞"

9.73

33.10

31.88

• • •

4.18

6"

X

6"

X

3" 4

8.44

28.69

28.12

1.19

4.22

6"

X X

6" 6"

X

X

⅝"

7.11

24.17

2411

• •

4.27

6"

½"

5.75

19.55

19.90

1.20

4.31

5½"

X X X X

5½"

X

⅞"

8.86

30.12

24.07

1.06

3.81

4"

5½"

X

⅜"

7.69

26.14

21.32

.••

3.85

5½"

5½"

X

⅝"

6.48

22.05

18.03

• • •

3.90

5½"

5½"

X

1"

5.25

17.85

15.19

1.08

3.94

5"

X

5"

X

¾"

6.94

23.59

15.75

0.98

3.48

5"

X

5"

X

⅝"

5.86

19.92

13.56

• • •

3.52

5"

X

5"

X

½"

4.75

16.15

11.24

1.00

3.56

4½"

X

4½"

X

⅝"

5.23

17.80

9.72

0.87

3.14

4½"

X

4½"

X

½"

4.25

14.45

8.00

.. •

3.19

4½"

X

41"

X

16

3.75

12.74

7.18

• ••

3.21

4½"

X

4½"

X

⅜"

3.23

11.00

6.27

0.88

3.23

4"

X

4"

X

⅝"

4.61

15.67

6.65

0.78

2.77

4"

X

4"

X

½"

3.75

12.75

5.56

• •

2.81

4"

X

4"

X X

7/16"

3.31

11.25

4.96

• ••

2.84

4"

X

4"

1

2.86

9.72

4.35

0.79

2.86

3½"

X

3½"

X

⅝"

3.98

13.55

4.32

0.68

2.40

3½"

X

3½"

X

½"

3.25

11.05

3.64

• • •

2.44

3½"

X

3½"

X

7/16"

2.87

9.76

3.24

••

2.46

3½"

X

3½"

X

⅜"

2.48

8.45

2.88

0.69

2.48

3¼"

X

3¼"

X

½"

3.00

10.20

2.85

0.64

2..25

3¼"

X

3¼"

X

7/16"

2.65

9.02

2.58

••

2.28

3¼"

X

3¼"

X

⅜"

2.30

7.82

2.25

0.65

2.30

3"

X

3"

X

½"

2.75

9.35

2-22

0.58

2.07

3"

X

3"

X

7/16"

2.43

8.27

1.99

• • •

2.09

3"

X

3"

X

⅜"

211

7.17

1.75

0.59

2.11

2¾"

X

2¾"

X

½"

2.50

8.50

1.67

0.53

1.87

2¾"

X

2¾"

X

7/16"

2.21

7.53

1.51

.. •

1.90

2¾"

X

2¾"

X

⅜"

1.92

6.53

1.33

0.54

1.92

2½"

X

2½"

X

7/16"

2.00

6.79

1.11

0.49

1.71

2½"

X

2½"

X

⅜"

1.73

5.90

0.98

• • •

1.74

2½"

X

2½"

X

5/16"

1.47

4.98

0.85

0.50

1.76

2¼"

X

2¼"

X

⅜"

1.55

5.26

0.70

0.44

1.55

2¼"

X

2¼

X

5/16"

1.31

4.45

0.61

0.45

1.57

2"

X

2"

x

⅜"

1.36

4.62

0.48

0.39

1.36

2"

X

2"

x

5/16"

1.15

3.92

0.42

0.40

1.38

1¾"

X

1¾"

X

5/16"

1.00

3.39

0.27

0.34

1.20

Section. Equal-legged angles.

Area in sq. inches.

Weight in lbs. per foot lineal.

Approximate moment of inertia about axis a - b,

Fig. 7.

Approximate least radius of gyration, axis .-d.

Distance of axis a - b from farthest edge of section. Inches.

1¾"

X

1¾"

X

¼"

0.81

2.76

0.23

0.34

1.22

1½"

X

1½"

X

5/16"

0.84

2.86

0.16

0.30

1.01

1½"

X

1½"

X

¼"

0.69

2.34

0.14

0.30

1.03

1¼"

X

1¼"

X

¼"

0.56

1.91

0.077

0.24

0.85

1¼"

X

1¼"

X

⅛"

0.29

0.98

0.044

0.24

0.89

1"

X

1"'

X

¼"

0.44

1.49

0.037

0.19

0.66

1"

X

1"

X

⅛'

0.23

0.78

0.022

0.19

0.70

¾"

X

¾"

X

⅛"

0.17

0.58

0.008

0.15

0.51

Table No. 24. The Principal Mechanical Elements Of Unequal-Legged Angles (See Fig. 8)

Section. Unequal-legged angles.

Area in sq. inches.

Weight in lbs. per foot lineal.

Approximate moment of inertia about axis a - b,

Fig. 8.

Approximate least radius of gyration about axis c - d.

Distance of axis a - b from farthest edge of section.

Inches.

14"

X

3½"

X

I"

8.50

28.90

160.0

0.94

8.19

11'

X

3":

X

½"

6.75

22.95

78.5

0.81

6.47

10"

X

3½"

X

½"

6.50

22.10

63.5

0.92

6.10

9"

X

3½

X

½"

6.00

20.40

48.0

0.90

5.56

8"

X

4½

X

5"

4

8.81

29.96

57.1

0.96

5.16

8"

X

4½

X

⅝"

7.42

25.23

48.6

0.96

5.21

8"

X

4½"

X

½"

6.00

20.40

39.8

0.96

5.25

8"

X

3½"

X

⅝"

6.80

23.11

42.5

0.73

4.96

8"

X

3½

X

½"

5.50

18.70

33.5

0.73

5.02

8"

X

3"

x

⅝"

6.48

22.05

40.2

0.73

4.84

8"

X

3"

x

½"

5.25

17.85

32.6

0.73

4.89

7½"

X

3"

X

⅝"

6.17

20.98

33.7

0.71

4.57

7½"

X

3"

X

½"

5.00

17.00

27.5

0.71

4.62

7"

X

4"

x

¾"

7.69

26.14

37.87

0.85

4.50

7"

X

4"

x

⅝"

6.48

22.05

32.24

0.85

4.54

7"

X

4"

x

½"

5.25

17.85

26.62

0.86

4.58

7"

X

3½"

X

⅝"

6.17

20.98

30.73

0.75

4.43

7"

X

3½"

X

1"

5.00

17.00

25..33

0.75

4.47

7"

X

3"

X

⅝"

5.86

19.92

27.9

0.76

4.30

7"

X

3"

x

½"

4.75

16.15

22.9

0.76

4.35

7"

X

3"

x

⅜"

3.61

12.27

17.6

0.77

4.40

6½"

X

4½"

X

⅝"

6.41

22.05

27.56

0.95

4.34

6½"

X

4½

X

½"

5.25

17.85

23.49

0.96

4.38

6½"

X

4½"

X

1"

3.98

13.55

17.68

0.96

4.43

6i"

X

4"

X

⅝"

6.17

20.98

26.36

0.84

4-26

Section. Unequal-legged angles.

Area in sq. inches.

Weight in lbs. per foot lineal.

Approximate moment of inertia about axis a - b,

Fig. 8.

Approximate least radius of gyration about axis c - d.

Distance of axis a - b from farthest edge of section. Inches.

6½"

X

4"

x

½"

5.00

17.00

21.42

0.85

4.30

6½"

X

4"

X

⅜"

3.80

12.91

16.81

0.85

4.34

6½"

X

3½"

X

⅝"

5.86

19.92

24.99

0.79

4.15

6½"

X

3½"

X

½"

4.75

16..15

20.37

0.80

4.19

6½"

X

3½"

x

⅜"

3.61

12.27

16.15

0.80

4.24

6½"

X

3"

x

⅝"

5.55

18.86

24.35

0.78

4.03

6½"

X

3"

X

½"

4.50

15.30

18.75

0.79

4.08

6½"

X

3"

x

⅜"

3.42

11.63

14.35

0.79

4.13

6"

X

5"

X

⅞"

8.86

30.12

30.13

1.03

4.04

6"

X

5"

X

¾"

7.69

26.14

26.46

1.04

4.08

6"

X

5"

X

⅝"

6.48

22.05

22.68

1.04

4.13

6"

X

4"

X

¾"

6.94

23.59

24.62

0.87

3.92

6"

X

4"

X

⅝"

5.86

19.92

21.25

0.88

3.96

6"

X

4"

X

½"

4.75

16.15

17.45

0.88

4.01

6"

X

3|"

X

⅝"

5.55

18.86

20.18

0.79

3.87

6"

X

3½"

X

½"

4.50

15.30

16.63

0.80

3.92

6"

X

3½"

X

7/16"

3.97

13.48

14.74

0.80

3.94

6"

X

3"

X

⅝"

5.23

17.80

18.92

0.76

3.76

6"

X

3"

X

½"

4.25

14.45

15.68

0.77

3.81

6"

X

3"

X

⅜"

3.23

11.00

12.12

0.77

3.85

5½"

X

4"

X

⅝"

5.55

18.86

16.37

0.86

3.67

5½"

X

4"

X

½"

4.50

15.30

13.64

0.87

3.72

5½"

X

4"

X

⅜"

3.42

11.63

10.51

0.87

3.78

5½"

X

3½"

X

⅝"

5.23

17.80

15.84

0.79

3.59

5½"

X

3½"

X

½"

4.25

14.45

13.04

0.80

3.63

5½"

X

3½"

X

⅜"

3.23

11.00

10.07

0.80

3.67

5½

X

3"

X

⅝"

4.92

16.73

14.91

0.67

3.49

5½"

X

3"

X

½"

4.00

13.60

12.28

0.68

3.53

5½"

X

3"

X

⅜"

3.05

10.36

9.53

0.68

3.57

5"

X

4½"

X

⅝"

5.55

18.86

13.10

0.89

3.45

5"

X

4½"

X

½"

4.50

15.30

10.88

0.90

3.50

5"

X

4½"

X

⅜"

3.42

11.63

8.44

0.90

3.54

5"

X

4"

X

⅝"

5.23

17.80

12.55

0.85

3.38

5"

X

4"

X

½"

4.25

14.45

10.45

0.86

3.42

5"

X

4"

X

⅜"

3.23

11.00

8.12

0.86

3.46

5"

X

3½"

X

⅝"

4.92

16.73

12.03

0.75

3.30

5"

X

3½"

X

½"

4.00

13.60

10.02

0-76.

3.34

5"

X

3½"

X

⅜"

3.05

10.36

7.79

0.76.

3.39

5"

X

3"

X

⅝"

4.61

15.67

11.36

0.65

3.21

5"

X

3"

X

½"

3.75

12.75

9.45

0.66

3.25

5"

X

3"

X

⅜"

2.86

9.72

7.31

0.66

3.29

4½"

X

4"

X

⅝"

4.92

16.73

9.37

0.80

3.08

4½"

x

4"

X

½"

4.00

13.60

7.87

0.81

3.13

4½"

X

4"

X

⅜"

3.05

10.36

6.05

0.81

3.17

4½"

X

3½"

X

⅝"

4.61

15.67

8.83

0.74

3.01

Section. Unequal-legged angles.

Area in sq. inches.

Weight in lbs. per loot lineal.

Approximate moment of inertia about axis a - b,

Fig. 8.

Approximate least radius of gyration about axis c - d.

Distanca of axis a - b from farthest edge of section. Inches.

4½"

X

3½"

X

½"

3.75

12.75

7.33

0.75

3.05

4½"

X

3½"

X

⅜"

2.86

972

5.71

0.75

3.09

4½"

X

3"

X

⅝"

4.30

14.61

8.50

0.65

2.91

4½"

X

3"

X

½"

3.50

11.90

7.02

0.66

2.96

4½"

X

3"

X

⅜"

2.67

9.08

5.49

0.66

3.00

4½"

X

2½"

X

½"

3.25

11.05

6.03

0.62

2.86

4½"

X

3"

X

⅜"

2.48

8.45

5.17

0.62

2.90

4"

X

3½"

X

⅝"

4.30

14.61

6.36

0.72

2.70

4"

X

3½""

X

½"

3.50

11.90

5.31

0.73

2.75

4"

X

3½"

X

⅜"

2.67

9.08

4.16

0.73

2.79

4"

X

3"

X

⅝"

3.98

13.55

6.01

0.64

2.63

4"

X

3"

X

½"

3.25

11.05

5.03

0.65

2.67

4"

X

3"

X

⅜"

2.48

8.45

3.95

0.65

2.71

4"

X

2½"

X

½"

3.00

10.20

4.72

0.56

2.58

4"

X

2½"

X

⅜"

2.30

7.81

3.79

0.56

2.62

3½"

X

3"

X

½"

3.00

10.20 .

3.45

0.63

2.37

3½"

X

3"

X

⅜"

2.30

7.81

2.71

0.63

2.42

3½"

X

2½"

X

½"

2.75

9.35

3.25

0.55

2.29

3½"

X

2

X

⅜"

2.11

7.17

2.57

0.55

2.33

3½"

X

2¼"

X

⅜"

2.02

6.85

2.46

0.53

2.29

3½"

X

2¼"

X

5/16"

1.70

5.78

2.10

0.53

2.32

3"

X

2¾"

X

½"

2.63

8.93

2.16

0.55

2.03

3"

X

2¾

X

⅜"

2.02

6.85

1.78

0.55

2.08

3"

X

2½"

X

½"

2.50

8.50

2.09

0.53

2.00

3"

X

2½"

X

⅜"

1.92

6.53

1.64

0.53

2.04

3"

X

2"

X

5/16"

1.47

4.98

1.32

0.44

1.98

3"

X

2"

X

¼"

1.19

4.04

1.07

0.44

2.01

2½"

X

2¼"

X

5/16"

1.39

4.72

0.82

0.45

1.73

2½"

X

2¼"

X

¼"

1.13

3.83

0.68

0.45

1.75

2½"

X

2"

X

5/16"

1.31

4.45

0.79

0.43

1.69

2½"

X

2"

X

¼"

1.06

3.61

0.65

0.43

1.71

2½"

X

1¾"

X

¼"

0.94

3.19

0.46

0.34

1.52

2"

X

1¾"

X

¼".

0.88

2.98

033

0.35

1.37

2"

X

1¾"

X

¼"

0.81

2.76

0.31

0.32

1.34

2"

X

1"

X

3/16"

0.53

1.79

0.21

0.25

1.26

1¾"

X

1½"

X

¼"

0.75

2.55

021

0.29

1.19

1¾"

X

1½"

X

⅛"

0.39

1.32

0.12

0.29

1.23

1½"

X

1¼

X

I"

0.63

2.13

0.13

0.26

1.00

1½"

X

1¼"

X

1"

0.33

1.12

0.070

0.26

1.04

1¼"

X

1"

X

⅛"

0.26

0.88

0.040

0.21

0.85

1¼"

X

⅞"

X

⅛"

0.25

0.85

0.039

0.20

0.83

1⅛"

X

⅞"

X

⅛"

0.23

0.78

0.028

0.20

0.76

1"

X

¾"

X

⅛"

0.20

0.68

0.019

0.16

0.67

¾"

X

½"

X

⅛"

0.14

0.47

0.007

0.11

0.48