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Table 7 Comparison of the modulus of elasticity of concrete.

From: Analysis of Short-Term Prestress Losses in Post-tensioned Structures Using Smart Strands

Provision Formulaa Modulus of elasticity (MPa)
Full-scale specimen
[ratio (%)]
Bridge A
[ratio (%)]
Bridge B
[ratio (%)]
KCI
(2012)
\(\begin{gathered} E_{c} = 0.077m_{c}^{1.5} \sqrt[3]{{f_{cu} }} \hfill \\ \quad \, = 8500\sqrt[3]{{f_{cu} }} \hfill \\ \end{gathered}\)
\(f_{cu} = f_{ck} + \Lambda f\)
27,537
[100]
34,351
[100]
37,519
[100]
ACI 318
(2019)
\(\begin{gathered} E_{c} = w_{c}^{1.5} 0.043\sqrt {f_{c}^{\prime } } \hfill \\ \quad \, = 4700\sqrt {f_{c}^{\prime } } \hfill \\ \end{gathered}\) 25,743
[93.5]
36,406
[106.0]
42,038
[112.0]
Eurocode 2
(CEN, 2004)
\(E_{c} = 22,000\left( {f_{cm} /10} \right)^{0.3}\)
\(f_{cm} = f_{ck} + 8\)
32,837
[119.2]
39,100
[113.8]
42,244
[112.6]
  1. a\(E_{c}\) in MPa, \(m_{c}\) and \(w_{c}\): unit weight of concrete with 23 kN/m3 for normal-weight concrete, \(f_{cu}\) and \(f_{cm}\): mean value of compressive strength, \(f_{ck}\) and \(f_{c}^{\prime }\): specified compressive strength, \(\Delta f\) = 4 and 6 MPa for \(f_{ck}\) ≤ 40 MPa and \(f_{ck}\) ≥ 60 MPa, respectively, and linear interpolation for 40 < \(f_{ck}\) < 60 MPa.