HANDY By J. H. WATSON BUCK, M. Inst. C.E London: CROSBY LOCKWOOD & SON, 7, Stationers’ Hall Court, E.C HANDY THE UNIVERSITY OF ILLINOIS GENERAL E By J. H. WATSOrs LIBRARY I'o find t! Multipi Oi Slo] i to I 0* i to I I I to I I 5 1 H to I 2‘S i| to I 3 I 2 to I 4 I to I 4'5 66 Feet Chain. itting or Heights of Embankment. ent of the Central Part, one foot in width for one Chain in length (66 feet). „ Two slopes I to I, ent one chain in length ; multiply B by the width of formation in feet ; multiply CC by lultiplier given below ; add together the two results. Multipliers. Multipliers. MuLTII'UERS. Multipliers. Multipliei One Two One Two One Two One Two One Slope. Slopes. Slope. Slopes. Slope. Slopes. Slope. Slope.s. Slope. 2 | to I 5 10 i to I 0*25 o '5 ? to I 17s 3'5 if to I 3-25 6-5 2 | to I 475 2I to I 5-5 1 1 1 to I 075 t'S I g to I 2-25 4-’5 l| to I 375 7 'S 2 | to I 5 '25 3 to I 6 12 1 to I 1-25 2'5 l| to I 275 5 '5 2l to I 4'25 8-5 2j to I 575 &c., &c. A B CC A B CC A B CC A B CC A B CC A B CC A B CC A B CC A B CC Fi Cubic Cubic Ff Cubic Cubic Ff Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Ft. Ft. \ ards. Yards. Yards. \ ards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards Yards. Yards. Yards. 000 O’OO 0*00 9 00 22*00 49-5 18-00 44*00 198-0 27-00 66-00 445-5 36-00 88-00 792-0 45-00 1 10-00 1237-5 54-00 132*00 1782-0 63 00 •54-00 2425-5 72-00 176-00 3168-0 •25 o'6i 0*04 -25 22-61 52-3 •25 44-61 203-5 •25 66-61 453-7 •25 88 -6 1 803-0 •25 110-61 1251-3 •25 132-61 •798-5 -25 •54-6^ 2444-8 -25 176-61 3190-0 so I *22 0-15 •50 23*22 55-1 so 45-22 209*1 •50 67-22 462-2 •50 89-22 814-1 •50 111*22 1265-1 •50 • 33-22 1815-1 -50 •55-22 2464-1 -50 177*22 3212-1 75 1-83 0-34 75 23-83 58-1 -75 45-83 214-8 •75 67-83 470-5 •75 89-83 825-3 •75 111-83 1279-1 •75 •33-83 •83^-8 -75 •55-83 2483-5 75 •77-83 3234-3 I 00 2 '44 0-61 10 00 24-44 61 *I 19 00 46-44 220-6 28 00 68-44 479-1 37-00 90-44 836-6 46 00 112-44 1293-0 55-00 •34-44 1848-6 64-00 •56-44 2503-0 73-00 •78-44 3256-5 •25 3 '05 0-96 •25 25-05 64-2 •25 47-05 226-5 •25 69-05 487-6 •25 91-05 847-9 •25 113-05 1307-2 •25 •35-05 •865-4 -25 •57-05 2522-6 -25 •79-05 3278-9 •50 3-66 1-37 •50 25-66 67-4 •50 47-66 232-4 •50 69-66 496-4 •SO 91 -66 859-4 •50 113-66 1321-3 •50 •35-66 1882-3 -50 •57-66 2542-3 -50 179-66 3301 -3 75 4-27 1-87 75 26-27 70-6 •75 48-27 238-4 •75 70-27 505-0 •75 92*27 870-9 •75 114-27 1335-6 •75 •36-27 •899-3 -75 •58-27 2562-1 75 180-27 3323 8 2 00 489 2-44 1 1 -00 26-88 74-0 20-00 48-89 244-4 29 00 70-89 514-0 38-00 92-89 882-5 47-00 114-88 1350-0 56-00 •36-89 1916-4 65-00 •58-89 2581-9 74-00 180-88 3346-4 •25 5 ’50 3-09 •25 27-50 77-3 •25 49-50 250-5 •25 71-50 522-7 •25 93-50 894-1 •25 115-50 1364-3 •25 •37-50 •933-6 -25 •59-50 2601 -8 -25 •81-50 3369-0 •50 6t I 3-82 •50 28-11 80-8 •50 50*1 1 256-8 •50 72-11 531-8 •50 94-11 905-8 •50 11611 1378-8 •50 •38-u •950-8 -50 160-11 2621-8 -50 182-11 3391 "8 75 672 4-61 75 28-71 84-4 •75 50-72 263-1 •75 72-72 540-8 •75 94-72 917-6 •75 116-72 1393-3 •75 •38-7^ 1968-1 -75 160-71 2641 -8 ■75 182-72 3414"6 3 00 7 ’33 5 -49 12-00 29-33 88-0 21 00 51-33 269-5 30-00 73-33 549-9 39-00 95-33 929-5 48-00 117-33 1408-0 57-00 •39-33 •985-5 66-00 •61-33 2662-0 75-00 •83-33 3437-4 •25 7 ’94 6-45 •25 29-94 91-7 •25 51-94 275-9 •25 73-94 559-1 •25 95-94 941-4 •25 117-94 1422-7 •25 •39-94 2002 *9 -25 161-94 2682-1 -25 •83-94 3462-4 •50 8-54 7-48 •50 30-55 95-5 •50 52-55 282-5 •50 74-55 568-5 •50 96-55 953-5 •50 118-55 1437-4 •50 •40-55 2020*4 -50 162-55 2702*4 -50 •84-55 3483-4 75 9'i6 8-59 75 31-16 993 •75 53-16 289-1 •75 75-16 577-7 •75 97-16 965-6 •75 1 19-16 1452-3 •75 141 -16 2038-0 -75 163-16 2722-8 '75 •85-16 3506-5 4 00 977 978 13-00 31-77 103-3 22 -00 53-78 295-8 31-00 75-77 587-3 40-00 97-77 977-7 49-00 119-77 1467-2 58-00 •41-78 2055-7 67-00 •63-77 2743-2 76 00 185-77 3529-7 •25 10-38 1 1 *oo •25 32-38 107-3 •25 54-38 302-5 •25 76-38 596-7 •25 98-38 990*0 •25 120-38 1482-3 •25 •42-38 2073-5 -25 •64-38 2763-7 -25 186-38 3553-0 •50 I I 00 12-4 •50 33-00 1 1 1-4 •50 55-00 309-4 •50 77.00 606-4 •50 99 -00 1002-3 •50 121 *00 •497-3 •50 •43-00 2091-3 -50 165 -00 2784-3 -50 187-00 3576-3 75 1 1 *6i 13-8 75 33-60 115-5 •75 55-60 316-2 •75 77-60 615-9 •75 99-60 1014-8 •75 121 -60 1512-5 •75 •43-60 2109*2 -75 165-60 2805-0 ‘75 187-60 3599-7 5 00 12*22 15-3 14-00 34-22 119-8 23-00 56-22 323-3 32-00 78-22 625-8 41-00 100*22 1027-2 50-00 £22*22 1527-8 59-00 144-22 2127-2 68 00 166-22 2821^-7 77 -w 188-22 7 , 62 V 2 •25 12-83 16-8 •25 34-83 124*1 •25 56-83 330-3 •25 78-83 635-5 •25 100-83 1039-8 •25 122-83 1543-1 •25 •44-83 2145-3 -25 166-83 2846-5 -25 188-83 3646-8 •50 1 3 '44 I8-S •50 35-44 128-5 •50 57-44 337-5 •50 79-44 645-5 •50 101 *44 1052-4 •50 123-44 1558-5 •50 •45-44 2163-4 -50 •67-44 2867-4 -50 •89-44 3670-4 1 4 '05 20*2 •75 36-05 132-9 •75 58-05 344-6 •75 80-05 655-3 •75 £02*05 1065 -2 •75 124-05 1574-0 •75 146-05 2181 -7 -75 1 68 05 2888-4 ■75 •90-05 3694-1 6 00 14-66 22*0 15-00 36-66 137-5 24 00 58-66 352-0 33-00 80-67 665-5 42-00 102-66 1078-0 51-00 124-66 1589-5 60 -00 146-66 2200*0 69-00 168-66 2909-5 78-00 190-66 3718-0 •25 15-27 23-9 •25 37-27 142*1 •25 59-27 359-3 •25 81 -27 675-6 •25 103-27 1090-8 •25 125-27 1605-1 •25 •47-27 2218-3 -25 169-27 2030-6 ■25 iqi *27 3741-8 ■50 15-88 25-8 •50 37-88 146-8 •50 59-88 366-8 •50 81-88 685-7 •50 103-88 1103-8 •50 125-88 1620-8 ' -50 147-88 2236-8 -50 169-88 295^-8 "SO 191-88 3765-7 75 16-49 27-9 •75 38-49 151-6 •75 60-49 374-3 •75 82-49 696-1 •75 104-49 1116-8 •75 126-49 1636-6 •75 •48-49 2255-3 -75 170-49 2973-0 -75 •92-49 3789-8 7 '00 17-11 29-9 16 -00 39-11 •56-4 25-00 6i-ii 381-9 3400 83-11 706-5 43-00 105-11 1130-0 52-00 127-11 1652-5 61 00 •49-u 2274*0 70-00 17111 2994-4 79-00 •93-u 3814-0 •25 17-72 32-1 •25 39-72 161 -4 •25 61 -72 389-6 •25 83-72 7 i 6 '& •25 105-72 1143-1 •25 127-72 1668-3 •25 •49-72 2292-6 -25 171-72 3015-8 -25 •93-72 3838-0 •50 • 8-33 34-4 •50 40-33 166-4 •50 62-33 397-4 •50 84-33 727-4 •50 106-32 1156-4 •50 128-33 1684-3 •50 •50-33 23^^-3 -50 •72-33 3037-3 -50 •94-33 3862-3 75 18-94 36-7 •75 40-94 171-4 62-94 405-1 •75 84-94 737-9 •75 106-94 1169-7 •75 128-94 1700-4 •75 • 50-94 2330-2 -75 172-94 3058-9 "75 194-94 3886-6 8 00 19-55 39-1 17-00 41-56 176-6 20*00 63-55 413-0 3500 85-55 748-6 44-00 107-55 1183-0 53-00 129-55 1716-5 62 00 • 5^-55 2349-0 71-00 •73-55 3080-5 80-00 195-55 3911-0 •25 20-16 41 -6 •25 42-17 181 -9 •25 64-16 421 *0 •25 86-16 759-3 •25 108-16 1 196-6 •25 130-16 1732-8 •25 152-16 2368-0 -25 174-^6 3102-3 •50 20-77 44-1 •50 42-78 187-1 •50 64-77 429-1 •50 86-77 770-1 •50 108-77 1210*1 •50 130-77 1749-1 •50 •52-77 2387-^ -50 •74-77 3124-0 75 21-38 46-8 •75 43-39 192-5 •75 65-38 437-2 •75 87-38 781 -0 •75 109-38 1223-8 •75 131-38 •765-5 '75 •53-38 2406 -2 -75 175-38 3146-0 To find the cuhical content of a Cutting or Embankment of any length, add together the figures in Columns B corresponding to the depths of the Cutting or heights of the Embankment for each chain length, with the proportions due to fractions of a chain, as given beloM', and multiply their sum by the width of formation in feet. Adopt the same course with regard to Columns CC, multiplying the sum by the proper multiplier for the slope or slopes. Add together the two results. If the two slopes differ in inclination, the figures for each must be added separately, and each sum multiplied by its own multiplier, the two results being then added to that obtained from Column B. For portions less than 66 ft. in length, the result requires modifying as follows Move the decimal point ttvo figures to the left, and multiply by the length in links. Note. — In sidelong ground, a horizontal equating line must be drawn to give the height. N.B. — The table can be used for compound slopes. So - C-t IrTHWORK tables. UCK, M. Inst. C. E. 100 Feet Chain. 1 Column A contains the Depths of Cutting or Heights of Embankment. j ,, B „ Cubical Content of the Central Part, one foot in width, for loo feet in length. ‘ 1 „ CC „ „ „ Two slopes I to I, „ „ „ „ I To find the total content of Cutting or Embankment loo feet in length; multiply B by the width of formation in feet; multi] 5 ly CC by the proper multiplier given below ; add together the two results. Multipliers. Multipliers. Multipliers. Multipliers. Multipliers. Multipliers. Multipliers. Multipliei One Two One Two One Two One Two One Two One Two One Two One Slope. Slope.s. Slope. Slopes. Slope. Slopes. Slope. Slopes. Slope. Slopes. Slope. Slopes. Slope. Slopes. Slope. i to I 0*5 1 I to I 2 4 if to I 3 '5 7 2^ to I 5 lO i to 1 0*25 0-5 5 to I 175 3 'S If to I 3-25 6-5 2% to I 4*75 i to I I 2 H to 1 2*5 5 2 •to I 4 8 2 j to I 5 -5 I I i to I 075 IS 4 to I 2-25 4‘5 l| to I 375 7-5 2 | to I 5 -25 1 to I I'S 3 to I 3 6 2 ^ to I 4 'S 9 3 to I 6 12 i to I i ;25 2'5 If to I 27s 5'5 2 j to I 4'25 8-5 2 I to I 575 &c., &c. A B CC A B CC A B CC A B CC A B CC A B CC A B CC A B CC A B CC Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Ft. Cubic Cubic Yards. Yards. Yards. Yards. yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. O’OO 0*00 0*00 9-00 33^33 75-0 1 8 -00 66-66 300-0 27 00 100*00 675-0 36-00 133-33 1 200 *0 45-00 166-66 1875-0 54-00 200*00 2700-0 6.3-00 233-33 3675-0 72-00 266-66 4800-0 •25 0*92 0-06 •25 34-26 79-2 •25 67-59 308-3 •25 100*92 687-4 •25 134-26 1216-7 •25 167-59 1895-9 •25 200*92 2725-0 •25 234-26 3704-2 •25 267-59 4833-3 •50 1-85 0-23 •50 35-18 83-4 •50 68-51 316-8 •50 101-85 700-3 •50 135-18 1233-5 •50 168-51 1916-8 •50 201-85 2750-1 •50 235-18 3733-5 •50 268-51 4866-8 •75 277 0-51 •75 36-11 88-0 •75 69-44 325-4 •75 102-76 712-9 •75 136-11 1250-5 •75 169-44 <938-0 •75 202-77 2775-5 •75 236-11 3762-9 •75 269-44 4 QOO *4 I‘00 3 '69 0*92 10-00 37-03 92-5 19-00 70-36 334-2 28 00 103-70 725-9 37 -00 137-03 1267-6 46 00 170-36 ' 959-1 55 -00 203 -69 2800-9 64 00 237 03 3792-4 73-00 270-36 4934-1 •25 4 62 i '45 •25 37-95 97-2 •25 71-29 343-2 •25 104-62 738-8 •25 137-95 1284-7 •25 171-29 1980-6 •25 204-62 2826-4 •25 237-95 3822-1 •25 271-20 4968-0 •50 5-55 2-08 •50 38-88 102*1 •50 72-21 3 S 2 -I •50 105-54 752-1 •50 138-88 1302-1 •50 172-21 2002*1 •50 205-54 2852-0 •50 238-88 3852-0 ■50 272*22 5002 0 •75 6-47 2-83 •75 39-80 106-9 •75 73-14 361-2 •75 106 -47 765-2 •75 139-80 1319-5 •75 173-14 2023-6 •75 206 -47 2877-7 • 7,5 239-80 3882-0 •75 273-14 5036-1 200 7 ^ 4 i 3 ‘69 II -00 4073 I 12*1 20 00 74-08 370-3 29 00 107-41 778-8 38-00 140-74 1337-1 47-00 174 06 2045-4 56-00 207-40 2903-7 65-00 240-74 J9I2*0 74-00 274-06 5070-3 •25 8-33 4-68 •25 41 -66 1 17-1 •25 75-00 379-5 •25 108-33 791-9 •25 141 -66 1354-7 •25 174-98 2067-1 •25 208-32 2 Q 2 q *7 •25 241 -66 3942-1 •25 274-98 5104-5 •50 926 579 50 42-57 122*4 •50 75-92 389-0 •50 109-26 805-7 •50 142-59 1372-4 •50 175-92 2089-1 •50 209-26 2955-7 •50 242-57 3972-4 ■50 275-92 5139-1 •75 io'i8 6-98 •75 43-50 127-8 "75 76-85 398-6 •75 II0-I8 819-4 •75 143-51 1390-3 •75 176-85 2 1 1 1 *0 •75 210-17 2982-0 •75 243-50 4002 -7 •75 276-8t 5173-6 3 00 II*II 8-32 1 2 00 44 "44 133-3 21 00 77-77 408-3 30 00 urn 833-2 39-00 144-44 1408-3 48-00 177-77 2133-3 57-00 21 I *10 3008 -0 66-00 244-44 4033-4 75-00 277-77 (5208-2 •25 12-03 9'77 •25 45-36 138-9 •25 78-69 418-0 •25 112-03 847-1 •25 145-36 1426-4 •25 178-70 2155-6 •25 2 1 2 *03 3034-7 •25 245-36 4063-8 ■25 278-69 ^246-1 •50 12-94 II '33 •50 46-29 144-6 •50 79-62 428-0 •50 112-95 86 1 -4 •50 146-29 1444-7 •50 179-62 2177-9 •50 212-96 3061 -2 •50 246-29 4094-5 •50 279-62 5277-8 •75 13-88 13-01 •75 47-21 150-4 •75 80-55 438-0 •75 113-88 875-3 •75 147-21 1463-0 •75 180-55 2200*4 •75 213-88 3087-9 •75 247-21 4125-4 •75 280-54 5312-8 ' 4'oo 14-80 14-82 13 00 48-14 156-5 22 00 81 -48 448-1 31-00 1 14-80 889-8 40-00 148-14 1481 -4 49-00 181-47 2223*0 58-00 214-81 3114-7 67-00 248-14 4156-4 76 00 281 -48 5348-0 •25 i 5'73 1 6 -66 •25 49-06 162-6 •25 82-39 458-3 •25 115-74 904-2 •25 149-06 1500-0 •25 182-39 2245-9 •25 215-72 3141-7 •25 249-06 4187-4 •25 282-39 5383-3 •50 l6-6b 18-7 •50 ;o-oo 168-8 •50 83-33 468 *8 •50 u6’66 918-8 •50 150*00 1518-6 •50 183-33 2268-6 •50 216-66 3168-6 •50 240-00 4218-6 •50 283-33 5418-6 •75 > 7'59 20*9 •75 50-91 175-0 •75 84-24 479-1 •75 117-58 933-2 •75 150-91 1537-6 •75 184-24 2291 -6 •75 217-58 3195-7 •75 250-91 4250-0 •75 284-24 5454-1 5^00 18-52 23-1 14-00 51-85 181-5 23 00 85-18 489-8 32 00 1 18-51 948-2 41-00 151-85 1556-4 50-00 185-18 2314-8 59 00 218-51 3223-0 68 00 251-85 4281 -4 77-00 285-18 5489-7 •25 19-44 25 '4 •25 52-77 i88'o •25 86-11 500-4 •25 119-44 962-9 •25 152-77 1575-5 •25 18611 2338-0 •25 219-44 3250-4 •25 252-77 4312-9 •25 286-11 5525-5 •50 20-36 28-0 •50 53-70 194-7 •50 87-03 511-4 •50 120-36 978-0 •50 153-69 1594-5 •50 187-03 2361-3 •50 220-36 3277-9 •50 253-69 4344’5 •50 287-03 5561-2 •75 21 *29 30-6 •75 54-62 201 -4 •75 87-95 522*1 •75 I 2 I *29 992-9 •75 154-62 1613-9 •75 187-95 2384-8 •75 221 -29 3305-6 •75 254-62 4376-4 •75 287-96 '5597-1 6-00 22*21 33'3 15-00 55-55 208-4 24-00 88-88 533-3 33 " 00 122-23 1008-3 42 00 155-54 1633-3 51-00 188-88 2408-3 60 00 222*21 3333-3 69-00 255-55 4408-3 78-00 288-88 5633-3 •25 23^14 36-2 •25 56-47 215-3 •25 89-80 544 " 4 •25 123-14 1023-6 •25 156-47 1652-7 •25 189-81 2431-9 •25 223-14 3361-1 •25 256-47 4440-3 •25 289-80 5669-4 •50 24-06 39 '0 •50 57-39 222*4 •50 90-73 555-7 •50 124-06 1038-9 •50 157-39 1672-4 •50 190-73 2455-7 •50 224-06 3389-1 •50 257-39 4472-4 •50 290-73 5705-6 •75 24-98 42*2 •75 58-32 229-7 •75 91-65 567-1 •75 124-98 1054-7 •75 158-32 1692-1 •75 191-65 2479-7 •75 224 -98 3417-1 •75 258-32 4504-5 •75 291-65 5742-1 7 '00 25-92 45^3 16 00 59-26 236-9 25-00 92-59 578-6 34-00 125*92 1070-4 ^300 159-26 17 [2*1 52-00 192-59 2503-8 61 00 225-92 3445-4 70-00 259-26 4537-0 79-00 292-59 5778-8 •25 26-85 48 -6 •25 60-18 244-5 •25 93-51 590-3 •25 126-85 1086-1 •25 160-1S 1731-9 •25 193-52 2527-7 •25 226-85 3473-6 •25 260-18 4569-4 ■25 293-51 5815-2 •50 27-77 52-1 •50 61-11 252-1 •50 94 '44 602- 1 •50 127-77 I I 02 'I •50 161-09 1752-1 •50 194-44 2551-9 ■50 227-77 3502-0 •50 261-11 4602 -0 ■50 294-44 5852-0 •75 28-69 55-6 •75 62-03 259-7 •75 95-36 613-8 •75 128-70 1 1 18-0 •75 1 62 -04 1772-3 ■75 195-36 2576-3 •75 228-69 3530-6 •75 262-04 4634-7 •75 295-33 5888-8 8-00 29-62 59-2 17-00 62-97 267-6 26-00 96-29 625-7 35-00 129-62 1 134-2 44-00 162-95 1792-4 53-00 iq6-2Q 2600 -8 62 00 229-62 3559-1 71 00 262-95 4667-4 80-00' 296-29 5925-9 •25 30-54 63-0 •25 63-89 275-6 •25 97-21 637-9 •25 130-55 1150-4 •25 163-88 1813-0 •25 197-21 2625-4 •25 230-54 3587-9 •25 264-88 4700-4 •50 31 '46 66 8 •50 64-82 283-5 •50 98-14 650-1 •50 131-47 1166-8 •50 164-80 1833-5 •50 198-13 2650-1 •50 231-47 3616-8 •50 264-80 4733-3 •75 32-39 70-9 •75 65-74 291-6 •75 99 -06 662-4 •75 132-39 1183-3 •75 165-74 1854-2 •75 199-06 2675-0 ■75 232-39 3645-8 •75 265-73 4766-7 To find the cubical content of a Cutting or Embankment of any length, add together the figures in Columns B corresponding to the depths of the Cutting or heights of the Embankment for each lOO ft. length, with the proportions due to fractions of loo ft. as given below, and multiply their sum by the width of formation in feet. Adopt the same course with regard to Columns CC, multiplying the sum by the proper multiplier for the slope or slopes. Add together the two results. If the two slopes differ in inclination, the figures for each must be added separately, and each sum multiplied by its own multiplier, the two results being then added to that obtained from Column B. For portions less than too ft. in length, the result requires modifying as follows: — Move the decimal point two figures to the left, and multiply by the length in feet. Note. — In sidelong ground, a horizontal equating line must be drawn to give the height, N,B, — The table can be used for compound slopes. * 00 (!!) 00 < HANDY GENERAL \ By J. H. WATSOI 1 r Column A contains the Depths of Cutting or Heights of Embankment. ,, B „ Cubical Content of the Central Part, one foot in width for one Chain in length (66 feet). » CC „ „ „ Two slopes I to I, „ „ „ I'o find the total content of Cutting or Embankment one chain in length; multiply B by the width of formation in feet; multiply CC by the proper multiplier given below ; add together the two results. 1 Multipliers. Multipi.iers. One Two One Two Slope. Slopes. Slope. Slopes. 1 to I o'5 I I to I 2 4 A to I I 2 li to I 2'5 5 1 to I I'S 3 to I 3 6 Multipliers. Multipliers. One Two One Two Slope. Slopes. Slope. Slopes. to I 3 '5 7 2 g to I 5 lO 2 to I 4 8 2 ^ to I 5 '5 1 1 2 ^ to I 4'5 9 3 lo ' 6 12 &C., Multipliers. Multipuers. One Two One Two Slope. Slopes. Slope. Slopes i to I 0'25 0-5 i to I 175 3'5 i to I 075 I'S Is to 1 2-25 4-5 i to I 1-25 2’5 Ig to I 275 5’5 &c. Multipliers. Multipliers. One Two One Two Slope. Slopes. Slope. Slopes. ig to I 3-25 6-5 2 j to I 475 9‘5 ij to I 375 T5 2 | to I 5 -25 io'5 to I 4'25 8-5 2 j to I 575 II-5 A B CC A B CC A B CC A B CC A B CC A B CC A B CC A B CC A B CC Ft. Cubic Cubic Ff Cubic Cubic Ft Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic Ft. Ft. — \ ards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards. Yards, Yards. Yards. Yards. Yards. Yards Yards. Yards. Yards 0 00 0*00 0*00 9-00 22*00 49-5 18 00 44 *00 198-0 27-00 66-00 445-5 36 00 88-00 792-0 45-00 1 10*00 1237-5 54-00 132*00 1782-0 63-00 154-00 2425-5 72-00 176-00 3168- •25 o‘6i 0*04 •25 22-61 52-3 •25 44-61 203-5 •25 66 6 1 453-7 •25 88-61 803-0 •25 110-61 1251-3 •25 ^2-61 1798-5 •25 154-61 2444-8 -25 176-61 3 ' 9 o-' •50 I *22 0-15 •50 23*22 55-1 •50 45-22 209*1 •50 67-22 462-2 •50 89-22 814-1 •50 111*22 1265-1 •50 133-22 1815-1 •50 155-22 2464-1 -50 177*22 3212- •75 1-83 0-34 •75 23-83 58-1 •75 45-83 214-8 •75 67-83 470-5 •75 89-83 825-3 •75 111-83 1279-1 •75 133-83 1831-8 •75 155-83 2483-5 •75 '77-83 3234 -> I 00 2 '44 o ' 6 i 10-00 24-44 61*1 19 00 46-44 220-6 28 00 68-44 479-1 37-00 90-44 836-6 46-00 112-44 1293-0 55-00 134-44 1848-6 64 00 156-44 2503-0 73-00 '78-44 3256-t •25 3-05 0-96 •25 25-05 64-2 •25 47-05 226-5 •25 69-05 487-6 •25 91-05 847-9 •25 113-05 1307-2 •25 135-05 1865-4 -25 157-05 2522-6 -25 179-05 3278- •50 3-66 1-37 •50 25-66 67-4 •50 47-66 232-4 •50 69-66 496-4 •SO 91 -66 859-4 •50 113-66 1321-3 •SO 135-66 1882-3 •50 157-66 2542-3 -50 129-66 3301- •75 4-27 I -87 •75 26-27 70-6 •75 48-27 238-4 •75 70-27 505-0 •75 92-27 870-9 •75 114-27 1335-6 •75 136-27 1899-3 •75 158-27 2562-1 •75 180-27 3323-. 200 4-89 2-44 1 1 -00 26-88 74-0 20-00 48-89 244-4 29 00 70-89 514-0 38 -00 92-89 882-5 47-00 1 14-88 1350-0 56-00 136-89 1916-4 65-00 158-89 2581-9 74-00 180-88 3346-. •25 5-50 3-09 •25 27-50 77-3 •25 49-50 250-5 •25 71-50 522-7 •25 93-50 894-1 •25 115-50 1364-3 •25 137-50 1933-6 •25 159-50 2601 -8 -25 181-50 3369 -t •50 6*11 3-82 •50 28-11 80-8 •50 50-11 256-8 •50 72*1 I 531-8 •50 94-11 905-8 •50 116-11 1378-8 -50 138-11 1950-8 •50 160-11 2621-8 -50 182-11 3391-' •75 672 4-61 •75 28-71 84-4 •75 50-72 263-1 •75 72-72 540-8 •75 94-72 917-6 •75 1 16-72 1393-3 •75 138-71 1968-1 •75 160-71 2641 -8 •75 182-72 34'4-( 3 -00 7-33 5-49 12-00 29-33 88-0 21 00 51-33 269-5 30-00 73-33 549-9 39-00 95-33 929-5 48-00 117-33 1408-0 57-00 139-33 '985-5 66-00 161-33 2662-0 75-00 183-33 3437 •( •25 7 '94 6-45 •25 29-94 91-7 •25 51-94 275-9 •25 73-94 559-1 •25 95 '94 941-4 •25 117-94 1422-7 •25 139-94 2002 *9 •25 161-94 2682-1 •25 183-94 3462 -i •50 8-54 7-48 •50 30-55 95-5 •50 52-55 282-5 •50 74'55 568-5 •50 96-55 953-5 •50 118-55 1437-4 •50 140-55 2020*4 •50 162-55 2702-4 •50 '84-55 3483 •75 9 'i6 8-59 •75 31-16 993 •75 53-16 289-1 •75 75-16 577-7 •75 97-16 965-6 •75 119-16 1452-3 •75 141 -16 2038-0 •75 163-16 2722-8 •75 185-16 3506 4 00 977 9-78 13-00 31-77 1033 22-00 53-78 295-8 31-00 75 '77 587-3 40-00 97-77 977'7 49-00 119-77 1467-2 58-00 141-78 2055-7 67-00 163-77 2743-2 76-00 185-77 3529 •25 10-38 1 1 -00 •25 32-38 107-3 •25 54-38 302-5 •25 76-38 596-7 •25 98-38 990*0 •25 120-38 1482-3 -25 142-38 2073-5 •25 164-38 2763-7 •25 186-38 3553 -i •50 1 1 *oo 12*4 •50 33-00 1 1 1 *4 •50 55-00 309-4 •50 77.00 606-4 •50 99*00 1002-3 •50 121*00 1497-3 •50 143-00 2091-3 •50 165 -00 2784-3 SO 18700 3576-. •75 ii'6i 13-8 •75 33-60 115-5 •75 55-60 316-2 •75 77-60 615-9 •75 99-60 1014-8 •75 121-60 1512-5 -75 143-60 2109*2 •75 165-60 2805 -0 •75 187-60 3599-; 5^00 12*22 15-3 14-00 34-22 119-8 23 00 56-22 323-3 32-00 78-22 625-8 41 00 100*^ 1027-2 50-00 122*22 1527-8 59-00 144-22 2127*2 68 00 166-22 28215-7 77-00 188-22 4624-; •25 12-83 16-8 •25 34-83 124*1 •25 56-83 330-3 •25 78-83 635-5 •25 100-83 1039-8 •25 122-83 1543-1 -25 144-83 2145-3 •25 166-83 2846-5 •25 188-83 3646-! •50 13^44 I8-S •50 35-44 128-5 •50 57-44 337-5 •50 79-44 645-5 •50 loi *44 1052-4 •50 123-44 1558-5 •50 145-44 2163-4 •50 167-44 2867-4 •50 189-44 3670-. 1 4^05 20*2 •75 36-05 132-9 •75 58-05 344-6 •75 80-05 655-3 •75 102*05 1065-2 •75 124-05 1574-0 •75 146-05 2181 -7 •75 168 05 2888-4 •75 190-05 3694-1 6 00 14-66 22*0 15-00 36-66 137-5 24-00 58-66 352-0 33-00 80-67 665-5 42 00 102-66 1078-0 51-00 124-66 1589-5 60-00 146-66 2200*0 69-00 168-66 2909-5 78 00 190-66 3718-C •25 15^27 23 '9 •25 37-27 142*1 •25 59-27 359-3 •25 81 -27 675-6 •25 103-27 1090-8 •25 125-27 1605-1 •25 147-27 2218-3 •25 169-27 2930-6 -25 191-27 3741-5 •50 15-88 25-8 •50 37-88 146-8 •50 59-88 366-8 •50 81 *i 5 J$ 685-7 •50 103-88 1103-8 •50 125-88 1620-8 ' -50 147-88 2236-8 •50 169-88 2951-8 -50 191 -88 3765-; •75 16-49 27-9 •75 38-49 151-6 •75 60-49 374-3 •75 82-49 696-1 •75 104-49 1116-8 •75 126-49 1636-6 •75 148-49 2255-3 •75 170-49 2973-0 -75 192-49 3789-5 7 '00 17-11 29-9 16-00 39-11 156-4 25-00 61 -1 1 381-9 34-00 83-11 706-5 43-00 105-11 1130-0 52-00 127-11 1652-5 61-00 149-11 2274*0 70-00 171-11 2994-4 79 00 193-" 3814-c •25 17-72 32-1 •25 39-72 161-4 •25 61 -72 389-6 -25 83-72 716-8 •25 105-72 1143-1 •25 127-72 1668-3 -25 149-72 2292-6 •25 171-72 3015-8 •25 '93-72 3838 -c •50 18-33 34 ’4 •50 40-33 166-4 •50 62-33 397-4 •50 84-33 727-4 •50 106-32 1156-4 •50 128-33 1684-3 •50 150-33 2311-3 •50 172-33 3037-3 SO 194-33 3862-^ •75 18-94 36-7 •75 40-94 171-4 •75 62-94 405-1 •75 84-94 737-9 •75 106-94 1169-7 •75 128-94 1700-4 •75 150-94 2330-2 •75 172-94 3058-9 • 7 S 194-94 3886 •( 8 00 19-55 39-1 17-00 41-56 176-6 26 00 63-55 413-0 3500 85-55 748-6 44-00 107-55 1183-0 53-00 129-55 1716-5 62 00 151-55 2349-0 71 00 173-55 3080-5 8 o'oo 195-55 39 " -c •25 20-16 41-6 •25 42-17 181 -9 •25 64-16 421 *0 •25 86-16 759-3 •25 108-16 1 196-6 •25 130-16 1732-8 •25 152-16 2368-0 •25 174-16 3102-3 •50 20-77 44-1 •50 42-78 187-1 •50 64-77 429-1 •50 86-77 770-1 •50 108-77 1210*1 •50 130-77 1749-1 •50 152-77 2387-1 •50 174-77 3124-0 •75 21-38 46-8 •75 43-39 192-5 •75 65-38 437-2 •75 87-38 781 -0 •75 109-38 1223-8 •75 131-38 1765-5 •75 153-38 2406 -2 •75 175-38 3146-0 To find the cubical content of a Cutting or Embankment of any length, add together the figures in Columns B corresponding to the depths of the Cutting or heights of the Embankment for each chain length, with the proportions due to fractions of a chain, as given below, and multiply their sum by the width of formation in feet. Adopt the same course with regard to Columns CC, multiplying the sum by the proper multiplier for the slope or slopes. Add together the two results. If the two slopes differ in inclination, the figures for each must be added separately, and each sum multiplied by its own multiplier, the two results being then added to that obtained from '> Column B. For portions less than 66 ft. in length, the result requires modifying as follows: — Move the decimal point two figures to the left, and multiply by the length i in links. k Note. — In sidelong ground, a horizontal equating line must be drawn to give the height. '' N.B. — The table can be used for compound slopes. 1 vRTHWORK TABLES. BUCK, M. Inst. C. E. 100 Feet Chain. Column A contains the Depths of Cutting or Heights of Embankment. )) B ,, Cubical Content of the Central Part, one foot in width, for loo feet in length. ^ » CC „ „ „ Two slopes I to I, „ ,, „ „ I’o find the total content of Cutting or Embankment loo feet in length; multiply B by the width of formation in feet; multiply CC by the proper multiplier given below ; add together the two results. Multipliers. Multipliers. One Two Slope. Slopes to I 0-5 I I to 1 to I 1 2 li to a to I 1-5 3 li to A B CC A B Cubic Cubic Cubic Yards. Yards. Yards. O’OO 0*00 0*00 9-00 33-33 •25 0*92 o-o6 •25 34-26 •50 • •85 0-23 •50 35-18 •75 2-77 0-51 75 36-11 1-00 3-69 0*92 10-00 37-03 •25 4-62 1-45 •25 37-95 •50 5-55 2-o8 •50 38-88 •75 6-47 2-83 75 39-80 2-00 7-4t 3-69 II 00 40-73 •25 8-33 4-68 •25 41-66 •50 9 26 5-79 50 42-57 75 ro-i8 6-98 75 43-50 3-00 II*II 8-32 12-00 44-44 •25 • 2-03 9-77 •25 45-36 •50 •2-94 •1-33 •50 46-29 •75 • 3-88 • 301 75 47-21 4 00 14-80 14-82 13 00 48-14 •25 •5-73 1 6 -66 •25 49-06 •50 16-66 i8-7 •50 50*00 75 •7-59 20*9 75 50-91 5'oo 18-52 23-1 14-00 5 ••85 •25 19-44 25-4 •25 52-77 •50 20-36 28-0 •50 53-70 •75 21 *29 30-6 75 54-62 6 '00 22*21 33-3 1500 55-55 •25 23-14 36-2 •25 56-47 •50 24-06 39-0 •50 5 7-, 39 75 24-98 42*2 75 58-32 7-00 25-92 45-3 16 00 59-26 •25 26-85 48-6 •25 6o-i8 •50 27-77 52-1 •50 61 -II •75 28-69 55-6 •75 62-03 8-00 29-62 59-2 17-00 62-97 •25 30-54 63-0 •25 63-89 •50 3t-46 66-8 •50 64-82 75 32-39 70-9 75 65-74 One Slope. 2 2*5 3 Two Slopes. 4 5 6 Multipliers. if to I 2 -to I 2| to I One Slope. 3 -5 4 4'5 Two Slopes. 7 8 9 2j to I 2j to I 3 to I Multipliers. One Slope. 5 5*5 6 Two Slopes. lO I I 12 Multipliers. k to 1 i to I i to i One Slope. 0-25 075 i;2S Two Slopes. o'S «s 2-5 Multipliers. 2 to I ij to I l| to I One Slope. 175 2 * 2 S 275 T'wo Slopes. 3'5 4'5 S'S &c., &c. Multipliers. Ig to I to I 2| to I One Slope. 3- 25 375 4- 25 Two Slopes. 6- 5 7- 5 8- 5 2I to I 2| to I 2I to I Multipliers O ne ■Slope. 475 5-25 575 Two Slopes. 9’5 10-5 11-5 B CC A B Cubic Cubic Cubic Yard.s. Yards. Yards. •33-33 1200*0 45-00 166-66 134-26 1216-7 •25 •67-59 •35-18 •233-5 •50 168-51 136-11 •250-5 IS • 69-44 •37-03 1267-6 46 00 170-36 •37-95 • 284-7 ■25 171-29 138-88 1302-1 •50 172-21 •39-80 •3'9-5 •75 •73-^4 140-^ •337-^ 47-00 174 06 141-66 •354-7 •25 • 74-98 •42-59 •372-4 •50 •75-92 •43-5I • 390-3 •75 • 76-85 •44-44 •408-3 48-00 •77-77 •45-36 1426-4 •25 178-70 146-29 •444-7 •50 179-62 • 47-21 1463-0 •75 •80-55 148-14 1481 -4 49 -00 • 81-47 149-06 1500-0 •25 182-39 150*00 1518-6 ■50 •83-33 • 5o-9^ •537-6 •75 184-24 •5^-85 •556-4 50 00 • 85-18 • 52-77 •575-5 •25 1861 1 •53-69 •594-5 •50 187-03 154-62 1613-9 •75 •87-95 •55-54 •633-3 51-00 188-88 •56-47 1652-7 •25 189-81 •57-39 1672-4 •50 • 90-73 •58-32 1692-1 ■75 •9^-65 159-26 1712-1 52-00 • 92-59 i6o-i8 •73^-9 ■25 •93-52 161-09 1752-1 •50 • 94-44 162-04 •772-3 •75 • 95-36 • 62-95 • 792-4 53-00 196-29 163-88 1813-0 •25 197-21 164-80 •833-5 •50 198-13 •65-74 1854-2 •75 199-06 !:■ CC Cubic Yards. 75*0 79*2 S^3‘4 88-0 92-5 97 '2 I02'I 1 06 9 I I2'I ii 7 ‘i I22'4 127-8 i33'3 138-9 144-6 150-4 156-5 162-6 168-8 175-0 181 -5 1880 1947 201 -4 208-4 215-3 222-4 229-7 236-9 244-5 252-1 259-7 267 -6 275-6 283-5 291-6 B Cubic Yards. 66*66 67- 59 68- 51 7569-44 19-0070-36 •2571-29 •5072-21 75 20 00 Ft. i8-oo 25 50 73- 14 74- 08 •2575-00 •50 75 21-00 •25 •50 75 22 00 •25 •50 23 00 •25 •50 ■75 24 00 •25 •50 25 00 •25 •50 •75 26-00 CC 75- 92 76- 85 77- 77 78- 69 79- 62 80- 55 81- 48 82- 39 83- 33 -7584-24 85- 18 86 - 11 87-03 87- 95 88 - 88 89- 80 90- 73 -7591-65 92- 59 93- 51 94- 44 95- 36 96- 29 ■2597-21 -5098-14 -7599-06 Cubic Yards. 300*0 308-3 316-8 325-4 334-2 343-2 352-1 361-2 370-3 379-5 389-0 398-6 408-3 418-0 428-0 438-0 448-1 458-3 468-8 479-1 489 -8 500-4 511-4 522-1 533-3 544-4 555 7 567-1 578-6 590-3 602 -1 613-8 625-7 637-9 650-1 662-4 Ft. 27-00 •25 •50 •75 28 00 •25 •50 75 29 00 •25 •50 •75 30 00 •25 •50 •75 31 -00 •25 •50 •75 32 00 •25 •50 75 33- 00 •25 •50 •75 3400 •25 •50 75 3500 ■25 •50 •75 B Cubic Yards. 100-00 100- 92 101- 85 102- 76 103- 70 104- 62 105- 54 106 -47 107- 41 108- 33 109- 26 1 10- 1 ” nil 112- 03 112-95 113- 88 1 14- 80 115- 74 1 16- 66 117- 58 118- 51 119- 44 120- 36 121 -29 122- 23 123- 14 124- 06 124- 98 125- 92 126- 85 127- 77 128- 70 129- 62 •30-55 •31-47 •32-39 CC Cubic Yard,s. 675-0 687-4 700-3 712-9 725-9 738-8 752-1 765-2 778-8 791-9 805-7 819-4 833-2 847-1 86 1 -4 875-3 889-8 904-2 918-8 933-2 948-2 962-9 978-0 992-9 1008-3 1023-6 1038-9 054-7 070-4 io86-i 1102-1 iii8-o ••34-2 • •50-4 1166-8 ••83-3 Ft. 36-00 •25 •50 75 75 41 00 •25 •50 •75 42 00 •25 •50 •75 4300 CC Cubic Yards. •875-0 •895-9 1916-8 <938-0 •959-1 1980-6 2002 • I 2023-6 2045-4 2067-1 2089-1 2111-0 2133-3 2155-6 2177-9 2200-4 2223-0 2245-9 2268-6 2291 -6 2361 -3 2384-8 Ft. 54-00 ■25 •50 75 5500 •25 •50 56 - 00 •25 •50 •75 57- 00 ■25 •50 ■75 58 - 00 •25 •50 •75 5900 •25 •50 •75 60 -00 •25 •50 •75 61 00 •25 •50 •75 62 00 •25 •50 •75 Cubic Yards. 200*00 200*92 201- 85 202- 77 203- 69 204- 62 205- 54 206 -47 207 -40 208- 32 209- 26 210- 17 211 -10 212-03 212- 96 213- 88 214- 81 15-72 216- 66 217- 58 218- 51 219- 44 220- 36 221 -29 222-21 223- 14 224- 06 224 -98 225- 92 226- 85 227- 77 228- 69 229- 62 230- 54 23^-47 232-39 CC Cubic Yards. 2700-0 2725-0 2750-1 2775-5 2800-9 2826-4 2852-0 28777 2903-7 2929-7 29557 2982-0 3008 -o 3034-7 3061 -2 3087-9 3^^47 3^4^-7 3168-6 31957 3223-0 3250-4 3277-9 3305-6 3333-3 3361 -I 3389-1 34^7-i 3445 "4 3473-6 3502-0 3530-6 3559-^ 3587-9 3616-8 3645-8 A B CC A B CC Cubic Cubic Cubic Cubic Yards. Yards. Yards. Yards. 63-00 233-33 3675-0 72 00 266-66 4800-0 •25 234-26 3704-2 •25 267-59 4833-3 •50 235-18 3733-5 •50 268-51 4866-8 236-11 3762 '9 •75 269-44 4QOO *4 64 00 237 03 3792-4 73-00 270-36 4934' I •25 237-95 3822-1 •25 271 -2Q 4968-0 •50 238-88 3852-0 •50 272-22 5002*0 •75 239-80 3882-0 •75 273’I4 5036-1 65-00 240-74 39^2-0 74-00 274-06 5070-3 •25 241 -66 3942-1 •25 274-98 5104-5 •50 242-57 3972-4 •50 275-92 5I39I •75 243-50 4002 -7 •75 276-85 5^73'6 66-00 244-44 4033-4 75-00 277-77 5208-2 •25 245-36 4063-8 •25 278-69 5246-1 •50 246-29 4094-5 •50 279-62 5277-8 . 75 247-21 4125-4 •75 280-54 53^2-8 67-00 248-14 4156-4 76-00 281-48 5348-0 •25 249 -06 4^87-4 •25 282-39 5383-3 •50 250-00 4218-6 •50 283-33 5418-6 •75 250-91 4250 0 •75 284-24 5454-1 68 -00 251-85 4281 -4 77-00 285-18 5489-7 •25 252-77 43^2-9 •25 286-11 5525-5 •50 253-69 4344-5 •50 287-03 5561-2 •75 254-62 4376-4 •75 287-96 5597-1 69-00 255-55 4408-3 78 00 288-88 5633-3 •25 256-47 4440-3 •25 289 -80 5669-4 •50 257-39 4472-4 •50 290-73 5705-6 ■75 258-32 4504-5 •75 291 -65 5742-1 70-00 259-26 4537-0 7Q00 292-59 5778-8 •25 260-18 4569-4 •25 293 -5 • 5815-2 •50 26111 4602 -0 •50 294-44 5852-0 •75 262-03 4634-7 •75 295 '33 5888-8 71-00 262-95 4667-4 80 00 296-29 5925-9 •25 263-88 4700-4 •50 264-80 4733-3 75 265-73 4766-7 o nna me cuDicai content ot a Lulling or Lnibankment of any length, add together the figures in Columns B corresponding to the depths of the Cutting or heights of the Embankment for each 100 ft. length, with the proportions clue to fractions of 100 ft. as given, below, and multiply their sum by the width of formation in feet. Adopt the same course with regard to Columns CC, multiplying the sum by the proper multiplier for the slope or slopes. Add together the two results. If the two slopes differ in inclination, the figures for each must be added separately, and each sum multiplied by its own multiplier, the two results being then added to that obtained from Column B. For portions less than 100 ft. in length, the result requires modifying as follows:— Move the decimal point two figures to the left, and multiply by the length f in feet. Note.— I n sidelong ground, a horizontal equating line must be drawn to give the height. N.Bi — The table can be used for compound slopes.