| Cube | side3 |
| Rectangular Prism | side1 * side2 * side3 |
| Sphere | (4/3) * pi * radius3 |
| Ellipsoid | (4/3) * pi * radius1 * radius2 * radius3 |
| Cylinder | pi * radius2 * height |
| Cone | (1/3) * pi * radius2 * height |
| Pyramid Torus | (1/3) * (base area) * height (1/4) * pi2 * (r1 + r2) * (r1 - r2)2 |
| Square | side2 |
| Rectangle | length * width |
| Parallelogram | base * height |
| Triangle | base * height / 2 |
| Regular n-polygon | (1/4) * n * side2 * cot(pi/n) |
| Trapezoid | height * (base1 + base2) / 2 |
| Circle | pi * radius2 |
| Ellipse | pi * radius1 * radius2 |
| Cube (surface) | 6 * side2 |
| Sphere (surface) | 4 * pi * radius2 |
| Cylinder (surface of side) | perimeter of circle * height |
| 2 * pi * radius * height | |
| Cylinder (whole surface) | Areas of top and bottom circles + Area of the side |
| 2(pi * radius2) + 2 * pi * radius * height | |
| Cone (surface) | pi * radius * side |
| Torus (surface) | pi2 * (radius22 - radius12) |
| Square | 4 * side |
| Rectangle | 2 * (length + width) |
| Parallelogram | 2 * (side1 + side2) |
| Triangle | side1 + side2 + side3 |
| Regular n-polygon | n * side |
| Trapezoid | height * (base1 + base2) / 2 |
| Trapezoid | base1 + base2 + height * [csc(theta1) + csc(theta2)] |
| Circle | 2 * pi * radius |
| Ellipse | 4 * radius1 * E(k,pi/2) E(k,pi/2) is the Complete Elliptic Integral of the Second Kind k = (1/radius1) * sqrt(radius12 - radius22) |
| Super Elevation | |||
| Raduis |
| ||
| width of carrirage way (G) |  | ||
| Speed km/h | 80.000 | ||
| Speed m/second | 22.222 | ||
| Slope / meter | 0.05033916 | ||
| slope % | 5.034 | ||
| Raduis | 500.000 | ||
| width of carriage way (G) |
| ||
| Slope / meter | 0.101 | ||
| Speed / m / second | 22.222 | ||
| Speed km / h | 80.000 | ||
Formula For Vertical Curve | ||
| BVC Station | 10+000.000 | |
| BVC Elevation | 900.000 | |
| i1 (grade 1) | 1.000% | |
| i2 (grade 2) | -1.500% | |
| Length of | 300 | |
| vertical curve | ||
| Y1 | 3.750 | |
| K | 4.16667E-05 | |
| Station | Design level | |
| BVC | 10+000.000 | 900.000 |
| 10+025.000 | 900.224 | |
| 10+050.000 | 900.396 | |
| 10+075.000 | 900.516 | |
| 10+100.000 | 900.583 | |
| 10+125.000 | 900.599 | |
| 10+150.000 | 900.563 | |
| 10+175.000 | 900.474 | |
| 10+200.000 | 900.333 | |
| 10+225.000 | 900.141 | |
| 10+250.000 | 899.896 | |
| 10+275.000 | 899.599 | |
| 10+300.000 | 899.250 | |
| 10+325.000 | 898.849 | |
| 10+350.000 | 898.396 | |
| 10+375.000 | 897.891 | |
| 10+400.000 | 897.333 | |
| 10+425.000 | 896.724 | |
| 10+450.000 | 896.063 | |
| 10+475.000 | 895.349 |
| RATE ANALYSIS OF EXPANTION JOINT Download Excel File | |||||||
| Sr No. | Description | Item No. | Unit | Quantity | Rate | Total Amount (Rs.) | Remarks |
| 1 | From AISC Specification | ||||||
| Wt. of 3/8'' plate per sft = 16.38 lbs /sft | |||||||
| Wt. of Angle Iron 2''x 2''x1/4'' = 3.19 lbs/ sft | |||||||
| Wt. of 10'' - 3/8'' dia rod = 0.376 kg/ft | |||||||
| 2 | Expansion Joint / Ft. | ||||||
| Steel plate 3'' x 12'' | 20.15 | kg | 1.86 | 25.10 | 46.64 | Wt.=((3/12*1)*16.38)/2.204 | |
| 2 Nos. Angle Iron 2''x2''x1/4'' | 20.15 | kg | 2.89 | 25.10 | 72.66 | Wt.=2*3.19/2.204 | |
| 2 Nos. 3/8'' dia Steel rods (4000 psi) | 5.34(a) | kg | 0.627 | 53.40 | 33.46 | Wt.=2*0.376*10/12 | |
| Tack weld (Plate & 3/8'' dia rod) | L.S. | 1 | 10.00 | 10.00 | |||
| Sub-Total | 162.76 | ||||||
| Add 10 % | 16.28 | ||||||
| Total | 179.03 | ||||||
| Material | S.NO. | 1 | 1 | 2 | 3 |
| Dia of pipe in inches | 2 | 1½ | 2 | 2 | |
| Thickness of wall in mm | 3 | ||||
| Rate per 100' | 4 | 10,125 | 14,250 | 14,250 | |
| Adustorum 1% | 5 | 101 | 112 | 112 | |
| Wastage 2% | 6 | 203 | 224 | 224 | |
| Specials 20% | 7 | 5,063 | 2,850 | 7,125 | |
| Surface Treatment outer surface with paint | 8 | 450 | 500 | 500 | |
| Total 4+5+6+7+8 | 9 | 15,941 | 17,936 | 22,211 | |
| Contractor,s Profit 10% | 10 | 1,594 | 1,425 | 2,043 | |
| Total | 11 | 17,535 | 19,361 | 24,254 | |
| Labour | No of joints in line | 12 | 5 | 5 | 5 |
| Progress | 13 | 8 | 5 | 5 | |
| Daily labour chargeses | 14 | 1,155 | 1,155 | 1,155 | |
| Cost per joint | 15 | 144 | 231 | 231 | |
| Jointing material+threading, fixing in P.C.C 1:2:4 (P.joint) | 16 | 200 | 250 | 250 | |
| Total(15+16)*12 | 17 | 1,144 | 1,481 | 2,405 | |
| Carriage | 18 | 153 | 153 | 153 | |
| Testing | 19 | 50 | 50 | 50 | |
| Total | 20 | 1,348 | 1,684 | 2,608 | |
| Add 10% Contractor's profit 17+18+19 | 21 | - | - | 261 | |
| Total | 22 | - | - | 261 | |
| RATE | Composite for 100 (11+22) | 23 | 8 | 5 | 5 |
| Labour for per foot20/100 | 24 | - | - | ||
| Composite for per foot 21/100 | 25 | 190 | 0 | 0 | |
| LABOUR | |||||
| Plumber | 1No | 300 | |||
| Coolie | 2 | 300 | |||
| Mason | 1 | 150 | |||
| Painter | 1 | 300 | |||
| Total | 1,050 | ||||
| Add10%Sundr | 105 | ||||
| Total | 1,155 |