# Thermal expansion/contraction

• kamakari
In summary, The conversation discusses a question about the construction of a concrete sidewalk and its expansion due to changes in temperature, leading to buckling. The question specifically asks for the determination of the vertical displacement of the slabs. The confusion lies in how to solve for the vertical displacement and it is suggested to assume the slabs maintain their integrity and use trigonometry to calculate the height.

#### kamakari

I'm a little bit confused with this question, can any1 pls help? thanks in advance

A concrete sidewalk is constructed between two buildings on a day when the temperature is 25 degree celsius. The sidewalk is consists of two slabs each 3 meters in length and of negligible thickness. As the temperature rises to 38 degree celsius, the slabs expand but no space is provided for thermal expanson. The building do not move so the slabs buckle upward. determine the vertical displacement of the slabs due to buckling effect.

a=12 x 10^-6 / celsius degree

What part is confusing? The expansion or the buckling?

pretty much on how to solve the vertical displacement Y_Y

kamakari said:
pretty much on how to solve the vertical displacement Y_Y
Lacking further details, I would just assume that the slabs maintain their integrity as they expand. Assume the far ends don't move, then figure out how high the middle ends must raise up. Use a bit of trig to find the height.

## 1. What is thermal expansion/contraction?

Thermal expansion/contraction refers to the tendency of materials to expand or contract when their temperature changes.

## 2. What causes thermal expansion/contraction?

Thermal expansion/contraction is caused by the changes in the kinetic energy of molecules within a material as the temperature changes.

## 3. How is thermal expansion/contraction measured?

Thermal expansion/contraction is typically measured using the coefficient of thermal expansion (CTE), which is the change in length or volume per unit change in temperature.

## 4. How does thermal expansion/contraction affect materials?

Thermal expansion/contraction can cause materials to change shape or size, which can have significant impacts on the structural integrity and performance of objects and structures.

## 5. Can thermal expansion/contraction be controlled?

Thermal expansion/contraction can be controlled through the use of materials with low CTE values, designing structures with built-in flexibility, and utilizing expansion joints to allow for movement.

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