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Hillman and Grassl gave the first proof that illuminates the role of hooks in 1976 by proving a special case of the Stanley hook-content formula, which is known to imply the hook length formula. [6] Greene , Nijenhuis , and Wilf found a probabilistic proof using the hook walk in which the hook lengths appear naturally in 1979. [ 7 ]
Rebar (short for ... Mass per metre length, kg/m 12 113 0.888 16 201 1.58 20 314 ... If a single strand of stirrup with a hook at each end was required, this would ...
The direct stress is transferred from the concrete to the bar interface so as to change the tensile stress in the reinforcing bar along its length. This load transfer is achieved by means of bond (anchorage) and is idealized as a continuous stress field that develops in the vicinity of the steel-concrete interface.
Reinforced concrete, also called ferroconcrete, is a composite material in which concrete's relatively low tensile strength and ductility are compensated for by the inclusion of reinforcement having higher tensile strength or ductility.
In mathematics, specifically in representation theory, the Frobenius formula, introduced by G. Frobenius, computes the characters of irreducible representations of the symmetric group S n. Among the other applications, the formula can be used to derive the hook length formula .
Fig 4: These 2 anchors may have the same overall length, but very different Effective Embedment Depths, hef Fig 5: These 2 anchors have different concrete load interactions, where the footed anchor is more susceptible to side blow-out in thin wall sections
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Reinforcing rebar is placed axially in the column to provide additional axial stiffness. Accounting for the additional stiffness of the steel, the nominal loading capacity P n for the column in terms of the maximum compressive stress of the concrete f c ' , the yield stress of the steel f y , the gross cross section area of the column A g , and ...