Two Hinge Arch - Parabolic - Support Moved

More Arches

Two Hinge Parabolic Arch on Pin Supports after Support Has Moved

Notation and Units

Metric and Imperial Units

The above arch formulas may be used with both imperial and metric units. As with all calculations care must be taken to keep consistent units throughout with examples of units which should be adopted listed below:


  • FBD = free body diagram
  • BMD = bending moment diagram

  • A, B & C = points of interest on arch
  • E = modulus of elasticity, psi or MPa
  • f = height of arch from supports, in or mm
  • H = horizontal reaction load at bearing point, lbf or N
  • I = second moment of area, in4 or mm4
  • L = span length under consideration, in or mm
  • M = maximum bending moment, or Nmm
  • R = vertical reaction load at bearing point, lbf or N
  • ΔL = horizontal distance moved, in or mm