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Structural Engineering

Arch Structure & Thrust Line Calculator

Compute horizontal thrust H and reactions VA, VB for three-hinged arches. Real-time thrust line and section force diagrams.

Parameters
Arch Shape
Load Type
Span L 20.0 m
Rise f 5.0 m
UDL w 10.0 kN/m
Catenary Comparison

Key Formulas

3-hinged arch (UDL):

$$H = \frac{wL^2}{8f}$$ $$V_A = V_B = \frac{wL}{2}$$

Thrust line ordinate:

$$y_{TL}(x) = \frac{M_0(x)}{H}$$
Horiz. Thrust H (kN)
Vertical Reaction VA (kN)
Max Normal Force N (kN)
Max Bending Moment (kN·m)
Arch axis Thrust line