Voussoir Arches Applied to Stone Bridges, Tunnels, Domes and Groined ArchesD. Van Nostrand, 1879 - 196 páginas |
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Página 15
... of beams , that the forces exerted by the fibres and their consequent compressions or extensions , within the limits of elas- ticity , are directly as their distance from the neutral axis , or point of no strain , 15.
... of beams , that the forces exerted by the fibres and their consequent compressions or extensions , within the limits of elas- ticity , are directly as their distance from the neutral axis , or point of no strain , 15.
Página 16
William Cain. the neutral axis , or point of no strain , shown in the " effect " diagram of both figures . 6. PROP . - If the joint BD is a plane joint ; i.e. , can offer compressive , but no tensile resistances , then if R falls inside ...
William Cain. the neutral axis , or point of no strain , shown in the " effect " diagram of both figures . 6. PROP . - If the joint BD is a plane joint ; i.e. , can offer compressive , but no tensile resistances , then if R falls inside ...
Página 20
... strain t or c , we know from the theory of flexure that Moment of R at a , about A = R ( d + } h ) = { fh ' , whence , 6R ( d + h ) f = = t = c ( 1 ) h ' R The uniform compression r h R h2 ·· ( t — r ) = · - ( 6d + 2h ) .. ( 2 ) R c + r ...
... strain t or c , we know from the theory of flexure that Moment of R at a , about A = R ( d + } h ) = { fh ' , whence , 6R ( d + h ) f = = t = c ( 1 ) h ' R The uniform compression r h R h2 ·· ( t — r ) = · - ( 6d + 2h ) .. ( 2 ) R c + r ...
Página 23
... strain in the beam lies nearer the edge DH , where the joint can oppose no tensile resistances than when we suppose them exerted . 14. Let us now compare the strains p ' and r " . Representing R by the area of the triangle whose base is ...
... strain in the beam lies nearer the edge DH , where the joint can oppose no tensile resistances than when we suppose them exerted . 14. Let us now compare the strains p ' and r " . Representing R by the area of the triangle whose base is ...
Página 26
... strain " on the most compressed fiber exceeds the ultimate strength of the material and crushing ensues , followed or accompanied by rotation . For very light arches this crushing may not be perceptible . Thus , in the experiment given ...
... strain " on the most compressed fiber exceeds the ultimate strength of the material and crushing ensues , followed or accompanied by rotation . For very light arches this crushing may not be perceptible . Thus , in the experiment given ...
Otras ediciones - Ver todas
Voussoir Arches Applied to Stone Bridges, Tunnels, Domes and Groined Arches William Cain Sin vista previa disponible - 2010 |
Voussoir Arches Applied to Stone Bridges, Tunnels, Domes and Groined Arches ... William Cain Sin vista previa disponible - 2017 |
Términos y frases comunes
abutment acting actual line arch ring assumed bridge center line center of gravity center of pressure cloth column combined compressed edge construction crown joint crown to joint cubic culvert curve of pressures deformation depth of arch depth of keystone distance dome draw drawn earth edges of joints Engineer equal exerted extrados feet force diagram formulæ groin haunches hori horizontal forces horizontal resistances increase the depth inner third intersection intrados joint of rupture joints open lever arm limit at joint line of pressures load lower middle third lune solid middle third limit NOSTRAND'S numbers pier radius Rankine's resultant on joint segmental bridge side simple arch soffit span spandrel thrust springing joint square foot strain summit supposed surface tangent tensile resistances theory thickness tion tons total horizontal thrust trapezoid true curve tunnel arch upper middle third ures voussoir arch weight whence width
Pasajes populares
Página 140 - X 1.8 = 116.64 32.4 155.52 97.2 272.16 272.16-^97.2 = 2. 80 feet, which is the distance of the center of gravity of the trapezoid from the rear face of the wall. The pressure of the earth on the rear wall, as stated above, is very uncertain; a value for it has already been computed (in the example in section 225) as 5,400 pounds. This value is probably excessive, except under the most unfavorable conditions. The point of application of...
Página 125 - The thickness of an underground arch at the crown may be made less than at the sides in the ratio b' a' : but the more common practice is to make it uniform.
Página 166 - ... has, however, essayed to do so — with what success, the following will show. He says: "The consideration of this principle does not belong to Elementary Geometry, and is entirely beyond our author's grasp. The statement of the law involved in such cases is, The volume of a...
Página 135 - In central curves the rectangles under the segments of secants are as the squares of the diameters to which they are parallel.