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Marcus's method is a structural analysis used in the design of reinforced concrete slabs.The method was developed by Henri Marcus and described in 1938 in Die Theorie elastischer Gewebe und ihre Anwendung auf die Berechnung biegsamer Platten. [1]
The underside of a waffle slab, showing the grid like structure. A waffle slab or two-way joist slab is a concrete slab made of reinforced concrete with concrete ribs running in two directions on its underside. [1] The name waffle comes from the grid pattern created by the reinforcing ribs.
A two-way slab has moment resisting reinforcement in both directions. [24] This may be implemented due to application requirements such as heavy loading, vibration resistance, clearance below the slab, or other factors. However, an important characteristic governing the requirement of a two-way slab is the ratio of the two horizontal lengths.
Compared to traditional solid slabs, the reduced self-weight of biaxial slabs allows for longer spans and/or reduced deck thickness. The overall mass of concrete can be reduced by 35–50% depending on the design, [ 1 ] as a consequence of reduced slab mass, as well as lower requirements for vertical structure and foundations.
Since the 1950s there have been several attempts to develop theories for arching action in both one and two-way slabs. [5] [6] [7] One of the principal approaches to membrane action was that due to Park [8] which has been used as a basis for many studies into arching action in slabs. Park's approach was based on rigid plastic slab strip theory ...
The precast concrete slab has tubular voids extending the full length of the slab, typically with a diameter equal to the 2/3–3/4 the thickness of the slab. This makes the slab much lighter than a massive solid concrete floor slab of equal thickness or strength. The reduced weight also lowers material and transportation costs.
Sandwich theory [1] [2] describes the behaviour of a beam, plate, or shell which consists of three layers—two facesheets and one core. The most commonly used sandwich theory is linear and is an extension of first-order beam theory.
There are two standard I-beam forms: Rolled I-beam, formed by hot rolling, cold rolling or extrusion, depending on the material. Plate girder, formed by welding (or occasionally bolting or riveting) plates. I-beams are commonly made of structural steel but may also be formed from aluminium or other materials.