![]() Unconfined Compression Strength MPa (psi) These default bulk and shear moduli of concrete are derived from the formula for Young's modulus provided in CEB. This formula gives Young's moduli that are within ☙ percent of those given by Figure 74, as shown in Table 2. For normal weight concrete with w c = 2,286 kg/m 3 (5,040 pounds per feet cubed (lb/ft 3)), this formula reduces to the equation shown in Figure 77:įigure 77. Where w c is the density of concrete in kilograms per meters cubed (kg/m 3). ![]() The equations in Figure 74 and Figure 75 are implemented in the concrete model initialization routines to set the default moduli of concrete as a function of concrete compressive strength.Īlternatively, the ACI Committee 318 suggests the formula shown in Figure 76 for the elastic modulus:įigure 76. Based on this information, the default bulk and shear moduli ( K and G) in Table 1 are derived from the classical relationships between stiffness constants, as shown in Figure 75:įigure 75. A value of η = 0.15 is selected here and is assumed to remain constant with concrete strength. Poisson's ratio is typically taken as being between 0.1 and 0.2. This value of E C is for simulations that are modeled linear to the peak (no prepeak hardening). ![]() Here, E is Young's modulus and E C = 18.275 MPa (2,651 psi) (which is the value of Young's modulus when f ' c = 10 MPa (1,450 psi)). These measurements are taken from an equation in CEB, as shown in Figure 74:įigure 74. ![]() Young's modulus of concrete varies with concrete strength, as shown in Table 1. PDF files can be viewed with the Acrobat® Reader® Chapter 2. ![]()
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