Minimum Flexural Reinforcement Steel Ratios of High-Strength Concrete Beams

Table 2

Summary of previously proposed equations.

Source	Proposed equation	Origin	Parameters
Mohammed et al. [16]		Empirical	Material properties
Al Sebai and Al Toubat [17]		Analytical	Material properties
	Carpinteri et al. [18]				Numerical algorithm—nonlinear fracture mechanic	Material properties and member size
Bosco and Carpinteri [10]		Numerical algorithm—nonlinear fracture mechanic	Material properties and member size
Cadamuro et al. [19]		Numerical algorithm—nonlinear fracture mechanic	Material properties and member size
Shehata et al. [20]		Analytical	Material properties and member size
Appa Rao et al. [21]		Analytical method FMC	Material properties and member size
Baluch et al. [22]		Unstable crack propagation	Material properties and member size
Gerstle et al. [23]			Material properties and member size

Concrete fracture toughness. Average tensile strength of concrete, tensile yield strength of steel. is scale parameter of concrete, is critical crack opening displacement, is concrete ultimate tensile strength.