Construction industry online calculator
Online calculators and formulas for construction industry calculations
Structural Mechanics
Beam Bending (M = qL²/8)
Bending moment, deflection and bending stress – simply supported beam and cantilever
Second Moment of Area (I = bh³/12)
I_y, W_y for rectangle, circle, I-section, hollow section – parallel axis theorem, cross-section design
Buckling Load (Euler) (F = π²·E·I / (βL)²)
Euler critical load, buckling stress, slenderness ratio and buckling check for columns and struts
Stress Calculation (σ = F/A, τ = F/A)
Tensile, compressive and shear stress, bending stress, torsion, von Mises equivalent stress and code checks to Eurocode
Composite Section (Steiner) (I = Σ(I_i + A_i·d²))
Steiner terms, centroid, T-beam, RC transformed section, steel-concrete composite beam
Hydraulics
Pipe Flow (Darcy-Weisbach) (Δp = λ·(L/D)·ρv²/2)
Pressure loss in pipes, friction factor λ (Colebrook-White), Reynolds number, flow velocity and pipe sizing
Open Channel (Manning-Strickler) (v = kₛₜ·R²Ł³·I½)
Flow velocity, discharge Q, Froude number for rectangular, trapezoidal and circular sections; back-calculate bed slope
Pump Power (P = ρ·g·Q·H / η)
Hydraulic and mechanical power, efficiency, pump head and volume flow for dewatering, water supply and pressure boost applications
Rainfall Runoff (Q = C·i·A)
Surface runoff using rational method, runoff coefficient, rainfall intensity, sewer design, retention basins
Geotechnics
Earth Pressure (e = k·γ·z)
Rankine theory, active and passive pressure, pressure coefficients for retaining walls and basement walls
Slope stability(e = k·γ·z)
Rankine theory, active and passive pressure, pressure coefficients for retaining walls and basement walls
Settlement Calculation (s = (σ/E_s)·h)
Foundation settlement, primary consolidation, differential settlement and building tilt angles
Materials
Concrete Mix (w/c Ratio)
Concrete mix design by w/c ratio, cement content for exposure classes, compressive strength by Abrams' law, sieve curves and consistency classes
Reinforcement Calculation (As = MEd/(fyd·z))
Required longitudinal reinforcement, load capacity from steel area, minimum reinforcement to EC2, crack width control and reinforced concrete design
Surveying
Slope Inclination (i = Δh/L, α)
Gradient calculations for road engineering, drainage and surveying. Grade in percent and ratio, inclination angle, elevation difference and distance
Coordinate Transformation (Forward Intersection, Helmert)
Forward intersection from two stations, Helmert transformation between reference systems, polar to Cartesian coordinate conversion
About Physics
Physics is the science of nature and describes the fundamental laws of the universe. Physical calculations form the foundation for:
- Mechanical Engineering - Force calculations
- Electrical Engineering - Energy conversion
- Automotive Engineering - Motion analysis
- Civil Engineering - Statics
- Aerospace - Aerodynamics
- Medical Technology - Biomechanics
Fundamental Physical Laws
Newton's Laws
F = ma
F₁₂ = -F₂₁
F₁₂ = -F₂₁
Energy Conservation
E_kin + E_pot = const
W = ΔE
W = ΔE
Thermodynamics
ΔU = Q - W
PV = nRT
PV = nRT
Wave Physics
v = fλ
n₁sin θ₁ = n₂sin θ₂
n₁sin θ₁ = n₂sin θ₂
Tip: Use dimensional analysis to verify your calculations.
Force has dimension [MLT⁻²], energy [ML²T⁻²], and power [ML²T⁻³].
Practical Application Examples
Mechanical Engineering
- Force calculation: Component design
- Gears: Transmission ratios
- Efficiency: Performance optimization
Automotive Engineering
- Acceleration: Engine power
- Braking distance: Safety calculations
- Fuel consumption: Energy efficiency
Civil Engineering
- Statics: Structural calculations
- Dynamics: Vibration analysis
- Material testing: Strength analysis
Energy Technology
- Heat engines: Efficiency
- Wind power: Power calculation
- Solar technology: Energy yield
Quick Reference
F = ma
Force
E = ½mv²
Energy
v = s/t
Speed
P = W/t
Power
p = F/A
Pressure
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