This tool allows you to calculate the cracking moment for a rectangular concrete section. It also calculates the neutral axis and stresses in the concrete and the steel in both cases, before and after cracking. To perform the calculation we have used the formulation proposed in the article Calculation of the neutral axis in concrete sections (in spanish) . This article shows how to calculate the neutral axis of the section once cracked. Similarly, we could calculate the neutral axis before cracking. The next image shows the state of deformations, stresses and forces of our section before and after cracking and the position of the neutral axis:
To calculate the cracking moment we need to know the tensile strength of our concrete. The following table of EC-2 provides us, depending on the concrete's compressive strength, its tensile strength, among other values:
Geometrical characteristics | ||
Heigth (mm) (h): | ||
Width (mm) (b): | ||
Upper reinforcement (mm^2) (A2): | ||
Lower reinforcement (mm^2) (A1): | ||
Upper concrete cover (mm) (R2): | ||
Lower concrete cover (mm) (R1): |
Material characteristics | |||
Concrete compression strength (MPa) (fck): | Steel yielding limit (MPa) (fys): | ||
Concrete Young modulus (N/mm^2) (Ec): |
Typical value:
35000 MPa; |
Steel Young modulus (N/mm^2) (Es): |
Typical value:
210000 MPa; |
Concrete tensile strength (MPa) (fctm): |
In the explanation section, at the beginning of the tool, there is a table with the tensile strengths as a function of the compressive strengths. |
Calculate
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Results just before cracking | |||
Cracking moment: | |||
Neutral axis before cracking | |||
Inertia before cracking | |||
Bottom reinforcement stress: | |||
Top reinforcement stress | |||
Compression stress in concrete produce by the cracking moment: | |||
Results just after cracking | |||
Neutral axis after cracking: | |||
Inertia after cracking | |||
Compression stress in concrete produce by the cracking moment: | |||
Bottom reinforcement stress: | |||
Top reinforcement stress |