Three-Hinged Arches - Continuous and Point Loads

Calculator for bending moments and support reactions in three-hinged arches with continuous and point loads

Three-Hinged Arches Analysis

Calculate bending moments and support reactions for three-hinged arches under various loading conditions including:

Continuous uniform loads
Half continuous loads
Horizontal continuous loads
Eccentric point loads

Calculator

Inputs

Continuous load (q) (N/m)

Horizontal distance between supports (L) (m)

Y-coordinate for center hinge (yc) (m)

X-coordinate for point m (xm) (m)

Y-coordinate for point m (ym) (m)

Results

Support reaction R1y-- N

Support reaction R2y-- N

Support reaction R1x-- N

Support reaction R2x-- N

Bending moment Mm-- Nm

Calculator

Inputs

Continuous load (q) (N/m)

Horizontal distance between supports (L) (m)

Y-coordinate for center hinge (yc) (m)

X-coordinate for point m (xm) (m)

Y-coordinate for point m (ym) (m)

Results

Support reaction R1y-- N

Support reaction R2y-- N

Support reaction R1x-- N

Support reaction R2x-- N

Bending moment Mm-- Nm

Calculator

Inputs

Continuous load (q) (N/m)

Horizontal distance between supports (L) (m)

Y-coordinate for center hinge (yc) (m)

X-coordinate for point m (xm) (m)

X-coordinate for point k (xk) (m)

Y-coordinate for point k (yk) (m)

Results

Support reaction R1y-- N

Support reaction R2y-- N

Support reaction R1x-- N

Support reaction R2x-- N

Bending moment Mm-- Nm

Bending moment Mk-- Nm

Calculator

Inputs

Point force (F) (N)

Distance a (from support 1 to load) (m)

Distance b (from load to support 2) (m)

Y-coordinate for center hinge (yc) (m)

X-coordinate for point m (xm) (m)

Y-coordinate for point m (ym) (m)

X-coordinate for point k (xk) (m)

Y-coordinate for point k (yk) (m)

Results

Total span L-- m

Support reaction R1y-- N

Support reaction R2y-- N

Support reaction R1x-- N

Support reaction R2x-- N

Bending moment Mm-- Nm

Bending moment Mk-- Nm