A multi-layer stacked box unit housing system and its lateral resistance calculation method

Abstract

This invention discloses a multi-story stacked container house system and its lateral resistance calculation method. The system includes several stacked container houses, which are arranged front-to-back and side-to-side to form a whole on the same floor. Corresponding stacked container houses on different floors are also connected to form a stacked container system. After the stacked container houses on the top floor are connected as a whole, a continuous distribution beam is fixed around the top surface of the whole. Anchors and bogies are fixed in pairs on the top surfaces of the longitudinal and transverse beams of the distribution beams. Prestressed anchor cables are connected between the corresponding anchors and bogies. Each prestressed anchor cable passes around the bogie and extends downwards, finally connecting and fixing to a pull-out member on the ground. The prestressed anchor cables generate tension on the stacked container system, improving its lateral resistance and thus enhancing its overall stability. The lateral resistance of the stacked container system can be accurately predicted using different calculation models, providing a guarantee for the safety of the stacked container system after construction in different regions, enabling the stacked container system to be applied to the construction of multi-story and mid-to-high-rise buildings.

Description

Technical Field

[0001] This invention belongs to the field of modular prefabricated buildings, specifically a multi-layer stacked box unit system and its lateral resistance calculation method. Background Technology

[0002] Modular box-type buildings are a special type of prefabricated building, constructed by stacking individual boxes. Their unique feature allows for pre-decoration of the box interiors, significantly reducing construction time and making the process green, economical, and low-carbon. However, while the forces acting on the stacked boxes are clearly defined, the lack of effective reinforcement at the joints and the weak interlocking effect make them susceptible to overturning under seismic or wind loads. This compromises the overall safety of the building and makes them unsuitable for multi-story and mid- to high-rise buildings. Summary of the Invention

[0003] The purpose of this invention is to provide a multi-layer stacked unit housing system with high overall safety and a method for calculating its lateral resistance.

[0004] The multi-layer stacked container unit system provided by this invention includes several stacked container units. The stacked container units on the same floor are arranged front to back and side to side and connected to form a whole. The stacked container units on the upper and lower floors are connected to form a whole to form a stacked container system. After the stacked container units on the top floor are connected to form a whole, a continuous distribution beam is fixed around the top surface of the whole. Anchors and bogies are fixed in pairs on the top surfaces of the longitudinal and transverse beams of the distribution beams, respectively. Prestressed anchor cables are connected between the corresponding anchors and bogies. Each prestressed anchor cable passes around the bogie and goes downward, and finally connects and is fixed to the pull-out resistance member on the ground.

[0005] In one embodiment of the above system, the distribution beam is made of structural steel.

[0006] In one embodiment of the above system, the anchor and the distribution beam are in planar contact and are connected by welding.

[0007] In one embodiment of the above system, the middle section of the bogie is provided with a guide wire groove.

[0008] In one embodiment of the above system, the bogie includes two end sections and a middle section. The bottom surfaces of the two end sections are flat, the middle section is a round rod section, and the top surface of the round rod section is lower than the top surfaces of the two end sections. The bottom surfaces of the two end sections are welded to the distribution beam.

[0009] In one embodiment of the above system, the angle α between the pull-down section of the prestressed anchor cable and the stacked box system is 0° or 0 < α < 90°.

[0010] In one embodiment of the above system, the prestressed anchor cable is a steel strand or a steel sheet.

[0011] In one embodiment of the above system, the pull-out resisting member is a reinforced concrete pile or a steel column pile, or a steel anchor.

[0012] The method for calculating the lateral stiffness of the above-mentioned multi-layer stacked unit housing system provided by this invention includes the following steps:

[0013] 1. The angle between the pull-down section of the prestressed anchor cable and the stacked box system is 0° < α < 90°, and the anchor cable adopts the fully prestressed application method. The wind load and the pull-out force generated by the wind load on the system are all offset by the prestress of the anchor cable.

[0014] (1) Calculate the total shear force in the horizontal direction

[0015] Calculate the wind loads V1, V2, V3, ..., V on each layer of the system. n Under wind load, the total shear force at the bottom layer of the system is:

[0016]

[0017] In the above formula, V w V represents the total shear force acting on the bottom of the stacked box system. i , where i represents the shear force of each story under wind load;

[0018] (2) Calculate the uplift force of the system under wind load.

[0019] Under wind load, take the moment at the base of the furthest bottom column:

[0020]

[0021] T i =mT1, where i = 1, 2, 3, ..., m,

[0022]

[0023]

[0024] In the above formula, V i The shear force of each floor under wind load is represented by i, where i represents the floor number; H is the unit height and B is the unit width; T i F represents the pull-out force on all columns in the i-th span. wb The total pull-out force acting on the system;

[0025] (3) Calculate the magnitude of the prestress applied to the anchor cable.

[0026] The horizontal shear force and vertical uplift force generated by wind load on the system are borne by the horizontal component of the prestressed anchor cable, and the vertical uplift force is borne by the vertical component of the anchor cable; let the horizontal component of the prestressed anchor cable be F. xThe vertical component of the force is F. y ;

[0027] From the equilibrium of forces, we get:

[0028] F x =V w ,

[0029] F y =F wb ,

[0030] The total prestress force F applied by all anchor cables is:

[0031]

[0032] In the above formula, V w V represents the total shear force acting on the bottom of the stacked box system. i The shear force of each floor under wind load is represented by i, where i = 1, 2, 3, ..., m; H is the height of the unit, and B is the width of the unit; T i F represents the pull-out force on all columns in the i-th span. wb The total pull-out force acting on the system;

[0033] 2. The angle between the pull-down section of the prestressed anchor cable and the stacked box system is 0° < α < 90°, and the anchor cable adopts a partial prestressing method. The wind load on the stacked box system is partially offset by the prestress of the anchor cable.

[0034] (1) Calculate the lateral stiffness of the system

[0035] The system has the same story height and the same lateral stiffness in each story. Its lateral stiffness D is the sum of the lateral stiffness of each column in the system.

[0036] (2) Calculate the lateral stiffness of a single anchor cable

[0037] The system deforms under wind load, and the system and anchor cables undergo lateral displacement Δ under the action of horizontal force. w At the same time, the anchor cable elongates by ΔL along its length, resulting in a lateral displacement Δ w Since the angle between the anchor cable and the system is relatively small, it can be considered equal before and after deformation, and is denoted as .

[0038] By the Law of Cosines:

[0039]

[0040] In the above formula, △ w Let be the horizontal displacement of the anchor cable under wind load; L be the original length of the anchor cable; E be the elastic modulus of the anchor cable; A be the cross-sectional area of ​​the anchor cable; F be the horizontal displacement of the anchor cable under wind load ... E be the original length of the anchor cable; E be the elastic modulus of the anchor cable; A be the cross-sectional area of ​​the anchor cable; F be the horizontal displacement of the anchor cable under wind load; F be the horizontal displacement of p This refers to the tensile force generated by the lateral displacement of the anchor cable;

[0041] The magnitude of the horizontal force required for a single anchor cable to produce a unit horizontal lateral displacement is the lateral stiffness of that single anchor cable. The lateral stiffness E of a single anchor cable can be obtained from the formula for anchor cable lateral displacement. s for

[0042]

[0043] (3) Calculate the magnitude of the prestress applied to the anchor cable

[0044] The base shear force generated by the wind load is V w According to the stiffness distribution principle, the horizontal wind load borne by the anchor cable is:

[0045]

[0046] The total uplift force generated by the wind load on the system is F. wb When partial prestress is applied to the anchor cable, the pull-out force counteracted by the anchor cable is:

[0047] hour,

[0048] The total force F applied to the anchor cable is:

[0049]

[0050] V w V represents the total shear force acting on the bottom of the stacked box system. i The shear force of each floor under wind load is represented by i, which represents the number of floors, i = 1, 2, 3, ..., m; H is the height of the unit, B is the width of the unit, and D is the lateral stiffness of each floor.

[0051] 3. The angle between the pull-down section of the prestressed anchor cable and the stacked box system is 0°. The wind load is offset by the stacked box system, and the pull-out force generated by the wind load on the stacked box system is offset by the prestress of the anchor cable.

[0052] Under wind load, the stacked box system shifts, but the shift is minimal, and the system remains perpendicular to the ground. Under wind load, the pull-out force (same as in case one) is obtained by taking the moment at the base of the furthest bottom column:

[0053]

[0054] In the formula, Vi represents the shear force of each floor under wind load, i represents the number of floors; H represents the height of the unit and B represents the width of the unit; T represents the height of the unit and B represents the width of the unit. i F represents the pull-out force on all columns in the i-th span. wb The total pull-out force on the stacked box system;

[0055] Calculate the magnitude of the prestress F applied to the steel cable

[0056]

[0057] The stacked box girder system disclosed in this invention has a distribution beam installed at its upper end, with anchorages and bogies mounted on the distribution beam. Tensile force is then generated on the stacked box girder system through anchored prestressed anchor cables, thereby improving its lateral resistance and overall stability. Furthermore, the lateral resistance of the stacked box girder system can be accurately predicted using different calculation models, ensuring its safety after construction in different regions. This allows the stacked box girder system to be applied to the construction of multi-story and mid-to-high-rise buildings, promoting the development of modular box-type buildings. Attached Figure Description

[0058] Figure 1 This is a schematic diagram of the structural arrangement of the stacked box system in a preferred embodiment of the present invention.

[0059] Figure 2 This is an enlarged schematic diagram of the prestressed anchor structure and its fixation on the distribution beam in this preferred embodiment.

[0060] Figure 3 This is an enlarged schematic diagram of the bogie structure and its fixation on the distribution beam in this preferred embodiment.

[0061] Figure 4 This is a schematic diagram showing the positional relationship between the distribution beam, anchor cable, anchorage, and bogie in this preferred embodiment.

[0062] Figure 5 This is a schematic diagram of the wind load and resistance generated by the stacked box system in this preferred embodiment.

[0063] Figure 6 This is a simplified diagram for calculating the lateral stiffness of the steel cable in this preferred embodiment.

[0064] Figure 7 This is a simplified diagram of the pull-out resistance calculation for the steel cable in this preferred embodiment.

[0065] Figures 1 to 4 Middle serial number:

[0066] 1-Stacked box system;

[0067] 2-Pull-out piles;

[0068] 3-Prestressed anchor cable;

[0069] 4-Distribution beam;

[0070] 5-Bogie;

[0071] 6-Fixed anchorage. Detailed Implementation

[0072] like Figures 1 to 4As shown, the multi-layer stacked container unit system disclosed in this embodiment includes several stacked container units. The stacked container units on the same floor are arranged front to back, left to right and connected to form a whole. The stacked container units on the upper and lower floors are connected to form a whole to form a stacked container system 1.

[0073] After the stacked unit rooms on the top floor are connected into a whole, a continuous distribution beam 4 is fixed around the top surface of the whole. Anchors 6 and bogies 5 are fixed in pairs on the top surfaces of the longitudinal and transverse beams of the distribution beams, respectively. Prestressed anchor cables 3 are connected between the corresponding anchors and bogies. Each prestressed anchor cable 3 passes around the bogie 5 and goes downward, and finally connects and is fixed to the pull-out piles 2 on the ground.

[0074] In this embodiment, the distribution beam 4 is made of steel profiles.

[0075] The anchor 6 and the distribution beam 4 are in planar contact and are connected by welding.

[0076] The middle section of the bogie 5 is provided with a guide wire groove. In this embodiment, the bogie 5 includes two end sections and a middle section. The bottom surface of the two end sections is a plane, the middle section is a round rod section, and the top surface of the round rod section is lower than the top surface of the two end sections. The bottom surface of the two end sections is welded to the distribution beam 4.

[0077] The prestressed anchor cable 3 is a steel strand or steel sheet, and the angle α between its pull-down section and the stacked box system 1 is 0° or 0 < α < 90°.

[0078] In this embodiment, the tension pile is a reinforced concrete pile or a steel column pile. Other embodiments may also use steel anchors as tension members.

[0079] Tension-resistant piles are evenly distributed around the perimeter of the stacked box girder system.

[0080] The calculation methods for the lateral stiffness of the above stacked box system fall into the following three categories:

[0081] 1. The angle between the pull-down section of the prestressed anchor cable and the multi-story stacked box unit system is 0° < α < 90°, and the anchor cable adopts a fully prestressed application method. The wind load and the pull-out force generated by the wind load on the system are all offset by the prestress of the anchor cable.

[0082] 2. The angle between the pull-down section of the prestressed anchor cable and the multi-layer stacked box unit system is 0° < α < 90°, and the anchor cable adopts a partial prestressing method. The wind load on the stacked box system is partially offset by the prestress of the anchor cable.

[0083] 3. The angle between the pull-down section of the prestressed anchor cable and the multi-story stacked box unit system is 0°. The wind load is offset by the stacked box system, and the pull-out force generated by the wind load on the stacked box system is offset by the prestress of the anchor cable.

[0084] The calculation steps for the first scenario above are as follows:

[0085] I. For example Figure 5 As shown, the angle between the pull-down section of the prestressed anchor cable and the multi-layer stacked box unit system is 0° < α < 90°, and the anchor cable adopts a fully prestressed application method. The wind load and the pull-out force generated by the wind load on the system are all offset by the prestress of the anchor cable.

[0086] (1) Calculate the total shear force in the horizontal direction

[0087] Calculate the wind loads V1, V2, V3, ..., V on each layer of the system. n Under wind load, the total shear force at the bottom layer of the system is:

[0088]

[0089] In the above formula, V w V represents the total shear force acting on the bottom of the stacked box system. i , where i represents the shear force of each story under wind load;

[0090] (2) Calculate the uplift force of the system under wind load.

[0091] Under wind load, take the moment at the base of the furthest bottom column:

[0092]

[0093] T i =mT1, where i = 1, 2, 3, ..., m,

[0094]

[0095]

[0096] In the above formula, V i The shear force of each floor under wind load is represented by i, where i represents the floor number; H is the unit height and B is the unit width; T i F represents the pull-out force on all columns in the i-th span. wb The total pull-out force acting on the system;

[0097] (3) Calculate the magnitude of the prestress applied to the anchor cable.

[0098] The horizontal shear force and vertical uplift force generated by wind load on the system are borne by the horizontal component of the prestressed anchor cable, and the vertical uplift force is borne by the vertical component of the anchor cable; let the horizontal component of the prestressed anchor cable be F. x The vertical component of the force is F. y ;

[0099] From the equilibrium of forces, we get:

[0100] F x =V w ,

[0101] F y =F wb ,

[0102] The total prestress force F applied by all anchor cables is:

[0103]

[0104] In the above formula, V w V represents the total shear force acting on the bottom of the stacked box system. i The shear force of each floor under wind load is represented by i, where i = 1, 2, 3, ..., m; H is the height of the unit, and B is the width of the unit; T i F represents the pull-out force on all columns in the i-th span. wb The total pull-out force acting on the system;

[0105] The calculation steps for the second scenario above are as follows:

[0106] (1) Calculate the lateral stiffness of the system

[0107] The system has the same story height and the same lateral stiffness in each story. Its lateral stiffness D is the sum of the lateral stiffness of each column in the system.

[0108] (2) Calculate the lateral stiffness of a single anchor cable

[0109] like Figure 6 As shown, the system deforms under wind load, and the system and anchor cable undergo lateral displacement Δ under the action of horizontal force. w At the same time, the anchor cable elongates by ΔL along its length, resulting in a lateral displacement Δ w Since the angle between the anchor cable and the system is relatively small, it can be considered equal before and after deformation, and is denoted as .

[0110] By the Law of Cosines:

[0111]

[0112] In the above formula, △ w Let be the horizontal displacement of the anchor cable under wind load; L be the original length of the anchor cable; E be the elastic modulus of the anchor cable; A be the cross-sectional area of ​​the anchor cable; F be the horizontal displacement of the anchor cable under wind load ... E be the original length of the anchor cable; E be the elastic modulus of the anchor cable; A be the cross-sectional area of ​​the anchor cable; F be the horizontal displacement of the anchor cable under wind load; F be the horizontal displacement of p This refers to the tensile force generated by the lateral displacement of the anchor cable;

[0113] The magnitude of the horizontal force required for a single anchor cable to produce a unit horizontal lateral displacement is the lateral stiffness of that single anchor cable. The lateral stiffness E of a single anchor cable can be obtained from the formula for anchor cable lateral displacement. s for

[0114]

[0115] (3) Calculate the magnitude of the prestress applied to the anchor cable

[0116] The base shear force generated by the wind load is V w According to the stiffness distribution principle, the horizontal wind load borne by the anchor cable is:

[0117]

[0118] The total uplift force generated by the wind load on the system is F. wb When partial prestress is applied to the anchor cable, the pull-out force counteracted by the anchor cable is:

[0119] hour,

[0120] The total force F applied to the anchor cable is:

[0121]

[0122] V w V represents the total shear force acting on the bottom of the stacked box system. i The shear force of each floor under wind load is represented by i, which represents the number of floors, i = 1, 2, 3, ..., m; H is the height of the unit, B is the width of the unit, and D is the lateral stiffness of each floor.

[0123] The calculation steps for the third scenario above are as follows:

[0124] Under wind load, the stacked box system shifts, but the shift is minimal, and the system remains perpendicular to the ground. Under wind load, the base of the furthest bottom column (e.g.) Figure 7 As shown, taking the moment, the pull-out force is:

[0125]

[0126] In the formula, Vi represents the shear force of each floor under wind load, i represents the number of floors; H represents the height of the unit and B represents the width of the unit; T represents the height of the unit and B represents the width of the unit. i F represents the pull-out force on all columns in the i-th span. wb The total pull-out force on the stacked box system;

[0127] Calculate the magnitude of the prestress F applied to the steel cable

[0128]

[0129] This caisson system has a distribution beam installed at its upper end, on which anchorages and bogies are installed. Tension is then applied to the caisson system via anchored prestressed cables, thereby improving its lateral resistance and overall stability. Furthermore, different calculation models can accurately predict the lateral resistance of the caisson system, ensuring its safety after construction in different regions.

Claims

1. A method for calculating the lateral stiffness of a multi-layer stacked container unit system, wherein the unit system comprises several stacked container units, the stacked container units on the same floor are arranged front-to-back and side-to-side to form a whole, and corresponding stacked container units on upper and lower floors are connected to form a whole to form a stacked container system, characterized in that... After the stacked unit rooms on the top floor are connected into a whole, a continuous distribution beam is fixed around the top surface of the whole. Anchors and bogies are fixed in pairs on the top surfaces of the longitudinal and transverse beams of the distribution beams. Prestressed anchor cables are connected between the corresponding anchors and bogies. Each prestressed anchor cable goes down after passing around the bogie and is finally connected and fixed to the pull-out member on the ground. The calculation steps include the following:

1. The angle between the pull-down section of the prestressed anchor cable and the stacked box system is 0° < α < 90°, and the anchor cable adopts the fully prestressed application method. The wind load and the pull-out force generated by the wind load on the system are all offset by the prestress of the anchor cable. (1) Calculate the total shear force in the horizontal direction Calculate the wind loads V1, V2, V3, ..., V on each layer of the system. n Under wind load, the total shear force at the bottom layer of the system is: ， In the above formula, V w V represents the total shear force acting on the bottom of the stacked box system. i , where i represents the shear force of each story under wind load; (2) Calculate the uplift force of wind load on the system Under wind load, take the moment at the base of the furthest bottom column: ， T j =jT1, where j = 1, 2, 3, ..., m. ， ， In the above formula, V i The shear force of each floor under wind load is represented by i, where i represents the floor number; H is the unit height and B is the unit width; T j F represents the pull-out force on all columns in the j-th span, where j represents the span number; wb The total pull-out force acting on the system; (3) Calculate the magnitude of the prestress applied to the anchor cable. The horizontal shear force and vertical uplift force generated by wind load on the system are borne by the horizontal component of the prestressed anchor cable, and the vertical uplift force is borne by the vertical component of the anchor cable; let the horizontal component of the prestressed anchor cable be F. x The vertical component of the force is F. y ; From the equilibrium of forces, we get: ， ， The total prestress force F applied by all anchor cables is: ， In the above formula, V w V represents the total shear force acting on the bottom of the stacked box system. i The shear force of each floor under wind load is represented by i, where i = 1, 2, 3, ..., n; H is the height of the unit, and B is the width of the unit; T j F represents the pull-out force on all columns in the j-th span, where j represents the span number; wb The total pull-out force acting on the system; 2. The angle between the pull-down section of the prestressed anchor cable and the stacked box system is 0° < α < 90°, and the anchor cable adopts a partial prestressing method. The wind load on the stacked box system is partially offset by the prestress of the anchor cable. (1) Calculate the lateral stiffness of the system The system has the same story height and the same lateral stiffness in each story. Its lateral stiffness D is the sum of the lateral stiffness of each column in the system. (2) Calculate the lateral stiffness of a single anchor cable The deformation of the stacked box girder system under wind load, and the lateral displacement of the stacked box girder system and anchor cables under the action of horizontal force. At the same time, the anchor cable elongates along the cable length direction. Due to the resulting lateral displacement Since the angle between the anchor cable and the system is relatively small, it can be considered equal before and after deformation, and is denoted as . ; By the Law of Cosines: ， In the above formula, , Let be the horizontal displacement of the anchor cable under wind load; L be the original length of the anchor cable; E be the elastic modulus of the anchor cable; A be the cross-sectional area of ​​the anchor cable; F be the horizontal displacement of the anchor cable under wind load ... E be the original length of the anchor cable; E be the elastic modulus of the anchor cable; A be the cross-sectional area of ​​the anchor cable; F be the horizontal displacement of the anchor cable under wind load; F be the horizontal displacement of p This refers to the tensile force generated by the lateral displacement of the anchor cable; The magnitude of the horizontal force required for a single anchor cable to produce a unit horizontal lateral displacement is the lateral stiffness of that single anchor cable. The lateral stiffness E of a single anchor cable can be obtained from the formula for anchor cable lateral displacement. s for ； (3) Calculate the magnitude of the prestress applied to the anchor cable. The base shear force generated by the wind load is V w， According to the stiffness distribution principle, the horizontal wind load borne by the anchor cable is: , The total uplift force generated by the wind load on the stacked box system is F wb When partial prestress is applied to the anchor cable, the pull-out force counteracted by the anchor cable is: hour, The total force F applied to the anchor cable is: , V w V represents the total shear force acting on the bottom of the stacked box system. i The shear force of each floor under wind load is represented by i, where i = 1, 2, 3, ..., n; H is the height of the unit, B is the width of the unit, and D is the lateral stiffness of each floor.

3. The angle between the pull-down section of the prestressed anchor cable and the stacked box system is 0°. The horizontal wind load is offset by the stacked box system, and the pull-out force generated by the wind load on the stacked box system is offset by the prestress of the anchor cable. Under wind load, the stacked box system shifts, but the shift is minimal, and the system remains perpendicular to the ground. Under wind load, the pull-out force at the base of the furthest bottom column is calculated as follows: In the formula, Vi represents the shear force of each floor under wind load, i represents the number of floors; H represents the height of the unit and B represents the width of the unit; T represents the height of the unit and B represents the width of the unit. j F represents the pull-out force on all columns in the j-th span, where j represents the span number; wb The total pull-out force on the stacked box system; Calculate the magnitude of the prestress F applied to the steel cable 。 2. The method as described in claim 1, characterized in that: The distribution beam is made of structural steel.

3. The method as described in claim 2, characterized in that: The anchor and the distribution beam are in planar contact and are connected by welding.

4. The method as described in claim 1, characterized in that: The bogie includes two end sections and a middle section. The bottom surfaces of the two end sections are flat, and the middle section is a round rod section. The top surface of the round rod section is lower than the top surface of the two end sections. The bottom surfaces of the two end sections are welded to the distribution beam.

5. The method as described in claim 4, characterized in that: The middle section of the bogie is provided with a wire guide groove.

6. The method as described in claim 1, characterized in that: The angle α between the pull-down section of the prestressed anchor cable and the stacked box system is 0° or 0° < α < 90°.

7. The method as described in claim 1, characterized in that: The prestressed anchor cable is a steel strand or a steel sheet.

8. The method as described in claim 1, characterized in that: The pull-out resisting member is a reinforced concrete pile or a steel column pile, or a steel anchor.

Images