The coefficient of linear expansion DOES not depend on the length. Each material has a certain value for its coeeficient of linear expansion. The length of the material dictates how much it will expand linearly for a given rise in temperature.
L" = L'(1 + a x (T'' - T'))
That is the length at temperature T'' which is higher than temperature T' is given by the length L' at temperature T' multiplied by the quantity [1 + a x (T" - T')], where a is the coefficient of linear expansion which is constant for a given material. Thus if the temperature difference T" - T' is large then the expansion will be large which means L" - L' will be large. Likewise if the original length L' is large, then the corresponding expanded length L" will be large
I don't think so. The coefficient of thermal expansion is a ratio of two lengths. So,
as long as both of them are in the same unit, the coefficient is dimensionless, and
it's independent of the unit or system of units.
Coefficient of linear expansion is an intensive property of the material of the rod and not depending on the dimension. But simply expansion does depend on dimension i.e. length. Note the difference expansion and coefficient of linear expansion
No, it does not depend on the length. A longer object will expand more; but the percentage increase will be the same.
the fractional change in length,area and volume per unit change in temp. of matters at a given pressure
No. It's a ratio between two numbers, and it doesn't depend on the specific length, or on the units used.
Thermal expansion is the change in the size of an object or structure due to the increase in atomic bond lengths at higher temperatures. That's what it comes down to. A steel railroad rail is set with a small gap between it and the next rail so linear expansion won't cause the rails to push against each other and the track to buckle. Large skyscrapers have their exterior skins engineered so that thermal expansion won't cause the aluminum, steel or other trim to buckle and pull away from the structure. Keep in mind that this is a 3D problem and not just a 2-dimensional one (though in the case of the rails, the third dimension isn't nearly as important. We are talking about a thermodynamic property of materials. The coefficient of thermal expansion is a measure of that change in length or volume of a material as a function of temperature. It's just that simple. As objects get warmer, their size increases by "x" amount. And this may not be linear, too. At higher temperatures, there may not be as much of an increase in the "size" of an object for another identical change in temperature. There are some measurements and some calculations that must be made to come up with the numbers. More information can be found by using the link below to the Wikipedia article on the coefficient of thermal expansion.
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no , all solids do not expand by the same amount when heated through same temperature. it depends upon the coefficient of its linear expansion. We define avergae co-efficient of linear expansion in the temperature range deltaT as α=(1/L)(ΔL/ΔT) where L is initial length of the solid at the temperature T.. It varies from material to material , higher the value of alpha , it expands more..
yes,according to relation coefficient of linear expansion depends upon original length.
coefficient of expansion
Coefficient of expansion
No, it is a fundamental mechanical property of the material
casing and shaft are made of alloy steel they are supposed to expand when heated (at/2 *length of turbine.).wherea is coefficient expansion of material.t=finaltemperature ( of casing or shat)-ambienttemperaturel=length of turbine in meter
dL/dT = αL*L, where L is the length of the steel, T is temperature, and αL is the linear thermal expansion coefficient which for steel is about 11.0 to 13.0. That is possibly the easiest differential equation in history: (1/L)dL = (αL)dT ln(L) = αLT L = eαLT
the fractional change in length,area and volume per unit change in temp. of matters at a given pressure
0,00679728mm
Yes, they do. The phenomenon is called thermal expansion. Every substance has a "coefficient of expansion" figured out via experiment. The coefficient is used in the following way. change in length = original length * change in Temperature (K) * coefficient of linear expansion change in volume = original volume * change in Temperature (K) * coefficient of volume expansion The coefficient of volume expansion is three times the coefficient of linear expansion. The unit for the coefficient is "per degree" (this makes more sense when you use it in an equation)
Coefficient of Linear thermal expansion (CLTE) = Alpha Alpha=(change in length)/(original length*change in temp) =Meters/(meters*Celsius) =m/mC (meters cancel leaving...) =1/C =C^-1
No. It's a ratio between two numbers, and it doesn't depend on the specific length, or on the units used.
Pretty much all wires are made from materials with a positive coefficient of thermal expansion - which means that as they cool, they contract (get shorter).