A Graphical Method for the Evaluation of Principal Strains From Normal Strains

1945 ◽  
Vol 12 (4) ◽  
pp. A209-A210
Author(s):  
Glenn Murphy
Keyword(s):  
Graphical Method ◽  
Graphical Methods ◽  
Principal Strains

Abstract Graphical methods are available for determining principal strains when observed strains are measured along gage lines which make angles of 45 deg or 60 deg with each other. In this paper the author presents a simplified graphical method for the general case in which angles between the gage lines may have any arbitrary values.

A Graphical Method of Solution for Travelling Waves on Transmission Systems with Attenuation

1975 ◽  
Vol 12 (1) ◽  
pp. 78-87
Author(s):  
P. S. Barnett
Keyword(s):  
Transmission Lines ◽  
Graphical Method ◽  
Travelling Waves ◽  
Graphical Methods ◽  
Transmission Systems ◽  
Method Of Solution

Graphical methods of solution for networks containing transmission lines with attenuation but no distortion are presented. These are similar to those available for the solution of travelling waves on lossless transmission lines using the Schnyder-Bergeron method. The equations used are derived and are of the same form as those used in the method of Schnyder and Bergeron. Examples illustrating the graphical methods are given.

Study of the Enwrapping Profiles Associated with Rolling Centrodes by the Minimum Distance Method — Graphical Solution Developed in the CATIA Design Environment

2014 ◽  
Vol 656 ◽  
pp. 181-191
Author(s):  
Virgil Teodor ◽  
Silviu Berbinschi ◽  
Nicuşor Baroiu ◽  
Nicolae Oancea
Keyword(s):  
Minimum Distance ◽  
Graphical Method ◽  
Graphical Methods ◽  
Graphical Solution ◽  
Design Environment ◽  
Distance Method ◽  
Basic Theorem ◽  
Graphical Design

The issue of enwrapping surfaces study can be solved using the basic theorem Olivier or Gohman. Also, are known and used some specific theorems for the study of the enveloping of the helical surfaces. More, they were developed and applied complementary theorems as: “the minimum distance” method or “the inplane generating trajectories family”. The development of the graphical design environment allows the approach of the issue of surface enwrapping using the capabilities of this software. In this paper it is proposed a methodology for application of the “minimum distance method” for generation of the surface associated with a pair of rolling centrodes using various tools: rackgear tool and gear shaped tool. They are presented applications of this graphical method and the results. This proves the quality of the proposed method. The graphical methods have the advantages that are fast, rigorous and intuitive.

A three-dimensional graphical method for shear strain analysis

1994 ◽  
Vol 29 (4) ◽  
pp. 263-266
Author(s):  
S E-D Taher ◽  
A A Almusallam
Keyword(s):  
Graphical Method ◽  
Mathematical Formulation ◽  
Three Dimensional ◽  
Strain Analysis ◽  
Graphical Methods ◽  
Strain Components ◽  
Graphical Technique ◽  
Shearing Strain ◽  
Original Construction

The efficiency of graphical methods for strain analysis depends merely on its simplicity and accuracy. For most strain definitions, the Mohr circle has proved to be the most powerful graphical technique. Unfortunately, its three-dimensional form has limitations concerning the determination of the shearing strain components on a general oblique plane. In this paper, the various deformation quantifiers and the existing extensions to Mohr's method which account for its drawbacks are briefly reviewed. A novel proposal to be appended to Mohr's original construction, allowing its complete generality, is given. It has the form of a simplified complementary triangular construction. A mathematical formulation of the suggested graphical techniques on the basis of Cauchy's formula and vector analysis is carried out.

Simple graphical methods for estimating the confidence region about the orientation of the intersection of two planes

1978 ◽  
Vol 15 (10) ◽  
pp. 1598-1604 ◽  
Author(s):  
D. Cruden ◽  
D. Kelker
Keyword(s):  
Structural Geology ◽  
Rock Mechanics ◽  
Graphical Method ◽  
Confidence Region ◽  
Acute Angle ◽  
Graphical Methods ◽  
Graphical Construction ◽  
Large Size ◽  
Common Plane ◽  
The Common

We give a simple graphical method for the construction on a stereonet of the confidence region for the orientation of the line of intersection of two planes. The method applies when the poles to the planes have been estimated by large and approximately equal numbers of measurements which may be treated as samples from two Fisher distributions of equal and large precision parameters. The method requires the estimation of the acute angle between poles to the planes and the range of the plunges of the poles.When the samples of poles are samples of large size from two Bingham distributions tightly clustered about their common plane, a more complex graphical construction is available. It requires the estimation of scatter of the poles in and perpendicular to the common plane and some simple calculations.The methods are applicable to a variety of problems in structural geology and rock mechanics.

scholarly journals Optimisasi Jumlah Produksi dalam Memperoleh Keuntungan Maksimal Pada Penjualan Dompet dan Tas Jimshoney “NAYA Online Shopping”

2020 ◽  
Vol 1 (1) ◽  
pp. 45-52
Author(s):  
Rochmat Umar
Keyword(s):  
Linear Programming ◽  
Operational Research ◽  
Online Shopping ◽  
Graphical Method ◽  
Optimal Solution ◽  
Sensitivity Test ◽  
Graphical Methods ◽  
Maximum Capacity ◽  
Maximum Profit ◽  
Research Techniques

ABSTRACT Linear programming is one of the most widely used operational research techniques in practice and is known for being easy to understand. The method in solving linear programming in "Naya Online Shopping" is by the graphical method and compared with LINGO software. The purpose of the completion of linear programming is to optimize the amount of production in obtaining maximum profits. And an optimal solution is obtained, namely a maximum profit of IDR 1,750,000. with 50 bags of "ting-ting bags" to be purchased from agents and many "crown wallets" to be purchased from agents of 100 pieces. From the maximum capacity of the shelter 150 pieces can be maximized by purchasing as many as 50 bags and purchasing 100 pieces of wallet. From the sensitivity test, it can be concluded that each capital increase or reduction of IDR 750,000 will result in a gain or loss of IDR 12,500. Completion of linear programming with research into the operation of graphical methods and LINGO software obtained the same value. Keywords: Linear programming, Operations of graphical method operations, LINGO software, sensitivity test ABSTRAK Linear progamming adalah salah satu teknik riset operasi yang paling banyak dipergunakan dalam praktik dan dikenal karena mudah dipahami. Metode dalam penyelesaian linear progamming pada “Naya Online Shopping” yaitu dengan metode grafik dan dibandingkan dengan software LINGO. Tujuan dari penyelesaian linear progamming ini adalah untuk mengoptimalkan jumlah produksi dalam memperoleh keuntungan maksimal. Dan didapatkan solusi optimal yaitu keuntungan maksimum sebesar Rp1.750.000, dengan banyaknya tas “ting-ting bag” yang akan dibeli dari agen sebanyak 50 buah dan banyaknya dompet “crown wallet” yang akan dibeli dari agen sebanyak 100 buah. Dari kapasitas maksimal penampungan 150 buah dapat dimaksimalkan dengan pembelian tas sebanyak 50 buah dan pembelian dompet 100 buah. Dari uji sensitivitas dihasilkan bahwa setiap penambahan atau pengurangan modal sebesar Rp750.000, maka akan didapatkan keuntungan atau kerugian sebesar Rp12.500,. Penyelesaian linear progamming dengan riset operasi metode grafik dan software LINGO didapatkan hasil yang sama nilainya. Kata Kunci: Linear progamming, Riset operasi, Software LINGO, Optimasi, Pemodelan Matematik.

Does Language Matter When Using a Graphical Method for Calculating the Speech Intelligibility Index?

2017 ◽  
Vol 28 (02) ◽  
pp. 119-126 ◽  
Author(s):  
In-Ki Jin ◽  
James M. Kates ◽  
Kathryn H. Arehart
Keyword(s):  
Hearing Loss ◽  
Data Collection ◽  
Research Design ◽  
Speech Intelligibility ◽  
Graphical Method ◽  
Spoken Language ◽  
Graphical Methods ◽  
Data Collection And Analysis ◽  
Importance Function ◽  
Speech Intelligibility Index

Background: Graphical methods for calculating the speech intelligibility index (SII), such as the count-the-dot audiogram, are useful tools in quantifying how much weighted audibility is restored when amplification is used for individuals with hearing loss. The band-importance function (BIF), which is an important component of the SII, depends on the language. Thus, language may affect the prediction of weighted audibility using the graphical SII. Purpose: The purpose of this study was to apply language-specific BIFs to develop and compare graphical SIIs for English, Korean, and Mandarin. Research Design: The graphical SIIs were developed and compared using a research design that applied and analyzed existing datasets. Data Collection and Analysis: Language-specific BIFs and dynamic ranges were used to derive graphical SIIs for English, Korean, and Mandarin. SII predictions were compared by calculating the language-specific predictions for the same audiometric configurations. Results: The graphical SIIs for English, Korean, and Mandarin yielded different unaided and aided predictions for the same audiogram configurations. Conclusions: A graphical SII helps patients easily understand their weighted audibility for unaided and aided conditions; thus, it is a useful counseling tool in the clinic. The most accurate graphical SII’s will, however, be based on a patient’s spoken language.

Visualizing the Domain and Range of the Composition of Functions

2005 ◽  
Vol 98 (5) ◽  
pp. 306-311
Author(s):  
Nial Neger ◽  
Michael Frame
Keyword(s):  
Graphical Method ◽  
Graphical Methods ◽  
Real Numbers ◽  
Straightforward Application ◽  
Restricted Domains ◽  
Teachers And Students ◽  
Addition And Subtraction ◽  
Composition Of Functions

Graphical methods for visualizing addition and subtraction of functions are familiar to every teacher. This article presents a simple graphical method for visualizing the composition of functions. This straightforward application enables users to find the domain and range of compositions. Finding the domain by standard approaches is challenging to the point that it often is ignored by composing functions with domains consisting only of real numbers. By contrast, finding the domain of the composition of functions with restricted domains is easy with this method. In addition, teachers and students can generate families of functions in which composition domains undergo all sorts of changes.

scholarly journals II.—Graphical Methods in Field-Geology

1884 ◽  
Vol 1 (4) ◽  
pp. 154-162 ◽  
Author(s):  
A. Harker
Keyword(s):  
Approximate Method ◽  
Graphical Method ◽  
Graphical Methods ◽  
Coal Field ◽  
The South ◽  
Actual Position ◽  
Mathematical Problems ◽  
Field Geology

In determining the actual position of strata from the appearances presented by their exposed edges in natural and artificial sections, certain mathematical problems are of constant occurrence. To a field-geologist who is not content with rough guesses founded on judgments by eye, the solution of these problems is a matter of importance, and methods have accordingly been given for some of those most frequently met with. These solutions take the form of (1.) trigonometrical formulæ, which can be applied only with the aid of trigonometrical and logarithmic tables; (2.) tables specially prepared from these formulæ for use in the field; (3.) graphical methods, requiring only a ruler, scale and protractor, which may be conveniently combined in one instrument. Of the first kind is the formula for deducing the true dip of strata from two apparent dips, given in Green's Geology (p. 341, 1st ed.), etc. Among special tables are those of Mr. Jukes for finding the apparent dip in any direction from the true dip, and for connecting the dip, thickness and depth of beds: these tables are given in the appendix to the Survey Memoir on the Geology of the South Staffordshire Coal-field, and reproduced in Jukes's “Manual of Geology.” Graphical methods have been used for finding the true dip from two apparent dips: a method partly graphical but requiring a table of cotangents is given in Phillips's “Treatise on Geology” (p. 298, 5th ed.), and also by the Rev. E. Hill (Geol. Mag. 1876, p. 334); a purely graphical method by Mr. W. H. Dalton (Geol. Mag. 1873, p. 332); and an approximate method by Mr. Penning (Geol. Mag. 1876, p. 236), reproduced in his “Field Geology.” As Prof. Green has pointed out (ib. p. 377), the last-named method is equivalent to taking the angle for its tangent, and so applicable only to small angles of dip. Mr. Dalton's solution (loc. cit. p. 334) of another question, to find the effect on strata already inclined of a second tilt in a new direction, is only an approximation, and cannot be applied if the dips are considerable. It is erroneously assumed that the inclination of the strata in a direction at right angles to that of the second tilt is unaltered by the tilting.

Graphical Methods for Estimating Parameters in Simple Models of Fisheries

1975 ◽  
Vol 32 (11) ◽  
pp. 2163-2168 ◽  
Author(s):  
Gilbert G. Walter
Keyword(s):  
Graphical Method ◽  
Graphical Methods ◽  
Catch Per Effort ◽  
Simple Models

A graphical method for calculating the coefficients for a Schaefer model of a fishery is introduced. It involves plotting catch per effort vs. effort data and then correcting the values for disequilibrium of the fishery. A hypothetical and a realistic example are presented.

Relation of Statistically Significant, Abnormal, and Typical WAIS-R VIQ-PIQ Discrepancies to Full Scale IQs

2000 ◽  
Vol 16 (2) ◽  
pp. 107-114 ◽  
Author(s):  
Louis M. Hsu ◽  
Judy Hayman ◽  
Judith Koch ◽  
Debbie Mandell
Keyword(s):  
Graphical Method ◽  
The United States ◽  
Full Scale ◽  
True Score ◽  
Absolute Value ◽  
Normative Population ◽  
The Us ◽  
The Mean ◽  
And Performance ◽  
Quadratic Models

Summary: In the United States' normative population for the WAIS-R, differences (Ds) between persons' verbal and performance IQs (VIQs and PIQs) tend to increase with an increase in full scale IQs (FSIQs). This suggests that norm-referenced interpretations of Ds should take FSIQs into account. Two new graphs are presented to facilitate this type of interpretation. One of these graphs estimates the mean of absolute values of D (called typical D) at each FSIQ level of the US normative population. The other graph estimates the absolute value of D that is exceeded only 5% of the time (called abnormal D) at each FSIQ level of this population. A graph for the identification of conventional “statistically significant Ds” (also called “reliable Ds”) is also presented. A reliable D is defined in the context of classical true score theory as an absolute D that is unlikely (p < .05) to be exceeded by a person whose true VIQ and PIQ are equal. As conventionally defined reliable Ds do not depend on the FSIQ. The graphs of typical and abnormal Ds are based on quadratic models of the relation of sizes of Ds to FSIQs. These models are generalizations of models described in Hsu (1996) . The new graphical method of identifying Abnormal Ds is compared to the conventional Payne-Jones method of identifying these Ds. Implications of the three juxtaposed graphs for the interpretation of VIQ-PIQ differences are discussed.

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