Limiting Deflection of 2-Way Slab

The limiting deflection of a 2-way slab is an important consideration in the design of such slabs. The deflection of a slab is the amount of deformation or bending that occurs under load. The limiting deflection is the maximum permissible deflection that a slab can undergo without causing damage or unacceptable levels of cracking.

Factors Affecting Limiting Deflection

There are several factors that can affect the limiting deflection of a 2-way slab. These include:

1. Span Length: The longer the span of the slab, the greater the deflection will be. This is because a longer span will have a greater unsupported length, which will cause more bending.

2. Slab Thickness: A thicker slab will have a lower deflection than a thinner slab. This is because the thicker slab will have more stiffness and strength to resist bending.

3. Concrete Strength: A stronger concrete will have a lower deflection than a weaker concrete. This is because a stronger concrete will have more stiffness and strength to resist bending.

4. Reinforcement: The amount and placement of reinforcement in the slab can affect the deflection. More reinforcement will provide more stiffness and strength to resist bending.

Primarily a Function of Short Span

Of these factors, the limiting deflection of a 2-way slab is primarily a function of the short span. This is because the short span is the direction in which the slab is most likely to deflect. The long span is typically reinforced with beams or other structural elements that provide additional support and stiffness. Therefore, the deflection in the long span direction is usually less significant than in the short span direction.

Conclusion

In conclusion, the limiting deflection of a 2-way slab is primarily a function of the short span. However, other factors such as span length, slab thickness, concrete strength, and reinforcement can also affect the deflection. Designers must carefully consider all of these factors when determining the maximum permissible deflection of a 2-way slab.

Because the lager force acts along the shorter span. As the bending takes place more in the transverse direction of the longer span. just try to bend your ling book hope ull get the explanation to this justification.