Total shrinkage strain at an age `t`, `ε_cs`

Eurocode 2 part 1-1: Design of concrete structures 3.1.4 (6) and B.2 (1)

The total shrinkage strain is composed of the drying shrinkage strain and the autogenous shrinkage strain:

ε_cs = ε_cd + ε_ca

(3.8)

where:

The drying shrinkage strain folows from:

ε_cd(t) = β_ds(t,t_s)⋅k_h⋅ε_cd,0

(3.9)

The autogenous shrinkage strain follows from:

ε_ca(t) = β_as(t)⋅ε_ca(∞)

(3.11)

This application calculates the total shrinkage strain ε_cs from your inputs. Intermediate results will also be given.

Input

Concrete strength class

Type of cement

Age of concrete t

days

Age of the concrete at the beginning of drying shrinkage (or swelling) t_s

days

Relative humidity of the ambient environment RH

Cross-sectional area A_c

mm²

Perimeter of the part of the cross section which is exposed to drying u

Output

Mean compressive strength of concrete at 28 days f_cm

MPa Table 3.1

Characteristic compressive strength of concrete f_ck

MPa Table 3.1

Class of cement

3.1.2 (6)

Notional size of the member h₀

mm (3.10)

k_h

Table 3.3

β_ds(t,t_s)

(3.10)

α_ds1

§ B.2 (1)

α_ds2

§ B.2 (1)

β_RH

(B.12)

Basic drying shrinkage strain ε_cd,0

‰ (B.11)

Drying shrinkage strain ε_cd(t)

‰ (3.9)

ε_ca(∞)

‰ (3.12)

β_as(t)

(3.13)

Autogenous shrinkage strain ε_ca(t)

‰ (3.11)

the total shrinkage strain ε_cs

‰ (3.8)

Comments

Recipients

Total shrinkage strain at an age t, εcs

Total shrinkage strain at an age `t`, `ε_cs`