New Constructions in Graphical Statics |
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Page 9
... , S = Σ ( P ) Moment of flexure , M = ( P ) Curvature , = 1 M P ' : = R EI Total bending , B = Σ ( P ' ) = ( M ) Deflection , D = ≥ ( P'æ ) = Σ ( 1 ) EI 6 A few trials will enable us to find the INTRODUCTORY FORMULE AND THEOREMS.
... , S = Σ ( P ) Moment of flexure , M = ( P ) Curvature , = 1 M P ' : = R EI Total bending , B = Σ ( P ' ) = ( M ) Deflection , D = ≥ ( P'æ ) = Σ ( 1 ) EI 6 A few trials will enable us to find the INTRODUCTORY FORMULE AND THEOREMS.
Page 10
... deflections of the girder . these last are proportional to the actual Hence a second equilibrium polygon , so ... deflected girder . The first equilibrium polygon having the ordinates ym may be called the mo- ment polygon . It may be ...
... deflections of the girder . these last are proportional to the actual Hence a second equilibrium polygon , so ... deflected girder . The first equilibrium polygon having the ordinates ym may be called the mo- ment polygon . It may be ...
Page 11
... deflection depends both upon the amount of the bending at A , and upon its distance from 0. Hence the deflection from the tangent at A is proportional to ( Mx ÷ I ) which is equation ( 5 ) or ( 5 ' ) . It is evident from the nature of ...
... deflection depends both upon the amount of the bending at A , and upon its distance from 0. Hence the deflection from the tangent at A is proportional to ( Mx ÷ I ) which is equation ( 5 ) or ( 5 ' ) . It is evident from the nature of ...
Page 12
... deflection yd will be the same as that of a horizontal girder of the same cross section , and having the same which applies to the entire areas , but horizontal span , upon which the same also y = y ' + y " moments M act at the same ...
... deflection yd will be the same as that of a horizontal girder of the same cross section , and having the same which applies to the entire areas , but horizontal span , upon which the same also y = y ' + y " moments M act at the same ...
Page 13
... deflections , which the reader can easily enunciate for himself . Before entering upon the particular discussions and constructions we have in view , a word or two on the general question as to the manner in which the problem of the ...
... deflections , which the reader can easily enunciate for himself . Before entering upon the particular discussions and constructions we have in view , a word or two on the general question as to the manner in which the problem of the ...
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New Constructions in Graphical Statics (Classic Reprint) Henry Turner Eddy No preview available - 2017 |
Common terms and phrases
abutment actual angle angle of friction applied weights arch rib Artillery assumed bending mo bending moments Brevet bridge brium polygon cable center of gravity center vertical Cloth compression cone construction convenient crown deflection curve determine dome of masonry draw drawn Edition elongated engravings equal equation equili flexible Gunnery hinge joints hoop tension horizontal thrust Illustrated inertia Infantry intersect load line Louis Arch lune manner Manual ment meridian metal Military moment of inertia moving load negative loading obtain ordi ordinates Ordnance parallel piers plane pole distance polygon e positive load Prop proportional quantities radial ratio resistance Revised Rifle scale second equilibrium polygon segments shear shearing stress span stiffening truss straight girder stresses surface sustained Tactics tangent temperature thickness third closing line tion triangle U. S. Army U. S. Navy vertical resistances wall weight line wood-cuts
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