Any empirical approach to assume elastic modulus of cement mortar ?

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Emanuel Willert

You can make an elastic indentation test and fit the effective elastic modulus based on the Hertzian contact solution.

If you have an apparatus to apply bulk stresses on a block of your material, the elastic modulus can be directly measured by uniaxial tensile testing.

Amirhossein Heidari

Since Mortar and light weight concrete have so much similarities, maybe you could use empirical formulas for lightweight concretes provided by AASHTO LRFD