JP4723981B2 - Physical quantity deriving device, physical quantity deriving method, and physical quantity deriving program - Google Patents

Description

  The present invention relates to a physical quantity derivation device, a physical quantity derivation method, and a physical quantity derivation program. More specifically, the present invention relates to a physical quantity derivation apparatus, a physical quantity derivation method, and a physical quantity derivation program for deriving a physical quantity related to a force in the horizontal direction of a piled raft foundation.

  In recent years, piled raft foundations that transmit building loads directly to the ground via foundations and piles have attracted attention.

  The piled raft foundation is designed to transmit the building load directly to the ground via the foundation and piles by providing multiple piles to prevent subsidence on the bottom of the direct foundation that supports the building. When the foundation is designed directly, the bearing capacity of the ground satisfies the permissible value, but on the ground where the amount of unsettled settlement is a problem, by effectively arranging the piles to prevent settlement, It is a foundation type that tries to reduce the amount of uneven settlement of the entire foundation by resistance and resistance by piles for restraining settlement.

And in order to enable the horizontal resistance at the time of an earthquake of a piled raft foundation to be calculated in a short time and with high accuracy, Patent Document 1 discloses a direct foundation and a friction pile as a beam element and / or a plate element. When the horizontal resistance of the foundation is calculated by the finite element method by modeling the frictional resistance between the direct foundation and the ground and the horizontal resistance portion of the ground with a ground spring. Technology to calculate the horizontal resistance of the piled raft foundation by reducing the front horizontal ground resistance of the friction pile in the range of a predetermined depth from the direct foundation bottom according to the length dimension in the horizontal force direction at the bottom of the pile Is disclosed.
JP 2002-54157 A

  However, in the technique disclosed in Patent Document 1, since the horizontal resistance value of the ground is calculated by the finite element method, the modeling process is complicated and the analysis cost is high. was there. This problem is also a problem that occurs in other technologies that are calculated using the finite element method.

  On the other hand, a technique for performing a simple analysis that takes into account the interaction between rafts and piles using the Mindlin solution is also conceivable, but this technique has the problem of requiring complex programming.

  The present invention has been made to solve the above problems, and can derive a physical quantity related to the force in the horizontal direction of the piled raft foundation without incurring a high cost and requiring a complicated process. It is an object to provide a physical quantity deriving device, a physical quantity deriving method, and a physical quantity deriving program.

  In order to achieve the above object, a physical quantity derivation device according to claim 1 is a physical quantity derivation apparatus for deriving a physical quantity related to a force in a horizontal direction of a piled raft foundation, wherein the ground displacement in the horizontal direction due to a bottom friction of the raft foundation. Was obtained by incorporating the approximate equation obtained by the approximation into a predetermined equation indicating the deflection of the pile material in the horizontal direction when the pile material is used as a beam material. A storage means in which an arithmetic expression for calculating the physical quantity is stored in advance; an input means for inputting the calculation instruction for the physical quantity; and the arithmetic expression from the storage means when the calculation instruction is input by the input means. Calculation means for reading and calculating the physical quantity; and display means for displaying the physical quantity calculated by the calculation means.

  Here, the principle of the present invention will be described.

The inventors of the present invention considered obtaining the horizontal load sharing ratio of piles of piled raft foundation and the cross-sectional force of the piles from the development of theoretical formulas in the case of uniform ground. Here, as an approximate condition for the interaction, only the interaction from the raft to the pile is considered, and the influence between the piles and from the pile to the raft is ignored.
(A) Ground displacement in the case of uniform ground When a horizontal force F _r is applied to a circular foundation having a radius r, the horizontal displacement on the vertical axis passing through the center of the circle is expressed by the following equation (A).

So,

It becomes.

  When this is exponentially approximated, it is obtained as follows.

a and b ₁ are constant values regardless of G, F _r and r, and the displacement in the ground is obtained as follows.

  Further, when polynomial approximation is obtained, it is obtained as follows.

FIG. 7 shows δg (ζ) / δg (ζ = 0) to ζ according to the equations (1), (2), and (3). As shown in the figure, it can be seen that the calculated value by the expression (1) can be calculated with high accuracy by the approximate expression of the expressions (2) and (3).
(B) Pile material deflection equation The equation using a pile material with ground deformation as a beam material is given by the following equation (4).

  The horizontal displacement δg of the ground is expressed by equation (2)

  far.

  here,

  (2) '

And the equation (5) becomes

It becomes.

  Substituting (5) 'and (6) into (4),

  From (a) = δg,

  Pile head rotation fixed as boundary condition,

  (5) From '

  As a long enough pile,

  Since it is a piled raft foundation, from the same conditions as the deformation of the raft (deformation of the ground) at the pile head,

  Substituting equation (7) into equation (11),

  The curvature φ of the pile is

  The curvature φ (0) of the pile head is

  Substituting equation (7) into equation (13),

  The pile head bending moment is

  The pile head shear force is

  Further, when the horizontal displacement δg of the ground is approximated by the polynomial expression (3),

  here,

  Toki,

  And the expression (3) ′ becomes as follows.

  And the equation (19) is

  Thus, the expression (4) is satisfied.

  Here, if the pile head rotation is fixed as a boundary condition,

  Than,

  From the boundary condition δ (z = 0) = δg (z = 0),

  The curvature φ of the pile is

  The curvature φ (0) of the pile head is

  The pile head shear force is

(C) Pile horizontal load sharing ratio The horizontal displacement δ _{p of the} pile is δ _p = δ _pp + δ _pr and δ _r is δ _r = δ _rr ,

The sharing ratio α _p (= F _p / F) of the pile is

  Similarly, when polynomial approximation is performed, equation (28) becomes

In addition, although the development of the above arithmetic expression explained the case where the ground displacement with respect to the horizontal direction due to the bottom friction of the raft foundation was calculated by the equation (A), the ground displacement was analyzed by FEM (finite element method). The value derived by experiment or the like can be applied. In this case, the depth distribution of the ground displacement is represented in advance by a table or the like, and the ground displacement may be approximated by a predetermined approximate expression. In that case, the coefficients a, Only the coefficients a, b, and c in the case of b ₁ and the polynomial approximation formula are different from those described above.

  Based on the development of the above arithmetic expression, etc., the physical quantity derivation device according to claim 1 approximates the ground displacement in the horizontal direction due to the bottom surface friction of the raft foundation with a predetermined approximate expression, and the approximation obtained by the approximation. An arithmetic expression for calculating the physical quantity obtained by incorporating the equation into a predetermined equation indicating the deflection of the pile material in the horizontal direction when the pile material is used as a beam material is stored in advance by the storage unit. The storage means includes a RAM (Random Access Memory), an EEPROM (Electrically Erasable and Programmable Read Only Memory), a semiconductor storage element such as a flash EEPROM (Flash EEPROM), a smart media (SmartMedia (registered trademark)), a flexible A portable recording medium such as a disk, a fixed recording medium such as a hard disk, or an external storage device provided in a server computer connected to a network is included.

  Here, in the present invention, when the calculation unit inputs the physical quantity calculation instruction by the calculation unit, the calculation formula is read from the storage unit, the physical quantity is calculated, and the calculated physical quantity is displayed. Displayed by means. In addition, the input of the calculation instruction by the input means is input from an external device via a communication line such as a local area network, the Internet, or an intranet, in addition to input via an input device such as a keyboard and a pointing device. Contains input. The display of the physical quantity by the display means includes visible display by a display device or the like, permanent visible display by a printer or the like, audible display by a speaker or the like.

  Thus, according to the physical quantity deriving device of claim 1, in deriving the physical quantity related to the force in the horizontal direction of the piled raft foundation, the ground displacement in the horizontal direction due to the bottom friction of the raft foundation is determined by a predetermined approximate expression. And calculating the physical quantity obtained by incorporating the approximate equation obtained by the approximation into a predetermined equation indicating the deflection of the pile material in the horizontal direction when the pile material is a beam material. The formula is stored in advance by the storage means, and when the physical quantity calculation instruction is input, the calculation formula is read from the storage means, the physical quantity is calculated, and the calculated physical quantity is displayed. The modeling process when using the element method and the complicated programming when using the Mindlin solution are not required, leading to high costs. Without and can be derived physical quantity related to the force with respect to the horizontal direction of the piled raft foundation without requiring a complicated process.

  In the present invention, the ground displacement is calculated by the second equation represented by the following equation as in the invention of claim 2 by applying the arithmetic expression used in the explanation of the principle described above. ,

  The predetermined equation may be an equation represented by the following equation.

  Particularly, in the invention described in claim 2, as in the invention described in claim 3, the approximate expression may be an exponential approximate expression or a polynomial approximate expression up to the third order.

  In this case, either the exponential approximation formula or the polynomial approximation formula may be selectively applied according to a predetermined condition. In addition, for the conditions, the length of the pile and the application (exponential approximation formula is applied to the application that wants to derive the physical quantity stably up to a deep depth, and the application that requires the derivation accuracy in a relatively shallow part is used. And the characteristics of the ground from which physical quantities are derived (for example, an exponential approximation formula is applied to uniform ground, and a polynomial approximation formula is applied to multi-layer ground). .

  Further, according to the present invention, as in the invention described in claim 4, the calculation formula is calculated using the calculation formula for calculating the horizontal load sharing ratio of the piled raft foundation, the calculation formula for calculating the horizontal load of the pile, It is good also as at least one of the arithmetic expressions which calculate a pile head bending moment. Thereby, at least one of these physical quantities can be derived without increasing the cost and without requiring a complicated process.

  In particular, the invention according to claim 4 applies the expressions (33), (18), and (15) derived by the above-described expansion of the arithmetic expression, and like the invention according to claim 5 The calculation formula for calculating the horizontal load sharing ratio of the piled raft foundation is the calculation formula shown by the following formula:

  An arithmetic expression for calculating the horizontal load of the pile is an arithmetic expression represented by the following expression,

  An arithmetic expression for calculating the pile head bending moment of the pile may be an arithmetic expression represented by the following expression.

  Furthermore, the invention described in claim 4 applies the expressions (36), (28), and (25) derived by the above-described expansion of the arithmetic expression, and as in the invention described in claim 6. The calculation formula for calculating the horizontal load sharing ratio of the piled raft foundation is the calculation formula shown by the following formula:

  An arithmetic expression for calculating the horizontal load of the pile is an arithmetic expression represented by the following expression,

  An arithmetic expression for calculating the pile head bending moment of the pile may be an arithmetic expression represented by the following expression.

  On the other hand, in order to achieve the above object, the physical quantity derivation method according to claim 7 is a physical quantity derivation method for deriving a physical quantity related to a force with respect to a horizontal direction of a piled raft foundation, wherein the physical quantity is derived with respect to the horizontal direction due to bottom friction of the raft foundation. It is obtained by approximating the ground displacement with a predetermined approximate expression and incorporating the approximate equation obtained by the approximation into a predetermined equation indicating the deflection of the pile material in the horizontal direction when the pile material is used as a beam material. The calculation formula for calculating the physical quantity is stored in advance by the storage means, and when the physical quantity calculation instruction is input, the calculation formula is read from the storage means to calculate the physical quantity, and the calculation is performed. The physical quantity is displayed.

  Therefore, according to the physical quantity derivation method described in claim 7, since it operates in the same manner as the invention described in claim 1, as in the invention described in claim 1, a complicated process can be performed without increasing the cost. The physical quantity related to the horizontal force of the piled raft foundation can be derived without necessity.

  The invention according to claim 7 is the same as the invention according to claim 2 in terms of the second equation for deriving the ground displacement and the predetermined equation as in the invention of claim 8. It is good.

  Particularly, in the invention described in claim 8, as in the invention described in claim 9, the approximate expression may be an exponential approximate expression or a polynomial approximate expression up to the third order.

  On the other hand, in order to achieve the above object, a physical quantity derivation program according to claim 10 is a physical quantity derivation program for deriving a physical quantity related to a force in a horizontal direction of a piled raft foundation, and is an input for inputting an instruction to calculate the physical quantity. When the calculation instruction is input in the step and the input step, the ground displacement in the horizontal direction due to the bottom surface friction of the raft foundation, which is stored in advance by the storage means, is approximated by a predetermined approximation formula, An arithmetic expression for calculating the physical quantity obtained by incorporating the obtained approximate equation into a predetermined equation indicating the deflection of the pile material in the horizontal direction when the pile material is used as a beam material is read from the storage unit. A calculation step for calculating the physical quantity and a table for displaying the physical quantity calculated by the calculation step. A step, is intended to execute on a computer.

  Therefore, according to the physical quantity deriving program of the tenth aspect, the computer can be caused to act in the same manner as the first aspect of the invention, so that the cost is increased similarly to the first aspect of the invention. Therefore, the physical quantity related to the horizontal force of the piled raft foundation can be derived without requiring a complicated process.

  The invention according to claim 10 is similar to the invention according to claim 2 in that the second equation for deriving the ground displacement and the predetermined equation are the same as in the invention described in claim 11. Also good.

  In particular, in the invention described in claim 11, as in the invention described in claim 12, the approximate expression may be an exponential approximate expression or a polynomial approximate expression up to the third order.

  According to the present invention, in deriving a physical quantity related to the force in the horizontal direction of the piled raft foundation, the ground displacement in the horizontal direction due to the bottom friction of the raft foundation is approximated by a predetermined approximate expression, and obtained by the approximation. An arithmetic expression for calculating the physical quantity obtained by incorporating the approximate equation into a predetermined equation indicating the deflection of the pile material with respect to the horizontal direction when the pile material is used as a beam material is stored in advance by a storage unit. When the physical quantity calculation instruction is input, the arithmetic expression is read from the storage means, the physical quantity is calculated, and the calculated physical quantity is displayed. Therefore, the modeling process when the finite element method is used In addition, since complicated programming is not required when using the Mindlin solution, the cost is not increased and a complicated process is required. Can be derived physical quantity related to the force with respect to the horizontal direction of the Ku piled raft foundation, the effect is obtained that.

  The best mode for carrying out the present invention will be described below in detail with reference to the drawings.

  First, with reference to FIG.1 and FIG.2, the structure of the physical quantity derivation | leading-out apparatus 10 with which this invention was applied is demonstrated.

  As shown in FIG. 1, a physical quantity derivation device 10 according to the present embodiment includes a control unit 12 that controls the overall operation of the device, and a keyboard 14 and a mouse 16 that are used to input various information from the user. And a display 18 for displaying processing results by the apparatus, various menu screens, messages, and the like. That is, the physical quantity deriving device 10 according to the present embodiment is configured by a general-purpose personal computer.

  Next, with reference to FIG. 2, the structure of the main part of the electrical system of the physical quantity derivation device 10 according to the present embodiment will be described.

  As shown in the figure, the physical quantity deriving device 10 includes a CPU (central processing unit) 22 that controls the operation of the entire physical quantity deriving device 10, a RAM 24 used as a work area when the CPU 22 executes various programs, and various controls. Various types of programs including a ROM 26 in which programs and various parameters are stored in advance, a hard disk 28 used for storing various information, the keyboard 14, mouse 16, and display 18 described above, and an externally connected device An external interface 30 that controls transmission / reception of information is connected to each other via a system bus BUS. A printer 50 (not shown in FIG. 1) is connected to the external interface 30.

  Therefore, the CPU 22 accesses the RAM 24, ROM 26 and hard disk 28, acquires various information via the keyboard 14 and mouse 16, displays various information on the display 18, and prints various information using the printer 50 via the external interface 30. , Respectively.

  FIG. 3 schematically shows the main storage contents of the hard disk 28 provided in the physical quantity deriving device 10. As shown in the figure, the hard disk 28 performs an arithmetic expression area EX for storing various arithmetic expressions derived in advance to calculate a physical quantity related to the force in the horizontal direction of the piled raft foundation, and performs various processes. And a program area PG for storing a program for this purpose.

  In the physical quantity deriving device 10 according to the present embodiment, three types of physical quantities are applied as the physical quantity: the horizontal load sharing ratio of the piled raft foundation, the horizontal load of the pile, and the pile head bending moment of the pile. In the calculation formula area EX, the formula (39) is calculated as a calculation formula for calculating the horizontal load sharing ratio, and the formula (40) is calculated as a calculation formula for calculating the horizontal load of the pile. Expressions (41) are stored in advance as calculation expressions for calculating the head bending moment.

  Next, with reference to FIG. 4, the operation of the physical quantity derivation device 10 according to the present embodiment will be described. FIG. 4 is a flowchart showing a flow of processing of a physical quantity derivation program executed by the CPU 22 when a user inputs a physical quantity derivation execution instruction by operating the keyboard 14 and the mouse 16. It is stored in advance in the program area PG of the hard disk 28.

  First, in step 100 of the figure, a parameter input screen for allowing the user to input various parameters necessary for derivation of the physical quantity is displayed on the display 18, and waiting for input of predetermined information in the next step 102. I do.

  FIG. 5 shows the display state of the parameter input screen according to the present embodiment. As shown in the figure, on the screen, a message for prompting input of a parameter used in the calculation of the physical quantity is displayed, and a rectangular frame for inputting the parameter is displayed together with a corresponding parameter name. When the parameter input screen as shown in the figure is displayed on the display 18, the user inputs the value of the parameter into the corresponding rectangular frame using the keyboard 14 and the mouse 16, and then at the bottom of the screen. Pointing is specified with the mouse 16 for the displayed “end” button. Accordingly, step 102 is affirmative and the process proceeds to step 104.

  In step 104, the arithmetic expressions (in this case, the three arithmetic expressions (39) to (41)) stored in the arithmetic expression area EX of the hard disk 28 are read out, and the user inputs these arithmetic expressions on the parameter input screen. The physical quantity is calculated by substituting the parameters input by.

  In the next step 106, based on the calculation result of the process of step 104, a presentation screen showing the calculation result is constructed and displayed on the display 18, and then the physical quantity derivation program is terminated.

  FIG. 6 shows the display state of the presentation screen displayed on the display 18 by the processing of step 106 described above. As shown in the figure, the screen displays the horizontal load sharing ratio, the horizontal load of the pile, and the pile head bending moment calculated in the above step 104 in a list format. Therefore, the user can easily grasp these physical quantities by referring to the presentation screen.

  The processing of step 104 in the physical quantity derivation program corresponds to the calculation step of the present invention, and the processing of step 106 corresponds to the display step of the present invention.

  As described above in detail, in this embodiment, in deriving the physical quantity related to the force in the horizontal direction of the piled raft foundation, the ground displacement in the horizontal direction due to the bottom friction of the raft foundation (here, the equation (37) is used). The calculated equation) is approximated by a predetermined approximate expression, and the approximate equation obtained by the approximation is a predetermined equation (here) indicating the deflection of the pile material in the horizontal direction when the pile material is a beam material Then, the calculation formula (here, formulas (39) to (41)) obtained by incorporation into formula (38) is stored in advance by the storage means (here, hard disk 28). When the physical quantity calculation instruction is input, the arithmetic expression is read from the storage means, the physical quantity is calculated, and the calculated physical quantity is displayed. The modeling process when using the finite element method and the complicated programming when using the Mindlin solution are not required, so the cost and cost of the piled raft foundation are not increased. A physical quantity related to the force in the horizontal direction can be derived.

  In particular, in the present embodiment, the calculation formula is calculated using the calculation formula for calculating the horizontal load sharing ratio of the piled raft foundation, the calculation formula for calculating the horizontal load of the pile, and the calculation formula for calculating the pile head bending moment of the pile. Therefore, these physical quantities can be derived without increasing the cost and without requiring a complicated process.

  In the present embodiment, the case where the present invention is realized by a single personal computer having a built-in hard disk 28 in which an arithmetic expression for calculating the physical quantity of the present invention is stored in advance has been described. For example, a personal computer that does not incorporate the hard disk 28 is connected to a network via a communication line from an external device provided with a storage medium or storage device in which the above arithmetic expressions are stored in advance. Thus, the present invention can be realized by a personal computer and an external device. Also in this case, the same effects as in the present embodiment can be obtained.

  Further, in the present embodiment, the case where the parameter value used in the arithmetic expression is input via a keyboard or the like has been described, but the present invention is not limited to this, and for example, the parameter value is It is also possible to store the data in a storage medium or a storage device in advance and input the data by reading it. Also in this case, the same effects as in the present embodiment can be obtained.

  Moreover, in this Embodiment, (39) Formula is calculated as an arithmetic formula for calculating the horizontal load share ratio of this invention, (40) Formula is calculated as an arithmetic formula for calculating the horizontal load of a pile, and the pile pile The case where the formula (41) is applied as the calculation formula for calculating the head bending moment has been described, but the present invention is not limited to this, and for example, the calculation for calculating the horizontal load sharing ratio (42) as a formula, (43) as a formula for calculating the horizontal load of a pile, and (44) as a formula for calculating a pile head bending moment of a pile, respectively Furthermore, in addition to these arithmetic expressions, the ground displacement in the horizontal direction due to the bottom friction of the raft foundation is approximated with a predetermined approximate expression, and the approximate equation obtained by the approximation is When the material is a beam As long as it is obtained by incorporating a predetermined equation showing the deflection of the horizontal direction of the pile material, it may be applied in any one. In these cases, the same effects as in the present embodiment can be obtained.

  In the present embodiment, the case where the calculation result is presented by display using the display 18 has been described. However, the present invention is not limited to this, and is presented by, for example, printing using the printer 50. It can also be in the form. Also in this case, the same effects as in the present embodiment can be obtained.

  In addition, the configuration of the physical quantity deriving device 10 described in the present embodiment (see FIGS. 1 to 3) is merely an example, and it is needless to say that the configuration can be appropriately changed without departing from the gist of the present invention.

  Further, the flow of processing of the physical quantity derivation program shown in the present embodiment (see FIG. 4) is also an example, and it goes without saying that it can be changed as appropriate without departing from the gist of the present invention.

  Furthermore, the configuration of the parameter input screen and the presentation screen shown in the present embodiment (see FIGS. 5 and 6) is also an example, and it goes without saying that it can be changed as appropriate without departing from the gist of the present invention. .

It is a perspective view which shows the external appearance of the physical quantity derivation | leading-out apparatus which concerns on embodiment. It is a block diagram which shows the principal part structure of the electric system of the physical quantity derivation | leading-out apparatus which concerns on embodiment. It is a schematic diagram which shows the main memory content of the hard disk with which the physical quantity derivation | leading-out apparatus which concerns on embodiment was equipped. It is a flowchart which shows the flow of a process of the physical quantity derivation program which concerns on embodiment. It is the schematic which shows the example of a display state of the parameter input screen which concerns on embodiment. It is the schematic which shows the example of a display state of the presentation screen which concerns on embodiment. It is a figure for explanation of the principle of the present invention, and is a graph showing an example of a calculation result by the expressions (1), (2), and (3).

Explanation of symbols

10 Physical quantity deriving device 14 Keyboard (input means)
16 Mouse (input means)
18 Display (display means)
22 CPU (calculation means)
28 Hard disk (storage means)

Claims (12)

A physical quantity deriving device for deriving a physical quantity related to a force in the horizontal direction of a piled raft foundation,
The ground displacement in the horizontal direction due to the bottom friction of the raft foundation is approximated with a predetermined approximate expression, and the approximate equation obtained by the approximation is used to calculate the deflection of the pile material in the horizontal direction when the pile material is used as a beam material. Storage means in which an arithmetic expression for calculating the physical quantity obtained by incorporation into a predetermined equation is stored in advance;
Input means for inputting an instruction to calculate the physical quantity;
A calculation unit that reads the calculation formula from the storage unit and calculates the physical quantity when the calculation instruction is input by the input unit;
Display means for displaying the physical quantity computed by the computing means;
A physical quantity derivation device comprising: The ground displacement is calculated by the second equation represented by the following equation:

The predetermined equation is an equation represented by the following equation:

The physical quantity derivation device according to claim 1. The physical quantity deriving device according to claim 2, wherein the approximate expression is an exponential approximate expression or a polynomial approximate expression up to a third order. The calculation formula is at least one of a calculation formula for calculating a horizontal load sharing ratio of a piled raft foundation, a calculation formula for calculating a horizontal load of a pile, and a calculation formula for calculating a pile head bending moment. The physical quantity deriving device according to any one of claims 1 to 3. An arithmetic expression for calculating the horizontal load sharing ratio of the piled raft foundation is an arithmetic expression represented by the following expression:

An arithmetic expression for calculating the horizontal load of the pile is an arithmetic expression represented by the following expression,

The calculation formula for calculating the pile head bending moment of the pile is the calculation formula shown by the following formula:

The physical quantity derivation device according to claim 4. An arithmetic expression for calculating the horizontal load sharing ratio of the piled raft foundation is an arithmetic expression represented by the following expression:

An arithmetic expression for calculating the horizontal load of the pile is an arithmetic expression represented by the following expression,

The calculation formula for calculating the pile head bending moment of the pile is the calculation formula shown by the following formula:

The physical quantity derivation device according to claim 4. A physical quantity derivation method for deriving a physical quantity related to a force in a horizontal direction of a piled raft foundation,
The ground displacement in the horizontal direction due to the bottom friction of the raft foundation is approximated with a predetermined approximate expression, and the approximate equation obtained by the approximation is used to calculate the deflection of the pile material in the horizontal direction when the pile material is used as a beam material. An arithmetic expression for calculating the physical quantity, which is obtained by incorporating it into the predetermined equation shown, is stored in advance by the storage means,
When the physical quantity calculation instruction is input, the arithmetic expression is read from the storage unit to calculate the physical quantity,
Display the calculated physical quantity,
Physical quantity derivation method. The ground displacement is calculated by the second equation represented by the following equation:

The predetermined equation is an equation represented by the following equation:

The physical quantity derivation method according to claim 7. The physical quantity derivation method according to claim 8, wherein the approximate expression is an exponential approximate expression or a polynomial approximate expression up to a third order. A physical quantity derivation program for deriving a physical quantity related to the horizontal force of a piled raft foundation,
An input step of inputting an instruction to calculate the physical quantity;
When the calculation instruction is input in the input step, the ground displacement in the horizontal direction due to the bottom friction of the raft foundation, which is stored in advance by the storage unit, is approximated by a predetermined approximate expression, and obtained by the approximation. An arithmetic equation for calculating the physical quantity obtained by incorporating the approximate equation into a predetermined equation indicating the deflection in the horizontal direction of the pile material when the pile material is used as a beam material is read from the storage unit and the physical quantity is obtained. A calculation step for calculating
A display step for displaying the physical quantity calculated by the calculation step;
A physical quantity derivation program that causes a computer to execute. The ground displacement is calculated by the second equation represented by the following equation:

The predetermined equation is an equation represented by the following equation:

The physical quantity derivation program according to claim 10, wherein: The physical quantity deriving program according to claim 11, wherein the approximate expression is an exponential approximate expression or a polynomial approximate expression up to a third order.

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