{"id":12622,"date":"2023-02-11T11:00:33","date_gmt":"2023-02-11T11:00:33","guid":{"rendered":"http:\/\/141.23.68.248\/wp\/?page_id=12622"},"modified":"2023-02-14T10:34:17","modified_gmt":"2023-02-14T10:34:17","slug":"arch-bridge","status":"publish","type":"page","link":"http:\/\/141.23.68.248\/wp\/?page_id=12622","title":{"rendered":"Arch Bridge"},"content":{"rendered":"<h3>1.Background:<\/h3>\n<p>The double-layer stacked arch is a new type of structure developed in recent years. Compared with<br \/>\nthe conventional tie-rod arch, the shape is more graceful and dynamic. The curved arch bridge in this<br \/>\ndesign belongs to the overhead arch bridge according to the position of the carriageway. If viewed<br \/>\nfrom the cross-section of the main arch ring, it is composed of several parts such as arch ribs, arch<br \/>\nwaves, arch plates and transverse connections. Since the arch wave between arch ribs is also curved<br \/>\nand orthogonal to the curve of the main arch circle, it is necessary to analyze the designed structure<br \/>\nfirst.<\/p>\n<p>&nbsp;<\/p>\n<h3>2. Structural static analysis:<\/h3>\n<p>Rigid connections are set between the side span arch ribs and the main girder, and between the main<br \/>\ngirder and the bridge deck unit.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-12628\" src=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.1.png\" alt=\"fig-1\" width=\"1133\" height=\"438\" srcset=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.1.png 1133w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.1-300x116.png 300w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.1-1024x396.png 1024w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.1-520x201.png 520w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.1-740x286.png 740w\" sizes=\"auto, (max-width: 1133px) 100vw, 1133px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>The boundary conditions of the completed bridge are shown in the table. x represents the<br \/>\nlongitudinal bridge direction, y represents the horizontal bridge direction, and z represents the<br \/>\nvertical direction. 0 means free, 1 means fixed.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-12629\" src=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.2-1024x441.png\" alt=\"fig-2\" width=\"1024\" height=\"441\" srcset=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.2-1024x441.png 1024w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.2-300x129.png 300w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.2-520x224.png 520w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.2-740x319.png 740w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.2.png 1057w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/p>\n<p>The proportion distribution of loads borne by arches and beams directly determines whether the<br \/>\nstress on the arch bridge structure is reasonable. The dead load is transmitted to the main arch<br \/>\nthrough the suspender, and the force of the suspender is the most intuitive expression of the<br \/>\nproportion of the main arch bearing the dead load. Comparing and analyzing the cases where the<br \/>\nsuspender force of the completed bridge bears 33%, 60%, 80% and 100% of the dead load weight, the<br \/>\nforce situation of the main components of the bridge is obtained, and the results are shown in the<br \/>\ntable.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.3.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-12630\" src=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.3-1024x385.png\" alt=\"fig-3\" width=\"1024\" height=\"385\" srcset=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.3-1024x385.png 1024w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.3-300x113.png 300w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.3-520x196.png 520w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.3-740x278.png 740w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.3.png 1170w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>When the boom force is 33% of the dead load, the stress of the main girder is too large, the truss<br \/>\nsection needs to be increased, the amount of steel is increased, and the dead load is also increased.<br \/>\nThe proportion of the structure bearing its own dead load will also increase, and the economy is poor.<br \/>\nIt shows that the dead load distribution ratio of the arch beam is unreasonable. When the boom force<br \/>\nis 60%, 80%, 100%, the force of the main girder and the main arch is small, which meets the<br \/>\nrequirements of the code and has a certain margin. From the point of view of stress, the three<br \/>\ndistribution ratios are all feasible, but from the point of view of the overall stability of the arch bridge<br \/>\n(especially the upper arch) and buckling stability, the main arch is a compression member, and the<br \/>\nstress should not be too large, and the main beam is a bending member. , can give full play to the<br \/>\nadvantage of the high stiffness of the main beam, and the stress of the main arch should be reduced<br \/>\nas much as possible. Comparing the stress level of the arch under the second, third and fourth<br \/>\nworking conditions, the stress level of the arch under the second working condition is the lowest and<br \/>\nthe stability is the best. Therefore, it is finally determined that the boom force bears about 60% of the<br \/>\ndead load weight.<\/p>\n<p>&nbsp;<\/p>\n<h3>3. Slope-span ratio:<\/h3>\n<p>&nbsp;<\/p>\n<p>The rise-span ratio is one of the important parameters of an arch bridge, which has a great influence<br \/>\non the overall force and deformation of the structure. A smaller rise-span ratio makes the axial shape<br \/>\nof the arch closer to that of a flat arch, and the axial force in the arch ribs and tie beams increases,<br \/>\nwhile the vertical stiffness of the structure decreases.<br \/>\nIn the design of this system, the arch axes of the main and auxiliary arch ribs are all quadratic<br \/>\nparabolas. The main arch rib has a relatively high section stiffness and is the main arch structure. The<br \/>\nmain and auxiliary arch ribs are connected by tie rods to form a stable system of space.<\/p>\n<p>Select 5 different engineering rise-span ratios such as 1\/5, 1\/4.5, 1\/4, 1\/3.5, 1\/3 for calculation and<br \/>\nanalysis, (during the calculation, keep the span constant, and obtain different Sagittal Ratio).<\/p>\n<p><a href=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.4.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-12631\" src=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.4-1024x134.png\" alt=\"fig-4\" width=\"1024\" height=\"134\" srcset=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.4-1024x134.png 1024w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.4-300x39.png 300w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.4-520x68.png 520w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.4-740x97.png 740w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.4.png 1236w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>When the rise-span ratio of the main arch rib is small, the stability coefficient of the structure<br \/>\nincreases with the increase of the rise-span ratio. When the rise-span ratio increases to a certain<br \/>\nvalue, the stability coefficient reaches the maximum and the structure is most stable. The rise-span<br \/>\nratio continued to increase, and the stability coefficient showed a downward trend. This is because<br \/>\nthe decrease in rise-span ratio increases the axial pressure of the arch rib, and the axial pressure is<br \/>\ninversely proportional to the geometric stiffness of the member, resulting in a decrease in the overall<br \/>\ntangential stiffness of the arch rib and a decrease in the stability of the structure. When the rise-span<br \/>\nratio is greater than the ideal stable rise-span ratio value, the component force of the stay cables in<br \/>\nthe main arch rib surface increases continuously with the increase of the rise-span ratio, so that the<br \/>\naxial pressure of the arch rib does not decrease but increases. leading to a downward trend in the<br \/>\nstability of the structure. Calculations show that under the condition that other conditions remain<br \/>\nunchanged, there is an ideal rise-span ratio that makes the concrete-filled steel tube double-layer<br \/>\nstacked arch bridge the most stable, so the rise-span ratio of the main arch rib should be as close to<br \/>\nthis value as possible during design.<br \/>\nIn general, the increase of rise-span ratio will significantly reduce the axial force of arch rib and tie<br \/>\nbeam, the deflection of tie beam, the force of boom, and the bending moment, but it is relatively<br \/>\ninsensitive. As the rise-span ratio increases, its influence on the structural force gradually weakens, so<br \/>\nthe higher the rise-span ratio, the better. At the same time, an excessively large rise-span ratio will<br \/>\nincrease the amount of materials and affect the aesthetics of the structure. The choice of rise-span<br \/>\nratio also needs to take into account the requirements of structural force and economical beauty. On<br \/>\nthe whole, the rise-span ratio of double-stacked arch bridges is more appropriate to be around 0.28,<br \/>\nbut not less than 0.25.<\/p>\n<p>&nbsp;<\/p>\n<h3>4.The thickness of the arch ring:<\/h3>\n<p>The arch at the top of the arc of the dome can distribute the pressure to both sides, and the<br \/>\nload-bearing capacity is better. Enhance the sense of depth of the space, but also enrich the visual<br \/>\nexperience. And beautiful and interesting, adding a romantic and elegant atmosphere to the space.<br \/>\nThe arch ring can be made into two forms of equal thickness and unequal thickness. In real life, equal<br \/>\nthickness is generally used. This form of equal thickness will also be used in this design, and it is a<br \/>\nlong-span arch bridge. The value is based on the bridge span, loss The height, building materials and<br \/>\nload size shall be determined through trial calculation.<br \/>\nFor reinforced concrete slab arch thickness:<br \/>\nArch thickness: h =(1\/200~1\/250)L<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-12634\" src=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.5-1024x165.png\" alt=\"fig-5\" width=\"1024\" height=\"165\" srcset=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.5-1024x165.png 1024w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.5-300x48.png 300w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.5-520x84.png 520w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.5-740x119.png 740w, http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/Fig.5.png 1167w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<h3>5. Rigidity of the main arch rib:<\/h3>\n<p>In the stability calculation of CFST double-layer stacked arch bridge, the most critical part is the<br \/>\nselection of CFST arch rib stiffness. The calculation methods of arch rib stiffness mainly include:<br \/>\nconversion section method, superimposed element method and unified theory method. The<br \/>\nconverted section method is based on the principle of equivalent stiffness. The area of CFST is<br \/>\nconverted into the area of steel tubes according to the equivalent principle of compressive stiffness,<br \/>\nand then the stiffness of CFST components is calculated by the basic method. The superimposed<br \/>\nelement method is to divide the concrete section of the steel pipe into two parts, concrete and steel<br \/>\npipe, and consider the coordination of the longitudinal strain of the steel pipe and concrete to obtain<br \/>\nthe stiffness of the member. The basic idea of the unified theory method is to convert the steel pipe<br \/>\nconcrete into a material, select the correct constitutive relations of steel and core concrete under<br \/>\ncomplex stress conditions, and use the equilibrium conditions and deformation coordination<br \/>\nconditions to synthesize the two constitutive relations The combination relationship of components<br \/>\nincludes the tightening effect in the combination relationship, and then establishes the internal and<br \/>\nexternal force imbalance conditions and deformation coordination conditions, and finds the<br \/>\nrelationship between internal force, (or stress) and strain.<br \/>\nAs we all know, in the construction process of composite arch bridge, the main arch, main girder, sling<br \/>\nand auxiliary arch rib support, cast-in-place bridge deck, and pavement of construction bridge deck<br \/>\nmust have the problem of stress superposition. Therefore, it is unreasonable and unrealistic to<br \/>\ncalculate the various components of the cross-section formed by stages as the overall cross-section<br \/>\nformed at one time. Therefore, the stress calculation of the double-layer stacked arch bridge should<br \/>\nconsider the stage-by-stage formation process of the section, and calculate according to the stress<br \/>\nsuperposition method.<\/p>\n<h3>6. Summary:<\/h3>\n<p>Double-layer stacked arch, double-layer steel arch bridge is narrower and taller than ordinary<br \/>\nsingle-layer steel arch bridges due to the configuration of double-layer decks, so its structure and<br \/>\nmechanical behavior are different. The bridge is complicated, so it depends on the actual situation<br \/>\nand is determined after trial calculation.<\/p>\n<p>&nbsp;<\/p>\n<p>Here You can Find the Parametric Model:\u00a0<a href=\"http:\/\/141.23.68.248\/wp\/wp-content\/uploads\/2023\/02\/TianjingWu-475629-1.dyn\">Dynamo File<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1.Background: The double-layer stacked arch is a new type of structure developed in recent years. Compared with the conventional tie-rod arch, the shape is more graceful and dynamic. The curved arch bridge in this design<a class=\"read-more\" href=\"http:\/\/141.23.68.248\/wp\/?page_id=12622\">Continue reading<\/a><\/p>\n","protected":false},"author":182,"featured_media":0,"parent":11929,"menu_order":2,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-12622","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/141.23.68.248\/wp\/index.php?rest_route=\/wp\/v2\/pages\/12622","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/141.23.68.248\/wp\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/141.23.68.248\/wp\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/141.23.68.248\/wp\/index.php?rest_route=\/wp\/v2\/users\/182"}],"replies":[{"embeddable":true,"href":"http:\/\/141.23.68.248\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=12622"}],"version-history":[{"count":2,"href":"http:\/\/141.23.68.248\/wp\/index.php?rest_route=\/wp\/v2\/pages\/12622\/revisions"}],"predecessor-version":[{"id":12641,"href":"http:\/\/141.23.68.248\/wp\/index.php?rest_route=\/wp\/v2\/pages\/12622\/revisions\/12641"}],"up":[{"embeddable":true,"href":"http:\/\/141.23.68.248\/wp\/index.php?rest_route=\/wp\/v2\/pages\/11929"}],"wp:attachment":[{"href":"http:\/\/141.23.68.248\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12622"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}