In a two hinged parabolic arch an increase in temperature will

Concept-

Two-hinged arch is the statically indeterminate structure to degree one. Usually, the horizontal reaction is treated as the redundant and is evaluated by the method of least work.

In the early part of the nineteenth century, three-hinged arches were commonly used for the long span structures as the analysis of such arches could be done with confidence. However, with the development in structural analysis, for long span structures starting from late nineteenth century engineers adopted two-hinged and hinge less arches.

The equation for horizontal thrust in a 2-hinged parabolic arch is

\(A\; = \;\frac{{\smallint \frac{{{M_x}ydx}}{{EI}}\; + \;\alpha tl}}{{\smallint \frac{{{y^2}dx}}{{E{I_C}}}\; + \;\frac{l}{{AE}}\; + \;k}}\)

Where A = Horizontal thrust

E = Modulus of elasticity of the arch material

I = moment of inertia of Arch cross section

A = Area of cross section of arch

α = Coefficient of thermal expansion

t = Difference of temperature

l = length of arch

So when the temperature increases the temperature difference increases, so the horizontal thrust will also increase.