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Rankine theory information


Rankine's theory (maximum-normal stress theory), developed in 1857 by William John Macquorn Rankine,[1] is a stress field solution that predicts active and passive earth pressure. It assumes that the soil is cohesionless, the wall is frictionless, the soil-wall interface is vertical, the failure surface on which the soil moves is planar, and the resultant force is angled parallel to the backfill surface. The equations for active and passive lateral earth pressure coefficients are given below. Note that φ' is the angle of shearing resistance of the soil and the backfill is inclined at angle β to the horizontal.

For the case where β is 0, the above equations simplify to

  1. ^ Rankine, W. (1857) On the stability of loose earth. Philosophical Transactions of the Royal Society of London, Vol. 147.

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Rankine theory

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Rankine's theory (maximum-normal stress theory), developed in 1857 by William John Macquorn Rankine, is a stress field solution that predicts active and...

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Lateral earth pressure

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considered a rigid mass of soil sliding upon a shear surface. Rankine extended earth pressure theory by deriving a solution for a complete soil mass in a state...

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Rankine cycle

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The Rankine cycle is an idealized thermodynamic cycle describing the process by which certain heat engines, such as steam turbines or reciprocating steam...

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momentum "Rankine–Froude actuator-disk" theory to account for the sudden rotation imparted to the flow by the actuator disk (NACA TN 83, "The Theory of the...

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thermal engineering, the organic Rankine cycle (ORC) is a type of thermodynamic cycle. It is a variation of the Rankine cycle named for its use of an organic...

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Dam

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of dam structures in his 1857 paper On the Stability of Loose Earth. Rankine theory provided a good understanding of the principles behind dam design. In...

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Jack Goody

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Sir John Rankine Goody FBA (27 July 1919 – 16 July 2015) was an English social anthropologist. He was a prominent lecturer at Cambridge University, and...

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Numerology

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vertices, which equal the number of letters in the English alphabet. David Rankine described a system of English gematria using prime numbers which he calls...

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John Dalton

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English chemist, physicist and meteorologist. He introduced the atomic theory into chemistry. He also researched colour blindness; as a result, the umbrella...

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History of thermodynamics

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spectre of the heat death of the universe. In 1854, William John Macquorn Rankine started to make use of what he called thermodynamic function in calculations...

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Adiabatic process

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(8th ed.). W.H.Freeman. p. 48. ISBN 0-7167-8759-8. Rankine, William John MacQuorn (1866). On the theory of explosive gas engines, The Engineer, July 27,...

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Material failure theory

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are used in specialist situations. Maximum principal stress theory – by William Rankine (1850). Yield occurs when the largest principal stress exceeds...

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Rankine Lecture

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contributor to the theory of soil mechanics. This should not be confused with the biennial BGA Géotechnique Lecture. The Rankine Lecture is held in March...

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Heat death of the universe

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then elaborated over the next decade by Hermann von Helmholtz and William Rankine. The idea of the heat death of the universe derives from discussion of...

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Nikola Tesla

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developed under Peck and Brown. The board was filled out with William Birch Rankine and Charles F. Coaney. It found few investors since the mid-1890s were...

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Violence and intersectionality

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Feminist scholars such as Kimberlé Crenshaw, Audre Lorde, and Claudia Rankine, and many others have looked at violence done to African American women...

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Temperature

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alternate, less widely used absolute temperature scale exists called the Rankine scale, made to be aligned with the Fahrenheit scale as Kelvin is with Celsius...

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Steam engine

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The ideal thermodynamic cycle used to analyze this process is called the Rankine cycle. In general usage, the term steam engine can refer to either complete...

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Propeller theory

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describing a mathematical model of an ideal propeller – was developed by W.J.M. Rankine (1865), Alfred George Greenhill (1888) and Robert Edmund Froude (1889)...

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Conservation of energy

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stems from this publication. In 1850, the Scottish mathematician William Rankine first used the phrase the law of the conservation of energy for the principle...

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Entropy

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thermodynamic concept was referred to by Scottish scientist and engineer William Rankine in 1850 with the names thermodynamic function and heat-potential. In 1865...

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Combined cycle power plant

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The turbine's hot exhaust powers a steam power plant (operating by the Rankine cycle). This is a combined cycle gas turbine (CCGT) plant. These achieve...

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Shem HaMephorash

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against the evil spirits of the Ars Goetia or in isolation. Skinner and Rankine explain that de Vigenère and Rudd adopted these triliteral words with '-el'...

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