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How do you calculate the deflection of a cantilever slab?

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How do you calculate the deflection of a cantilever slab?

Slab loading

  1. Slab loading.
  2. Ultimate load = 1.35gk+1.5qk = 1.35×4.375+1.5×4 = 11.91 kN/mm2. Bending moment.
  3. n = 11.91 kN/mm2. Bending moment.
  4. Reinforcement.
  5. k’>kCompression reinforcement is not required.
  6. Provide T10 @ 200mm C/C (As pro. = 393mm2/m.
  7. Check for deflection (same method as two way slab)
  8. Deflection check is ok.

How do you calculate the maximum deflection of a cantilever beam?

If more than one point load and/or uniform load are acting on a cantilever beam – the resulting maximum moment at the fixed end A and the resulting maximum deflection at end B can be calculated by summarizing the maximum moment in A and maximum deflection in B for each point and/or uniform load.

How do you calculate maximum deflection?

Typically, the maximum deflection is limited to the beam’s span length divided by 250. Hence, a 5m span beam can deflect as much as 20mm without adverse effect.

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How do you calculate slab deflection?

Checking slab deflection is included in the beam design section of BS 8110 Part 01. The deflection can be checked by two methods. If you know the maximum deflection for the relevant load case, we can check whether it is with in the limit. Code gives the maximum limits of deflections base on the spans.

What is the maximum cantilever length?

According to the new span tables and IRC provisions, cantilevers can extend up to one-fourth the backspan of the joist. This means that joists, such as southern pine 2x10s at 16 inches on-center, spanning 12 feet are allowed to cantilever up to an additional 3 feet (see illustration, below).

How do you calculate the effective depth of a cantilever slab?

Structural Design of Cantilever Slabs – Solved Example

  1. Load Analysis. Self weight of slab = (25 × 0.2) = 5 kN/m2
  2. Design Forces. MEd = (13.92 × 1) + (11.97 × 1.7152)/2 = 31.523 kNm.
  3. Flexural design. MEd = 31.523 kNm.
  4. Check for deflection.
  5. Exercise for Students.
  6. Thank you for visiting Structville today, and God bless.
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What is the maximum deflection of a cantilever?

The maximum deflection in cantilever beam of span “l”m and loading at free end is “W” kN. Explanation: Maximum deflection occurs at free end distance between centre of gravity of bending moment diagram and free end is x = 2l/3. Maximum deflection (y) = Ax/EI = Wl3/3EI.

What is the maximum permissible deflection limit for a cantilever beam?

The deflection limit for cantilever beams set by most design codes is L/180 for live load and L/90 for combined dead & live load. The maximum span depends on the material of the beam (wood, steel or concrete).

What is the formula for effective depth?

The effective depth of the beam is the distance from the tension steel to the edge of the compression fiber. Meaning if you have a 400 mm deep beam with T20 tension reinforcement and a cover of 40 mm the effective depth is 400 – 40 – 10 = 350.

How do you calculate deflection?

Generally, deflection can be calculated by taking the double integral of the Bending Moment Equation, M(x) divided by EI (Young’s Modulus x Moment of Inertia).

How to calculate maximum deflection at the end of cantilever beam?

Maximum Deflection at the end of the cantilever beam can be expressed as δB = F L3 / (3 E I) (1c)

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How to calculate the maximum deflection at the free end?

The maximum deflection at the free end can be calculated as The height of the beam is 300 mm and the distance of the extreme point to the neutral axis is 150 mm. The maximum stress in the beam can be calculated as

How do you find the deflection of a beam?

Stiffness of the beam Calculating beam deflection requires knowing the stiffness of the beam and the amount of force or load that would influence the bending of the beam. We can define the stiffness of the beam by multiplying the beam’s modulus of elasticity, E, by its moment of inertia, I. The modulus of elasticity depends on the beam’s material.

How do you calculate the moment of inertia in a cantilever beam?

I = moment of Inertia (m4, mm4, in4) The maximum moment in a cantilever beam is at the fixed point and the maximum stress can be calculated by combining 1b and 1d to σmax = ymax F L / I (1e) Example – Cantilever Beam with Single Load at the End, Metric Units