CN112001015B - Computer-based beam distribution number measuring and calculating method for multi-beam type precast beam bridge - Google Patents
Computer-based beam distribution number measuring and calculating method for multi-beam type precast beam bridge Download PDFInfo
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Abstract
The invention discloses a computer-based beam distribution number measuring and calculating method of a multi-beam type precast beam bridge; the method comprises the following steps: firstly, calculating the minimum value and the maximum value of the number of transverse beams according to the given bridge width of the bridge; acquiring the number of the beams according to the bridge width W, the maximum beam distance DMAX, the minimum beam distance DMIN, the recommended beam distance D, the outer package width R of the crash barrier and the initial edge beam center to outer edge width DS, wherein the minimum value NBMINR is used for acquiring the number of the beams, the maximum value DLMAXR is used for acquiring the number of the beams, the edge beam center to outer edge width DSR is corrected according to the minimum beam number, the maximum value NBMAXR is used for acquiring the number of the beams, the corrected minimum beam distance DLMINR is used for trial calculation, and the edge beam center to outer edge width DSR is corrected according to the maximum beam number; and then calculating the beam number interval and the beam number intersection of the small mileage side and the large mileage side. The invention is based on the beam distribution quantity of the computer for the given bridge width, the applicable bridge width is a continuous interval, no break point, and good data stability, and is more in line with the actual engineering design scheme.
Description
Technical Field
The invention relates to the technical field of computer aided design, in particular to a computer-based beam number calculating method for a multi-beam type precast beam bridge.
Background
In the prior art, the total transverse arrangement width of a commonly adopted bridge is usually 8.0-10 m (one-way double lane), 11-13 m (one-way three lane), 15-17 m (one-way four lane, two-way four lane), 24-26 m (two-way six lane) and 30-33 m (two-way ten lane).
The precast beam bridge adopting multi-beam arrangement is also one of the commonly used bridge forms in the existing bridge engineering, and the arrangement quantity of the precast beams in the transverse direction is relatively fixed due to the relatively stable total width of the bridge, so that the design of the arrangement quantity can be completed only by referring to related engineering cases, and the arrangement quantity is solved without a design algorithm. For the bridge widening section, the conventional method adopts an integrally cast-in-place concrete beam or a steel-concrete combined beam, so that the problems that the transverse arrangement number of precast beams in multi-beam arrangement is difficult to determine and the width of a bridge deck is difficult to process are solved. For highway engineering, the bridge widening sections are fewer, and the treatment method is suitable.
However, in an urban elevated bridge, many ramps and overpasses are generally set to serve along a line plot, and the bridge has a very large number of widening sections, and if the method is still adopted, many problems are caused, such as a large amount of materials, non-uniform bridge appearance, large field workload and other adverse effects.
Therefore, how to solve the defect that the existing measuring and calculating method cannot adapt to multiple ramps, multiple overpasses and multiple widening of the viaduct becomes a technical problem which needs to be solved urgently by technical personnel in the field.
Disclosure of Invention
In view of the above defects of the prior art, the invention provides a computer-based method for measuring and calculating the number of distributed beams of a multi-beam precast beam bridge, which aims to provide a range of the number of distributed beams for the bridge under various conditions of transversely arranging total width, particularly total width except conventional width, and further provide more reasonable number of distributed beams for a certain widened span or a certain widened connection of the bridge and arranging continuous beam bridges in multiple spans.
In order to achieve the purpose, the invention discloses a computer-based beam distribution number measuring and calculating method of a multi-beam type precast beam bridge; the method comprises the following steps:
step 1, calculating the minimum value and the maximum value of the number of transverse beams according to the given bridge width of a bridge, wherein the number of the transverse beams is more than or equal to 2;
step 1.1, calculating main control parameters;
extracting main control parameters according to the overall design scheme of the bridge, calculating a beam number estimated minimum value NBMIN, calculating a beam number estimated maximum value NBMAX, calculating an initial side beam center distance DT at two sides and calculating an initial beam number NB;
the main control parameters comprise bridge width W, maximum beam distance DMAX, minimum beam distance DMIN, recommended beam distance D, anti-collision guardrail outer covering width R and initial boundary beam center-to-outer edge width DS;
step 1.2, judging whether the steel plate is in a few-beam state or not;
if the initial center distance DT of the side beams on the two sides is smaller than the recommended beam distance D, the bridge is considered to be in a few-beam state; if the initial center distance DT of the side beams on the two sides is greater than or equal to the recommended beam distance D, the bridge is considered to be in a normal state;
if the bridge is in the few-beam state, the corrected beam number NB1 is equal to the initial beam number NB plus 2, and the formula is as follows: NB1 ═ NB + 2;
if the bridge is not in the few-beam state, the corrected beam number NB1 is equal to the initial beam number NB plus 1, and the formula is as follows: NB1 ═ NB + 1;
calculating the corrected beam distance DL1, wherein the formula is as follows:
DL1 ═ DT/(NB1-1) formula 5;
step 1.3, judging whether the corrected beam distance DL1 and the revised beam number NB1 are reasonable or not;
rechecking whether the corrected beam distance DL1 is greater than or equal to the minimum beam distance DMIN, and if the corrected beam distance NB1 is greater than or equal to the minimum beam distance DMIN, judging that the variable A1 is equal to 1 for the first time; otherwise, the first minimum judgment variable a1 is equal to 0;
rechecking whether the corrected beam distance DL1 is less than or equal to the maximum beam distance DMAX, and if the corrected beam distance NB1 is less than or equal to the maximum beam distance DMAX, judging the variable B1 to be equal to 1 for the first time; otherwise, the first maximum judgment variable B1 is equal to 0;
if the product of A1 and B1 is equal to 1, the corrected beam distance DL1 is considered reasonable, the second corrected beam distance DL2 is equal to the corrected beam distance DL1, and the second corrected beam number NB2 is equal to the corrected beam number NB 1;
if A1 multiplied by B1 is not equal to 1, the corrected beam distance DL1 and the corrected beam number NB1 are considered to be unreasonable, and second correction is carried out;
step 1.4, judging whether the beam distance DL2 corrected for the second time is reasonable again, namely judging whether the width DS from the center of the initial edge beam to the outer edge needs to be adjusted;
if the second corrected beam distance DL2 is greater than or equal to the minimum beam distance DMIN, the second minimum judgment variable A2 is equal to 1; otherwise, the second minimum decision variable a2 is equal to 0.
If the beam distance DL2 corrected for the second time is smaller than or equal to the maximum beam distance DMAX, the second-time maximum judgment variable B2 is equal to 1; otherwise, the second maximum judgment variable B2 is equal to 0.
If A2 multiplied by B2 is equal to 1, the second corrected beam distance DL2 is reasonable, and the third corrected beam distance DL3 is equal to the second corrected beam distance DL 2; if A2 multiplied by B2 is not equal to 1, the corrected beam distance DL2 and the initial boundary beam center-to-outer edge width DS are not reasonable, and third correction is carried out;
step 1.5, calculating the minimum value NBMINR for the number of beams and the maximum value DLMAXR for the distance between the beams;
calculating the minimum beam number nbmnr according to the bridge width W, wherein the minimum beam number nbmnr is equal to the second corrected beam number NB2, namely nbmnr ═ NB 2;
enabling the maximum value DLMAXR of the beam distance to be equal to the third corrected beam distance DL3, wherein the formula is as follows: DLMAXR ═ DL 3;
step 1.6, calculating the maximum NBMAXR for the number of beams;
and calculating the minimum beam distance DLMIN under the corresponding condition according to the maximum beam number estimation value NBMAX, wherein the formula is as follows:
DT/(NBMAX-1) formula 7;
if the minimum beam distance DLMIN is larger than or equal to the minimum beam distance DMIN, the third minimum judgment variable A3 is equal to 1; otherwise, the third minimum judgment variable a3 is equal to 0;
if the minimum beam distance DLMIN is smaller than or equal to the maximum beam distance DMAX, the third maximum judgment variable B3 is equal to 1; otherwise, the third maximum judgment variable B3 is equal to 0;
if A3 multiplied by B3 is equal to 1, the minimum beam distance DLMIN is considered to be reasonable, and the maximum value NBMAXR is set as NBMAX; if A3 multiplied by B3 is not equal to 1, the minimum beam distance DLMIN is not reasonable, and beam number correction is needed;
step 1.7, judging whether the minimum beam distance DLMINRR is reasonable or not by trial calculation through correction corresponding to the maximum NBMAXR for the number of beams, namely judging whether the width DS from the center of an initial boundary beam to the outer edge needs to be adjusted or not;
and taking the maximum value NBMAXR according to the beam number, and calculating trial calculation minimum beam distance DLMINR according to the formula:
dlminsr ═ DT/(NBMAXR-1) formula 8;
if the trial calculation minimum beam distance DLMINR is larger than or equal to the minimum beam distance DMIN, the fourth minimum judgment variable A4 is equal to 1; otherwise, the fourth minimum judgment variable a4 is equal to 0;
if the trial calculation minimum beam distance DLMINR is smaller than or equal to the maximum beam distance DMAX, the fourth maximum judgment variable B4 is equal to 1; otherwise, the fourth maximum judgment variable B4 is equal to 0;
if A4 is multiplied by B4 to be equal to 1, the trial minimum beam distance DLMINR is considered to be reasonable, the corrected trial minimum beam distance DLMINRR is DLMINR, and the edge beam center-to-outer edge width DSRR corrected according to the maximum beam number is DS; if A4 multiplied by B4 is not equal to 1, considering that the trial value DLMINR of the minimum beam distance and the width DS from the center of the initial boundary beam to the outer edge are unreasonable, needing to correct the beam distance and obtaining reasonable corrected trial minimum beam distances DLMINRR and DSRR;
step 1.8, extracting beam number calculation results; the beam number is selected from a minimum value NBMINR, a maximum value DLMAXR, and a boundary beam center to outer edge width DSR corrected according to the minimum beam number, the maximum value NBMAXR, the corrected trial minimum beam distance DLMINRR and the boundary beam center to outer edge width DSR corrected according to the maximum beam number;
step 2, aiming at a certain widened span or a certain widened connection of the bridge, providing a reasonable number of cloth beams by a connection formed by arranging continuous beams according to multiple spans, wherein the number of the cloth beams is more than or equal to 2;
step 2.1, calculating the main control parameters
Extracting control parameters of a small mileage side of a certain widened span or a certain widened connection of the bridge, which are formed by arranging continuous beams according to multiple spans, according to the overall design scheme of the bridge;
the main control parameters comprise a bridge width WS at a small mileage side, a bridge width WL at a large mileage side and a bridge width of a side pier at a small mileage side for a certain wide coupling of the continuous beam, and a bridge width DMAX at a large mileage side, a minimum beam distance DMIN, a recommended beam distance D, an outer wrapping width R of the anti-collision guardrail and a side beam center-to-outer edge width DS for a certain wide coupling of the continuous beam;
step 2.2, calculating the beam number intervals of the small mileage side and the large mileage side;
according to the step 1, calculating the number of beams corresponding to the bridge width WS on the small-mileage side, wherein the minimum value NBMINRS is used for the number of beams, the maximum value NBMAXRS is used for the number of beams, and the minimum value NBMINRS is used for the number of beams, and the maximum value NBMAXRS is used for the number of beams to form a small-mileage side beam number solution set NUMS;
according to the step 1, calculating the number of beams corresponding to the bridge width WL at the big-mileage side, wherein the minimum value NBMINRL is used for the number of beams, the maximum value NBMAXRL is used for the number of beams, and the minimum value NBMINRL is used for the number of beams and the maximum value NBMAXRL is used for the number of beams to form another big-mileage side beam number solution set NULL;
step 2.3, calculating the intersection of the beam numbers of the small mileage side and the large mileage side;
judging whether an intersection exists between the small-mileage side beam number solution set NUMS and the large-mileage side beam number solution set NUML;
if an intersection ITS exists between the small-range side beam number solution set NUMS and the large-range side beam number solution set NULL, enabling the recommended beam number of a certain widened span or a certain widened union to be the minimum value in the intersection ITS;
if the intersection ITS does not exist between the small-mileage side beam number solution set NUMS and the large-mileage side beam number solution set NULL, the bridge width WS on the small-mileage side needs to be increased for recalculation until the intersection ITS can be solved between the small-mileage side beam number solution set NUMS and the large-mileage side beam number solution set NULL;
the minimum value in the intersection ITS is the recommended number of beams of a certain widening span or a certain widening union.
Preferably, in step 1.1, the minimum beam number estimate value NBMIN is calculated, as follows:
NBMIN ═ INT (W/DMAX) formula 1;
in the formula, the function INT () is rounded;
judging the minimum beam number estimation value NBMIN calculated by the formula 1: if the minimum beam number estimation value NBMIN is less than 2, directly taking the minimum beam number estimation value NBMIN as 2; if the beam number estimated minimum value NBMIN is greater than or equal to 2, then no change is made to the beam number estimated minimum value NBMIN;
calculating the maximum beam number estimation value NBMAX according to the following formula:
NBMAX ═ INT (W/DMIN) formula 2;
judging the maximum beam number estimation value NBMAX calculated by the formula 2: if the maximum beam number estimation value NBMAX is smaller than 2, directly taking the maximum beam number estimation value NBMAX as 2; if the maximum beam number estimation value NBMAX is greater than or equal to 2, the maximum beam number estimation value NBMAX is not changed;
calculating the initial center distance DT of the side beams at two sides, wherein the formula is as follows:
DT ═ W-2 xr-2 xds formula 3;
the initial beam number NB is calculated as follows:
NB ═ INT (DT/D) formula 4.
Preferably, in step 1.3, the second correction step is as follows:
step 1.3.1, if the corrected beam distance DL1 is smaller than the minimum beam distance DMIN, making the second corrected beam number NB2 equal to the first corrected beam number NB1, that is, NB 2-NB 1;
if the corrected beam distance DL1 is greater than the maximum beam distance DMAX, making the second corrected beam number NB2 equal to the corrected beam number NB1 plus 1, that is, NB2 ═ NB1+ 1;
step 1.3.2, the calculation formula of the second corrected beam distance DL2 is as follows: DL2 ═ DT/(NB 2-1).
Preferably, in step 1.4, the third correcting step is as follows
Step 1.4.1, the beam distance DL3 corrected for the third time is equal to the bridge width W divided by the number NB2 corrected for the second time, and the formula is DL3 ═ W/NB 2;
step 1.4.2, calculating the edge beam center-to-outer edge width DSR corrected according to the minimum beam number, wherein the calculation formula is as follows:
DSR ═ W-2 xr-2 × (NB2-1) × DL3)/2 formula 6.
Preferably, in step 1.6, the step of correcting the number of beams is as follows:
if the value of subtracting 1 from the maximum beam number estimate NBMAX is greater than or equal to the second modified beam number NB2, the maximum beam number is equal to the maximum beam number estimate NBMAX minus 1, that is, NBMAXR is NBMAX-1;
if the value obtained by subtracting 1 from the maximum beam number estimate NBMAX is smaller than the second corrected beam number NB2, the maximum beam number fetch value NBMAXR is equal to the maximum beam number estimate NBMAX, that is, NBMAXR ═ NBMAX.
Preferably, in step 1.7, the step of correcting the beam distance is as follows:
step 1.7.1, calculating a corrected trial minimum beam distance DLMINRR, wherein the calculation formula is as follows:
DLMINRR ═ W/NBMAXR formula 9;
step 1.7.2, calculating the width DSRR from the center to the outer edge of the edge beam corrected according to the maximum beam number, wherein the calculation formula is as follows:
DSRR ═ W-2 xr-2 × (NBMAXR-1) × DLMINRR)/2 formula 10.
The invention has the beneficial effects that:
the method is based on a computer and aims at the beam distribution quantity of a given bridge width, the beam quantity is more than or equal to 2, the applicable bridge width is a continuous interval, no break point exists, the data stability is good, and the method better conforms to the actual engineering design scheme.
The invention can calculate multi-beam bridges such as a prefabricated small box girder bridge, a prefabricated hollow slab girder bridge, a prefabricated T-shaped girder bridge, a prefabricated steel-concrete combined I-shaped girder bridge, a prefabricated steel-concrete combined small box girder bridge and the like according to common design standards, and provides a reasonable beam distribution quantity range under the conditions of various transverse arrangement total widths, particularly total widths except the conventional width, wherein the beam number is more than or equal to 2.
The method can provide a feasible domain of the number of the cloth beams at the large and small mileage sides for a certain widened span or a certain widened connection of the bridge and the arrangement of the continuous beams according to multiple spans by utilizing a reasonable cloth beam number measuring and calculating method under a certain given width, and further the reasonable cloth beam number of the certain widened span or the certain widened connection is measured and calculated.
The invention can be popularized to other designs of various multi-beam bridges, such as a prefabricated hollow plate girder bridge, a prefabricated T-shaped girder bridge, a prefabricated steel-concrete combined I-shaped girder bridge, a prefabricated steel-concrete combined small box girder bridge and the like, and the design efficiency is improved by utilizing an automatic calculation program.
The conception, the specific structure and the technical effects of the present invention will be further described with reference to the accompanying drawings to fully understand the objects, the features and the effects of the present invention.
Drawings
Fig. 1 is a schematic diagram illustrating main control parameters of a cross section of a multi-beam bridge according to an embodiment of the present invention.
Fig. 2 is a schematic diagram illustrating an arrangement of a multi-beam bridge at a certain widened span according to an embodiment of the present invention.
Fig. 3 is a schematic diagram illustrating an arrangement of a multi-beam bridge at a certain widened link according to an embodiment of the present invention.
Detailed Description
Examples
As shown in fig. 1 to 3, a method for calculating the number of beams of a multi-beam precast beam bridge based on a computer; the method comprises the following steps:
step 1, calculating the minimum value and the maximum value of the number of transverse beams according to the given bridge width of a bridge, wherein the number of the transverse beams is more than or equal to 2;
step 1.1, calculating main control parameters;
extracting main control parameters according to the overall design scheme of the bridge, calculating a beam number estimated minimum value NBMIN, calculating a beam number estimated maximum value NBMAX, calculating an initial side beam center distance DT at two sides and calculating an initial beam number NB;
the main control parameters comprise bridge width W, maximum beam distance DMAX, minimum beam distance DMIN, recommended beam distance D, anti-collision guardrail outer covering width R and initial boundary beam center-to-outer edge width DS;
step 1.2, judging whether the steel plate is in a few-beam state or not;
if the initial center distance DT of the side beams on the two sides is smaller than the recommended beam distance D, the bridge is considered to be in a few-beam state; if the initial center distance DT of the side beams on the two sides is greater than or equal to the recommended beam distance D, the bridge is considered to be in a normal state;
if the bridge is in the few-beam state, the corrected beam number NB1 is equal to the initial beam number NB plus 2, and the formula is as follows: NB1 ═ NB + 2;
if the bridge is not in the few-beam state, the corrected beam number NB1 is equal to the initial beam number NB plus 1, and the formula is as follows: NB1 ═ NB + 1;
calculating the corrected beam distance DL1, wherein the formula is as follows:
DL1 ═ DT/(NB1-1) formula 5;
step 1.3, judging whether the corrected beam distance DL1 and the revised beam number NB1 are reasonable or not;
rechecking whether the corrected beam distance DL1 is greater than or equal to the minimum beam distance DMIN, and if the corrected beam distance NB1 is greater than or equal to the minimum beam distance DMIN, judging that the variable A1 is equal to 1 for the first time; otherwise, the first minimum judgment variable a1 is equal to 0;
rechecking whether the corrected beam distance DL1 is less than or equal to the maximum beam distance DMAX, and if the corrected beam distance NB1 is less than or equal to the maximum beam distance DMAX, judging the variable B1 to be equal to 1 for the first time; otherwise, the first maximum judgment variable B1 is equal to 0;
if the product of A1 and B1 is equal to 1, the corrected beam distance DL1 is considered reasonable, the second corrected beam distance DL2 is equal to the corrected beam distance DL1, and the second corrected beam number NB2 is equal to the corrected beam number NB 1;
if A1 multiplied by B1 is not equal to 1, the corrected beam distance DL1 and the corrected beam number NB1 are considered to be unreasonable, and second correction is carried out;
step 1.4, judging whether the beam distance DL2 corrected for the second time is reasonable again, namely judging whether the width DS from the center of the initial edge beam to the outer edge needs to be adjusted;
if the second corrected beam distance DL2 is greater than or equal to the minimum beam distance DMIN, the second minimum judgment variable A2 is equal to 1; otherwise, the second minimum decision variable a2 is equal to 0.
If the beam distance DL2 corrected for the second time is smaller than or equal to the maximum beam distance DMAX, the second-time maximum judgment variable B2 is equal to 1; otherwise, the second maximum judgment variable B2 is equal to 0.
If A2 multiplied by B2 is equal to 1, the second corrected beam distance DL2 is reasonable, and the third corrected beam distance DL3 is equal to the second corrected beam distance DL 2; if A2 multiplied by B2 is not equal to 1, the corrected beam distance DL2 and the initial boundary beam center-to-outer edge width DS are not reasonable, and third correction is carried out;
step 1.5, calculating the minimum value NBMINR for the number of beams and the maximum value DLMAXR for the distance between the beams;
calculating the minimum beam number nbmnr according to the bridge width W, wherein the minimum beam number nbmnr is equal to the second corrected beam number NB2, namely nbmnr ═ NB 2;
enabling the maximum value DLMAXR of the beam distance to be equal to the third corrected beam distance DL3, wherein the formula is as follows: DLMAXR ═ DL 3;
step 1.6, calculating the maximum NBMAXR for the number of beams;
and calculating the minimum beam distance DLMIN under the corresponding condition according to the maximum beam number estimation value NBMAX, wherein the formula is as follows:
DT/(NBMAX-1) formula 7;
if the minimum beam distance DLMIN is larger than or equal to the minimum beam distance DMIN, the third minimum judgment variable A3 is equal to 1; otherwise, the third minimum judgment variable a3 is equal to 0;
if the minimum beam distance DLMIN is smaller than or equal to the maximum beam distance DMAX, the third maximum judgment variable B3 is equal to 1; otherwise, the third maximum judgment variable B3 is equal to 0;
if A3 multiplied by B3 is equal to 1, the minimum beam distance DLMIN is considered to be reasonable, and the maximum value NBMAXR is set as NBMAX; if A3 multiplied by B3 is not equal to 1, the minimum beam distance DLMIN is not reasonable, and beam number correction is needed;
step 1.7, judging whether the minimum beam distance DLMINRR is reasonable or not by trial calculation through correction corresponding to the maximum NBMAXR for the number of beams, namely judging whether the width DS from the center of an initial boundary beam to the outer edge needs to be adjusted or not;
and taking the maximum value NBMAXR according to the beam number, and calculating trial calculation minimum beam distance DLMINR according to the formula:
dlminsr ═ DT/(NBMAXR-1) formula 8;
if the trial calculation minimum beam distance DLMINR is larger than or equal to the minimum beam distance DMIN, the fourth minimum judgment variable A4 is equal to 1; otherwise, the fourth minimum judgment variable a4 is equal to 0;
if the trial calculation minimum beam distance DLMINR is smaller than or equal to the maximum beam distance DMAX, the fourth maximum judgment variable B4 is equal to 1; otherwise, the fourth maximum judgment variable B4 is equal to 0;
if A4 is multiplied by B4 to be equal to 1, the trial minimum beam distance DLMINR is considered to be reasonable, the corrected trial minimum beam distance DLMINRR is DLMINR, and the edge beam center-to-outer edge width DSRR corrected according to the maximum beam number is DS; if A4 multiplied by B4 is not equal to 1, considering that the trial value DLMINR of the minimum beam distance and the width DS from the center of the initial boundary beam to the outer edge are unreasonable, needing to correct the beam distance and obtaining reasonable corrected trial minimum beam distances DLMINRR and DSRR;
step 1.8, extracting beam number calculation results; the beam number is selected from a minimum value NBMINR, a maximum value DLMAXR, and a boundary beam center-to-outer edge width DSR corrected according to the minimum beam number, the maximum value NBMAXR, the corrected trial minimum beam distance DLMINRR, and a boundary beam center-to-outer edge width DSR corrected according to the maximum beam number;
step 2, aiming at a certain widened span or a certain widened connection of the bridge, providing a reasonable number of cloth beams by a connection formed by arranging continuous beams according to multiple spans, wherein the number of the cloth beams is more than or equal to 2;
step 2.1, calculating the main control parameters
Extracting control parameters of a small mileage side of a certain widened span or a certain widened connection of the bridge, which are formed by arranging continuous beams according to multiple spans, according to the overall design scheme of the bridge;
the main control parameters comprise a bridge width WS at a small mileage side, a bridge width WL at a large mileage side and a bridge width of a side pier at a small mileage side for a certain wide coupling of the continuous beam, and a bridge width DMAX at a large mileage side, a minimum beam distance DMIN, a recommended beam distance D, an outer wrapping width R of the anti-collision guardrail and a side beam center-to-outer edge width DS for a certain wide coupling of the continuous beam;
step 2.2, calculating the beam number intervals of the small mileage side and the large mileage side;
according to the step 1, calculating the number of beams corresponding to the bridge width WS on the small-mileage side, wherein the minimum value NBMINRS is used for the number of beams, the maximum value NBMAXRS is used for the number of beams, and the minimum value NBMINRS is used for the number of beams, and the maximum value NBMAXRS is used for the number of beams to form a small-mileage side beam number solution set NUMS;
according to the step 1, calculating the number of beams corresponding to the bridge width WL at the big-mileage side, wherein the minimum value NBMINRL is used for the number of beams, the maximum value NBMAXRL is used for the number of beams, and the minimum value NBMINRL is used for the number of beams and the maximum value NBMAXRL is used for the number of beams to form another big-mileage side beam number solution set NULL;
step 2.3, calculating the intersection of the beam numbers of the small mileage side and the large mileage side;
judging whether an intersection exists between the small-mileage side beam number solution set NUMS and the large-mileage side beam number solution set NUML;
if an intersection ITS exists between the small-range side beam number solution set NUMS and the large-range side beam number solution set NULL, enabling the recommended beam number of a certain widened span or a certain widened union to be the minimum value in the intersection ITS;
if the intersection ITS does not exist between the small-mileage side beam number solution set NUMS and the large-mileage side beam number solution set NULL, the bridge width WS on the small-mileage side needs to be increased for recalculation until the intersection ITS can be solved between the small-mileage side beam number solution set NUMS and the large-mileage side beam number solution set NULL;
the minimum value in the intersection ITS is the recommended number of beams of a certain widening span or a certain widening union.
The principle of the invention is as follows:
in the beam distribution design of the multi-beam bridge, the minimum beam number and the maximum beam number suitable for engineering design can be calculated according to given data such as bridge width, maximum beam distance, minimum beam distance and the like and the principles of beam distance equal division and successive approximation. By using the method, two beam number solution sets of a multi-beam bridge, wherein one span of the multi-beam bridge is at a small-mileage side branch line and a large-mileage side branch line, can be obtained, and then intersection sets are obtained from the two beam number solution sets, and the minimum value is taken, so that the optimal beam number solution of the multi-beam bridge at the certain span can be obtained.
In the field of the existing engineering design, experience values are adopted for trial calculation repeatedly in the beam distribution design of a multi-beam bridge, and the trial calculation is related to experience and preference of designers and has larger randomness. At present, no calculation method of the idiom and the system related to the content of the invention is available in the field. The application content of the invention has good calculation operability, provides a set of complete calculation method, and can realize programmable or automatic calculation table compilation; the continuity of the calculation use data is good, and the method can adapt to the common bridge width; the calculation result is stable, and the applicable and economic beam number can be obtained for the common bridge width.
In certain embodiments, in step 1.1, the beam number estimate minimum value NBMIN is calculated as follows:
NBMIN ═ INT (W/DMAX) formula 1;
in the formula, the function INT () is rounded;
judging the minimum beam number estimation value NBMIN calculated by the formula 1: if the minimum beam number estimation value NBMIN is less than 2, directly taking the minimum beam number estimation value NBMIN as 2; if the beam number estimated minimum value NBMIN is greater than or equal to 2, then no change is made to the beam number estimated minimum value NBMIN;
calculating the maximum beam number estimation value NBMAX according to the following formula:
NBMAX ═ INT (W/DMIN) formula 2;
judging the maximum beam number estimation value NBMAX calculated by the formula 2: if the maximum beam number estimation value NBMAX is smaller than 2, directly taking the maximum beam number estimation value NBMAX as 2; if the maximum beam number estimation value NBMAX is greater than or equal to 2, the maximum beam number estimation value NBMAX is not changed;
calculating the initial center distance DT of the side beams at two sides, wherein the formula is as follows:
DT ═ W-2 xr-2 xds formula 3;
the initial beam number NB is calculated as follows:
NB ═ INT (DT/D) formula 4.
In some embodiments, in step 1.3, the step of second correcting is as follows:
step 1.3.1, if the corrected beam distance DL1 is smaller than the minimum beam distance DMIN, making the second corrected beam number NB2 equal to the first corrected beam number NB1, that is, NB 2-NB 1;
if the corrected beam distance DL1 is greater than the maximum beam distance DMAX, making the second corrected beam number NB2 equal to the corrected beam number NB1 plus 1, that is, NB2 ═ NB1+ 1;
step 1.3.2, the calculation formula of the second corrected beam distance DL2 is as follows: DL2 ═ DT/(NB 2-1).
In some embodiments, the step 1.4 of the third modification is as follows
Step 1.4.1, the beam distance DL3 corrected for the third time is equal to the bridge width W divided by the number NB2 corrected for the second time, and the formula is DL3 ═ W/NB 2;
step 1.4.2, calculating the edge beam center-to-outer edge width DSR corrected according to the minimum beam number, wherein the calculation formula is as follows:
DSR ═ W-2 xr-2 × (NB2-1) × DL3)/2 formula 6;
step 1.4.3, reassign the initial sill center to outer edge width DS to the modified sill center to outer edge width DSR, i.e., DS ═ DSR.
In some embodiments, in step 1.6, the step of beam number correction is as follows:
if the value of subtracting 1 from the maximum beam number estimate NBMAX is greater than or equal to the second modified beam number NB2, the maximum beam number is equal to the maximum beam number estimate NBMAX minus 1, that is, NBMAXR is NBMAX-1;
if the value obtained by subtracting 1 from the maximum beam number estimate NBMAX is smaller than the second corrected beam number NB2, the maximum beam number fetch value NBMAXR is equal to the maximum beam number estimate NBMAX, that is, NBMAXR ═ NBMAX.
In some embodiments, in step 1.7, the step of correcting the beam distance is as follows:
step 1.7.1, calculating a corrected trial minimum beam distance DLMINRR, wherein the calculation formula is as follows:
DLMINRR ═ W/NBMAXR formula 9;
step 1.7.2, calculating the width DSRR from the center to the outer edge of the edge beam corrected according to the maximum beam number, wherein the calculation formula is as follows:
DSRR ═ W-2 xr-2 × (NBMAXR-1) × DLMINRR)/2 formula 10.
For example: NUMS ═ 4, 5, 6, NUML ═ 6, 7, 8, ITS ═ 6, this example gives a feasible solution.
For example: NUMS ═ 4, 5, NUML ═ 6, 7, 8, and ITS ═ empty set, this example does not yield a feasible solution. The bridge width on the side of the small mileage is widened, NUMS is set to {5, 6}, and ITS is set to {6}, so that a feasible solution is obtained.
The foregoing detailed description of the preferred embodiments of the invention has been presented. It should be understood that numerous modifications and variations could be devised by those skilled in the art in light of the present teachings without departing from the inventive concepts. Therefore, the technical solutions available to those skilled in the art through logic analysis, reasoning and limited experiments based on the prior art according to the concept of the present invention should be within the scope of protection defined by the claims.
Claims (6)
1. A computer-based beam distribution number measuring and calculating method of a multi-beam type precast beam bridge; the method comprises the following steps:
step 1, calculating the minimum value and the maximum value of the number of transverse beams according to the given bridge width of a bridge, wherein the number of the transverse beams is more than or equal to 2;
step 1.1, calculating main control parameters;
extracting main control parameters according to the overall design scheme of the bridge, calculating a beam number estimated minimum value NBMIN, calculating a beam number estimated maximum value NBMAX, calculating an initial side beam center distance DT at two sides and calculating an initial beam number NB;
the main control parameters comprise bridge width W, maximum beam distance DMAX, minimum beam distance DMIN, recommended beam distance D, anti-collision guardrail outer covering width R and initial boundary beam center-to-outer edge width DS;
step 1.2, judging whether the steel plate is in a few-beam state or not;
if the initial center distance DT of the side beams on the two sides is smaller than the recommended beam distance D, the bridge is considered to be in a few-beam state; if the initial center distance DT of the side beams on the two sides is greater than or equal to the recommended beam distance D, the bridge is considered to be in a normal state;
if the bridge is in the few-beam state, the corrected beam number NB1 is equal to the initial beam number NB plus 2, and the formula is as follows: NB1 ═ NB + 2;
if the bridge is not in the few-beam state, the corrected beam number NB1 is equal to the initial beam number NB plus 1, and the formula is as follows: NB1 ═ NB + 1;
calculating the corrected beam distance DL1, wherein the formula is as follows:
DL1 ═ DT/(NB1-1) formula 5;
step 1.3, judging whether the corrected beam distance DL1 and the revised beam number NB1 are reasonable or not;
rechecking whether the corrected beam distance DL1 is greater than or equal to the minimum beam distance DMIN, and if the corrected beam distance NB1 is greater than or equal to the minimum beam distance DMIN, judging that the variable A1 is equal to 1 for the first time; otherwise, the first minimum judgment variable a1 is equal to 0;
rechecking whether the corrected beam distance DL1 is less than or equal to the maximum beam distance DMAX, and if the corrected beam distance NB1 is less than or equal to the maximum beam distance DMAX, judging the variable B1 to be equal to 1 for the first time; otherwise, the first maximum judgment variable B1 is equal to 0;
if the product of A1 and B1 is equal to 1, the corrected beam distance DL1 is considered reasonable, the second corrected beam distance DL2 is equal to the corrected beam distance DL1, and the second corrected beam number NB2 is equal to the corrected beam number NB 1;
if A1 multiplied by B1 is not equal to 1, the corrected beam distance DL1 and the corrected beam number NB1 are considered to be unreasonable, and second correction is carried out;
step 1.4, judging whether the beam distance DL2 corrected for the second time is reasonable again, namely judging whether the width DS from the center of the initial edge beam to the outer edge needs to be adjusted;
if the second corrected beam distance DL2 is greater than or equal to the minimum beam distance DMIN, the second minimum judgment variable A2 is equal to 1; otherwise, the second minimum judgment variable a2 is equal to 0;
if the beam distance DL2 corrected for the second time is smaller than or equal to the maximum beam distance DMAX, the second-time maximum judgment variable B2 is equal to 1; otherwise, the second maximum judgment variable B2 is equal to 0;
if A2 multiplied by B2 is equal to 1, the second corrected beam distance DL2 is reasonable, and the third corrected beam distance DL3 is equal to the second corrected beam distance DL 2; if A2 multiplied by B2 is not equal to 1, the corrected beam distance DL2 and the initial boundary beam center-to-outer edge width DS are not reasonable, and third correction is carried out;
step 1.5, calculating the minimum value NBMINR for the number of beams and the maximum value DLMAXR for the distance between the beams;
calculating the minimum beam number nbmnr according to the bridge width W, wherein the minimum beam number nbmnr is equal to the second corrected beam number NB2, namely nbmnr ═ NB 2;
enabling the maximum value DLMAXR of the beam distance to be equal to the third corrected beam distance DL3, wherein the formula is as follows: DLMAXR ═ DL 3;
step 1.6, calculating the maximum NBMAXR for the number of beams;
and calculating the minimum beam distance DLMIN under the corresponding condition according to the maximum beam number estimation value NBMAX, wherein the formula is as follows:
DT/(NBMAX-1) formula 7;
if the minimum beam distance DLMIN is larger than or equal to the minimum beam distance DMIN, the third minimum judgment variable A3 is equal to 1; otherwise, the third minimum judgment variable a3 is equal to 0;
if the minimum beam distance DLMIN is smaller than or equal to the maximum beam distance DMAX, the third maximum judgment variable B3 is equal to 1; otherwise, the third maximum judgment variable B3 is equal to 0;
if A3 multiplied by B3 is equal to 1, the minimum beam distance DLMIN is considered to be reasonable, and the maximum value NBMAXR is set as NBMAX; if A3 multiplied by B3 is not equal to 1, the minimum beam distance DLMIN is not reasonable, and beam number correction is needed;
step 1.7, judging whether the minimum beam distance DLMINRR is reasonable or not by trial calculation through correction corresponding to the maximum NBMAXR for the number of beams, namely judging whether the width DS from the center of an initial boundary beam to the outer edge needs to be adjusted or not;
and taking the maximum value NBMAXR according to the beam number, and calculating trial calculation minimum beam distance DLMINR according to the formula:
dlminsr ═ DT/(NBMAXR-1) formula 8;
if the trial calculation minimum beam distance DLMINR is larger than or equal to the minimum beam distance DMIN, the fourth minimum judgment variable A4 is equal to 1; otherwise, the fourth minimum judgment variable a4 is equal to 0;
if the trial calculation minimum beam distance DLMINR is smaller than or equal to the maximum beam distance DMAX, the fourth maximum judgment variable B4 is equal to 1; otherwise, the fourth maximum judgment variable B4 is equal to 0;
if A4 is multiplied by B4 to be equal to 1, the trial minimum beam distance DLMINR is considered to be reasonable, the corrected trial minimum beam distance DLMINRR is DLMINR, and the edge beam center-to-outer edge width DSRR corrected according to the maximum beam number is DS; if A4 multiplied by B4 is not equal to 1, considering that the trial value DLMINR of the minimum beam distance and the width DS from the center of the initial boundary beam to the outer edge are unreasonable, needing to correct the beam distance and obtaining reasonable corrected trial minimum beam distances DLMINRR and DSRR;
step 1.8, extracting beam number calculation results; the beam number is selected from a minimum value NBMINR, a maximum value DLMAXR, and a boundary beam center to outer edge width DSR corrected according to the minimum beam number, the maximum value NBMAXR, the corrected trial minimum beam distance DLMINRR and the boundary beam center to outer edge width DSR corrected according to the maximum beam number;
step 2, aiming at a certain widened span or a certain widened connection of the bridge, providing a reasonable number of cloth beams by a connection formed by arranging continuous beams according to multiple spans, wherein the number of the cloth beams is more than or equal to 2;
step 2.1, calculating the main control parameters
Extracting control parameters of a small mileage side of a certain widened span or a certain widened connection of the bridge, which are formed by arranging continuous beams according to multiple spans, according to the overall design scheme of the bridge;
the main control parameters comprise a bridge width WS at a small mileage side, a bridge width WL at a large mileage side and a bridge width of a side pier at a small mileage side for a certain wide coupling of the continuous beam, and a bridge width DMAX at a large mileage side, a minimum beam distance DMIN, a recommended beam distance D, an outer wrapping width R of the anti-collision guardrail and a side beam center-to-outer edge width DS for a certain wide coupling of the continuous beam;
step 2.2, calculating the beam number intervals of the small mileage side and the large mileage side;
according to the step 1, calculating the number of beams corresponding to the bridge width WS on the small-mileage side, wherein the minimum value NBMINRS is used for the number of beams, the maximum value NBMAXRS is used for the number of beams, and the minimum value NBMINRS is used for the number of beams, and the maximum value NBMAXRS is used for the number of beams to form a small-mileage side beam number solution set NUMS;
according to the step 1, calculating the number of beams corresponding to the bridge width WL at the big-mileage side, wherein the minimum value NBMINRL is used for the number of beams, the maximum value NBMAXRL is used for the number of beams, and the minimum value NBMINRL is used for the number of beams and the maximum value NBMAXRL is used for the number of beams to form another big-mileage side beam number solution set NULL;
step 2.3, calculating the intersection of the beam numbers of the small mileage side and the large mileage side;
judging whether an intersection exists between the small-mileage side beam number solution set NUMS and the large-mileage side beam number solution set NUML;
if an intersection ITS exists between the small-range side beam number solution set NUMS and the large-range side beam number solution set NULL, enabling the recommended beam number of a certain widened span or a certain widened union to be the minimum value in the intersection ITS;
if the intersection ITS does not exist between the small-mileage side beam number solution set NUMS and the large-mileage side beam number solution set NULL, the bridge width WS on the small-mileage side needs to be increased for recalculation until the intersection ITS can be solved between the small-mileage side beam number solution set NUMS and the large-mileage side beam number solution set NULL;
the minimum value in the intersection ITS is the recommended number of beams of a certain widening span or a certain widening union.
2. The method for calculating the number of girders for a computer-based multi-girder precast bridge according to claim 1, wherein the minimum number of girders estimation value NBMIN is calculated in the step 1.1 as follows:
NBMIN ═ INT (W/DMAX) formula 1;
in the formula, the function INT () is rounded;
judging the minimum beam number estimation value NBMIN calculated by the formula 1: if the minimum beam number estimation value NBMIN is less than 2, directly taking the minimum beam number estimation value NBMIN as 2; if the beam number estimated minimum value NBMIN is greater than or equal to 2, then no change is made to the beam number estimated minimum value NBMIN;
calculating the maximum beam number estimation value NBMAX according to the following formula:
NBMAX ═ INT (W/DMIN) formula 2;
judging the maximum beam number estimation value NBMAX calculated by the formula 2: if the maximum beam number estimation value NBMAX is smaller than 2, directly taking the maximum beam number estimation value NBMAX as 2; if the maximum beam number estimation value NBMAX is greater than or equal to 2, the maximum beam number estimation value NBMAX is not changed;
calculating the initial center distance DT of the side beams at two sides, wherein the formula is as follows:
DT ═ W-2 xr-2 xds formula 3;
the initial beam number NB is calculated as follows:
NB ═ INT (DT/D) formula 4.
3. The method for calculating the number of the distributed beams of the computer-based multi-beam precast beam bridge according to claim 1, wherein the step 1.3, the second correction, comprises the following steps:
step 1.3.1, if the corrected beam distance DL1 is smaller than the minimum beam distance DMIN, making the second corrected beam number NB2 equal to the first corrected beam number NB1, that is, NB 2-NB 1;
if the corrected beam distance DL1 is greater than the maximum beam distance DMAX, making the second corrected beam number NB2 equal to the corrected beam number NB1 plus 1, that is, NB2 ═ NB1+ 1;
step 1.3.2, the calculation formula of the second corrected beam distance DL2 is as follows: DL2 ═ DT/(NB 2-1).
4. The method for calculating the number of beams of a computer-based multi-beam precast beam bridge according to claim 1, wherein the third correcting step in the step 1.4 is as follows
Step 1.4.1, the beam distance DL3 corrected for the third time is equal to the bridge width W divided by the number NB2 corrected for the second time, and the formula is DL3 ═ W/NB 2;
step 1.4.2, calculating the edge beam center-to-outer edge width DSR corrected according to the minimum beam number, wherein the calculation formula is as follows:
DSR ═ W-2 xr-2 × (NB2-1) × DL3)/2 formula 6;
step 1.4.3, reassign the initial sill center to outer edge width DS to the modified sill center to outer edge width DSR, i.e., DS ═ DSR.
5. The method for measuring and calculating the number of the distributed beams of the computer-based multi-beam precast beam bridge according to claim 1, wherein in the step 1.6, the step of correcting the number of the distributed beams is as follows:
if the value of subtracting 1 from the maximum beam number estimate NBMAX is greater than or equal to the second modified beam number NB2, the maximum beam number is equal to the maximum beam number estimate NBMAX minus 1, that is, NBMAXR is NBMAX-1;
if the value obtained by subtracting 1 from the maximum beam number estimate NBMAX is smaller than the second corrected beam number NB2, the maximum beam number fetch value NBMAXR is equal to the maximum beam number estimate NBMAX, that is, NBMAXR ═ NBMAX.
6. The method for measuring and calculating the number of the distributed beams of the computer-based multi-beam precast beam bridge according to claim 1, wherein the step 1.7 of correcting the beam distance comprises the following steps:
step 1.7.1, calculating a corrected trial minimum beam distance DLMINRR, wherein the calculation formula is as follows:
DLMINRR ═ W/NBMAXR formula 9;
step 1.7.2, calculating the width DSRR from the center to the outer edge of the edge beam corrected according to the maximum beam number, wherein the calculation formula is as follows:
DSRR ═ W-2 xr-2 × (NBMAXR-1) × DLMINRR)/2 formula 10.
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