Strength and Elasticity of Structural Members |
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angle-irons beam supported bending moment diagram bottom flange butt joint cantilever centre of area centre of gravity chord compressive stress constant counter brace cross section curve dead load diagonal diameter distance draw elastic limit equal equation equilibrium F₁ F₂ feet span Find the maximum fixed flange foot run foot-tons funicular girder horizontal component intensity of shearing intensity of stress joint length live load M₁ M₂ maximum bending maximum intensity maximum stress modulus moment of inertia neutral axis normal ordinate parabola parallel pier plane plates polygon portion R₁ R₂ reactions rectangle represent resistance shearing force shearing stress square inch steel strain stress diagram stress due surface taking moments tensile stress tension thickness tons per foot tons per sq tons per square total stress truss uniform load uniformly W₁ W₂ weight wrought iron
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Page 139 - ... the moment of inertia of the area with respect to a parallel centroidal axis plus the product of the area and the square of the distance between the two axes.
Page 87 - moment of a force" is necessary. Since the tendency to bending, to which a given beam is subject at any point, depends upon the moments of the stresses about that point, it is obvious that the relative strengths of beams may be measured in terms of moments. The bending moment at any given section is the algebraic sum of all the external forces acting on one side of the section. Since it is at the point where the greatest bending moment occurs that the beam is subjected to the greatest stress, it...
Page 311 - Calculus for Engineers. BY JOHN PERRY, ME, D.SC, FRS, Professor of Mechanics and Mathematics in the Royal College of Science, London ; Vice-President of the Physical Society; Vice-President of the Institution of Electrical Engineers.
Page 313 - Hospital ; AP BEDDARD, MA, MD, Demonstrator of Physiology, Guy's Hospital; JS EDKINS, MA, MB, Lecturer in Physiology and Demonstrator of Physiology, St. Bartholomew's Hospital; LEONARD HILL, MB, FRS, Lecturer on Physiology, London Hospital Medical School; and JJR MACLEOD, MB Copiously Illustrated. New and Revised Edition.
Page 87 - The bending moment at a transverse section of a beam is the algebraic sum of the moments about the section of all the forces acting on one (either) side of the section concerned.
Page 240 - ... plus -fa of an inch for each joint between the plates to allow for uneven surfaces which prevent closer contact. This grip must be increased in the ratio of the area of the hole to area of the rivet material, the hole usually being ^ of an inch larger in diameter than the rivet.
Page 138 - Iy, or the polar moment of inertia is equal to the sum of the moments of inertia about any two axes at right angles to each other in the plane of the area and intersecting at the pole.