Staircase method

ISO 7765-1, Plastics film and sheeting - Determination of impact resistance by the free-falling dart method - Part 1 Staircase methods, 1988. 

Selected entries from Methods in Enzymology [vol, page(s)] Median effective dose, 235, 29, 31, 33 determination of median infectious dose, 235, 29-39 median lethal dose, 235, 29 moving average interpolation, 235, 32-34, 36-37, 39 probit analysis, 235, 31-36, 39 Reed-Muench method, 235, 30, 33-35 staircase method, 235, 33, 37-39 median response, 235, 29 dose range for animal experiments, 235, 29 50% end-point determination, 235, 29-30. 

T.W. Anderson et al, NAVORD Rept 65-46 (1946) described seven varieties of staircase method including the Bruceton test. Natrella (Ref 42a) also gives several References to other discussions of the up-and-down or staircase method of testing... 

Run-Down Method. A statistical testing procedure developed at Frankford Arsenal, Philadelphia (Ref 1) which produces a more complete frequency and probability of reaction curve than the Bruceton, up-and-down, or staircase methods (see under Impact, Initiation of Explosion by in Vol 7, 136-R to I37-L). Although a larger number of tests is used than in the latter procedures, the method makes possible a better evaluation of the distribution of the population. Starting at a level expected to be between 0%... 

Cyclic voltammetry 0 = RT/nFv v, scan rate. Staircase methods 6 = duration of the forward pulse. Steady-state methods S = 5conv Transient methods, 5 =... 

There are two possibilities for performing a frontal chromatography experiment for the purpose of the determination of equilibrium isotherms. The step-series method uses a series of steps starting from C = 0 to C +i. After each experiment, the column has to be reequilibrated and a new step injection with a different end concentration C +i can be performed. In the staircase method, a series of steps is performed in a single run with concentration steps from 0 to Q, Q to C2,.. ., C to C +i. The column does not have to be reequilibrated after each step and, therefore, the staircase method is faster than the step-series method. Both modes of frontal analysis give very accurate isotherm results. 

The up-and-down method, also called the Bruceton or staircase method, is a widely used statistical procedure for the determination of the height at which 50% of the samples detonate or react and its standard deviation [17,18]. The advantages and disadvantages of the method are described elsewhere [18-20] basically the test gives a reliable 50% value but not a reliable standard deviation. The number of tests required at each height also has been investigated [21]. 

Formally, the design of an absorber with respect to plate number and cross-sectional area can be performed analogously to a rectification by means of the staircase method. Henry s law is often used as equilibrium relationship (Equation 2.3.3-1) ... 

Fig. 2.3.3-S Design of an absorber column by the staircase method, a) Determination of the minimum amount of absorption liquid, b) Determination of the optimum amount of absorption liquid.

The data acquisition protocols depicted in Figs. 11(a) and (b), as well as the staircase method shown in Fig. 11(c) are quite commonly employed [98, 124-126]. 

Table la.24 Fatigue limit (2x10 cycles) by the staircase method of ... 

EN 1411 Thermoplastics pipes - determination of resistance to external blows by the staircase method. 

Fig. 5. T5rpical results of a dart-drop test using the staircase method of analysis (12). To convert J to ft-lbf, divide by 1.35. Courtesy of the Society of Plastics Engineers.

UNI EN ISO 7765-1, Plastics Film and Sheeting - Determination of Impact Resistance by the Free-Falling Dart Method - Part 1 Staircase Methods, 2005. 

Another variation of potentiodynamic polarization is the potentio-staircase method which refers to a technique for polarizing an electrode in a series of potential steps where the time spent at each potential is constant, while the current is often allowed to stabilize prior to changing the potential to the next step. The step increase may be small, in which case, the technique resembles a potentiodynamic curve [6]. 

As is shown in Figure 4, the S-N curve decreases continuously and turns less sharply at about 5 x 10 cycles, therefore no horizontal asymptote exits and the fatigue limit is not able to be determined. The fatigue strengths determined using staircase method are 256 10 MPa for the weld joints. 

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