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Structural Analysis: Simple Calculation Methods: Concrete

The simplest approach to the design of concrete members is to use prescriptive tables which provide minimum geometric dimensions and cover to reinforcement. Read more. (link to prescriptive/concrete structures)

Simple design methods are available for concrete members based on the fundamental engineering principles used for cold design. Reduction in strength of the concrete and reinforcing bars is included, together with partial safety factors that apply at the fire limit state.

For simply supported horizontal members the calculation of the design resistance is simply calculated using the normal stress-blocks adopted in normal cold design except the tensile strength of the reinforcement is reduced based on its temperature. In addition the partial material safety factors for both concrete and steel reinforcement are taken as unity. Provided the insulation criterion is met, the concrete in compression will remain at a low temperature and is therefore assumed to retain its full strength.

For continuous horizontal members plastic design and normal redistribution can be used. In hogging regions the concrete strength in compression is reduced due to the effects of fire.

For concrete columns, the simplest design method is to ignore the strength of concrete above 500°C and define the actual temperature of the reinforcement. The load-carrying capacity is calculated based on the reduced area of concrete and reduced strength of reinforcing bars using the same design approach for cold design but with material safety factors for the fire limit state. Alternately, the column can be divided into a number of zones and the actual strength of the concrete, based on the temperature, together with the reduced strength of the reinforcing bars is used to calculate the columns capacity. Both these methods are given in BSEN1992-1-2. The main limitation of the simple design methods for column members is that the temperature distribution across the member cross sections given in the codes is limited and the methods ignore the redistribution of moments within the structure that occurs during a fire and also ignore transient creep.

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