Design of a doubly reinforced cross section

This article explains the construction of the double reinforced section. The basic steps to be followed are explained in a simple way for better understanding. Several methods with different names are discussed in the literature. However, all methods lead to the same result, even if they look different in presentation.

  1. The value x/d = 0.5 is taken into account in all calculations: Information.
  2. The effective depth (d) is calculated based on the coverage and assumed diameters of the connection and rod.
  3. Calculated depth for compression bars (d')
  4. Calculate K = M / (bd 2 F ck ); where “M” is the applied bending moment, “b” is the width of the beam, “d” is the effective depth and “fck” is the characteristic cylindrical strength of the concrete.
  5. Check K > K' = 0.167. If this is met, the section must be designed as double reinforcement, otherwise it must be designed as a single reinforced section, as in another item .
  6. Calculate the d'/d ratio and check whether it is less than 0.171. If this is met, it can be assumed that the compression reinforcement has yielded. This expression was derived considering x/d = 0.45. In addition, there are several other methods to check the yielding of compression reinforcement. It is recommended to carry out the check before proceeding with reinforcement calculations.
  7. Calculated area of ​​compressive reinforcement for step 8 equation
  8. Like'=(KK')f ck bd 2 / (0.87f Yes (dd'))
  9. Determine the lever arm Z = d (0.5 + √ (0.25 – K / 1.134)) from this equation, considering K = K' = 0.167, or using the equation Z = 0.82d, which is for the equilibrium state below. x/d = 0.45 is derived.
  10. Check Z < 0.95d. If true, use the same, otherwise use Z = 0.95d.
  11. Calculate the tensile reinforcement requirement from the equation in step 12
  12. How = (K'f ck bd 2 / 0.87f Sim Z) + How'
  13. Check for minimum reinforcements. is given > 0.26 (f CTM /F Sim )bd, but not less than 0.0013bd, where f CTM is the average value of the central tensile strength of the concrete, which can be found in Table 3.1: Strength properties and concrete deformation according to Eurocode 2.
  14. Check maximum earnings; (100 A is supplied /A C ) < 4

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