PILE CAP DESIGN
Problem
Design a grade 45 reinforced concrete pile cap carrying 200mm x 200mm column stump. The pile cap is expect to carry 2 nos. 200mm x 200mm square pile with 250kN working load.
Solution
- Determine the pile spacing and the dimension of pile cap.
- Calculate the lever arm between pile centroid to the face of stump, while taking the pile eccentricity into consideration (cl.2.4.4, BS8004:1986).
- Arrange the reinforcement in pile cap section.
- Calculate the design bending moment using bending theory.
- Determine the effective depth to tension reinforcement.
- Determine whether singly reinforced section is sufficient as per cl.3.4.4.4, BS8110-1:1997. If doubly reinforced section is required, use thicker section as it is impractical to provide compression reinforcement.
- Determine the lever arm of tension reinforcement in pile cap section using the formulation provided in cl.3.4.4.4, BS8110-1:1997.
- Determine the area of reinforcement required based on cl.3.4.4.4, BS8110-1:1997. The area of reinforcement required should not be less than minimum requirement as stated in Table 3.25, BS8110-1:1997.
- Determine the maximum allowable stump load by total up the factored pile working load.
- Determine the punching shear stress at the face of stump as per cl.3.7.7.2, BS8110-1:1997.
- Make sure the shear stress does not exceed the limit as stated in cl.3.7.7.2, BS8110-1:1997.
- Calculate design shear force developed in pile cap section.
- Calculate design shear stress developed in pile cap section, as per cl.3.7.7.3, BS8110-1:1997.
- Determine concrete shear strength based on the method provided in Table 3.8, BS8110-1:1997.
- Determine av based on Figure 3.23, BS8110-1:1997.
- Determine the value of 2d/av, as per cl.3.4.5.8, BS8110-1:1997.
- Calculate enhanced concrete shear strength in accordance with cl.3.4.5.8, BS8110-1:1997.
- Check whether the concrete shear strength is adequate in resisting the design shear stress. If not, consider thicker section since shear link may not be practical.
- Determine the binder bar required for pile cap.
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