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ANFIS-based prediction of moment capacity of reinforced concrete slabs exposed to fire

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Abstract

Reinforced concrete slabs, just as the other structural elements, are highly affected by the high temperatures. Due to the decrease in strength of reinforced concrete members under high temperature, bearing moment capacity of reinforced concrete slabs also decreases. In this study, a prediction model is investigated in order to determine the bearing moment capacities of reinforced concrete slabs under high temperature. Pre-calculated moment capacities of slabs exposed to fire are predicted by the implementation of adaptive neuro-fuzzy inference system (ANFIS) and the prediction performance of ANFIS model is investigated. The bending capacities of slabs with different concrete characteristics and different times of exposure are calculated. High temperature resulting from the duration of fire exposure is calculated as a function of time in accordance with ISO 834. The temperature distribution inside the slab is determined by the adoption of a steady-state one-dimensional heat transfer. The slab was separated into slim slices and the heat in each slice is determined depending on the time of exposure. Forces and resistance of materials under fire exposure are calculated by applying the reduction coefficients in Eurocode 2. Results confirm the high prediction capability of ANFIS model.

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Abbreviations

T :

Temperature based on time of fire exposure (°C)

t :

Time of fire exposure (min)

T a :

Ambient temperature (°C)

k c :

Concrete compressive strength reduction coefficient

f CT :

Local compressive strength of concrete (at increasing temperature)

f C20 °C :

Concrete compressive strength at 20 °C (N/mm2)

k s :

Steel tensile strength reduction coefficient

f suT :

Local tensile strength of steel (at increasing temperature) (N/mm2)

f su20 °C :

Steel tensile strength at 20 °C (N/mm2)

Q :

Heat transfer rate

A :

Surface area of slab (mm2)

T ∞1, T ∞2 :

Temperatures on both faces of slab with no internal heat transfer (°C)

T 1 :

Temperature on the slab face that is exposed to fire (°C)

T 2 :

Temperature on the slab face that is not exposed to fire (°C)

h :

Height of slab (mm)

h 1 , h 2 :

Heat transfer coefficients (W/m2 K)

k :

Heat transfer coefficient of concrete (W/mK)

R t :

Total heat resistance

y :

A point inside the slab

T(y) :

Temperature at a point inside the slab (°C)

D :

Slice number of slab

F s :

Tensile force of reinforcement (N)

k si :

Steel tensile strength reduction coefficient in ith slice

f yd :

Yield strength of reinforcement at 20 °C (N/mm2)

A si :

Reinforcement area in ith slice (mm2)

F c :

Concrete compressive strength (N)

f cd :

Concrete compressive strength at 20 °C (N/mm2)

k ci :

Concrete compressive strength reduction coefficient in ith slice

Δy :

Height of each slice of slab (depth)

a :

Compressive stress block depth (mm)

M u :

Ultimate moment capacity of slab (N mm)

d :

Effective depth of slab (mm)

d′:

Concrete cover of slab (mm)

i :

Sequence of slice

O n,i :

Output of ith node at nth layer

μ Ai (x):

Membership grade of A at ith node

μ Bi (y):

Membership grade of B at ith node

w i :

Multiplication of signals at ith node

\(\bar{w}_{i}\) :

Firing rate of ith node

\(\bar{w}_{i} f_{i}\) :

Output value of ith node

O i :

Calculated moment capacity value of ith data

P i :

Moment capacity value of ith data predicted by NN model

N :

Number of data used for training and testing of NN

R 2 :

Coefficient of determination

RMSE:

Root-mean-squared error (N mm)

MBE:

Mean bias error (N mm)

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Authors and Affiliations

  1. Department of Civil Engineering, Zirve University, 27260, Gaziantep, Turkey

    Mahmut Bilgehan & Ahmet Emin Kurtoğlu

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  1. Mahmut Bilgehan
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  2. Ahmet Emin Kurtoğlu
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Correspondence to Mahmut Bilgehan.

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Bilgehan, M., Kurtoğlu, A.E. ANFIS-based prediction of moment capacity of reinforced concrete slabs exposed to fire. Neural Comput & Applic 27, 869–881 (2016). https://doi.org/10.1007/s00521-015-1902-3

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  • DOI: https://doi.org/10.1007/s00521-015-1902-3

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