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Modification Factor for Lightweight Concrete

A modification factor, λ, has been added to all strength equations within ACI 318 that contain the term f c . This parameter is discussed in detail in Section 8.6.1 of ACI 318-08. Section 8.6.1 replaces Section 11.2 in the 2005 edition of the code. As a result, all sections after 11.2 in ACI 318-08 are now decremented by 1 (e.g., 11.4 in '05 is 11.3 in '08).

The parameter λ accounts for the lower tensile strength of lightweight concrete.

  • λ = 1.0 for normal weight concrete
  • λ = 0.85 for sand-lightweight concrete
  • λ = 0.75 for all-lightweight concrete

Linear interpolation is allowed between these values as discussed in Section 8.6.1.

Note: The new expression results in no difference in the calculated strength values compared to the 2005 edition of the code.

As a result of the addition of the λ parameter, the form of several concrete shear strength equations has changed in ACI 318-08. Changes to the most basic equations are shown below.

V c = 2 f c b w d Equ (11-3) in ACI 318-05

becomes

V c = 2 λ f c b w d Equ (11-3) in ACI 318-08
V c = 2 ( 1 + N u 2 , 000 A g ) f c b w d Equ (11-4) in ACI 318-05

becomes

V c = 2 ( 1 + N u 2 , 000 A g ) λ f c b w d Equ (11-4) in ACI 318-08
V c = ( 1.9 f c + 2 , 500 ρ w V u d M u ) b w d Equ (11-5) in ACI 318-05

becomes

V c = ( 1.9 λ f c + 2 , 500 ρ w V u d M u ) b w d Equ (11-5) in ACI 318-08