YS-RCS-BS-04

SIMPLIFIED CONTINUOUS BEAM DESIGN

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Problem

Design grade 45, 5-span continuous reinforced concrete beam subjected to 1.15kN/m superimposed dead load and 2.00kN/m live load. The critical span length is 5m, and the dimension of beam section is 200mm x 600mm. Take cover to reinforcement as 25mm.

Solution

  1. Arrange the reinforcement in beam section.
  2. Determine the factor for design bending moment based on Table 3.5, BS8110-1:1997.
  3. Calculate the design bending moment as per Table 3.5, BS8110-1:1997.
  4. Determine the effective depth to tension reinforcement.
  5. Determine whether singly reinforced section is sufficient as per cl.3.4.4.4, BS8110-1:1997.
  6. Determine the lever arm of tension reinforcement in beam section using the formulation provided in cl.3.4.4.4, BS8110-1:1997.
  7. Determine the depth to neutral axis in beam section using the formulation provided in cl.3.4.4.4, BS8110-1:1997.
  8. Determine the effective depth to compression reinforcement if doubly reinforced section is required, in accordance with cl.3.4.4.4, BS8110-1:1997.
  9. Calculate the ratio of effective depth to compression reinforcement : depth to neutral axis as per cl.3.4.4.4, BS8110-1:1997, and then determine the yield strength of compression reinforcement.
  10. Determine the area of compression reinforcement required based on cl.3.4.4.4, BS8110-1:1997.
  11. Determine the area of tension reinforcement required based on cl.3.4.4.4, BS8110-1:1997.
  12. Check whether the area of compression and tension reinforcements provided are greater than minimum requirement as stated in Table 3.25, BS8110-1:1997, while less than maximum limit as per cl.3.12.6.1, BS8110-1:1997.
  13. Determine the factor for design shear force by referring to Table 3.5, BS8110-1:1997.
  14. Calculate the design shear force based on Table 3.5, BS8110-1:1997.
  15. Calculate design shear stress developed in beam section as per cl.3.4.5.2, BS8110-1:1997.
  16. Determine concrete shear strength based on the method provided in Table 3.8, BS8110-1:1997.
  17. Calculate the Asv/Sv required based on Table 3.7, BS8110-1:1997.
  18. Provide sufficient Asv/Sv by manipulating the shear link diameter and spacing.
  19. Based on the support condition of end and interior spans of beam, determine the basic span to effective depth ratio by referring to Table 3.9, BS8110-1:1997.
  20. Calculate the stress developed in reinforcing steel by referring to Table 3.10, BS8110-1:1997.
  21. Determine the modification factor due to tension reinforcement based on Table 3.10, BS8110-1:1997.
  22. Calculate length factor based on beam length, referring to cl.3.4.6.4, BS8110-1:1997.
  23. Calculate the permissible span to effective depth ratio by multiplying the basic ratio with modification factor and length factor.
  24. Check whether the actual span to effective depth ratio exceeds the permissible ratio.
  25. Determine the maximum allowable rebar spacing based on the formulation provided in cl.3.12.11.2.4, BS8110-1:1997.
  26. Determine the minimum rebar spacing by referring to cl.3.12.11.1, BS8110-1:1997.
  27. Check whether the actual rebar spacing lies between the minimum and maximum limits, as calculated in steps above.



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