This study aims to provide databank and comprehensible design equations for the shrinkage strain curve of concrete using bottom ash granules to replace conventional natural sands. We prepared 27 concrete mixtures with various parameters, including the substitution level of natural sand for fine bottom ash aggregates, unit water content, and fine aggregate-to-total aggregate volume ratios. To derive reliable design models to predict the drying shrinkage of concrete using fine bottom ash aggregates, the time function specified in fib 2010 was modified by introducing the parameter of equivalent porosity of aggregates. Moreover, the shrinkage strain values at an age of 91 days were formulated by conducting a regression analysis using test data as a specified reference to determine the ultimate shrinkage strain. The test results showed that the shrinkage strain of concrete is marginally affected by the bottom ash aggregate content but significantly affected by the volume fraction of aggregates and their equivalent porosity. The proposed models are promising for estimating the shrinkage strain response of concrete using fine bottom ash aggregates by considering the restraining action of aggregates.