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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.
The method adapts the strip method and is based on an elastic analysis of torsionally restrained two-way rectangular slabs with a uniformly distributed load. Marcus introduced a correction factor to the existing Rankine Grashoff theory in order to account for torsional restraints at the corners.
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 ...
Waffle slabs are preferred for spans greater than 40 feet (12 m), because, for a given mass of concrete, they are much stronger than flat slabs, flat slabs with drop panels, two-way slabs, one-way slabs, and one-way joist slabs. [2] Section of a waffle slab including beam, ribs, and column head
Slab of target. Imagine a beam of particles being shot through a target, and consider an infinitesimally thin slab of the target (see the figure). [1] The atoms (or particles) that might stop a beam particle are shown in red. The magnitude of the mean free path depends on the characteristics of the system.
In an analogous way, one can obtain finite difference approximations to higher order derivatives and differential operators. For example, by using the above central difference formula for f ′(x + h / 2 ) and f ′(x − h / 2 ) and applying a central difference formula for the derivative of f ′ at x, we obtain the central difference approximation of the second derivative of f:
There are two possible definitions which differ in the ordering of the coefficients: a filter for filtering via discrete convolution or via a matrix-vector-product. The coefficients given in the table above correspond to the latter definition. The theory of Lagrange polynomials provides explicit formulas for the finite difference coefficients. [4]
Slabs are one of the greatest consumers of concrete in many buildings, [14] so reducing the slab mass can make a relatively large difference to the environmental impact of a building's construction. Biaxial slabs may be marginally cheaper than solid slabs, partly due to the lower mass.