CN103620119B - Method for designing corrugated steel sheet and corrugated steel sheet flume - Google Patents

Abstract

Provided is a method that is for designing a corrugated steel sheet and that is characterized by-when designing the corrugated shape of the corrugated steel sheet configuring a corrugated steel sheet flume that comprises a corrugated steel sheet having corrugations having a wave depth of H, forms a U-shape by means of two side walls and a floor, and has a floor linear section length of d-setting the wave depth (H) with respect to the floor linear section length (d) in a manner so that the overall buckling pressure (pcr) when the floor of the corrugated steel sheet flume buckles by means of external pressure acting horizontally to the outside surface of the two side walls, and the yield stress (sigma y) when the floor of the corrugated steel sheet flume yields by means of the external pressure are equivalent.

Description

The method for designing of corrugated steel and corrugated steel groove

Technical field

The present invention is about the method for designing above-mentioned corrugated steel of the U-shaped corrugated steel groove using corrugated steel to form being designed to the corrugated steel of (especially designing its waveform shape), and the corrugated steel groove using the corrugated steel obtained according to this method for designing to form.

Background technology

Corrugated steel groove uses the corrugated steel 1a of the waveform had as shown in Figure 4, and as shown in Figure 3, the cross sectional shape of U-shaped is formed on sidewall 2 and the bottom 3 of bottom line part length d of both sides, being called ripple groove or U-lag etc., using when constructing the water route of various opening or draining road (building canals) etc.This kind of corrugated steel groove generally uses ripple section (corrugated steel) specified as " ripple tubulation and ripple section " in JIS JISG3471 to form.

As the kind of the corrugated steel used in corrugated steel groove, cut into slices identical respectively 1 type of the cross sectional shape of (ripple is cut into slices), 2 types of 1 type, 2 types of the ripple tubulation had and specify in JIS are cut into slices, the wave space b of the cross sectional shape of 1 type section is 68mm, the depth H of ripple is 13.0mm, and the wave space b of the cross sectional shape of circular 2 type sections is 150mm, the depth H of ripple is 48mm or 50mm.

Use the corrugated steel groove of 1 type section, such as, construct with the cross sectional shape of such as Figure 10 (a), (b).Reinforcement edge angle steel 4 is fixed along the upper end of sidewall 2 with bolt, two side 2 by arranging at slot length direction processed (in Figure 10 and the orthogonal direction of paper) interval the pillar (supporting member) 5 formed by the chevron steel linked between its upper end, and obtains reinforcement.

The type of Figure 10 (a) comprises 1 piece of section, but the type of Figure 10 (b) comprises the 2 pieces of sections in left and right, and bottom 3 has bolted joints portion.

Use the cross sectional shape of the corrugated steel groove of 2 type sections roughly the same with the type of above-mentioned (a), but span is comparatively large, therefore as Figure 11, comprise the left and right section of symmetry and the section of bottom etc. 3 and cut into slices, 2 places of bottom 3 have bolted joints portion.

The corrugated steel used in patent document 1 is different from the purposes such as to build canals, use as load support tectosome, but the cross sectional shape of this corrugated steel, the spacing of ripple is 30.5cm (12 inches), and the degree of depth of ripple is 10.2cm (4 inches).

As mentioned above, use in previous corrugated steel groove in normalized corrugated steel (ripple section), the depth-set of ripple is specific dimensions, but this specific dimensions is groundless about the efficiency of the steel use amount of relative corrugated steel groove intensity.

Further, in the corrugated steel that patent document 1 is recorded, the degree of depth of ripple more greatly 102mm (10.2cm) etc., but the efficiency of the steel use amount of the intensity of the tectosome constructed about relative usage corrugated steel is still groundless.

Patent document 1: Japanese Laid-Open Patent Publication 53-620

Summary of the invention

When constructing U-shaped water route or draining road etc., if for construction than the structure using previous span (distance between U-shaped two wall) the larger span allowed when normalized corrugated steel constructs the situation of corrugated steel groove, then in order to improve rigidity, need the cross sectional shape at least changing previous corrugated steel.

When changing the cross sectional shape of corrugated steel, relation between cause and corrugated steel groove intensity, steel use amount is increased to more than necessary amount, thus Master Cost increase thus construction cost uprise, therefore need to avoid this situation, seek to fasten effective cross sectional shape in the pass of corrugated steel groove intensity and steel use amount.

But present situation is, for the corrugated steel that U-shaped two side is used by the corrugated steel groove of external pressure, also do not calculate the method for this useful cross section shape.

For U-shaped two side by the corrugated steel used in the corrugated steel groove of external pressure, in the various investigations of the method calculating useful cross section shape are investigated, the present application person etc. are conceived to only investigate effective cross sectional shape not necessarily this one side abundant from the viewpoint of cross section second moment.Namely, in the structure of U-shaped two side by external pressure, there is the situation that bottom straight line portion material destroys relative to used load surrender quilt, and the situation that bottom straight line portion is destroyed because of flexing, therefore for because of surrender caused destruction with because of the intensity of the destruction caused by flexing, the cross sectional shape obtaining the balance of this intensity is useful cross section shape, is conceived to this point, thus obtains the present invention.

The present invention forms in view of above-mentioned background, its object is to provide a kind of, the large span corrugated steel groove cannot constructed by the cross sectional shape of the corrugated steel of present situation is made to become possibility, the method for designing fastening the corrugated steel of the useful cross section shape (especially its waveform shape) of corrugated steel in the intensity of corrugated steel groove and the pass of steel use amount can be obtained simultaneously, and use the corrugated steel groove constructed by corrugated steel obtained according to this method for designing.

The method for designing of the corrugated steel of the invention of the technical scheme 1 solved the problem, it is characterized in that: the corrugated steel comprising the depth H waveform of ripple at structure, and two side becomes U-shaped with bottom, during the waveform shape of the above-mentioned corrugated steel of the corrugated steel groove of bottom line part length d, to make the bottom of corrugated steel groove due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side external surface during flexing _crwith due to yield stress σ when above-mentioned external pressure is surrendered _yequal mode, sets the depth H of the ripple relative to bottom line part length d.

The feature of technical scheme 2 is, in the method for designing of the corrugated steel of technical scheme 1, to make all flexing relevant pressure p shown in following (1) formula _crwith yield stress σ _yequal mode, sets the depth H of the ripple relative to bottom line part length d;

Wherein,

D: bottom line part length mm

P _cr: all flexing relevant pressure N/mm ²

E: coefficient of elasticity N/mm ²

σ _y: yield stress N/mm ²

B: the width of the corrugated steel length of the ripple orthogonal direction of corrugated steel groove (=with) mm

I: the cross section second moment mm of the every width B of corrugated steel ⁴

A: the sectional area mm of the every width B of corrugated steel ²

[several 1]

$p_{\mathrm{cr}}=\frac{{\mathrm{\π}}^2\·E\·I}{A\·d^2}\·\·\·\left(1\right).$

The feature of technical scheme 3 is, in the method for designing of the corrugated steel of technical scheme 2, according to following formula (7), setting is relative to the depth H of the ripple of bottom line part length d,

Wherein,

A: wave-amplitude (=H/2) mm

T: thickness of slab mm

[several 2]

$a=\sqrt{\frac{2\·{\mathrm{\σ}}_y\·d^2}{{\mathrm{\π}}^2\·E}-\frac{t^2}{6}}\·\·\·\left(7\right).$

The feature of technical scheme 4 is, in the method for designing of the corrugated steel of technical scheme 2, according to following formula (9), setting is relative to the depth H of the ripple of bottom line part length d,

Wherein,

A: wave-amplitude (=H/2) mm

[several 3]

$a=\frac{d}{\mathrm{\π}}\sqrt{\frac{2\·{\mathrm{\σ}}_y}{E}}\·\·\·\left(9\right).$

The method for designing of the corrugated steel of technical scheme 5, it is characterized in that: the corrugated steel comprising the depth H waveform of ripple at structure, and two side becomes U-shaped with bottom, during the waveform shape of the above-mentioned corrugated steel of the corrugated steel groove of bottom line part length d, based on the bottom of corrugated steel groove due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side external surface during flexing _crwith yield stress σ when surrendering due to external pressure _ythe relation of bottom line part length d when becoming equal and the depth H of ripple, in the mode making buckling load be greater than yield load, sets the depth H of the ripple relative to bottom line part length d.

The feature of technical scheme 6 is, in the method for designing of the corrugated steel of technical scheme 5, comprise: the step of setting the 1st relation line, set bottom relative to corrugated steel groove due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side external surface during flexing _crwith yield stress σ when surrendering due to external pressure _y1st relation line of the depth H of the ripple of bottom line part length d when becoming equal; Set the step of the 2nd relation line, based on above-mentioned 1st relation line, between each given zone, set the 2nd stepwise varying relation line of the depth H of ripple relative to bottom line part length d; And the depth H step of setting ripple, based on above-mentioned 2nd relation line, set the depth H of the ripple relative to bottom line part length d; And being the region that buckling load is greater than yield load relative to a side region of above-mentioned 1st relation line, is the region that yield load is greater than buckling load relative to the opposing party region of above-mentioned 1st relation line; Above-mentioned 2nd relation line is set in one side region, and in an above-mentioned given zone, no matter how bottom line part length d changes, the depth H of ripple is all fixing.

The method for designing of the corrugated steel of the invention of technical scheme 7, it is characterized in that: the corrugated steel comprising the depth H waveform of ripple at structure, and two side becomes U-shaped with bottom, during the waveform shape of the above-mentioned corrugated steel of the corrugated steel groove of bottom line part length d, according to following formula (8), setting is relative to the depth H of the ripple of bottom line part length d

Wherein,

A: wave-amplitude (=H/2) mm

T: thickness of slab mm

[several 4]

$a>\sqrt{\frac{2\·{\mathrm{\σ}}_y\·d^2}{{\mathrm{\π}}^2\·E}-\frac{t^2}{6}}\·\·\·\left(8\right).$

The corrugated steel groove of the invention of technical scheme 8, it is characterized in that: the corrugated steel comprising the depth H waveform of ripple, and two side becomes U-shaped with bottom, the depth H of the ripple of the above-mentioned corrugated steel in the corrugated steel groove of bottom line part length d, has the method for designing of the corrugated steel of basis according to any one of technical scheme 1 to 7 and the size that determines.

In corrugated steel by method for designing gained of the present invention, the depth H of the ripple corresponding with the specific bottom line part length d of corrugated steel groove is, all flexing relevant pressure p during bottom straight line portion flexing of the corrugated steel groove formed to use this corrugated steel _crthe mode that yield stress when surrendering with above-mentioned bottom straight line portion is equal sets.That is, in the corrugated steel groove using this corrugated steel to form, all flexing relevant pressure p during bottom straight line portion flexing of this corrugated steel groove _cryield stress σ when surrendering with above-mentioned bottom straight line portion _yroughly equal.

Therefore, all backling and yielding produce roughly simultaneously.Have nargin to all flexings when surrender being had to nargin or produces surrender on the contrary when producing all flexings, mean, the member section of corrugated steel groove does not bear used load all sidedly; And all backling and yielding produce and mean roughly simultaneously, member section bears used load comprehensively.Therefore such cross sectional shape can say that fastening in the intensity of corrugated steel groove and the pass of steel use amount is effective cross sectional shape (waveform shape).

The formula (1) of technical scheme 2 represents, when the invention design section shape according to technical scheme 1, set depth H (=2 × wave-amplitude concrete formula a) of ripple for the mode equal with surrender relevant pressure py with all flexing relevant pressure pcr.

Represent in technical scheme 3, for setting the direct-type of the depth H (=2a) of the ripple of corrugated steel according to the invention of technical scheme 2.If determine the numerical value of thickness of slab t in this formula, then directly can obtain the relation of the depth H (=2a) of bottom straight length d and ripple.

Also represent in technical scheme 4, for setting the direct-type of the depth H (=2a) of the ripple of corrugated steel according to the invention of technical scheme 2, but in this technical scheme 4, in the formula of technical scheme 3, the impact of thickness of slab t is small, therefore omit thickness of slab t item, and represent the simplified style of the direct relation of the depth H (=2a) as bottom straight length d and ripple.Thus, the Waveform Design of corrugated steel becomes extremely simple and easy.

Accompanying drawing explanation

Fig. 1 is the key diagram of the method for designing for illustration of the corrugated steel groove involved by embodiments of the present invention, a () represents that external pressure horizontal force is in the state of the wall outer surface of corrugated steel groove both sides, (b) represents all flexing relevant pressure p _cract on the state of the bottom line part of corrugated steel groove due to above-mentioned external pressure, (c) represents yield stress σ _yact on the state of bottom line part.

Fig. 2 is the schematic diagram that compressive load acts on the situation of the bottom line part of the corrugated steel groove of Fig. 1 (b) or (c).

Fig. 3 is the stereogram of the outward appearance of the body part of the corrugated steel groove representing Fig. 1.

Fig. 4 is the schematic diagram of the waveform shape in the corrugated steel cross section forming above-mentioned corrugated steel groove.

Fig. 5 is an embodiment of the method for designing as corrugated steel groove of the present invention, when making the waveform shape near-sinusoidal of the corrugated steel of Fig. 2 and set waveform shape, and the schematic diagram of this approximate waveform shape.

Fig. 6 illustrates the figure deriving and try to achieve the main points of the formula (4) of the sectional area A of the width B of corrugated steel.

Fig. 7 illustrates the figure deriving and try to achieve the main points of the formula (6) of the I (cross section second moment) of corrugated steel.

The chart of Fig. 8 for the relation of numerical expression (8) is made, when designing the situation of waveform shape of corrugated steel according to the method for designing of corrugated steel groove of the present invention, the schematic diagram of an example of the relation of the depth H (2 times of wave-amplitude a) of bottom line part length d and ripple.

The roughly proportional corresponding relation that Fig. 9 is the depth H by the bottom line part length d shown in the figure of Fig. 8 and ripple is modified to the schematic diagram of depth H relative to the embodiment of the corresponding relation of bottom line part length d phasic Chang of ripple.

Figure 10 is that (a), (b) are respectively dissimilar by the schematic diagram of the major section shape of the 1 type corrugated steel groove of extensively constructing.

Figure 11 is by the schematic diagram of the cross sectional shape of the 2 type corrugated steel grooves of extensively constructing.

The schematic diagram of one example of the relation of the depth H (2 times of wave-amplitude a) that Figure 12 is the bottom line part length d shown in Fig. 8 and ripple, and the schematic diagram of an example of relation considering safety coefficient.

Detailed description of the invention

Hereinafter, with reference to the accompanying drawings of the method for designing implementing corrugated steel of the present invention, and the corrugated steel groove using the corrugated steel obtained according to this method for designing to form.

[embodiment 1]

In the embodiment that the present invention relates to, the corrugated steel of the depth H waveform of ripple is comprised at structure, and two side becomes U-shaped with bottom, during the waveform shape of the above-mentioned corrugated steel of the corrugated steel groove of bottom line part length d, to make the bottom of corrugated steel groove due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side external surface during flexing _crwith yield stress σ when surrendering due to above-mentioned external pressure _yequal mode, sets the depth H of the ripple relative to bottom line part length d.

If be explained with Fig. 1, then if the corrugated steel groove 1 of (a) is when the external surface of the sidewall 2 of its both sides is by horizontal external pressure (shown in arrow), compressive load acts on the line part (bottom line part length d part) of bottom 3.Represent in Fig. 2 that compressive load (shown in hollow arrow) acts on the situation of bottom line part.Now, as collapse state, do not keep the situation of the buckling failure of linear state and flexing just like the line part of bottom Fig. 1 (b) Suo Shi and as Suo Shi Fig. 1 (c) bottom the situation of yield failure of being surrendered by compressing under line part maintenance linear state.In Fig. 1 (b), (c), double dot dash line represents the original cross sectional shape of corrugated steel groove, and d', d'' represent the length with original bottom line part length d corresponding part.

Fig. 4 represents in corrugated steel groove the waveform shape of the general corrugated steel used, and b represents the spacing of ripple, and H represents the degree of depth of ripple, and t represents thickness of slab.As shown in the figure, the waveform shape of general corrugated steel is combination by straight line and curve and is formed, but calculates from the view point of simplification, as shown in Figure 5, is processed approx by waveform shape as sin ripple (sine curve).

In Fig. 5, b is the spacing of ripple, and a is wave-amplitude (=H/2 (half of the depth H of ripple)).Further, as illustrated thickness of slab t approx as the distance process between 2 sin ripples.

Above-mentioned all flexing relevant pressure p _crrepresent with formula (1).This all flexing relevant pressure p _crformula (1) derive for supporting fringe conditions according to the two ends of Euler's formula (Euler's Formula) pin.

[several 5]

$p_{\mathrm{cr}}=\frac{{\mathrm{\π}}^2\·E\·I}{A\·d^2}\·\·\·\left(1\right)$

The symbol p of above-mentioned formula (1) _cr, E, σ _y, I, A, B, d be as described below.

D: bottom line part length mm

P _cr: all flexing relevant pressure N/mm ²

E: coefficient of elasticity N/mm ²

σ _y: yield stress N/mm ²

B: width (width (length of the tube axial direction) of=corrugated steel groove) mm of corrugated steel

I: the cross section second moment mm of each width B of corrugated steel ⁴

A: the sectional area mm of each width B of corrugated steel ²

In the present invention as above, all flexing relevant pressure p during bottom line part flexing with corrugated steel groove _crwith yield stress σ during surrender _yequal mode, the waveform shape of setting corrugated steel.That is, σ _y=p _cr, therefore following formula (2) is directly set up.

[several 6]

${\mathrm{\σ}}_y=\frac{{\mathrm{\π}}^2\·E\·I}{A\·d^2}\·\·\·\left(2\right)$

A (sectional area of the width B of corrugated steel) in formula (2) by calculating the sectional area of 1 wavelength (wave space b), then makes it expand B/b doubly to try to achieve, as shown in the formula (3) recorded in paragraph below." B/b " in formula (3) is above-mentioned B/b times.

Fig. 6 is shown in by deriving the main points of trying to achieve the formula (3) of the sectional area A of corrugated steel width B.The area of the URSV institute encirclement part of Fig. 6 is the area of 1/4 part of wave space b, is therefore 1/4 (A/4) of sectional area A.The area that this sectional area A/4 (=area URSV) surrounds for area-VSZ that URZ surrounds.Therefore formula (3) is obtained.Solve the right of formula (3), formula (4) can be obtained.

[several 7]

$A=4\·\frac{B}{b}\{{\∫}_{\frac{b}{2\·\mathrm{\π}}\·{\sin }^{-1}(-\frac{t}{2\·a})}^{\frac{b}{4}}(a\·\sin (\frac{2\·\mathrm{\π}}{b}\·x)+\frac{t}{2})\mathrm{dx}-{\∫}_{\frac{b}{2\·\mathrm{\π}}\·{\sin }^{-1}\left(\frac{t}{2\·a}\right)}^{\frac{b}{4}}(a\·\sin (\frac{2\·\mathrm{\π}}{b}\·x)-\frac{t}{2})\mathrm{dx}\}\·\·\·\left(3\right)$

[several 8]

A:B·t·２·(4)

In addition, the computational process on formula (3) the right is as follows.

[several 9]

$\begin{array}{c}A=4\·\frac{B}{b}\{{\∫}_{\frac{b}{2\·n}\·{\sin }^{-1}(-\frac{t}{2\·a})}^{\frac{b}{4}}(a\·\sin (\frac{2\·\mathrm{\π}}{b}\·x)+\frac{t}{2})\mathrm{dx}-{\∫}_{\frac{b}{2\·n}{\sin }^{-1}\left(\frac{t}{2\·a}\right)}^{\frac{b}{4}}(a\·\sin (\frac{2\·\mathrm{\π}}{b}\·x)-\frac{t}{2})\mathrm{dx}\}\\ =4\·\frac{B}{b}\{{[-a\·\frac{b}{2\·\mathrm{\π}}\·\cos (\frac{2\·\mathrm{\π}}{b}\·x)+\frac{t}{2}\·x]}_{\frac{b}{2\·\mathrm{\π}}{\sin }^{-1}(-\frac{t}{2\·a})}^{\frac{b}{4}}-{[-a\·\frac{b}{2\·\mathrm{\π}}\·\cos (\frac{2\·\mathrm{\π}}{b}\·x)-\frac{t}{2}\·x]}_{\frac{b}{2\·\mathrm{\π}}{\sin }^{-1}\left(\frac{t}{2\·a}\right)}^{\frac{b}{4}}\}\\ =4\·\frac{B}{b}\{\frac{1}{4}\·t\·b+\frac{a\·b}{2\·\mathrm{\π}}(\cos \left({\sin }^{-1}(-\frac{t}{2\·a})\right)-\cos \left({\sin }^{-1}\left(\frac{t}{2\·a}\right)\right))-\frac{t\·b}{4\·\mathrm{\π}}({\sin }^{-1}(-\frac{t}{2\·\mathrm{\π}})+{\sin }^{-1}\left(\frac{t}{2\·a}\right))\}\\ =B\·t\end{array}$

The I (cross section second moment) of formula (2) is identical with the situation of A, by calculating the cross section second moment of 1 wavelength (wave space b), then makes it expand B/b doubly to try to achieve, shown in (5).

Fig. 7 is shown in by deriving the main points of trying to achieve the formula (5) of the I (cross section second moment) of corrugated steel.The cross section second moment i of the URSV institute encirclement part of Fig. 7 is 1/4 of the cross section second moment of 1 wavelength (wave space b).Further, this cross section second moment i (=URSV part cross section second moment) is that URZ institute surrounds cross section second moment i partly ₁-VSZ surround part cross section second moment i ₂(i=i ₁-i ₂).Therefore I=4B/bi, can obtain formula (5).

In addition, such as URZ surround part cross section second moment i ₁for, to the cross section second moment y around neutral axis (X-axis) in small area Δ K part in Fig. 7 ²Δ K, carries out integration from y=0 to y=a+t/2 and obtains.For cross section second moment i ₂also identical.

Solve the right of formula (5), obtain formula (6).

As A and I in formula (2), the A in substitution formula (4) and the I of formula (6), arranges wave-amplitude a, can obtain formula (7).

[several 10]

$I=4\·\frac{B}{b}\{{\∫}_0^{a+\frac{t}{2}}{y}^2(\frac{b}{4}-\frac{b}{2\·\mathrm{\π}}{\sin }^{-1}(\frac{y}{a}-\frac{t}{2\·a}))\mathrm{dy}-{\∫}_0^{a-\frac{t}{2}}{y}^2(\frac{b}{4}-\frac{b}{2\·\mathrm{\π}}{\sin }^{-1}(\frac{y}{a}+\frac{t}{2\·a}))\mathrm{dy}\}---\left(5\right)$

[several 11]

$I=\frac{t\·B\·a^2}{2}+\frac{t^3\·B}{12}\·\·\·\left(6\right)$

[several 12]

$a=\sqrt{\frac{2\·{\mathrm{\σ}}_y\·d^2}{{\mathrm{\π}}^2\·E}-\frac{t^2}{6}}\·\·\·\left(7\right).$

Formula (7) represents all flexing relevant pressure p _crwith yield stress σ _yequal condition (relation between thickness of slab t, bottom line part length d and wave-amplitude a).

Known according to formula (7), wave space b and all flexing relevant pressure p _crwith yield stress σ _yequal condition has nothing to do.But shown in (1), with all flexing relevant pressure p _crthe size certainly relevant (reason is, if wave space changes, sectional area A, cross section second moment I change) of self.

When using the situation of the SS330 identical with the material of circular 2 type ripple tubulations, be 2.7mm and 4.0mm these 2 kinds for thickness of slab t, if the relation table of formula (7) is shown in figure, then as shown in Figure 8.In this figure, the depth H (2 times of the wave-amplitude a) longitudinal axis being modified to ripple represents.

In addition, in formula (7),

E=2.1×10 ⁵N/mm ²

σ _y=205N/mm ²。

As Fig. 8, represent that the relation line of the depth H relation of bottom line part length d and ripple is almost straight line.And, the relation of the depth H of line part length d and ripple bottom when the relation of the depth H of line part length d and ripple and thickness of slab t are the situation of 4.0mm bottom when thickness of slab t is the situation of 2.7mm, 1 relation line as shown in Figure 8, both almost identical (actual is 2 lines, with identifiable design in the figure of colour display).

When the pass of the depth H of bottom line part length d and ripple ties up on the relation line of Fig. 8, buckling load equal with yield load (all flexing relevant pressures are equal with yield stress), cross sectional shape is now full blast in the endurance of corrugated steel groove (ripple groove) and the relation of steel use amount.

The region be positioned at above relation line is the region that buckling load is greater than yield load.That is, in this region the destruction of corrugated steel groove by surrendering generation.Further, the region be positioned at below relation line is the region that yield load is greater than buckling load.That is, in this region, the destruction of corrugated steel groove is produced by flexing.The relation of the depth H of bottom line part length d and ripple more offsets from relation line up or down, then the difference of buckling load and yield load is larger, the cross sectional shape of formation efficiency difference, and for required allowable load, steel use amount increases.

As mentioned above, the pass of the depth H of bottom line part length d and ripple ties up on the relation line of Fig. 6, and the viewpoint of the efficiency of required allowable load and steel use amount is best.

But, if buckling load is greater than yield load, then buckling failure does not occur prior to yield failure, uses the toughness of the tectosome of ripple tubulation to improve, the generation sharply destroyed can be prevented, it is therefore desirable that adopt the buckling load be positioned at above relation line to be greater than the scope in the region of yield load.

That is, fasten in the pass of the depth H (H=2a) of bottom line part length d and ripple, set shown in (8), more satisfactory in the generation preventing from sharply destroying.

[several 13]

$a>\sqrt{\frac{2\·{\mathrm{\σ}}_y\·d^2}{{\mathrm{\π}}^2\·E}-\frac{t^2}{6}}\·\·\·\left(8\right)$

Adopt the establishing method of the depth H (=2a) of the ripple relative to bottom line part length d as above, following effect can be obtained.

Effectively the strength of materials can be utilized, effectively steel can be used, thus the use amount of saving steel.

Can be applicable to the corrugated steel groove tectosome of large span.

The quantity of the supporting members such as pillar can be reduced, seek the reduction of steel use amount or the raising of application property.Further, make the quantity of supporting member identical, when being of a size of undersized situation, steel use amount can be cut down.

Cross section rigidity (cross section second moment) uprises, and thickness of slab therefore can be made under same load condition thinning.

Deepen the depth H of ripple, thus increase with the adhesion amount of ground, therefore can arrange than on previously steep inclined-plane.

Deepen the depth H of ripple, thus flow velocity can not exceed more than necessity, also without the need to energy dissipator on greatly sloped side.

When buckling load is set greater than the situation of yield load, buckling failure does not occur prior to yield failure, and the toughness of corrugated steel groove improves, and can prevent the generation sharply destroyed.

As mentioned above, in Fig. 8, relation line is almost straight line, no matter and thickness of slab t, be almost visible as 1 straight line, this represents, relative to the item of bottom line part length d in formula (7), the item of thickness of slab t is obviously less, can ignore the impact of thickness of slab t.That is, even if the bottom line part length d in formula (7) is set to 2000mm minimum in Fig. 8, thickness of slab t is set to thicker 4.0mm, also meets d ²=4 × 10 ⁶, t ²=16, because of d ²" t ²even if, therefore think and consider each coefficient (2 σ _y/ π ²e, 1/6) size of value, also can ignore the impact (omit and calculate in detail) of thickness of slab t.

Therefore, formula (7) can be replaced, and use the approximate expression of practical following formula (9).

[several 14]

$a=\frac{d}{\mathrm{\π}}\sqrt{\frac{2\·{\mathrm{\σ}}_y}{E}}\·\·\·\left(9\right)$

Shown in (7) or formula (9), the relational dependence of bottom line part length d and the depth H (=2a) of best ripple is not in yield stress (σ y) (substantially having the different of invar kind and the difference of the coefficient of elasticity E produced).Therefore according to the yield stress of used steel, the relation of the depth H (=2a) of bottom line part length d and best ripple can be tried to achieve.Yield stress such as the widely used SS330 of material of ripple groove is 205N/mm ².In addition, as scope more specifically, thickness of slab t is 1.6 ~ 9.0mm.Coefficient of elasticity E is 20.1 × 10 ⁴~ 21.6 × 10 ⁴n/mm ².Yield stress σ _ybe 168 ~ 325N/mm ².

Such method for designing effect when the situation that the bottom line part length d of corrugated steel groove is larger is especially remarkable.During the less situation of bottom line part length, even if unduly arrange reinforcement members, the adjustment degree of thickness of slab fully intensity countermeasure can also be carried out.On the other hand, during the larger situation of bottom line part length, the necessity using more reinforcement members can be produced.Adopt the optimal method for designing as present embodiment, such reinforcement members can be reduced.In above-mentioned embodiment, become significant scope as effect, illustrating about bottom line part length d is the example of more than 2000mm scope.The lower limit of bottom line part length d is not limited to 2000mm, different according to material etc., such as, can be 1000mm, also can be 3000mm.Be not particularly limited about higher limit, but can be 6000mm.In addition, in embodiment, illustrate about the example of bottom line part length d in below 5000mm scope.

And, based on the figure of Fig. 8, as long as on the relation line that buckling load is equal with yield load or be greater than the region of yield load at buckling load, then how to set the depth H of the ripple relative to bottom line part length d, but also can for this region set upper limit.Such as also can consider safety coefficient and set upper limit.Specifically, as shown in figure 12, the relation line of setting as the bottom line part length d of " buckling load/safety coefficient=yield load " and the depth H of ripple.Herein, safety coefficient=1.68 are adopted.Also the value between the relation line of " buckling load=yield load " and the relation line of " buckling load/safety coefficient=yield load " can be set to relative to the depth H of the ripple of caliber D.Thus, buckling failure can be made not occur prior to yield failure, and sufficient safety can be guaranteed for yield strength.In addition, as long as safety coefficient uses the value for defineds such as materials, during the situation that benchmark is different according to the not equal of country, as long as use the value meeting this benchmark.

[embodiment 2]

When setting the situation of the relation of the depth H of bottom line part length d and ripple in the mode on the relation line of formula (7) or formula (9) gained, the size of non-interim corresponding bottom line part length d and set the depth H of ripple, its manufacture on, in construction, other each side are more complicated, cost increases, and periodically corresponding bottom line part length d is comparatively practical therefore to make the depth H of ripple.

Such as shown in Figure 9, establishing method line part length d every 1000mm in bottom being changed to the depth H of ripple can be adopted.

During the situation that stage changes, compare the buckling failure sharply producing destruction, not easily produce the collapse state that the yield failure sharply destroyed is more suitable for as tectosome, therefore the mode occurred in advance with yield failure sets, and in the region of " buckling load > yield load ", namely carries out setting (setting in the mode in the region not entering " buckling load < yield load ") better.Interim relation line in Fig. 9 is setting like this.The following concrete depth H representing the ripple of each scope of bottom line part length d.

Bottom line part length d is within the scope of 2000mm ~ 3000mm, and the depth H of ripple is 84mm

Bottom line part length d is within the scope of 3000mm ~ 4000mm, and the depth H of ripple is 114mm

Bottom line part length d is within the scope of 4000mm ~ 5000mm, and the depth H of ripple is 142mm

As mentioned above, to make the depth H stage of ripple deepen along the form of the such as relation line of Fig. 9, thus while obtaining above-mentioned various effect, owing to being not buckling failure but yield failure occurs in advance, the generation sharply destroyed therefore can be prevented.

Setting program during situation according to the depth H of the method setting ripple of such as Fig. 9 is as (i) ~ (iii).

(i) setting relative to the bottom of corrugated steel groove due to all flexing relevant pressure p of horizontal force in the external pressure of above-mentioned two side walls during flexing _crwith yield stress σ when surrendering due to above-mentioned external pressure _y1st relation line (relation line of " buckling load=yield load " shown in Fig. 9) of the depth H of the ripple relative to bottom line part length d time equal.

(ii) based on the 1st relation line, between each given zone, (in the example of Fig. 9, the interval of every 1000mm is set) and sets the 2nd relation line (interim relation line as shown in Figure 9) of the depth H phasic Chang of ripple relative to bottom line part length d.

(iii) depth H of the ripple relative to bottom line part length d is set based on the 2nd relation line.

Region (a side region) on the upside of being positioned at relative to the 1st relation line is the region of " buckling load > yield load ", and the region (the opposing party region) on the downside of being positioned at relative to the 1st relation line is the region of " buckling load < yield load ".2nd relation line is located at the region of " buckling load > yield load ", no matter how bottom line part length d changes in an interval, the depth H of ripple is all fixing.

In addition, even if when the depth H of stage setting ripple, the relation line of " buckling load/safety coefficient=yield load " can as shown in figure 12, also be considered.That is, also can in the region between the relation line of " buckling load=yield load " and the relation line of " buckling load/safety coefficient=yield load ", the 2nd relation line that setting is interim.

Utilizability in industry

The present invention can be used for the method for designing above-mentioned corrugated steel of the U-shaped corrugated steel groove using corrugated steel to form being designed to the corrugated steel of (especially designing its bellows-shaped), and the corrugated steel groove using the corrugated steel obtained according to this method for designing to form.

symbol description

1 corrugated steel groove

1a corrugated steel

The wall portion of 2 both sides

Bottom 3

The sectional area mm of each width B of A corrugated steel ²

A wave-amplitude (=H/2) mm

The width of B corrugated steel is (with the length of the ripple orthogonal direction of corrugated steel groove

Degree) mm

D, d', d''(corrugated steel groove) bottom line part length mm

E coefficient of elasticity N/mm ²

The degree of depth mm of H ripple

The cross section second moment mm of each width B of I corrugated steel ⁴

P _crall flexing relevant pressure N/mm ²

T thickness of slab mm

σ _yyield stress N/mm ²

Claims (8)

1. the method for designing of a corrugated steel, it is characterized in that: the corrugated steel comprising the waveform of the depth H of ripple at structure, and two side becomes U-shaped with bottom, during the waveform shape of the described corrugated steel of the corrugated steel groove of bottom line part length d, to make the bottom of corrugated steel groove due to all flexing relevant pressure p of horizontal force in the external pressure of described two side external surface during flexing _crwith yield stress σ when surrendering due to described external pressure _yequal mode, sets the depth H of the ripple relative to bottom line part length d.

2. the method for designing of corrugated steel as claimed in claim 1, is characterized in that, to make all flexing relevant pressure p shown in following (1) formula _crwith yield stress σ _yequal mode, sets the depth H of the ripple relative to bottom line part length d,

Wherein,

D: bottom line part length mm

P _cr: all flexing relevant pressure N/mm ²

E: coefficient of elasticity N/mm ²

σ _y: yield stress N/mm ²

B: the width mm of corrugated steel, the width of this corrugated steel equals the length with the ripple orthogonal direction of corrugated steel groove

I: the cross section second moment mm of the every width B of corrugated steel ⁴

A: the sectional area mm of the every width B of corrugated steel ²

$p_{\mathrm{cr}}=\frac{{\mathrm{\&pi;}}^2\&CenterDot;E\&CenterDot;I}{A\&CenterDot;d^2}...\left(1\right).$

3. the method for designing of corrugated steel as claimed in claim 2, is characterized in that: according to following formula (7), setting is relative to the depth H of the ripple of bottom line part length d,

Wherein,

A: wave-amplitude mm, this wave-amplitude equals H/2

T: thickness of slab mm

$a=\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y\&CenterDot;d^2}{{\mathrm{\&pi;}}^2\&CenterDot;E}-\frac{t^2}{6}}...\left(7\right).$

4. the method for designing of corrugated steel as claimed in claim 2, is characterized in that: according to following formula (9), setting is relative to the depth H of the ripple of bottom line part length d,

Wherein,

A: wave-amplitude mm, this wave-amplitude equals H/2

$a=\frac{d}{\mathrm{\&pi;}}\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y}{E}}...\left(9\right).$

5. the method for designing of a corrugated steel, it is characterized in that: the corrugated steel comprising the waveform of the depth H of ripple at structure, and two side becomes U-shaped with bottom, during the waveform shape of the described corrugated steel of the corrugated steel groove of bottom line part length d, based on the bottom of corrugated steel groove due to all flexing relevant pressure p of horizontal force in the external pressure of described two side external surface during flexing _crwith yield stress σ when surrendering due to described external pressure _ythe relation of bottom line part length d when becoming equal and the depth H of ripple, in the mode making buckling load be greater than yield load, sets the depth H of the ripple relative to bottom line part length d.

6. the method for designing of corrugated steel as claimed in claim 5, is characterized in that, comprising:

Set the step of the 1st relation line: the bottom of setting corrugated steel groove is due to all flexing relevant pressure p of horizontal force in the external pressure of described two side external surface during flexing _crwith yield stress σ when surrendering due to described external pressure _ydescribed 1st relation line of the depth H of the ripple relative to bottom line part length d when becoming equal;

Set the step of the 2nd relation line: based on described 1st relation line, between each given zone, set stepwise varying described 2nd relation line of the depth H of ripple relative to bottom line part length d; And

The step of the depth H of setting ripple: based on described 2nd relation line, set the depth H of the ripple relative to bottom line part length d; And

Being the region that buckling load is greater than yield load relative to a side region of described 1st relation line, is the region that yield load is greater than buckling load relative to the opposing party region of described 1st relation line;

Described 2nd relation line is set in one region, and in given zone described in, no matter how bottom line part length d changes, the depth H of ripple is all fixing.

7. the method for designing of a corrugated steel, it is characterized in that: the corrugated steel comprising the waveform of the depth H of ripple at structure, and two side becomes U-shaped with bottom, during the waveform shape of the described corrugated steel of the corrugated steel groove of bottom line part length d, according to following formula (8), setting is relative to the depth H of the ripple of bottom line part length d

Wherein,

A: wave-amplitude mm, this wave-amplitude equals H/2

T: thickness of slab mm

D: bottom line part length mm

E: coefficient of elasticity N/mm ²

σ _y: yield stress N/mm ²

$a>\sqrt{\frac{2\&CenterDot;{\mathrm{\&sigma;}}_y\&CenterDot;d^2}{{\mathrm{\&pi;}}^2\&CenterDot;E}-\frac{t^2}{6}}...\left(8\right).$

8. a corrugated steel groove, it is characterized in that: the corrugated steel in the degree of depth comprising ripple being the waveform of H, and two side becomes U-shaped with bottom, in the corrugated steel groove of bottom line part length d, the depth H of the ripple of described corrugated steel, has the method for designing according to corrugated steel according to any one of claim 1 to 7 and the size that determines.