Arch Dams Full Load Formula

Equation for calculate arch dams full load is,

H₀ = pr - (pr / D) × 2φ × sin φ × ( t² / 12 × r²)
M₀ = - (pr - H₀) × r × ( 1 - (sin φ / φ))
H_α = pr - (pr - H₀) × cos φ
M_α = r × (pr - H₀) × ((sin φ / φ) - cos φ)

• r - radius to the center line of the arch
• p - normal radial pressure at the center line
• t - horizontal arch thickness
• φ - angle between the crown and abutment radii
• D - lieu of the lengthy right-hand part
• H₀ - Thrust at crown
• M₀ - Moment at crown
• H_α - Thrust at abutments
• M_α - Moment at abutments