CN101697258A - Multi-span beam multifunction stress deformation demonstration instrument - Google Patents
Multi-span beam multifunction stress deformation demonstration instrument Download PDFInfo
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- CN101697258A CN101697258A CN200910154448A CN200910154448A CN101697258A CN 101697258 A CN101697258 A CN 101697258A CN 200910154448 A CN200910154448 A CN 200910154448A CN 200910154448 A CN200910154448 A CN 200910154448A CN 101697258 A CN101697258 A CN 101697258A
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Abstract
The invention discloses a multi-span beam multifunction stress deformation demonstration instrument which is formed by enabling a thin cylindrical rod bolt to pass through a bolt hole to multiple sections of thin-wall beam piece, a fixed hinge support and a removable hinge support, wherein each section of thin-wall beam piece contains a beam mid-hinge joint, a beam end concave & convex hinge joint and a concave & convex steel arm, and the fixed hinge support and the removable hinge support are used for supporting the beam pieces. By locking or relaxing the relative movement of the steel arm, various multi-span statically determinate beams, statically indeterminate beams or geometry variable mechanisms can be assembled; by adding on weight or forcing the steel arm to relatively rotate or enabling support joints to move up and down, stress deformation figure lines of various multi-span beam structures under the external action of external vertical force, joint external moment, support displacement and the like and contour lines of influence lines of the section bending moment and the support counter force of multi-span beam structures under the action of unit traveling load can be displayed. The invention has simple structure, convenient disassembly and assembly and various functions.
Description
Technical field
The present invention relates to a kind of multi-functional teaching demonstration instrument, especially can intuitively show multispan statically determinate beam and the continuous beam deformation curve under fixed load and support displacement effect, and the end reaction under the unit Moving Loads and internal force influence the instruments used for education of line profile.
Background technology
Multispan statically determinate beam and continuous beam are one of version the most frequently used in the engineering, and grasping their stressed and deformation characteristics under fixed load and Moving Loads is one of basic quality of relevant industries engineering technical personnel.Yet the stress deformation characteristic of multispan statically determinate beam and continuous beam is comparatively complicated, and related notion, principle and analytical approach are more, and more abstract.For example the multispan statically determinate beam is carried out internal force analysis, at first should analyze its geometrical construction, its each several part is divided into essential part, accessory constituent and inferior accessory constituent (if the words that have) etc.; Under the outer load effect, because Path of Force Transfer is to accessory constituent from inferior accessory constituent, arrive essential part at last, pretending the load that is used on the essential part will not exert an influence to accessory constituent, but then influential conversely, so must analyze according to the order of above-mentioned Path of Force Transfer during internal force analysis.Under the unit Moving Loads, the end reaction of multispan statically determinate beam and internal force influence line to be formed by straight-line segment, utilizes static(al) method and mobile law all can obtain, but utilizes mobile law more convenient usually; The essence of mobile law be with influence line analogy for removed one with negating power or the corresponding constraint of internal force after the distortion figure line of beam mechanism.Continuous beam is a hyperstatic structure, acts on a certain load in striding and generally other is striden all influentially, and therefore multispan static determinacy Liangqi distribution of internal force more becomes even relatively.The internal force of continuous beam can adopt methods such as force method, displacement method, moment distribution method to analyze.Under the unit Moving Loads, the line that influences of the end reaction of continuous beam and internal force is curve, and the analogy method (being equivalent to aforesaid mobile law) between employing and sag curve is more convenient usually.For the beginner, if only depend on theoretical means, then need through longer a period of time study, train, grope and sum up, could grasp the stress deformation characteristics of multispan statically determinate beam and continuous beam and relevant notion, principle and analytical approach preferably.In general, to the study of multispan statically determinate beam and continuous beam,, depend theoretical means alone and produce effects slower though theory teaching is essential.If on the basis of theory teaching, can then can further accelerate, deepen understanding, thereby reach the raising efficiency of teaching, improve the purpose of teaching efficiency in conjunction with some directly perceived, vivid experimental demonstration teaching to related notion, method.
Summary of the invention
The objective of the invention is at the deficiencies in the prior art, a kind of multi-span beam multifunction stress deformation demonstration instrument is provided, and the present invention can directly demonstrate multispan statically determinate beam and continuous beam influences line profile in the deflection deformation curve under the fixed load effect and the end reaction under the unit Moving Loads and internal force (mainly being moment of flexure).
The objective of the invention is to be achieved through the following technical solutions: the present invention has the thin walled beam sheet of pin joint in the beam, beam-ends concave-convex type pin joint and the firm arm of concave-convex type by multistage, and the fixed-hinged support of support beam sheet and movable hinged shoe are formed; Penetrate in the node with cylindrical thin bar latch (bearing) between beam sheet and the beam sheet, between beam sheet and the bearing and bearing in the cylinder plugs hole be formed by connecting.Pin joint is outstanding downwards by beam sheet bottom surface in the beam, and there is a cylinder plugs hole centre; One of beam-ends concave-convex type pin joint is that matrix, one are convex, and outstanding downwards by bottom surface, beam sheet end, there is a cylinder plugs hole centre; The firm arm of beam-ends concave-convex type is protruded upward by beam sheet end end face, and just a cylinder plugs hole is arranged at the arm top.Fixed-hinged support and movable hinged shoe all are designed to Y type structure, and the width of Y type opening is slightly larger than the width of beam sheet, and two semi-girders of Y type are provided with the two rows pin hole, and last row is normal hole, row is preformed hole down; The pin hole of fixed-hinged support is circular, and the pin hole size of pin joint and beam-ends pin joint is identical in its size and the beam; The pin hole of movable hinged shoe is the runway shape that two ends are semicircle, in the diameter of semicircle and the beam and the diameter of the pin hole of beam-ends pin joint identical.Thin walled beam sheet, pin joint, firm arm, bearing, latch etc. are all made of steel.
Directly penetrate the pin hole in the pin joint and hinged-support in the beam with latch, this node directly can be linked to each other with bearing; With the pin hole of latch insertion beam-ends matrix and convex pin joint, two beam sheets can be linked to each other, form a beam-ends pin joint; If above-mentioned latch penetrates the pin hole of hinged-support simultaneously, then form a bearing pin joint.If the matrix on this node top is also linked to each other with latch with the pin hole of the firm arm of convex, then will stop relatively rotating of the firm arm of beam-ends concave-convex type, promptly just arm is in the lock state, and this moment, the beam-ends pin joint just was converted into a rigid joint that does not have relative rotation.
The concave-convex type pin joint of each section beam sheet is linked to each other, be connected with bearing again, by locking or loosen the firm arm of beam-ends concave-convex type, can form that the beam-ends node is the continuous beam that rigidly connects node, part rigidly connects the hinged indeterminate multispan beam of part, multi-form static determinacy multispan beam and the variable beam of the geometry mechanism with rigid body displacement degree of freedom.By on the beam sheet, hanging counterweight or other weights, or force the firm arm of beam-ends concave-convex type to relatively rotate, or the pin joint at one or several bearing place moved to down socket pin-and-hole (preformed hole) by last socket pin-and-hole (normal hole), because of beam sheet thickness less, so deflection deformation or relative mechanism kinematic (only when the variable mechanism of beam sheet composition geometry) will take place in each beam sheet, so just can obtain to apply external load, pin joint relatively rotates (being equivalent to apply a pair of outer couple), vertical deformation curve when mobile takes place in bearing, and the bending-moment influence line under the unit traveling load, the outline line of influence line of reactions.
The invention has the beneficial effects as follows:
1) apparatus for demonstrating is a fabricated construction, assembly unit immediately or dismounting, and simple structure, easy to carry, be applicable to operation, the demonstration of different occasions.
2) the ingenious design of the firm arm of concave-convex type not only makes version change freely, and can simulate the pin joint both sides and apply the situation that moment of face or pin joint both sides relatively rotate.
3) feature richness is various.By locking or loosen the relative motion of firm arm,, can be assembled into diversified static determinacy or indeterminate multispan beam structure or how much variable beam mechanisms by the position of conversion bearing node; By plug-in counterweight, or force firm arm to relatively rotate, or make that the bearing node is upper and lower to be moved, can simulate and apply vertical external force, node moment of face, or apply dissimilar external action such as support displacement; By loosening the constraint of firm arm, and it is relatively rotated, or make that the bearing node is upper and lower to be moved, but moment of flexure under the mock up flat Moving Loads and end reaction are along the situation of change (promptly influencing the distribution situation of line) of beam axle.
Description of drawings
Fig. 1 is the structural representation of demonstrator of the present invention;
Among Fig. 2, (a) and (b), (c), (d) are respectively the front view and the vertical views of the first beam sheet, the second beam sheet, the 3rd beam sheet and the 4th beam sheet;
Among Fig. 3, (a) and (b), (c) are respectively the front elevation of fixed-hinged support, the front elevation of movable hinged shoe, the side view of two kinds of bearings;
Fig. 4 is the calculation diagram of first embodiment;
Fig. 5 is the calculation diagram of second embodiment;
Fig. 6 is the calculation diagram of the 3rd embodiment;
Fig. 7 is the calculation diagram of the 4th embodiment;
Among the figure, 1, the first beam sheet, 2, the second beam sheet, 3, the 3rd beam sheet, 4, the 4th beam sheet, 5, fixed-hinged support, 6, movable hinged shoe, 7, beam-ends concave-convex type pin joint, 8, the firm arm of beam-ends concave-convex type, 9, the scale pan and the counterweight of band hanging wire, 10, pin joint in the beam, 11, beam-ends matrix pin joint (band pin hole), 12, the firm arm of beam-ends matrix (band pin hole), 13, beam-ends convex pin joint (band pin hole), 14, the firm arm of beam-ends convex (band pin hole), 15, row's cylinder plugs hole (normal hole) on the bearing, 16, bearing is row cylinder plugs hole (preformed hole) down, 17, the base of bearing, 18, row's runway shape pin hole (normal hole) on the bearing, 19, row's runway shape pin hole (preformed hole) under the bearing, 20, the distortion figure line of first embodiment, 21, the distortion figure line of second embodiment, 22, the distortion figure line of the 3rd embodiment, 23, the distortion figure line of the 4th embodiment.
Embodiment
The invention will be further described below in conjunction with drawings and Examples, and it is more obvious that purpose of the present invention and effect will become.
As shown in Figures 2 and 3, penetrate the pin hole of pin joint 10 in the beam of the last socket pin-and-hole 15 of fixed-hinged support 5 and the first beam sheet 1 with cylinder plugs simultaneously, use with quadrat method pin joint 10 in the beam of the 3rd beam sheet 3 and the 4th beam 4 is linked to each other with the last socket pin-and-hole 18 of a movable hinged shoe 6 respectively; With latch the first beam sheet 1 is linked to each other with the concave-convex type pin joint 11,13 of the 4th beam sheet 4 with the 3rd beam sheet 3, the 3rd beam sheet 3 with the second beam sheet 2, the second beam sheet 2, wherein the first beam sheet 1 also links to each other with the last socket pin-and-hole 18 of movable hinged shoe 6 simultaneously with the node of the second beam sheet 2 again; Pin hole with the firm arm 12,14 of the first beam sheet 1 and the concave-convex type of the second beam sheet 2 links to each other with latch at last, promptly locks the firm arm at this node place.So just obtained multispan beam structure shown in Figure 1, the calculation diagram of this structure is shown in the solid line part of Fig. 4.
In the embodiment shown in fig. 4, because of the firm arm 8 of the concave-convex type of the first beam sheet 1 and the second beam sheet 2 is in the lock state, the firm arm at all the other two node places is in relaxation state, so the link node of first and second beam sheet is a rigid joint, all the other two nodes are pin joint.This structure is actually one three and strides the statically determinate beam structure, and wherein the first beam sheet 1 and the second beam sheet 2 have rigidly connected as a wholely, belong to essential part, and the 3rd beam sheet 3 and the 4th beam sheet 4 are respectively accessory constituent and time accessory constituent.Counterweight is put on the medium position of the second beam sheet,,, obtain the distortion figure line 20 shown in Fig. 4 dotted line thus so four beam sheets will deform or displacement because beam sheet thickness is less.This distortion figure line 20 has reflected the stress deformation characteristic of static determinacy multispan beam structure intuitively: because of external force (counterweight) puts on essential part, so have only the first beam sheet 1 and the second beam sheet 2 that deflection deformation takes place as essential part, and be the top tension, its distortion figure line is the curve of epirelief; The 3rd beam sheet 3 and the 4th beam sheet 4 as accessory constituent do not have internal force and distortion (distortion that the deadweight of beam sheet causes is very little, and naked eyes are subtle, so can ignore it), the displacement that only produces the rigid body system, and its distortion figure line is a straight line.
In second embodiment shown in Figure 5, node connected mode between each beam sheet is identical with first embodiment (Fig. 4), but pin joint in the beam of the first beam sheet, 1 left end is moved to down socket pin-and-hole (preformed hole) by the last socket pin-and-hole of fixed-hinged support 5 (normal hole), remove the counterweight 9 that puts on the beam simultaneously.A downward support displacement has taken place in this left end bearing that just is equivalent to this multispan beam, obtains distortion figure line behind the girder construction generation support displacement thus shown in Fig. 5 dotted line 21.This distortion figure line 21 is straight line, and promptly each beam sheet does not all produce internal force and distortion, and this has intuitively reflected a basic mechanical characteristic of statically determinate structure: statically determinate structure generation support displacement, structure does not produce internal force and counter-force.On the other hand, make influence the principle of line according to mobile law, this displacement figure line 21 also is the profile diagram (establish counter-force with downward for just) of the influence line for reaction of this multispan beam left end bearing.Can see that from the shape of profile Figure 21 the influence line for reaction of static determinacy multispan beam is formed by straight-line segment.
On the basis of first embodiment of Fig. 4, the second beam sheet 2 is respectively linked to each other with a latch with the pin hole of the firm arm 8 of concave-convex type of 4 of the 4th beam sheets with the 3rd beam sheet 3, the 3rd beam sheet 3, thereby the firm arm of these two nodes is also locked, so just obtained a three-span continuous beam structure, shown in Fig. 6 solid line part.
In the embodiment shown in fig. 6, counterweight puts on the medium position of the second beam sheet.Under the counterweight load action, deflection deformation will take place in the beam sheet, and its distortion figure line is shown in Fig. 6 dotted line 22.This distortion figure line 22 is curve, and its amount of deflection and first embodiment among Fig. 4 to compare (supposing that counterweight weight is identical) totally less.This phenomenon explanation this moment, four beam sheets all had internal force and distortion, and the integral rigidity performance of girder construction is stronger than first embodiment, and the structure stress distortion is tending towards evenly, and this is the reflection directly perceived of hyperstatic structure mechanical characteristic just.
In the 4th embodiment shown in Figure 7, the profile diagram of continuous beam bending-moment influence line has obtained demonstration intuitively.This embodiment is on the beam structure basis of the 3rd embodiment (Fig. 6), remove the counterweight that puts on the beam, remove the constraint (promptly extracting the latch in the firm arm pin hole) of the firm arm of concave-convex type between the first beam sheet 1 and the second beam sheet 2 simultaneously, and make the linger pin joint latch of sheet below of firm arm of matrix 12 and the firm arm 14 of convex take place one and relatively rotate (matrix is counterclockwise, and convex is clockwise).Insert the pin hole of the firm arm 14 of convex and make the latch two ends abut against the outside of the firm arm 12 of matrix with latch, so just can keep the relative rotation of the firm arm of concave-convex type.Under this relative rotation effect, the deflection deformation figure line 23 shown in Fig. 7 dotted line will take place in each beam sheet.According to the principle of virtual work, this figure line is exactly that the bending-moment influence line profile diagram in second bearing cross section (promptly removing constraint place of firm arm) is played on a continuous beam left side.
Change the connected mode (promptly locking or remove firm arm constraint) between each beam sheet end node, or the active position of change counterweight, or in the change beam and the link position of beam-ends pin joint and bearing pin hole (going up round and following round), also can obtain other diversified embodiment.
Claims (3)
1. the multifunction stress deformation demonstration instrument of multispan statically determinate beam and continuous beam, it is characterized in that, it has the thin walled beam sheet of pin joint in the beam, beam-ends concave-convex type pin joint and the firm arm of concave-convex type by multistage, and the fixed-hinged support of support beam sheet and movable hinged shoe are formed.Between beam sheet and the beam sheet, the cylinder plugs hole that penetrates in the node and in the bearing with cylindrical thin bar latch between beam sheet and the bearing is formed by connecting.
2. the multifunction stress deformation demonstration instrument of multispan statically determinate beam according to claim 1 and continuous beam is characterized in that, pin joint is outstanding downwards by beam sheet bottom surface in the described beam, and there is a cylinder plugs hole centre.One of beam-ends concave-convex type pin joint is that matrix, one are convex, and outstanding downwards by bottom surface, beam sheet end, there is a cylinder plugs hole centre.The firm arm of beam-ends concave-convex type is protruded upward by beam sheet end end face, and just a cylinder plugs hole is arranged at the arm top.
3. the multifunction stress deformation demonstration instrument of multispan statically determinate beam according to claim 1 and continuous beam, it is characterized in that, described fixed-hinged support and movable hinged shoe are Y type structure, and the width of Y type opening is slightly larger than the width of beam sheet, and two semi-girders of Y type are provided with the two rows pin hole.The pin hole of fixed-hinged support is circular, and the pin hole of movable hinged shoe is the runway shape that two ends are semicircle.
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| CN2009101544488A CN101697258B (en) | 2009-11-02 | 2009-11-02 | Multi-span beam multifunction stress deformation demonstration instrument |
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| CN2009101544488A CN101697258B (en) | 2009-11-02 | 2009-11-02 | Multi-span beam multifunction stress deformation demonstration instrument |
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| CN101697258A true CN101697258A (en) | 2010-04-21 |
| CN101697258B CN101697258B (en) | 2011-12-07 |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102426131A (en) * | 2011-12-26 | 2012-04-25 | 昆明理工大学 | Curved beam-arch integrated experimental device used in electronic universal testing machine |
| CN102750856A (en) * | 2012-05-30 | 2012-10-24 | 浙江科技学院 | Experiment model for continuous beam |
| CN104575178A (en) * | 2014-12-31 | 2015-04-29 | 浙江工业大学 | Observation device for virtual work principle exhibition and teaching |
| CN106327966A (en) * | 2016-09-23 | 2017-01-11 | 大连理工大学 | Assembly beam structure experiment model and method |
| CN109817079A (en) * | 2018-12-17 | 2019-05-28 | 安徽省交通控股集团有限公司 | A kind of verification method of Continuous Beam Model test |
| CN110906116A (en) * | 2019-11-01 | 2020-03-24 | 上海卫星工程研究所 | Integrated platform supporting hinge |
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2009
- 2009-11-02 CN CN2009101544488A patent/CN101697258B/en not_active Expired - Fee Related
Cited By (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102426131A (en) * | 2011-12-26 | 2012-04-25 | 昆明理工大学 | Curved beam-arch integrated experimental device used in electronic universal testing machine |
| CN102426131B (en) * | 2011-12-26 | 2015-04-22 | 昆明理工大学 | Curved beam-arch integrated experimental device used in electronic universal testing machine |
| CN102750856A (en) * | 2012-05-30 | 2012-10-24 | 浙江科技学院 | Experiment model for continuous beam |
| CN102750856B (en) * | 2012-05-30 | 2014-07-02 | 浙江科技学院 | Experiment model for continuous beam |
| CN104575178A (en) * | 2014-12-31 | 2015-04-29 | 浙江工业大学 | Observation device for virtual work principle exhibition and teaching |
| CN106327966A (en) * | 2016-09-23 | 2017-01-11 | 大连理工大学 | Assembly beam structure experiment model and method |
| CN106327966B (en) * | 2016-09-23 | 2022-05-13 | 大连理工大学 | Assembly beam structure experiment model and method |
| CN109817079A (en) * | 2018-12-17 | 2019-05-28 | 安徽省交通控股集团有限公司 | A kind of verification method of Continuous Beam Model test |
| CN109817079B (en) * | 2018-12-17 | 2021-06-08 | 安徽省交通控股集团有限公司 | Verification method of continuous beam model test |
| CN110906116A (en) * | 2019-11-01 | 2020-03-24 | 上海卫星工程研究所 | Integrated platform supporting hinge |
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