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Author: Louis Melville Milne-Thomson
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 83
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Book Description
Author: Louis Melville Milne-Thomson
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 83
Get Book Here
Book Description
Author: UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Publisher:
ISBN:
Category :
Languages : en
Pages : 39
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Book Description
Author: Louis M. Milne-Thomson
Publisher: Springer Science & Business Media
ISBN: 3642856276
Category : Mathematics
Languages : en
Pages : 274
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Book Description
The term antiplane was introduced by L. N. G. FlLON to describe such problems as tension, push, bending by couples, torsion, and flexure by a transverse load. Looked at physically these problems differ from those of plane elasticity already treated * in that certain shearing stresses no longer vanish. This book is concerned with antiplane elastic systems in equilibrium or in steady motion within the framework of the linear theory, and is based upon lectures given at the Royal Naval College, Greenwich, to officers of the Royal Corps of Naval Constructors, and on technical reports recently published at the Mathematics Research Center, United States Army. My aim has been to tackle each problem, as far as possible, by direct rather than inverse or guessing methods. Here the complex variable again assumes an important role by simplifying equations and by introducing order into much of the treatment of anisotropic material. The work begins with an introduction to tensors by an intrinsic method which starts from a new and simple definition. This enables elastic properties to be stated with conciseness and physical clarity. This course in no way commits the reader to the exclusive use of tensor calculus, for the structure so built up merges into a more familiar form. Nevertheless it is believed that the tensor methods outlined here will prove useful also in other branches of applied mathematics.
Author: L. M. MILNE-THOMSON
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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Contents: The flexure problem The stress component zz in the isotropic case The geometrical parameters of the cross-section The shears xz and yz The displacement The centre of flexure Cross-section a circle Cross-section a circular annulus Cross-section a limacon Cross-section one loop of Bernoulli's lemniscate Half-sections Shear stress functions Timoshenko's stress function Cross-section an ellipse Cross-section an equilateral triangle Gauss's theorem and integration by parts Virtual stresses and Timoshenko's stress function Cross-section an ellipse (virtual stresses) de St Venant's flexure function Cross-section a rectangle Application of the principle of virtual work Cross-section an ellipse (virtual work) Cross-section a rectangle (virtual work).
Author: Louis Melville Milne-Thomson
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 51
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Book Description
Author: Defense Documentation Center (U.S.)
Publisher:
ISBN:
Category : Military art and science
Languages : en
Pages : 1746
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Author: UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Publisher:
ISBN:
Category :
Languages : en
Pages : 39
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Book Description
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 620
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Book Description
Author: United States. Army. Mathematics Research Center
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 684
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Book Description
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 786
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