This online tool calculates the anchor length of a bar based on the formulation of the EC-2.
Section §8.4.4 of EC-2 defines the anchor length as follows:
As we can see, it consists of two parts, one that is the anchor length itself (basic anchor length) and the other part are coefficients that reduce this length according to different factors. The basic anchor length, as shown in the following image of EC-2 section §8.4.3, depends on the bond stress between the bar and concrete and the bar stress.
To calculate the bond stress of the bar we use the formula in section §8.4.2:
The value of fctd is the design tensile strength of concrete (fctd = α,ct*ftck0.05/γc) and depends on the characteristic tensile strength of concrete. The following table of EC-2 provides us with this data according to the fck value of our concrete:
Finally, as we have seen at the beginning, the EC-2 proposes coefficients to reduce the anchor length depending on whether certain conditions exist (transversal reinforcement, adequate covering ...). The following table of EC-2 defines each of these alpha coefficients:
These alpha coefficients have to respect the following condition in order not to reduce the anchor length excessively. In addition, the EC-2 proposes a minimum length that must also be respected:
This calculation tool is based on all the formulas described here and provides both the final value and all intermediate calculated values.
Geometric characteristics | |||
Bar diameter (Φs) (mm): | Rebar shape | ||
Cd value (See figure) (mm): | |||
coefficient related to the quality of the bond condition and the position of the bar during concreting (η1) (see figure below-Good/poor conditions): |
Value:
η1 = 1.0 when ‘good’ conditions are obtained; η1 = 0.7 for all other cases and for bars in structural elements built with slip-forms, unless it can be shown that ‘good’ bond conditions exist |
Coefficient related to the bar diameter (η2): |
Value:
η2 = 1.0 for φ ≤ 32 mm; η2 = (132 - φ)/100 for φ > 32 mm; |
Concrete characteristics | |||
Concrete tensile characteristic strength (fctk,0,05) (MPa): | Concrete partial factor: (γc) |
Typical values:
Persistent & Transient situation:1.5; Accidental situation:1.2; |
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Long term effects on the tensile strength (α,ct) (MPa): |
Steel characteristics | |||
Design stress of the bar (σs) (MPa): | Tension or compression: |
transverse reinforcement along the design anchorage length | |||
Not welded transverse reinforcement? |
Information:
In case of doubt, keep the "No" option, is conservative; |
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Not welded trasversal reinforcement area in the anchor length (mm²): | Type of element where the anchored bar is placed: | ||
K value (see figure) (mm): | |||
Welded transverse reinforcement? |
Information:
In case of doubt, keep the "No" option, is conservative; |
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The welded transverse reinforcement complies with the following requirement? |
Transverse pressure along the anchorage length | |||
Is there transverse pressure along the anchorage length?: |
Information:
Compression stresss on the concrete where the rebar is anchored, increasing the contact between the rebar and tbe concrete In case of doubt, keep the "No" option, is conservative; |
Transverse compression pressure (p) (MPa): |
Alfa values automatic calculated | |||||||||
α1 value: | α2 value: | α3 value: | α4 value: | α5 value: |
Results: | |||
Required anchor length - Lbrd (mm) | Automatic calculation after introducing all the input data |
Intermediate values for anchor length calculation |