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

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
Energy Conservation
E_kin + E_pot = const
W = ΔE
Thermodynamics
ΔU = Q - W
PV = nRT
Wave Physics
v = fλ
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