Mechanics of Materials |
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Common terms and phrases
angle applied axes axial bending bending moment cantilever beam cast iron center of gravity column compressive stress compressive unit-stress computed concentrated loads concrete cross-section cylinder deduced deflection deformation distance elastic curve elastic limit elongation equal equation Euler's formula example factor of safety feet long fiber fixed ends flexure formula forces given gives greater hence hoop horizontal left support material maximum shearing method middle modulus of elasticity moment of inertia neutral axis neutral surface normal occurs P₁ percent plane plate pounds per linear pounds per square pressure Prob R₁ radius ratio reaction rectangular required to find rivets rupture S₁ S1 and S2 section area shaft shearing stresses shearing unit-stress shows side simple beam span specimen square inch static structural steel tangential tensile strength tensile stress tensile unit-stress tension tests thickness timber tion torsion twisting uniform load unit velocity vertical shear weight wrought iron zero
Popular passages
Page 484 - Material which is to be used without annealing or further treatment shall be tested in the condition in which it comes from the rolls. When material is to be annealed or otherwise treated before use, the...
Page 485 - Up to 75 inches wide, 2$ per cent above or 2$ per cent below the theoretical weight. 75 inches wide up to 100 inches wide, 5 per cent above or 3 per cent below the theoretical weight. When 100 inches wide and over, 10 per cent above or 3 per cent below the theoretical weight.
Page 484 - The variation in cross-section or weight of more than 2} per cent, from that specified will be sufficient cause for rejection, except in the case of sheared plates which will be covered by the following permissible variations : a.
Page 484 - For the purposes of this specification the yield point shall be determined by the careful observation of the drop of the beam or halt in the gauge of the testing machine.
Page 485 - The inspector representing the purchaser shall have all reasonable facilities afforded to him by the manufacturer to satisfy him that the finished material is furnished in accordance with these specifications.
Page 483 - The test specimen, when heated to a bright cherry red, shall bend through 180 deg. flat on itself without fracture on the outside of the bent portion.
Page 97 - Then the sum of the moments of the external forces on either side of the section, q | , taken about the axis N, is called A[ ' ^ the bending moment, or simply RiT the moment at N.
Page 98 - The algebraic sum of the moments of the internal stresses is equal to the algebraic sum of the moments of the external forces on either side of the section. These three theoretical laws are the foundation of the theory of the flexure of beams. Their expression maybe abbreviated by introducing the following definitions. 'Resisting shear' is the name given to the algebraic sum of the internal vertical stresses in any section, and 'vertical shear' is the name for the algebraic sum of the external vertical...
Page 478 - For determining modulus of elasticity, the linear compression of the specimen should be observed by a precise compressometer which is attached to the specimen and does not touch the bearing blocks of the machine. Readings of the compressometer should be taken for three loads, the first at about one-fourth, the second at about one-half, and the third at about three-fourths of the elastic limit.
Page 483 - For other material the test specimen may be the same as for sheared plates, or it may be planed or turned parallel throughout its entire length; and in all cases...