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Compute Concrete Expansion

Temperature original, T_o , ° C

Temperature final, T_f , ° C

Concrete slab length , m

Concrete coefficient of expansion , / ° C

ANSWER: Concrete slab expansion = m

Solve for concrete slab expansion

Memory recall linear thermal expansion formula for solid material

Δ L (expansion) = material linear coefficient of expansion * original length * change in temperature in Celcius

Δ L = Α * L_o * Δ T

= * *

= m

APPLICATION OF CONCRETE EXPANSION CALCULATOR

CREDIT TO: FEDERAL HIGHWAY ADMINISTRATION PORTLAND CEMENT CONCRETE PAVEMENT RESEARCH

The Coefficient of Thermal Expansion (CTE) of Portland Cement Concrete (PCC) ranges from about 8 to 12 microstrains / ° C. micro is written as 10 ^-6 strains. So 12 microstrains in scientific notation is 12 x 10 ^-6 strains. Written in exponential notation as 12e-6

A microstrain is a unit that represents a very small change in length per unit length. So, 1 microstrain is equal to a change of 1 part per million
( 1/1,000,000). In metric system 1/1,000,000 = 10^-6 and it is called micro. Therefore if the given unit of length is given in meter. Then 1 microstrain change in length is equal to 1 micrometer per meter. 1 micrometer is written normally as 0.000001 meter.

The new (2002 Guide) pavement design procedures under development through NCHRP 1-37A consider the effects of thermal expansion and contraction. The CTE research completed by the PCCP Team has made this possible by providing a standard test method that agencies can use to determine CTE for their concrete mixes and CTE data for the Long Term Pavement Performance (LTTP) test sections. The LTPP CTE data are being used in the development of the 2002 Guide, and may also be used by future users of the guide to estimate appropriate CTE input values when material-specific data are not available. Based on draft preliminary Information on PCC CTE Input in the 2002 Guide, determination of CTE for the different levels as defined in Guide are as follows:

Level 1 of the CTE determination involves direct measurement of the change in length of laboratory specimens subjected to changes in temperatures, using AASHTO TP60, "Standard Test Method for CTE of Hydraulic Cement Concrete."

Level 2 of CTE determination uses a weighted average of the constituent values based on the relative volumes of the constituents. The table below provides typical ranges of CTE for various common PCC mix components.

Typical Coefficient of Thermal Expansion (CTE) ranges for common PCC mix components

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