The stipulated performance of flyash aggregates in geopolymer concrete beams (composite beam) has been explained using the Method of Initial Functions (MIF) via mathematical programming. This research has specifically focused on understanding its strength and durability characteristics. Geopolymer concrete is now being evaluated as a successful alternative in terms of sustainability in the construction sector and has used flyash, an industrial by-product, for several years as a major binder. The major theme adopted in the present research is concentrated on the mechanical and structural behavior of geopolymer concrete beams partially replaced by flyash aggregates for civil engineering applications. The present paper focuses on using the Method of Initial Functions to model and analyze beam behavior subjected to various loading conditions within a strong mathematical programming approach. In the current study, an explanatory analysis of the flexural strength, load-deflection characteristics, and crack opening profile is conducted without constructing a beam specimen by using MIF.
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