Accurate, instant civil engineering takeoff tools, material estimators, and multi-unit converters designed for site engineers, quantity surveyors, contractors, and students.
Convert rise and run to slope percentage grade, angle degrees, 1:X ratios, and check ADA ramp compliance.
text{Grade}% = frac{text{Rise}}{text{Run}} times 100; quad theta = arctanleft(frac{text{Rise}}{text{Run}}right); quad L_{slope} = sqrt{text{Rise}^2 + text{Run}^2}
Calculate exact in-situ wet volume, dry volume with 1.54 bulking factor, cement bags, sand, gravel, and water demand.
V_{dry} = 1.54 times V_{wet} times (1 + text{Wastage}%); quad text{Cement Bags} = frac{V_{dry} times text{Ratio}_{c}}{sum text{Ratios}} times frac{1440}{50}
Estimate compacted asphalt hot mix tonnage, bitumen tack coat emulsion, and tipper truck haul loads.
M_{asphalt} = L times W times t_{compacted} times rho_{asphalt}; quad rho_{asphalt} approx 2.35 text{ tonnes/m}^3
Estimate modular or standard brick counts, mortar volume, cement bags, and sand with opening deductions.
N_{bricks} = frac{V_{net}}{(L_b + j)(W_b + j)(H_b + j)}; quad V_{dry_mortar} = 1.33 times (V_{wall} - N times V_{actual})
Calculate usable liquid storage capacity in liters and US gallons with air freeboard and daily autonomy.
V_{usable} = L times W times (H_{total} - H_{freeboard}) times 1000 text{ Liters}; quad text{Autonomy} = frac{V_{usable}}{text{Occupants} times 135}
Calculate reinforcement steel bar weight, cut lengths, laps, scrap wastage, and total metric tonnes.
W_{unit} = frac{D^2}{162.198} text{ kg/m} = frac{D^2}{533.33} text{ lb/ft}; quad W_{total} = W_{unit} times L_{cut} times N_{bars}
Estimate skilled mason man-days, helper ratios, gang crew sizes, and construction project duration.
text{Man-Days} = frac{text{Total Work Quantity}}{text{Standard Daily Output per Worker}}; quad text{Duration (Days)} = leftlceil frac{text{Man-Days}}{text{Crew Headcount}} rightrceil
Calculate theoretical mass of steel plates, round bars, pipes, square hollow sections, and angle profiles.
M = A_{cross} times L times rho_{steel}; quad rho_{steel} = 7850 text{ kg/m}^3
Calculate elastic deflection, maximum bending moment, shear force, and L/250 serviceability limits.
delta_{max} = frac{P L^3}{3 E I} quad (text{Cantilever Point Load}); quad M_{max} = P L; quad delta_{allow} = frac{L}{250}
Estimate wall and ceiling plaster area, wet and dry mortar volume, cement bags, and sand requirements.
V_{wet} = A_{net} times t; quad V_{dry} = 1.33 times V_{wet} times (1 + text{Wastage})
Calculate wall and ceiling paint liters, gallons, primer requirements, and multi-coat surface coverage.
text{Liters} = frac{A_{net} times N_{coats}}{text{Coverage per Liter (m}^2/text{L)}}
Estimate floor and wall tile box counts, cutting wastage, grout weight, and tile adhesive bags.
N_{tiles} = frac{A_{floor}}{L_t times W_t} times (1 + text{Wastage}%); quad text{Boxes} = leftlceil frac{N_{tiles}}{text{Tiles per Box}} rightrceil
Calculate trench/pit in-situ cut volume, loose soil swell expansion, and dump truck haul trips.
V_{bank} = L times W times D; quad V_{loose} = V_{bank} times S_{factor}; quad text{Trips} = leftlceil frac{V_{loose}}{text{Truck Capacity}} rightrceil
Calculate ultimate and safe bearing capacity of strip, square, and circular shallow footings using Terzaghi theory.
q_{ult} = c N_c s_c + gamma D_f N_q + 0.5 gamma B N_gamma s_gamma; quad q_{safe} = frac{q_{ult} - gamma D_f}{FS} + gamma D_f
Evaluate Rankine lateral active earth pressure, overturning safety factor, and sliding stability resistance.
K_a = frac{1 - sinphi}{1 + sinphi}; quad P_a = frac{1}{2} K_a gamma H^2 + K_a q H; quad FS_{OT} = frac{sum M_{resisting}}{sum M_{overturning}} ge 2.0