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Differential transform method for free vibration analysis of a moving beam

  • Yesilce, Yusuf
    • Structural Engineering and Mechanics
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    • v.35 no.5
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    • pp.645-658
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    • 2010
  • In this study, the Differential Transform Method (DTM) is employed in order to solve the governing differential equation of a moving Bernoulli-Euler beam with axial force effect and investigate its free flexural vibration characteristics. The free vibration analysis of a moving Bernoulli-Euler beam using DTM has not been investigated by any of the studies in open literature so far. At first, the terms are found directly from the analytical solution of the differential equation that describes the deformations of the cross-section according to Bernoulli-Euler beam theory. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the differential equation of the motion. The calculated natural frequencies of the moving beams with various combinations of boundary conditions using DTM are tabulated in several tables and are compared with the results of the analytical solution where a very good agreement is observed.

The Availability of Access Features in Children's Non-Fiction

  • Ladd, Patricia R.
    • International Journal of Knowledge Content Development & Technology
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    • v.2 no.1
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    • pp.5-16
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    • 2012
  • This study analyzes the availability of access features in children's non-fiction as compared to their prevalence in adult non-fiction because such features are an important part of the research process increasingly demanded of younger and younger students in schools. Access features studied include: table of contents, index, bibliography, endnotes/footnotes, glossary, and suggestions for further reading list. This study found that children's non-fiction books were less likely to include bibliographies or endnotes, but more likely to include glossaries or suggested reading lists. Tables of contents and indexes were the two most popular access features in each section. Results are divided by Dewey Decimal Classification classes.

Three-point bending of beams with consideration of the shear effect

  • Magnucki, Krzysztof;Paczos, Piotr;Wichniarek, Radosław
    • Steel and Composite Structures
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    • v.37 no.6
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    • pp.733-740
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    • 2020
  • The subject of the paper pertains to simply supported beams with bisymmetrical cross sections under three-point bending with consideration of the shear effect. The deformation of a planar cross section of the beam is described taking into account the assumed nonlinear hypothesis-theory. Two differential equations of equilibrium are obtained based on the principle of stationary potential energy. This system is analytically solved and the shear coefficients and deflections of the beams are derived. Moreover, the Young's modules of the materials and deflections of the beams are experimentally determined on a test stand. The results of the studies are specified in tables and compared.

A taxonomic study of Korean Juncus based on the anatomical characters (한국산 골풀속의 해부학적 형질에 의한 분류학적 연구)

  • Jang, Chang-Seok;Oh, Byoung-Un
    • Korean Journal of Plant Taxonomy
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    • v.46 no.4
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    • pp.392-404
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    • 2016
  • The anatomical characters of the 19 taxa of Korean Juncus were reviewed in order to examine their significance in taxonomy. Cross-section analyses were conducted on the stem, leaf, and capsule. Descriptions, line drawings, tables, and a species key of Korean Juncus are provided for species identification based on anatomical characters. The results of this study showed that the arrangements of the vascular bundle, fiber, and air-space structure in the stems as well as the arrangements of the vascular bundle and parenchyma in the leaves and the development of placenta in capsules are the key characters to be used when classifying each species of Juncus. It was revealed that the studied anatomical features were more useful for identification at the subgenera and section levels than at the species level. Therefore, these anatomical characters used in conjunction with external morphological features will make a valuable contribution to establishing a natural classification system for Juncus.

The alternative Method to Finish Modular Exponentiation and Point Multiplication Processes

  • Somsuk, Kritsanapong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.15 no.7
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    • pp.2610-2630
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    • 2021
  • The aim of this paper is to propose the alternative algorithm to finish the process in public key cryptography. In general, the proposed method can be selected to finish both of modular exponentiation and point multiplication. Although this method is not the best method in all cases, it may be the most efficient method when the condition responds well to this approach. Assuming that the binary system of the exponent or the multiplier is considered and it is divided into groups, the binary system is in excellent condition when the number of groups is small. Each group is generated from a number of 0 that is adjacent to each other. The main idea behind the proposed method is to convert the exponent or the multiplier as the subtraction between two integers. For these integers, it is impossible that the bit which is equal to 1 will be assigned in the same position. The experiment is split into two sections. The first section is an experiment to examine the modular exponentiation. The results demonstrate that the cost of completing the modular multiplication is decreased if the number of groups is very small. In tables 7 - 9, four modular multiplications are required when there is one group, although number of bits which are equal to 0 in each table is different. The second component is the experiment to examine the point multiplication process in Elliptic Curves Cryptography. The findings demonstrate that if the number of groups is small, the costs to compute point additions are low. In tables 10 - 12, assigning one group is appeared, number of point addition is one when the multiplier of a point is an even number. However, three-point additions are required when the multiplier is an odd number. As a result, the proposed method is an alternative way that should be used when the number of groups is minimal in order to save the costs.

Survival of Stomach Cancer Cases in Khon Kaen, Thailand 2000-2012

  • Nanthanangkul, Sirinya;Suwanrungruang, Krittika;Wiangnon, Surapon;Promthet, Supannee
    • Asian Pacific Journal of Cancer Prevention
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    • v.17 no.4
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    • pp.2125-2129
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    • 2016
  • Background: Stomach cancer is an aggressive malignancy that is difficult to detect at an early stage and therefore is characterized by poor survival rates. Over the last two decades, there has been no report of gastric cancer survival in Khon Kaen province, Thailand. The aim of this retrospective cohort study was to provide up-to-date information about the survival of gastric cancer patients in this province. Materials and Methods: Data from Khon Kaen population-based cancer registry, Faculty of Medicine, Khon Kaen University were newly obtained on 650 patients who were diagnosed with stomach cancer during the period 1 January, 2000 to 31 December, 2012. These were then followed up until death or the end of the study (31 December 2014). We calculated the observed survival with the actuarial life table method, and relative survival, defined as the ratio of observed survival in the group of the stomach cancer patients to the expected survival in the entire Thai population from the estimated generation life tables for Thailand of five-year birth cohorts from 1900 - 2000. Results: The 5 year observed and 5 year relative survival rates were 17.2 % (95% CI: 13.54-21.14) and 18.2 % (95% CI: 14.3-22.4), respectively. The highest 5 year relative survival rates were demonstrated among patients aged 45-65, with stage I or II lesions, with adenocarcinomas, with a body of stomach location, well differentiated and receiving surgery and/or chemotherapy. Conclusions: The observed and relative survival rates were close to each other. Our findings provide basic information beneficial to development of an effective treatment system and appropriately improved population-based cancer registration.

Standardization of composite connections for trapezoid web profiled steel sections

  • Saggaff, A.;Tahir, M.M.;Sulaiman, A.;Ngian, S.P.;Mirza, J.
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.765-784
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    • 2015
  • Connections are usually designed either as pinned usually associated with simple construction or rigid normally is associated with continuous construction. However, the actual behaviour falls in between these two extreme cases. The use of partial strength or semi-rigid connections has been encouraged by Euro-code 3 and studies on semi-continuous construction have shown substantial savings in steel weight of the overall construction. Composite connections are proposed in this paper as partial or full strength connections. Standardized connection tables are developed based on checking on all possible failure modes as suggested by "component method" for beam-to-column composite connection on major axis. Four experimental tests were carried out to validate the proposed standardised connection table. The test results showed good agreement between experimental and theoretical values with the ratio in the range between 1.06 to 1.50. All tested specimens of the composite connections showed ductile type of failure with the formation of cracks occurred on concrete slab at maximum load. No failure occurred on the Trapezoidal Web Profiled Steel Section as beam and on the British Section as column.

Biochemical Studies on Korean Fermented Foods. (VII) A Study on Biochemical Process during the Fermentation of Kanjang. (한국발효식품에 대한 생물화학적 연구 (제7보) 간장 효소에 따르는 발효화합물의 생물화학적변화에 대하여)

  • Choi, Sook-Hyung;Haw, Kum
    • YAKHAK HOEJI
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    • v.4 no.1
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    • pp.14-16
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    • 1959
  • In order to confirm the biochemical process of the fermentation from soybean to maiju and of the fermentation from maiju to kanjang and dainjang, the introgen distributions of soybean, maiju, kanjang, and dainjang are studied on protein nitrogen, peptide nitrogen, amino nitrogen and volatile nitrogen. And the contents of amino nitrogen, peptide nitrogen, and true protein nitrogen to the total nitroge of soybean, maiju, kanjang, and dainjang are shown in table 1 and the ratios are shown in table 2 and the figure. According to the results indicated in the tables and figure, the following conclusions are summerized. 1. The main biochemical process at the fermentation from soybean to maiju would be the degradation from protein in soybean to peptide compounds in maiju. 2. The main biochemical process at the fermentation from maiju to kanjang and dainjand would be the degradation from peptide compounds in maiju to amino nitrogen compounds in kanjang and dainjang. 3. However bacause the protein nitrogen indicated as the ratio of protein nitrogen to total nitrogen is contained still higher content in dainjang. It is assumed that there might be two kinds of proteins in soybean one is the protein which could be converted to peptides at the maiju fermentation and to amino nitrogen compounds lastly at the kanjang fermentation. The other is the protein which would not be effected at these fermentation at all remaining as the protein nitrogen in dainjang. One of the finished products. 4. It can be indicated that the process from maiju to kanjang and dainjang would be due to the fermentation as indicated by HAW and CHOI.

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Strongest Static Arches with Constant Volume (일정체적 정적 최강아치)

  • Lee, Byoung Koo;Oh, Sang Jin;Lee, Tae Eun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.5A
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    • pp.477-486
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    • 2009
  • This paper deals with the strongest static arches with the solid regular polygon cross-section. Both span length and volume of arch are always held constant regardless the shape functions of cross-sectional depth of regular polygon. The normal stresses acting on such arches are calculated when both static vertical and horizontal point loads are subjected. By using the calculating results of stresses, the optimal shapes of strongest static arches are obtained, under which the maximum normal stress become to be minimum. For determining the redundant of such indeterminate arches, the least work theorem is adopted. As the numerical results, the configurations, i.e. section ratios, of the strongest static arches are reported in tables and figures. The results of this study can be utilized in the field of the minimum weight design of the arch structures.

Differential transform method and Adomian decomposition method for free vibration analysis of fluid conveying Timoshenko pipeline

  • Bozyigit, Baran;Yesilce, Yusuf;Catal, Seval
    • Structural Engineering and Mechanics
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    • v.62 no.1
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    • pp.65-77
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    • 2017
  • The free vibration analysis of fluid conveying Timoshenko pipeline with different boundary conditions using Differential Transform Method (DTM) and Adomian Decomposition Method (ADM) has not been investigated by any of the studies in open literature so far. Natural frequencies, modes and critical fluid velocity of the pipelines on different supports are analyzed based on Timoshenko model by using DTM and ADM in this study. At first, the governing differential equations of motion of fluid conveying Timoshenko pipeline in free vibration are derived. Parameter for the nondimensionalized multiplication factor for the fluid velocity is incorporated into the equations of motion in order to investigate its effects on the natural frequencies. For solution, the terms are found directly from the analytical solution of the differential equation that describes the deformations of the cross-section according to Timoshenko beam theory. After the analytical solution, the efficient and easy mathematical techniques called DTM and ADM are used to solve the governing differential equations of the motion, respectively. The calculated natural frequencies of fluid conveying Timoshenko pipelines with various combinations of boundary conditions using DTM and ADM are tabulated in several tables and figures and are compared with the results of Analytical Method (ANM) where a very good agreement is observed. Finally, the critical fluid velocities are calculated for different boundary conditions and the first five mode shapes are presented in graphs.