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Civil Engineering

Civil engineering formulas and calculators for structural, geotechnical, and hydraulic design used in buildings, foundations, and infrastructure. Includes load analysis, soil mechanics, and fluid flow equations.

32Formulas
3Subcategories
Updated Jul 2026

General

Construction Cost Estimate per Area

Cost = Built-up Area * Rate per Area

General

Building Floor Area Ratio (FAR)

FAR = Total Floor Area / Plot Area

General

Plot Area from Length and Width

A = L * W

General

Land Area Unit Conversion (Acres to Square Feet)

Area (sq ft) = Area (acres) * 43,560

General

Fence/Perimeter Length Calculation

P = 2*(L + W)

General

Drainage Pipe Slope

Slope (%) = (Elevation Drop / Pipe Length) * 100

General

Manning's Equation (Open Channel/Pipe Flow)

V = (1/n) * R^(2/3) * S^(1/2)

Geotechnical

Retaining Wall Factor of Safety Against Overturning

FS = Resisting Moment / Overturning Moment

Structural

Beam Deflection (Simply Supported, Center Point Load)

δ = P*L³ / (48*E*I)

Structural

Simple Column Axial Load Capacity

P = 0.4*fck*Ac + 0.67*fy*Asc

Structural

Steel Reinforcement (Rebar) Weight

W = (D² / 162) * L

Geotechnical

Trench/Excavation Volume

V = L * W * D

General

Rainwater Harvesting Potential

V = A * R * C

General

Water Tank Storage Capacity

V = L * W * H

General

Percent Slope to Degrees Conversion

θ = arctan(Slope % / 100)

General

Road/Ramp Gradient Percentage

Gradient (%) = (Rise / Run) * 100

Structural

Roof Pitch (Rise over Run)

Pitch = Rise / Run

Structural

Staircase Rise-to-Run Ratio

2R + T = 600 to 640 mm (comfort rule)

General

Plaster Quantity for a Wall

V = Wall Area * Plaster Thickness

General

Flooring Tile Quantity

N = (Floor Area * (1 + Wastage %)) / Tile Area

General

Paint Quantity Required

Paint (L) = (Wall Area * Number of Coats) / Coverage Rate

General

Number of Bricks for a Wall

N = Wall Volume / (Brick Volume + Mortar Allowance)

General

Cement Bags Required for Concrete

Bags = (Cement Volume * Cement Density) / Bag Weight

General

Concrete Mix Quantity (Cement-Sand-Aggregate)

Material Volume = (Ratio Part / Sum of Ratio Parts) * Total Dry Volume

General

Concrete Volume for a Slab

V = L * W * T

General

Gyroscopic Precession Rate

Ω_p = M / (I * ω_s)

General

Glide Ratio

Glide Ratio = L/D = Horizontal Distance / Altitude Lost

Hydraulics

Manning's Equation

V = (1/n)R^(2/3)S^(1/2)

Geotechnical

Bearing Capacity of Soil

q_u = cN_c + qN_q + 0.5γBN_γ

Structural

Shear Stress in a Beam

τ = VQ / Ib

Structural

Euler's Buckling Load

P_cr = π²EI / (KL)²

Structural

Bending Stress in a Beam

σ = M·y / I