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Carlo Alberto Castigliano
Carlo Alberto Castigliano (9 November 1847, in Asti – 25 October 1884, in Milan) was an Italian mathematician and physicist known for Castigliano's method for determining displacements in a linear-elastic system based on the partial derivatives of strain energy. Alberto Castigliano moved from the region of his birth, Piedmont in northwestern Italy, to the Technical Institute of Terni (in Umbria) in 1866. After four years in Terni Terni ( , ; lat, Interamna (Nahars)) is a city in the southern portion of the region of Umbria in central Italy. It is near the border with Lazio. The city is the capital of the province of Terni, located in the plain of the Nera river. It is ..., Castigliano moved north again, this time to become a student at the Polytechnic of Turin. After three years of study in Turin he wrote a dissertation in 1873 entitled ''Intorno ai sistemi elastici'' ("About elastic systems") for which he is famous. In his dissertation there appears a theorem which ...
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Castigliano
Castigliano is a surname. Notable persons with that name include: * Carlo Alberto Castigliano (1847–1884), Italian mathematician and physicist * Caroline Castigliano (born c.1960), British fashion designer * Eusebio Castigliano (1921–1949), Italian football player See also * Castigliano's method * Castiglione (surname) Castiglione () is an Italian habitational name from any of numerous places named with this word, from medieval Latin ''castellio'' (genitive ''castellionis'') ‘fortification’, ‘small castle’.http://www.ancestry.com/facts/Castiglione-family-h ... {{surname, Castigliano Italian-language surnames ...
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Piedmont
it, Piemontese , population_note = , population_blank1_title = , population_blank1 = , demographics_type1 = , demographics1_footnotes = , demographics1_title1 = , demographics1_info1 = , demographics1_title2 = , demographics1_info2 = , demographics1_title3 = , demographics1_info3 = , timezone1 = CET , utc_offset1 = +1 , timezone1_DST = CEST , utc_offset1_DST = +2 , postal_code_type = , postal_code = , area_code_type = ISO 3166 code , area_code = IT-21 , blank_name_sec1 = GDP (nominal) , blank_info_sec1 = €137 billion (2018) , blank1_name_sec1 = GDP per capita , blank1_info_sec1 = €31,500 (2018) , blank2_name_sec1 = HDI (2019) , blank2_info_sec1 = 0.898 · 10th of 21 , blank_name_sec2 = NUTS Region , blank_info_sec2 = ITC1 , website www.regione ...
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People From Asti
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ...
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1884 Deaths
Events January–March * January 4 – The Fabian Society is founded in London. * January 5 – Gilbert and Sullivan's ''Princess Ida'' premières at the Savoy Theatre, London. * January 18 – Dr. William Price attempts to cremate his dead baby son, Iesu Grist, in Wales. Later tried and acquitted on the grounds that cremation is not contrary to English law, he is thus able to carry out the ceremony (the first in the United Kingdom in modern times) on March 14, setting a legal precedent. * February 1 – ''A New English Dictionary on historical principles, part 1'' (edited by James A. H. Murray), the first fascicle of what will become ''The Oxford English Dictionary'', is published in England. * February 5 – Derby County Football Club is founded in England. * March 13 – The siege of Khartoum, Sudan, begins (ends on January 26, 1885). * March 28 – Prince Leopold, the youngest son and the eighth child of Queen Victoria and Prin ...
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1847 Births
Events January–March * January 4 – Samuel Colt sells his first revolver pistol to the U.S. government. * January 13 – The Treaty of Cahuenga ends fighting in the Mexican–American War in California. * January 16 – John C. Frémont is appointed Governor of the new California Territory. * January 17 – St. Anthony Hall fraternity is founded at Columbia University, New York City. * January 30 – Yerba Buena, California, is renamed San Francisco. * February 5 – A rescue effort, called the First Relief, leaves Johnson's Ranch to save the ill-fated Donner Party (California-bound emigrants who became snowbound in the Sierra Nevada earlier this winter; some have resorted to survival by cannibalism). * February 22 – Mexican–American War: Battle of Buena Vista – 5,000 American troops under General Zachary Taylor use their superiority in artillery to drive off 15,000 Mexican troops under Antonio López de Santa Anna, defeating the Mexicans the next da ...
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Terni
Terni ( , ; lat, Interamna (Nahars)) is a city in the southern portion of the region of Umbria in central Italy. It is near the border with Lazio. The city is the capital of the province of Terni, located in the plain of the Nera river. It is northeast of Rome and 81 km south of the regional capital, Perugia. The Latin name means "between-two-rivers", in reference to its location on the confluence of the Nera river Nera may refer to: People * Nera Smajic (born 1984), Bosnian-born Swedish footballer * Nera Stipičević (born 1983), Croatian actress * Nera White (1935–2016), American basketball player * André António Ribeiro Novais (born 1988), Portuguese ... ( Ancient Umbrian ''Nahar'', lat, Nār, Nahar) and the Serra stream. When disambiguation was needed, it was referred to as ''Interamna Nahars''. Its inhabitants were known in Latin as ''Interamnātēs Na(ha)rtēs''. Interamna was founded as an Ancient Roman town, albeit settlements in the Terni area well precede th ...
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Umbria
it, Umbro (man) it, Umbra (woman) , population_note = , population_blank1_title = , population_blank1 = , demographics_type1 = , demographics1_footnotes = , demographics1_title1 = , demographics1_info1 = , demographics1_title2 = , demographics1_info2 = , demographics1_title3 = , demographics1_info3 = , timezone1 = CET , utc_offset1 = +1 , timezone1_DST = CEST , utc_offset1_DST = +2 , postal_code_type = , postal_code = , area_code_type = ISO 3166 code , area_code = IT-55 , blank_name_sec1 = GDP (nominal) , blank_info_sec1 = €22.5 billion (2018) , blank1_name_sec1 = GDP per capita , blank1_info_sec1 = €25,400 (2018) , blank2_name_sec1 = HDI (2018) , blank2_info_sec1 = 0.884 · 12th of 21 , blank_name_sec2 = NUTS Region , blank_info_sec2 = ITE , web ...
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Technical Institute Of Terni
Technical may refer to: * Technical (vehicle), an improvised fighting vehicle * Technical analysis, a discipline for forecasting the future direction of prices through the study of past market data * Technical drawing, showing how something is constructed or functions (also known as drafting) * Technical file, set of technical drawings * Technical death metal, a subgenre of death metal that focuses on complex rhythms, riffs, and song structures * Technical foul, an infraction of the rules in basketball usually concerning unsportsmanlike non-contact behavior * Technical rehearsal for a performance, often simply referred to as a technical * Technical support, a range of services providing assistance with technology products * Vocational education, often known as technical education * Legal technicality, an aspect of law See also * Lego Technic, a line of Lego toys * Tech (other) * Technicals (other) * Technics (other) * Technique (other) * Tech ...
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Strain Energy
In physics, the elastic potential energy gained by a wire during elongation with a tensile (stretching) force is called strain energy. For Linear elasticity, linearly elastic materials, strain energy is: : U = \frac 1 2 V \sigma \epsilon = \frac 1 2 V E \epsilon^2 = \frac 1 2 \frac V E \sigma^2 where is Stress (mechanics), stress, is Deformation (engineering), strain, is volume, and is Young's modulus: : E = \frac \sigma \epsilon Molecular strain In a molecule, strain energy is released when the constituent atoms are allowed to rearrange themselves in a chemical reaction.''March's Advanced Organic Chemistry: Reactions, Mechanisms, and Structure,'' Michael B. Smith & Jerry March, Wiley-Interscience, 5th edition, 2001, The external work done on an elastic member in causing it to distort from its unstressed state is transformed into strain energy which is a form of potential energy. The strain energy in the form of elastic deformation is mostly recoverable in the form of mec ...
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Asti
Asti ( , , ; pms, Ast ) is a ''comune'' of 74,348 inhabitants (1-1-2021) located in the Piedmont region of northwestern Italy, about east of Turin in the plain of the Tanaro River. It is the capital of the province of Asti and it is deemed to be the modern capital of Montferrat. History Ancient times and early Middle Ages People have lived in and around what is now Asti since the Neolithic period. Before their defeat in 174 BC by the Romans, tribes of Ligures, the Statielli, dominated the area and the toponym probably derives from ''Ast'' which means "hill" in the ancient Celtic language. In 124 BC the Romans built a ''castrum'', or fortified camp, which eventually evolved into a full city named Hasta. In 89 BC the city received the status of '' colonia'', and in 49 BC that of ''municipium''. Asti become an important city of the Augustan Regio IX, favoured by its strategic position on the Tanaro river and on the Via Fulvia, which linked Derthona (Tortona) to Augusta ...
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Partial Derivative
In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. The partial derivative of a function f(x, y, \dots) with respect to the variable x is variously denoted by It can be thought of as the rate of change of the function in the x-direction. Sometimes, for z=f(x, y, \ldots), the partial derivative of z with respect to x is denoted as \tfrac. Since a partial derivative generally has the same arguments as the original function, its functional dependence is sometimes explicitly signified by the notation, such as in: :f'_x(x, y, \ldots), \frac (x, y, \ldots). The symbol used to denote partial derivatives is ∂. One of the first known uses of this symbol in mathematics is by Marquis de Condorcet from 1770, who used it for ...
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Linear Elasticity
Linear elasticity is a mathematical model of how solid objects deform and become internally stressed due to prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics. The fundamental "linearizing" assumptions of linear elasticity are: infinitesimal strains or "small" deformations (or strains) and linear relationships between the components of stress and strain. In addition linear elasticity is valid only for stress states that do not produce yielding. These assumptions are reasonable for many engineering materials and engineering design scenarios. Linear elasticity is therefore used extensively in structural analysis and engineering design, often with the aid of finite element analysis. Mathematical formulation Equations governing a linear elastic boundary value problem are based on three tensor partial differential equations for the balance of linear momentum and six infinitesimal strain- ...
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