Concrete Column Fire Resistance (FRP) Calculator

When subjected to fire, reinforced concrete can react in several ways which reduce its structural integrity:

• Cracking and spalling of concrete at the faces of the element.
• Debonding of concrete from reinforcement, reducing composite action (and overall strength).
• Reduction in yield stress and stiffness of reinforcement.

Fire resistance is the ability of a structural element to maintain its integrity when subjected to fire. This is typically described using a Fire Resistance Period (FRP), measured in minutes. Building codes mandate minimum FRP values for structural elements depending on the building classification. FRP requirements can range from 30-240 minutes. Some codes split FRP requirements into distinct categories relating to methods of fire suppression. These categories include:

• Structural Adequacy: Ability to maintain structural capacity.
• Integrity: Ability to prevent the transfer of fire through the element.
• Insulation: Ability to prevent heat transfer through the element.

Depending on the classification, some codes may require different FRP values for each category.

The Fire Resistance Period of a concrete section is influenced by the following factors:

• Size: Larger concrete sections typically have a higher FRP.
• Cover: Increased cover to reinforcement can reduce the potential of concrete spalling/debonding.
• Concrete Strength: Higher concrete strengths have increased fire resistance.
• Load Level: Heavily loaded concrete sections typically have a lower FRP.
• Reinforcement Ratio: Increasing section reinforcement can increase FRP.
• Exposure: Elements exposed all sides will have a lower FRP than sections protected on one side.

It is also possible to increase the FRP of concrete elements through the application of protective coatings such as vermiculite or intumescent paint.

FRP is calculated differently depending on the design code adopted. When using EN 1992-1-2, the below process is followed:

1. Determine the isotherm of 500°C for the specified fire exposure, standard fire or parametric fire.
   
2. Calculating new cross-section dimensions by excluding the concrete outside the 500 deg. isotherm.
3. Determine the temperature of reinforcing bars in the tension and compression zones.
4. Determine the reduced strength of reinforcement.
5. Calculate the reduced ultimate load bearing capacity.

When using AS 3600:2018, the process is as follows:

1. Determine effective length and slenderness.
2. Calculate loading eccentricity based on design moment/axial force.
3. Calculate load level and mechanical reinforcement ratio.
4. Use tabulated values to determine minimum section width and reinforcement cover.

The SkyCiv RC Fire Resistance Calculator calculates the dispersion of the temperature developed during the fire within the reinforcement and concrete of a member. It then calculates the reduced cross-section of the members i.e. the cross-section obtained by removing parts of the cross-section with assumed zero strength and stiffness. It then estimates the axial and flexural force carrying capacity in its combined form and finally compares the capacity with the actual forces to which the member is being subjected.

The following inputs are required to run the module:

• Section type (circular or rectangular).
• Section dimensions.
• Fire resistance duration in hours.
• Reinforcement layout (bar diameter and bar spacing) for lateral and longitudinal sides.
• Design loads (bending at the major axis and minor axis and axial force).
• Side cover.
• Material properties for concrete and reinforcing steel.

SkyCiv offers tools to calculate concrete FRP in accordance with the following codes:

• EN 1992.1.2.2004 - Design of Concrete Structures
• AS 3600:2018 Concrete Structures