For a two hinged arch having constant EI, the horizontal thrust H at a point (x, y) on the arch, in terms of beam moment M is given by: (E : modulus of elasticity, I - moment of inertia)
1
\(\frac{{\int {My\frac{{dy}}{{dx}}} }}{{\int {{y^3}\frac{{ds}}{{EI}}} }}\)
2
\(\frac{{\int {My\frac{{dy}}{{dx}}} }}{{\int {y\frac{{ds}}{{EI}}} }}\)
3
\(\frac{{\int {M{y^2}\frac{{dy}}{{dx}}} }}{{\int {{y^2}\frac{{ds}}{{EI}}} }}\)
4
\(\frac{{\int {My\frac{{dy}}{{dx}}} }}{{\int {{y^2}\frac{{ds}}{{EI}}} }}\)