If R is the radius corresponding to the center of the strip, then R ± x/4 describes the radius at the center of each metal.Winzer said:Where on Earth do this +-x/4 come from?!
The radius of curvature of a bimetallic strip at T+dT refers to the amount of curvature or bending that occurs in the strip when it is heated to a temperature T and then further heated by a small amount dT.
The radius of curvature is calculated using the formula R = (E1 * t^2 * dT) / (6 * α * t * ∆T), where R is the radius of curvature, E1 is the modulus of elasticity of one of the metals in the strip, t is the thickness of the strip, α is the coefficient of linear expansion of the two metals, and ∆T is the temperature difference between the two metals.
The radius of curvature is affected by the modulus of elasticity, thickness, and coefficient of linear expansion of the two metals in the strip, as well as the temperature difference between the two metals.
The radius of curvature increases with increasing temperature difference, as the greater the temperature difference, the greater the amount of bending that occurs in the strip.
Bimetallic strips are used in thermometers, thermostats, and other devices that measure and respond to temperature changes. Understanding the radius of curvature at different temperatures can help in designing and calibrating these devices for accurate temperature readings.