ABSTRACT

Millimetre (mm) 1 in = 25.4 mm : 1 mm = 0.0394 in Metre (m) 1 ft = 0.3048 m : 1 m = 3.2808 ft Kilometre (km) 1 yd = 0.9144 m : 1 m = 1.0936 yd Kilometre (km) 1 mile = 1.6093 km : 1 km = 0.6214 mile

NOTE : 1 cm = 10 mm 1 ft = 12 in 1 m = 100 cm 1 yd = 3 ft 1 km = 1000 m 1 mile = 1760 yd

AREA

Square Millimetre (mm2) 1 in2 = 645.2 mm2 : 1 mm2 = 0.0016 in2

Square Centimetre (cm2) 1 in2 = 6.4516 cm2 : 1 cm2 = 0.1550 in2

Square Metre (m2) 1 ft2 = 0.0929 m2 : 1 m2 = 10.764 ft2

Square Metre (m2) 1 yd2 = 0.8361 m2 : 1 m2 = 1.1960 yd2

Square Kilometre (km2) 1 mile2 = 2.590 km2 : 1 km2 = 0.3861 mile2

Hectare (ha) 1 acre = 0.405 ha : 1 ha = 2.471 acre

NOTE : 1 cm2 = 100 mm2 1 ft2 = 144 in2

1 m2 = 10000 cm2 1 yd2 = 9 ft2

1 km2 = 100 ha 1 mile2 = 640 acre 1 acre = 4840 yd2

VOLUME

Cubic Centimetre (cm3) 1 cm3 = 0.0610 in3 : 1 in3 = 16.387 cm3

Cubic Decimetre (dm3) 1 dm3 = 0.0353 ft3 : 1 ft3 = 28.329 dm3

Cubic Metre (m3) 1 m3 = 35.315 ft3 : 1 ft3 = 0.0283 m3

Cubic Metre (m3) 1 m3 = 1.3080 yd3 : 1 yd3 = 0.7646 m3

Litre (L) 1 L = 1.76 pint : 1 pint = 0.5683 L Litre (L) 1 L = 2.113 US pt : 1 pint = 0.4733 US L Litre (L) 1L = 0.220 gal 1 gal = 4.546 L

NOTE : 1 dm3 = 1000 cm3 1 ft3 = 1728 in3

1 m3 = 1000 dm3 1 yd3 = 27 ft3

1 L = 1 dm3 1 pint = 20 fl oz 1 HL = 100 L 1 gal = 8 pints

MASS

Milligram (mg) 1 mg = 0.0154 grain : 1 grain = 64.935 mg Gram (g) 1 g = 0.0353 oz : 1 oz = 28.35 g Kilogram (kg) 1 kg = 2.2046 lb : 1 lb = 0.4536 kg Kilogram (kg) 1 kg = 0.020 cwt : 1 cwt = 50.802 kg Tonne (t) 1 t = 0.9842 ton : 1 ton = 1.016 t

NOTE : 1 g = 1000 mg 1 oz = 437.5 grains 1 kg = 1000 g 1 lb = 16 oz 1 t = 1000 kg 1 stone = 14 lb

1 cwt = 112 lb 1 ton = 20 cwt

CONVERSION TABLES

646 Tables and Memoranda

FORCE

Newton (N) 1 lb f = 4.448 N : 1 kg f = 9.807 N Kilonewton (kN) 1 lb f = 0.004448 kN : 1 ton f = 9.964 kN Meganewton (MN) 100 ton f = 0.9964 MN

POWER

Kilowatt (kW) 1 kW = 1.341 HP : 1 HP = 0.746 kW

PRESSURE AND STRESS

Kilonewton 1 lb f/in2 = 6.895 kN/m2

per square metre (kN/m2) 1 bar = 100 kN/m2

1 ton f/ft2 = 107.3 kN/m2

1 kg f/cm2 = 98.07 kN/m2

1 lb f/ft2 = 0.0479 kN/m2

TEMPERATURE

Degrees oC = 5 / 9 (oF − 32o) oF = 9 / 5 x (oC + 32)

CONVERSION TABLES

Tables and Memoranda 647

Two dimensional figures

Figure Area

Triangle 0.5 x base x height, or √(s(s − a)(s − b)(s − c)) where s = 0.5 x the sum of the three sides and a, b and c are the lengths of the three sides, or a2 = b2 + c2 − 2 x bc x COS A where A is the angle opposite side a

Hexagon 2.6 x (side)2

Octagon 4.83 x (side)2

Trapezoid height x 0.5 (base + top)

Circle 3.142 x radius2 or 0.7854 x diameter2

(circumference = 2 x 3.142 x radius or 3.142 x diameter)

Sector of a circle 0.5 x length of arc x radius

Segment of a circle area of sector − area of triangle

Ellipse of a circle 3.142 x AB (where A = 0.5 x height and B = 0.5 x length)

Spandrel 3/14 x radius2

Three dimensional figures

Figure Volume Surface Area

Prism x height Area of base x height circumference of base

Cube (length of side) cubed 6 x (length of side)2

Cylinder 3.142 x radius2 x height 2 x 3.142 x radius x (height − radius)

Sphere 4/3 x 3.142 x radius3 4 x 3.142 x radius2

Segment of a sphere [(3.142 x h)/6] x (3 x r2 + h2) (2 x 3.142 x r x h)

Pyramid 1/3 x (area of base x height) 0.5 x circumference of base x slant height

FORMULAE

648 Tables and Memoranda

Fractions Decimals mm Fractions Decimals mm

1/64 0.015625 0.396875 33/64 0.515625 13.096875 1/32 0.03125 0.79375 17/32 0.53125 13.49375 3/64 0.046875 1.190625 35/64 0.546875 13.890625 1/16 0.0625 1.5875 9/16 0.5625 14.2875 5/64 0.078125 1.984375 37/64 0.578125 14.684375 3/32 0.09375 2.38125 19/32 0.59375 15.08125 7/64 0.109375 2.778125 39/64 0.609375 15.478125 1/8 0.125 3.175 5/8 0.625 15.875 9/64 0.140625 3.571875 41/64 0.640625 16.271875 5/32 0.15625 3.96875 21/32 0.65625 16.66875 11/64 0.171875 4.365625 43/64 0.671875 17.065625 3/16 0.1875 4.7625 11/16 0.6875 17.4625

13/64 0.203125 5.159375 45/64 0.703125 17.859375 7/32 0.21875 5.55625 23/32 0.71875 18.25625

15/64 0.234375 5.953125 47/64 0.734375 18.653125 1/4 0.25 6.35 3/4 0.75 19.05

17/64 0.265625 6.746875 49/64 0.765625 19.446875 9/32 0.28125 7.14375 25/32 0.78125 19.84375

19/64 0.296875 7.540625 51/64 0.796875 20.240625 5/16 0.3125 7.9375 13/16 0.8125 20.6375

21/64 0.328125 8.334375 53/64 0.828125 21.034375 11/32 0.34375 8.73125 27/32 0.84375 21.43125 23/64 0.359375 9.128125 55/64 0.859375 21.828125 3/8 0.375 9.525 7/8 0.875 22.225

25/64 0.390625 9.921875 57/64 0.890625 22.621875 13/32 0.40625 10.31875 29/32 0.90625 23.01875 27/64 0.421875 10.71563 59/64 0.921875 23.415625 7/16 0.4375 11.1125 15/16 0.9375 23.8125

29/64 0.453125 11.50938 61/64 0.953125 24.209375 15/32 0.46875 11.90625 31/32 0.96875 24.60625 31/64 0.484375 12.30313 63/64 0.984375 25.003125 1/2 0.5 12.7 1.0 1 25.4

FRACTIONS, DECIMALS AND MILLIMETRE EQUIVALENTS

Tables and Memoranda 649

SWG Diameter SWG Diameter No inches mm No inches mm

7/0 0.5 12.7 23 0.024 0.61 6/0 0.464 11.79 24 0.022 0.559 5/0 0.432 10.97 25 0.02 0.508 4/0 0.4 10.16 26 0.018 0.457 3/0 0.372 9.45 27 0.0164 0.417 2/0 0.348 8.84 28 0.0148 0.376 1/0 0.324 8.23 29 0.0136 0.345 1 0.3 7.62 30 0.0124 0.315 2 0.276 7.01 31 0.0116 0.295 3 0.252 6.4 32 0.0108 0.274 4 0.232 5.89 33 0.01 0.254 5 0.212 5.38 34 0.009 0.234 6 0.192 4.88 35 0.008 0.213 7 0.176 4.47 36 0.008 0.193 8 0.16 4.06 37 0.007 0.173 9 0.144 3.66 38 0.006 0.152

10 0.128 3.25 39 0.005 0.132 11 0.116 2.95 40 0.005 0.122 12 0.104 2.64 41 0.004 0.112 13 0.092 2.34 42 0.004 0.102 14 0.08 2.03 43 0.004 0.091 15 0.072 1.83 44 0.003 0.081 16 0.064 1.63 45 0.003 0.071 17 0.056 1.42 46 0.002 0.061 18 0.048 1.22 47 0.002 0.051 19 0.04 1.016 48 0.002 0.041 20 0.036 0.914 49 0.001 0.031 21 0.032 0.813 50 0.001 0.025 22 0.028 0.711

IMPERIAL STANDARD WIRE GAUGE (SWG)

650 Tables and Memoranda

Imperial

Head Pressure Head Pressure Feet lb/in2 Feet lb/in2

1 0.43 70 30.35 5 2.17 75 32.51

10 4.34 80 34.68 15 6.5 85 36.85 20 8.67 90 39.02 25 10.84 95 41.18 30 13.01 100 43.35 35 15.17 105 45.52 40 17.34 110 47.69 45 19.51 120 52.02 50 21.68 130 56.36 55 23.84 140 60.69 60 26.01 150 65.03 65 28.18

Metric

Head Pressure Head Pressure m bar m bar

0.5 0.049 18.0 1.766 1.0 0.098 19.0 1.864 1.5 0.147 20.0 1.962 2.0 0.196 21.0 2.06 3.0 0.294 22.0 2.158 4.0 0.392 23.0 2.256 5.0 0.491 24.0 2.354 6.0 0.589 25.0 2.453 7.0 0.687 26.0 2.551 8.0 0.785 27.0 2.649 9.0 0.883 28.0 2.747

10.0 0.981 29.0 2.845 11.0 1.079 30.0 2.943 12.0 1.177 32.5 3.188 13.0 1.275 35.0 3.434 14.0 1.373 37.5 3.679 15.0 1.472 40.0 3.924 16.0 1.57 42.5 4.169 17.0 1.668 45.0 4.415

1 bar = 14.5038 lbf/in2

1 lbf/in2 = 0.06895 bar 1 metre = 3.2808 ft or 39.3701 in 1 foot = 0.3048 metres 1 in wg = 2.5 mbar (249.1 N/m2)

WATER PRESSURE DUE TO HEIGHT

Tables and Memoranda 651

Mild Steel Bar

Diameter Weight Diameter Weight (mm) (kg/m) (mm) (kg/m)

6 0.22 20 2.47 10 0.62 25 3.85 12 0.89 30 5.55 16 1.58 32 6.31

Mild Steel Flat

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

15 x 3 0.36 15 x 5 0.59 20 x 3 0.47 20 x 5 0.79 25 x 3 0.59 25 x 5 0.98 30 x 3 0.71 30 x 5 1.18 40 x 3 0.94 40 x 5 1.57 45 x 3 1.06 45 x 5 1.77 50 x 3 1.18 50 x 5 1.96

20 x 6 0.94 20 x 8 1.26 25 x 6 1.18 25 x 8 1.57 30 x 6 1.41 30 x 8 1.88 40 x 6 1.88 40 x 8 2.51 45 x 6 2.12 45 x 8 2.83 50 x 6 2.36 50 x 8 3.14 55 x 6 2.60 55 x 8 3.45 60 x 6 2.83 60 x 8 3.77 65 x 6 3.06 65 x 8 4.08 70 x 6 3.30 70 x 8 4.40 75 x 6 3.53 75 x 8 4.71

100 x 6 4.71 100 x 8 6.28

20 x 10 1.57 20 x 12 1.88 25 x 10 1.96 25 x 12 2.36 30 x 10 2.36 30 x 12 2.83 40 x 10 3.14 40 x 12 3.77 45 x 10 3.53 45 x 12 4.24 50 x 10 3.93 50 x 12 4.71 55 x 10 4.32 55 x 12 5.12 60 x 10 4.71 60 x 12 5.65 65 x 10 5.10 65 x 12 6.12 70 x 10 5.50 70 x 12 6.59 75 x 10 5.89 75 x 12 7.07

100 x 10 7.85 100 x 12 9.42

TABLE OF WEIGHTS FOR STEELWORK

652 Tables and Memoranda

Mild Steel Equal Angle

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

13 x 013 x 3 0.56 60 x 060 x 10 8.69 20 x 020 x 3 0.88 70 x 070 x 10 10.30 25 x 025 x 3 1.11 75 x 075 x 10 11.05 30 x 030 x 3 1.36 80 x 080 x 10 11.90 40 x 040 x 3 1.82 90 x 090 x 10 13.40 45 x 045 x 3 2.06 100 x 100 x 10 15.00 50 x 050 x 3 2.30 120 x 120 x 10 18.20

150 x 156 x 10 23.00

30 x 030 x 6 2.56 75 x 075 x 12 13.07 40 x 040 x 6 3.52 80 x 080 x 12 14.00 45 x 045 x 6 4.00 90 x 090 x 12 15.90 50 x 050 x 6 4.47 100 x 120 x 12 21.60 60 x 060 x 6 5.42 120 x 120 x 12 21.90 70 x 070 x 6 6.38 150 x 150 x 12 27.30 75 x 075 x 6 6.82 200 x 200 x 12 36.74 80 x 080 x 6 7.34 90 x 090 x 6 8.30

40 x 040 x 8 4.55 50 x 050 x 8 5.82 60 x 060 x 8 7.09 70 x 070 x 8 8.36 75 x 075 x 8 8.96 80 x 080 x 8 9.63 90 x 090 x 8 10.90

100 x 100 x 8 12.20 120 x 120 x 8 14.70

Mild Steel Unequal Angle

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

40 x 025 x 6 2.79 100 x 065 x 10 12.30 50 x 040 x 6 4.24 100 x 075 x 10 13.00 60 x 030 x 6 3.99 125 x 075 x 10 15.00 65 x 050 x 6 5.16 150 x 075 x 10 17.00 75 x 050 x 6 5.65 150 x 090 x 10 18.20 80 x 060 x 6 6.37 200 x 100 x 10 23.00

125 x 075 x 6 9.18

75 x 050 x 8 7.39 100 x 075 x 12 15.40 80 x 060 x 8 8.34 125 x 075 x 12 17.80

100 x 065 x 8 9.94 150 x 075 x 12 20.20 100 x 075 x 8 10.60 150 x 090 x 12 21.60 125 x 075 x 8 12.20 200 x 100 x 12 27.30 137 x 102 x 8 14.88 200 x 150 x 12 32.00

TABLE OF WEIGHTS FOR STEELWORK

Tables and Memoranda 653

Rolled Steel Channels

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

32 x 27 2.80 178 x 076 20.84 38 x 19 2.49 178 x 079 26.81 51 x 25 4.46 203 x 076 23.82 51 x 38 5.80 203 x 089 29.78 64 x 25 6.70 229 x 076 26.06 76 x 38 7.46 229 x 089 32.76 76 x 51 9.45 254 x 076 28.29

102 x 51 10.42 254 x 089 35.74 127 x 64 14.90 305 x 089 41.67 152 x 76 17.88 305 x 102 46.18 152 x 89 23.84 381 x 102 55.10

Rolled Steel Joists

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

76 x 038 6.25 152 x 076 17.86 76 x 076 12.65 152 x 089 17.09

102 x 044 7.44 152 x 127 37.20 102 x 064 9.65 178 x 102 21.54 102 x 102 23.06 203 x 102 25.33 127 x 076 13.36 203 x 152 52.03 127 x 114 26.78 254 x 114 37.20 127 x 114 29.76 254 x 203 81.84

305 x 203 96.72

Universal Columns

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

152 x 152 23.00 254 x 254 89.00 152 x 152 30.00 254 x 254 107.00 152 x 152 37.00 254 x 254 132.00 203 x 203 46.00 254 x 254 167.00 203 x 203 52.00 305 x 305 97.00 203 x 203 60.00 305 x 305 118.00 203 x 203 71.00 305 x 305 137.00 203 x 203 86.00 305 x 305 158.00 254 x 254 73.00 305 x 305 198.00

TABLE OF WEIGHTS FOR STEELWORK

654 Tables and Memoranda

Universal Beams

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

203 x 133 25.00 305 x 127 48.00 203 x 133 30.00 305 x 165 40.00 254 x 102 22.00 305 x 165 46.00 254 x 102 25.00 305 x 165 54.00 254 x 102 28.00 356 x 127 33.00 254 x 146 31.00 356 x 127 39.00 254 x 146 37.00 356 x 171 45.00 254 x 146 43.00 356 x 171 51.00 305 x 102 25.00 356 x 171 57.00 305 x 102 28.00 356 x 171 67.00 305 x 102 33.00 381 x 152 52.00 305 x 127 37.00 381 x 152 60.00 305 x 127 42.00 381 x 152 67.00

Circular Hollow Sections

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

21.3 x 3.2 1.43 76.1 x 03.2 5.75 26.9 x 3.2 1.87 76.1 x 04.0 7.11 33.7 x 2.6 1.99 76.1 x 05.0 8.77 33.7 x 3.2 2.41 88.9 x 03.2 6.76 33.7 x 4.0 2.93 88.9 x 04.0 8.36 42.4 x 2.6 2.55 88.9 x 05.0 10.30 42.4 x 3.2 3.09 114.3 x 03.6 9.83 42.4 x 4.0 3.79 114.3 x 05.0 13.50 48.3 x 3.2 3.56 114.3 x 06.3 16.80 48.3 x 4.0 4.37 139.7 x 05.0 16.60 48.3 x 5.0 5.34 139.7 x 06.3 20.70 60.3 x 3.2 4.51 139.7 x 08.0 26.00 60.3 x 4.0 5.55 139.7 x 10.0 32.00 60.3 x 5.0 6.82 168.3 x 05.0 20.10

TABLE OF WEIGHTS FOR STEELWORK

Tables and Memoranda 655

Square Hollow Sections

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

20 x 20 x 2.0 1.12 90 x 090 x 03.6 9.72 20 x 20 x 2.6 1.39 90 x 090 x 05.0 13.30 30 x 30 x 2.6 2.21 90 x 090 x 06.3 16.40 30 x 30 x 3.2 2.65 100 x 100 x 04.0 12.00 40 x 40 x 2.6 3.03 100 x 100 x 05.0 14.80 40 x 40 x 3.2 3.66 100 x 100 x 06.3 18.40 40 x 40 x 4.0 4.46 100 x 100 x 08.0 22.90 50 x 50 x 3.2 4.66 100 x 100 x 10.0 27.90 50 x 50 x 4.0 5.72 120 x 120 x 05.0 18.00 50 x 50 x 5.0 6.97 120 x 120 x 06.3 22.30 60 x 60 x 3.2 5.67 120 x 120 x 08.0 27.90 60 x 60 x 4.0 6.97 120 x 120 x 10.0 34.20 60 x 60 x 5.0 8.54 150 x 150 x 05.0 22.70 70 x 70 x 3.2 7.46 150 x 150 x 06.3 28.30 70 x 70 x 5.0 10.10 150 x 150 x 08.0 35.40 80 x 80 x 3.6 8.59 150 x 150 x 10.0 43.60 80 x 80 x 5.0 11.70 80 x 80 x 6.3 14.40

Rectangular Hollow Sections

Size Weight Size Weight (mm) (kg/m) (mm) (kg/m)

50 x 30 x 2.6 3.03 120 x 080 x 05.0 14.80 50 x 30 x 3.2 3.66 120 x 080 x 06.3 18.40 60 x 40 x 3.2 4.66 120 x 080 x 08.0 22.90 60 x 40 x 4.0 5.72 120 x 080 x 10.0 27.90 80 x 40 x 3.2 5.67 150 x 100 x 05.0 18.70 80 x 40 x 4.0 6.97 150 x 100 x 06.3 23.30 90 x 50 x 3.6 7.46 150 x 100 x 08.0 29.10 90 x 50 x 5.0 10.10 150 x 100 x 10.0 35.70

100 x 50 x 3.2 7.18 160 x 080 x 05.0 18.00 100 x 50 x 4.0 8.86 160 x 080 x 06.3 22.30 100 x 50 x 5.0 10.90 160 x 080 x 08.0 27.90 100 x 60 x 3.6 8.59 160 x 080 x 10.0 34.20 100 x 60 x 5.0 11.70 200 x 100 x 05.0 22.70 100 x 60 x 6.3 14.40 200 x 100 x 06.3 28.30 120 x 60 x 3.6 9.72 200 x 100 x 08.0 35.40 120 x 60 x 5.0 13.30 200 x 100 x 10.0 43.60 120 x 60 x 6.3 16.40

TABLE OF WEIGHTS FOR STEELWORK

656 Tables and Memoranda

Outside Diameter (mm)

Internal Diameter (mm)

Weight per Metre

(kg)

Internal Diameter (mm)

Weight per Metre

(kg)

Internal Diameter (mm)

Weight per Metre

(kg)

Formerly Table X Formerly Table Y Formerly Table Z

6 4.80 0.0911 4.40 0.1170 5.00 0.0774

8 6.80 0.1246 6.40 0.1617 7.00 0.1054

10 8.80 0.1580 8.40 0.2064 9.00 0.1334

12 10.80 0.1914 10.40 0.2511 11.00 0.1612

15 13.60 0.2796 13.00 0.3923 14.00 0.2031

18 16.40 0.3852 16.00 0.4760 16.80 0.2918

22 20.22 0.5308 19.62 0.6974 20.82 0.3589

28 26.22 0.6814 25.62 0.8985 26.82 0.4594

35 32.63 1.1334 32.03 1.4085 33.63 0.6701

42 39.63 1.3675 39.03 1.6996 40.43 0.9216

54 51.63 1.7691 50.03 2.9052 52.23 1.3343

76.1 73.22 3.1287 72.22 4.1437 73.82 2.5131

108 105.12 4.4666 103.12 7.3745 105.72 3.5834

133 130.38 5.5151 – – 130.38 5.5151

159 155.38 8.7795 – – 156.38 6.6056

DIMENSIONS AND WEIGHTS OF COPPER PIPES TO BSEN 1057, BSEN 12499, BSEN 14251

Tables and Memoranda 657

Outside Diameter

(mm)

Maximum Outside Diameter (mm)

Minimum Outside Diameter (mm)

Wall Thickness

(mm)

Working Pressure

(bar)

6 6.045 5.940 0.6 330

8 8.045 7.940 0.6 260

10 10.045 9.940 0.6 210

12 12.045 11.940 0.6 170

15 15.045 14.940 0.6 140

18 18.045 17.940 0.7 135

22 22.055 21.950 0.7 110

28 28.055 27.950 0.8 121

35 35.070 34.965 1.0 100

42 42.070 41.965 1.1 91

54 54.090 53.940 1.2 77

DIMENSIONS OF STAINLESS STEEL PIPES TO BS 4127

658 Tables and Memoranda

Nominal Size

Approx. Outside Diameter

Outside Diameter Thickness

Light Medium & Heavy Light Medium Heavy

Max. Min. Max. Min.