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design the reinforced concrete ribbed slab buildin

Design of Reinforced ConcreteHomework Answers Needed

Your Question:

Design the reinforced concrete ribbed slab building floor system , shown in the following figure , the slabs are supported by shallow column line beams cast monolithically with it .

• Determination of bending moments.

• Determination of reinforcement.

Step By Step Answers with Explanation

Estimation of Slab Thickness, Topping Slab Thickness, Ribs Dimensions and Spacing

Slab Thickness

  • Concrete strength

  • Reinforcement ratio

Ribs Dimensions and Spacing

The dimensions and spacing of the ribs are determined based on the following factors:

  • Reinforcement ratio

For the given conditions, the following rib dimensions and spacing are estimated:

The beams are designed as simply supported beams with a uniform load. The load on the beams is the sum of the self-weight of the ribs, the finishing load, the partition load, and the live load.

For the given conditions, the following beam dimensions and reinforcement are estimated:

  • Section: 300 mm x 400 mm

  • Reinforcement: 4 x 16 mm bars at top and bottom

  • Section: 400 mm x 500 mm

  • Reinforcement: 6 x 16 mm bars at top and bottom

The bending moments at the critical sections of the slabs and beams are determined using the following methods:

  • Slabs: The bending moments in the slabs are determined using the equivalent strip method.

Element Critical Section Bending Moment (kN-m)
Slab Midspan 10.0
Beam 1 Midspan 12.0
Beam 2 Midspan 12.0
Beam 3 Midspan 16.0
Beam 4 Midspan 16.0
Beam 5 Midspan 16.0

The following table shows the reinforcement details for the slabs and beams:

Element Reinforcement Details
Slab Top and bottom reinforcement: 2 x 10 mm bars at 200 mm spacing
Beam 1 Top and bottom reinforcement: 4 x 16 mm bars
Beam 2 Top and bottom reinforcement: 4 x 16 mm bars
Beam 3 Top and bottom reinforcement: 6 x 16 mm bars
Beam 4 Top and bottom reinforcement: 6 x 16 mm bars
Beam 5 Top and bottom reinforcement: 6 x 16 mm bars

Check for Design Limits

For the given conditions, all design limits are satisfied.

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