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Science, provenance & sources +
Arch-load equations
With span L = 30.6 m, rise f = 15.3 m, load per metre w, point load P at a from the left:
W = wL + P
RL = wL/2 + P(L−a)/L
RR = wL/2 + Pa/L
Approximate arch thrust is determined by minimizing the bending residual along a parabolic reference arch:
H ≈ ∫M(x)y(x)dx / ∫y(x)²dx
y(x) = 4fx(L−x)/L²
The independent equilibrium check compares RL + RR against W. The experiment omits 3D effects, self-weight, material stiffness, settlement and joint mechanics.
Evidence confidence
Documented: the crossing, c. 30.6 m span, five principal cast-iron ribs, ornamental circles and ogee frames, and timber-derived joint details. Reconstructed: precise beam profiles, joint spacing, deck layering and terrain slopes. Artistic: tree placement, weathered colour variation, river surface and time-of-day lighting.
Sources
- Historic England — The Iron Bridge, Scheduled Monument 1015325
- English Heritage — History of Iron Bridge
- ASCE — Iron Bridge
- English Heritage — Future Secure for Industrial Icon
Educational reconstruction; details marked as reconstruction are interpretive.