Shandong chuangyao provides a complete set of calculation formulas for construction industry

 

1、 Site leveling: the thickness of building site is within ± 30cm, excavation, filling, transportation and leveling.

1. Calculation rules of site leveling

(1) List rules: calculated by the first floor area of the building according to the size shown in the design drawing.

(2) Quota rule: according to the size shown in the design drawing, it is calculated by adding 2 meters to each side of the outer wall line of the building, and the area is calculated as square meter.

2. Calculation formula of site leveling

S = (a + 4) × (B + 4) = s bottom + 2L outer + 16

Where: s is the quantity of site leveling;

A-length of the exterior wall of the building;

B -- the length of the outer wall line along the width direction of the building;

S-floor - the floor area of the building;

L outer - perimeter of the outer edge line of the external wall of the building.

The formula is applicable to the calculation of site leveling quantities of any building or structure composed of rectangles.

2、 Calculation of foundation earthwork excavation

1. Calculation rules of excavation earthwork

(1) List rules: the foundation earthwork is calculated by multiplying the bottom area of foundation cushion by the excavation depth according to the size shown in the design drawing.

(2) Quota rule: the volume of manual or mechanical excavation shall be calculated by multiplying the trench bottom area by the excavation depth. The area of groove bottom shall be multiplied by the length of groove bottom by the width of groove bottom. The length and width of groove bottom refer to the external processing surface of foundation bottom width. When grading is required, the earthwork volume of grading shall be incorporated into the total earthwork volume.

2. Calculation formula of excavation earthwork:

(1) The volume of earthwork excavation is calculated by the bill of quantities

Earthwork volume = bottom area of earthwork excavation × excavation depth.

(2) Quota rules:

Foundation trench excavation: v = (a + 2C + K × h) H × L.

Where:

V -- earthwork volume of foundation trench;

A -- width of groove bottom;

C -- working face width;

H -- depth of foundation trench;

L -- length of foundation trench.

The length of foundation trench of external wall is calculated by the center line of external wall, and the length of foundation trench of inner wall is calculated by net length of inner wall. The overlap of intersection is not deducted.

Foundation pit excavation:

V=1/6H[A×B+a×b+(A+a)×(B+b)+a×b]。

Where:

V -- volume of foundation pit;

A -- length of upper opening of foundation pit;

B -- width of upper opening of foundation pit;

A - length of foundation pit bottom surface;

B - width of foundation pit bottom.

3、 Calculation rules and formulas of backfill engineering quantity

1. Backfill volume of foundation trench and foundation pit = excavation volume of foundation trench (PIT) - volume of embedded part of buildings (structures) below the designed outdoor floor.

In the formula, the volume of the embedded part of the building (structure) below the outdoor floor generally includes the volume occupied by cushion, wall foundation, column foundation, underground buildings and structures

2. Indoor backfill volume = net area between main walls × backfill thickness - volume of various channels

Net area between main walls = s bottom - (L medium × wall thickness + L interior × wall thickness)

Where:

Floor area of the ground floor;

L - length of center line of external wall;

L interior - the net length of the interior wall.

The thickness of backfill soil refers to the total thickness of ground cushion, leveling layer and surface course minus the elevation difference between indoor and outdoor;

4、 Earthwork calculation rules and formulas:

Soil transportation refers to transporting the surplus soil after excavation to the designated place, or taking soil from the designated place for backfilling when the backfill is insufficient. Earthwork transportation shall be calculated in cubic meters according to different transportation modes and distances.

Earthwork volume = total volume of excavation - total volume of backfill

When the calculation result is positive, it means the surplus soil is transported out, and when it is negative, it is taken and backfilled.

 

5、 Driving and pressing precast reinforced concrete square piles

1. The volume of precast reinforced concrete pile shall be calculated according to the design pile length, and the length shall be calculated according to the full length of pile tip, and the virtual volume of pile tip shall not be deducted. Unit of measurement: m3, volume calculation formula is as follows:

V = cross sectional area of pile × design pile length (including pile tip length)

2. Sending reinforced concrete square pile (pile sending): when the design requires that the reinforced concrete pile top is driven below the ground, the pile driver must use the tool pile to complete the pile driving. This process of pile driving with the help of tool pile (generally 2-3m long, made of hardwood or metal) is called "pile sending". According to the quota, the calculation method is based on the length of the pile from the top surface of the pile to the natural floor plus 0.5 m multiplied by the cross-sectional area. The unit of measurement is m3. The formula is as follows:

V = cross sectional area of pile × (pile delivery length + 0.5m)

Length of pile delivery: the elevation of the designed pile top to the natural floor.

3. Pile extension: pile extension refers to that the first pile shall be driven first, and then the second pile shall be vertically lifted and connected with the first pile before pile driving is continued according to the design requirements

Sulfur cement by pile - unit of measurement: m2; by pile sectional area

Welded pile - unit of measurement: T; according to the weight of angle steel or steel plate.

6、 Driving and pressing prestressed reinforced concrete pipe pile

It is calculated by volume according to the design pile length, and the length is calculated according to the full length including the pile tip. The virtual volume of the pile tip is not deducted, and the hollow volume of the pipe pile shall be deducted. When the hollow part of the pipe pile is required to be filled with concrete or other filling materials, it shall be calculated separately. Unit of measurement: m3, volume calculation formula is as follows:

V = cross sectional area of pile × design pile length (including pile tip length)

Calculation of the quantity of grouting core in pile, unit of measurement: M3

V = section area of inner diameter of pipe pile hole × design grouting depth

7、 Cast in place pile

(1) Single driving and re driving of bored pipe sinking cast-in-place pile: unit of measurement: M3

V = cross section area of pipe outer diameter × (design pile length + grouting length)

Design pile length - according to the design drawing length, if the valve tip is used, the prefabricated pile tip is included, and the precast reinforced concrete pile tip is not included

The additional grouting length is used to meet the filling amount of concrete pouring, according to the design regulations; if there is no regulation, it is calculated as 0.25m.

(2) Rammed expanded pile: unit of measurement: M3

V1 (primary and secondary tamping expansion) = cross section area of standard pipe inner diameter × designed ramming expansion feeding length (excluding prefabricated pile tip)

V2 (final concrete pouring in the pipe) = cross section area of standard pipe outer diameter × (design pile length + 0.25)

Design ramming and expanding feeding length - calculated according to design regulations.

(3) Bored concrete pile

Quantity of pore forming, unit of measurement: M3

Drilling soil hole v = pile diameter cross section area × depth from natural ground to rock surface;

Rock drilling hole v = pile diameter sectional area × rock penetration depth

Quantity of concrete pouring, unit of measurement: M3

V = sectional area of pile diameter × effective length of pile

The design of effective pile length shall be in accordance with the provisions, while the design of effective pile length shall be in accordance with the following formula if not specified:

Effective pile length = Design pile length (including pile tip length) + pile diameter

Design pile length from pile top elevation to pile bottom elevation

The length of foundation over grouting shall be calculated separately according to the design requirements.

Quantity of mud transportation: unit of measurement: m3, and the quantity is calculated according to the amount of pore forming.

8、 Manual hole digging pile

(1) Quantity of manual hole excavation: unit of measurement: M3

V (manual excavation) = peripheral cross-sectional area of retaining wall × length of hole forming hole length from natural floor to designed pile bottom elevation

V (silt, quicksand, rock) = actual excavation (excavation) volume

(2) Quantity of brick, concrete retaining wall and cast-in-place pile core concrete: unit of measurement: m3, the actual volume according to the size shown in the design drawing

9、 Cement mixing pile and powder spraying pile, calculated in cubic meter

V = (design pile length + 500mm) × section area of design pile (length shall be based on design length if there is design requirement).

The quantity of biaxial work shall not be calculated repeatedly, and the lap joint between pile groups shall not be deducted.

10、 Long spiral or rotary excavation bored pile, calculated in cubic meters

V = (design pile length + 500mm) × design pile section area or spiral outer diameter area (length according to design length if there is design requirement).

11、 The hole forming and grouting in the hole of the anchor shotcreting wall of the foundation pit.

Calculated by lengthening meter according to design drawing

12、 Shotcrete for retaining wall

Calculated in square meters according to the design drawings.

13、 Calculation rules of brick foundation

1. Division of foundation and wall body (column body)

(1) The basement wall is the same as the basement wall.

(2) When different materials are used for the foundation and wall body, when they are within + 300mm of the designed indoor floor, different materials shall be taken as the dividing line; when it is more than + 300mm, the design indoor ground shall be taken as the dividing line.

(3) The brick and stone wall shall be based on the outdoor floor design, and the upper part shall be the wall body.

2. Calculation method of brick foundation (pricing table rules)

(1) Regardless of wall thickness and height, the brick foundation is calculated in M 3 according to the size shown in the drawing. Among them, the foundation length: the external wall foundation is calculated according to the center line of the external wall; the internal wall foundation is calculated according to the net length line of the last step of the inner wall foundation.

(2) The part not to be deducted: the overlapped part at the T-shaped joint of the large foot of the foundation, the volume of the reinforcement, iron parts, pipes, foundation moisture-proof layer embedded in the foundation, and the hole with a single area less than 0.3 m2, but the overhanging eaves of the heating ditch against the wall will not be increased. The volume of the foundation with wall buttress shall be included in the foundation quantity.

(3) Part to be deducted: volume of reinforced concrete column beam slab and ground ring beam embedded in Foundation

(4) Calculation of the quantities of the large foot setting of the brick foundation: the commonly used brick foundation is generally in the form of fixed steps, and each step is stacked out layer by layer with a fixed size

 

14、 Calculation rules for quantities of brick masonry wall

1. Calculation method and formula: different wall thicknesses and types of masonry mortar shall be distinguished and calculated in m3. Wall volume = (wall length × wall height - area of door and window opening) × wall thickness - volume of reinforced concrete column, ring beam and lintel embedded in the wall + volume of brick stack and parapet

2. The part to be deducted: the volume of door and window openings, pedestrian holes, empty circles, reinforced concrete columns (such as GZ), beams (GL, QL, etc.) embedded in the wall body, reinforced brick lintels, niches of heating package, etc.

The part not deducted: beam head, inner and outer wall panel head, purlin wood, cushion wood, wood ridge head, rafter, wood brick, door and window head, reinforcement steel bar, wood bar, iron parts, steel pipe in brick wall, and the volume occupied by each hole less than 0.3 m2.

No additional parts: the volume of ledge, roof line, gable flashing, chimney root, door and window cover, waist line and overhanging eaves within three skin bricks;

3. Determination of wall length: the external wall length is calculated according to the center line of the outer wall, and the inner wall length is calculated according to the net length line of the inner wall.

4. Determination of wall height

(1) Height of external wall

① For sloping roof without cornice ceiling, it shall be calculated to the bottom of roof slab at the center line of wall; if there is no roof panel, it shall be calculated to the top surface of rafters.

② If there is a roof truss and there is a ceiling both indoor and outdoor, it is calculated to add another 200 mm to the bottom chord of the roof truss; if there is no ceiling, it is calculated to add 300 mm to the bottom of the bottom chord of the roof truss.

③ If there are cast-in-place reinforced concrete slab floor, it shall be calculated to the bottom surface of the slab.

(2) Height of interior wall

① If it is located at the bottom chord of the roof truss, its height shall be calculated to the bottom of the roof truss.

② If there is no roof truss, add 120mm to the ceiling bottom.

③ If there is a reinforced concrete floor partition, it shall be calculated to the bottom of the slab. When there is frame beam, that is, the infilled wall of frame structure, it should be calculated to the bottom of frame beam.

(3) The wall height of inner and outer gable is calculated according to its average height. The height of the parapet is calculated from the upper surface of the external wall beam plate to the top surface of the parapet wall (to the lower surface of the coping if there is concrete coping)

15、 Calculation rules of quantities for infilled wall of frame structure

Masonry between frames is calculated by multiplying the clearance area between frame beams and columns by the thickness. The brick part on the outside of the frame shall be included in the masonry work quantity between frames

16、 Calculation rules for quantities of hollow flower wall and hollow bucket wall

The hollow wall is calculated in M 3 according to the overall dimension, and the empty part is not deducted. There is a solid wall outside the hollow wall, and the solid part of the wall is calculated separately in m3. The empty bucket wall is calculated in M 3 according to the overall dimension. The empty part is not deducted

17、 Calculation rules for quantities of brick wall

The brick wall is calculated by multiplying the length shown in the design drawing by the height in cubic meters; the height of the wall is from the outdoor floor to the top of the brick. The top surface of brick shall be calculated to the top surface of coping if there is brick top pressing; it shall be calculated to the top surface of enclosure wall if there is no topping; it shall be calculated to the bottom surface of coping if it is concrete coping.

18、 Calculation rules for quantities of porous brick wall and hollow brick wall

According to the thickness shown in the figure, the volume of hole and hollow part is not deducted.

19、 Calculation rules of block masonry quantities

Aerated concrete wall, silicate block wall, small hollow block wall, etc. shall be calculated in m3 according to the size shown in the drawing, and the volume of hollow part of block itself shall not be deducted. According to the design requirements, the part that needs to be inlaid with brick masonry has been included in the quota and will not be calculated separately.

20、 Calculation rules for quantities of refuse chute, flue, ventilation duct and chimney attached to wall

According to the shape volume calculation, it is incorporated into the volume of the wall attached. The volume of each hole with cross section less than 0.1 M2 is not deducted, but the quantity of plastering in the hole is not increased

21、 Calculation rules for quantities of brick columns

According to the actual masonry volume, the column foundation is calculated by M ~ 3, and the corresponding foundation items are applied to the column foundation.

22、 Calculation rules of other masonry quantities

(1) Brick steps (excluding ladder belt) are calculated in square meters according to the horizontal projection area.

(2) Brick door squatting, chimney on the house, ridge wall, sink, pool foot, dustbin, low wall on the step surface, flower terrace, coal bin, dustbin, pool with volume within 3 m3, including steps, balcony balustrade, etc., small masonry project shall be applied according to the solid masonry volume.

(3) Trench: the brick trench is not divided into wall body and wall foundation, and its volume shall be calculated in cubic meters.

23、 Calculation steps of reinforcement quantity

(1) The strength grade and anti-seismic grade of concrete members are determined;

(2) Determine the thickness of the steel cover;

(3) The anchorage length La, seismic anchorage length Lae, lap length ll and seismic lap length LLE of reinforcement are calculated;

(4) Calculate the cutting length and weight of reinforcement;

(5) The steel bar weight of cast-in-place components is summarized according to different diameters and steel grades;

(6) Calculate or check the standard atlas to determine the weight of the prefabricated component reinforcement;

(7) The weight of prefabricated component reinforcement is summarized according to different diameter and steel type.

 

24、 Basic calculation rules and formulas of reinforcement quantity

(1) Calculation rules:

The quantity of reinforcement works should be divided into different types of steel bars, steel grades and diameters, and their weights should be calculated in tons (T).

(2) Calculation formula:

Quantity of reinforcement = cutting length of reinforcement (m) × weight of corresponding reinforcement per meter (kg / M)

Where:

The cutting length of reinforcement (m) = the dimension shown in the component diagram - thickness of concrete cover + increased length of steel bar hook + increased length of bent part of bent steel bar - measurement difference (adjustment value of steel bar bending) + lap length already indicated in the drawing

(3) When calculating the quantity of reinforcement, if the overlapping length of reinforcement is specified in the design, it shall be calculated according to the specified lap length; the natural joint loss and blanking loss have been included in the loss rate of reinforcement and shall not be calculated separately. The joints of steel bars such as electroslag pressure welding and sleeve extrusion are calculated in "pieces".

25、 Calculation rules and formulas for reinforcement of beams

1. Calculation formula of single span beam reinforcement:

The net length of straight reinforcement is l-2c; the net length of bent reinforcement is l-2c + 2 × 0.414 (0.268 or 0.577) × bending height; the net length of straight hook at both ends of bent reinforcement is l-2c + 2 × 0.414 (0.268 or 0.577) × bending height + 2 × (beam height protective layer thickness × 2);

2. Calculation formula of multi span beam reinforcement

(1) Calculation of first span reinforcement:

Length of upper through reinforcement = clear span length of through span + anchoring value of end bearing

The length of the negative reinforcement of the end support = the design structural length + the anchorage value of the end bearing; the length of the lower reinforcement = the clear span length + the anchorage value of the left and right supports

(2) Calculation of middle span reinforcement:

The length of negative reinforcement of intermediate support = the design structural length of both sides of span + the value of intermediate support;

(3) Stirrup:

Stirrup length = (beam width - 2 × cover + 2 D) × 2 + (beam height - 2 × cover + 2 D) × 2 + 14 d or 24 D

Number of stirrups = (net length of beam - 100 mm) / design spacing + 1

The encryption area is calculated separately.

(4) The length of waist reinforcement, tie bar and suspension bar shall be calculated according to the structural requirements.

 

26、 Calculation method and formula of cast-in-place slab reinforcement

The cast-in-place slab reinforcement mainly includes: load-bearing reinforcement (one-way or two-way, single-layer or double-layer), bearing negative reinforcement, distribution reinforcement, additional reinforcement (additional radial reinforcement at the corner, additional reinforcement at the opening), and supporting reinforcement (supporting the upper and lower layers when double-layer reinforcement is used).

(1) The length of load-bearing reinforcement = axis size + left anchor + right anchor + hook at both ends (if it is grade I reinforcement); number = (net length of slab - 100 mm) / reinforcement spacing + 1

(2) Length of negative reinforcement = length of negative reinforcement + left bending + right bending; number of negative reinforcement = (reinforcement range - deduction value) / reinforcement spacing + 1

(3) Length of distributed reinforcement = length of negative reinforcement layout scope - negative reinforcement deduction: number of negative reinforcement distribution reinforcement = length of negative reinforcement / spacing of distributed reinforcement + 1

(4) Additional reinforcement (additional radial reinforcement at corner, additional reinforcement at opening), supporting reinforcement (supporting upper and lower layers in case of double-layer reinforcement)

According to the actual situation, the length and number of reinforcement are calculated directly.

27、 Calculation method and formula of reinforcement in cast-in-place reinforced concrete column

(1) Foundation layer:

Column main reinforcement foundation joint bar = foundation slab thickness - protective layer + length of reinforcement extending into upper layer + required length of design structure

(2) Middle layer:

Column longitudinal reinforcement = floor height - the height of the current floor extending out of the ground + the height of the upper floor extending out of the floor

(3) Top layer: KZ of the top layer is divided into corner column, side column and middle column because of its different position. Therefore, the length of top layer anchorage of various column longitudinal reinforcement should be calculated according to the design requirements of the specification.

The length of longitudinal reinforcement at the top layer = net height of floor Hn + anchorage value of reinforcement at top layer.

(4) Column stirrup: the number of stirrups in KZ intermediate layer = n densified area / spacing of densified zone + N + spacing of non densified zone / non densified zone - 1

28、 Calculation rules and formula of concrete cushion quantity:

1. Calculation formula for concrete cushion of strip foundation

Volume of concrete cushion for strip foundation of external wall = central line length of concrete cushion for strip foundation of external wall × sectional area of concrete cushion

Volume of concrete cushion for strip foundation of inner wall = net length of concrete cushion for strip foundation of inner wall × sectional area of concrete cushion

2. Volume of whole slab foundation and independent foundation cushion

Cushion volume = cushion area × cushion thickness

29、 Calculation rules and formulas of concrete foundation quantities

1. Calculation and formula of strip foundation quantity

The work quantity of strip foundation of external wall = length of center line of strip foundation of external wall × sectional area of strip foundation

The engineering beam of strip foundation of internal wall = the length of net length line of strip foundation of internal wall × sectional area of strip foundation

Note: the net length of concrete strip foundation should be calculated according to the vertical plane and inclined plane

2. Calculation and formula of full hall foundation work quantity

Full foundation work quantity = full foundation bottom area × vertical part thickness of full foundation slab + upper prism volume

3. Independent foundation (the boundary between concrete independent foundation and column on the foundation surface)

(1) Rectangular foundation: v = length × width × height

(2) Stepped Foundation: v = ∑ each step (length × width × height)

(3) Truncated square cone Foundation: v = V1 + V2 = 1 / 6 H1 × [a × B + (a + a) (B + b) + a × b] + a × B × H2

Among them, V1 is the volume of the upper part of the foundation, V2 is the volume of the cuboid under the foundation, H1 is the height of the prism, a and B are the length and width of the bottom edge of the pyramid, AB is the length and width of the top edge of the pyramid, and H2 is the height of the cuboid under the foundation

30、 Calculation rules and formulas of concrete column quantities

(1) Quantity calculation of constructional column

① Volume of structural column = volume of constructional column + volume of Maya difference = h × (a × B + 0.03 × B × n)

Where: h -- height of constructional column a, B -- length and width of structural column section; B -- undercut difference between constructional column and brick wall by 1 / 2 width; n -- number of teeth difference sides

(2) Frame column

① The cast-in-place concrete column shall be calculated by volume according to the size shown in the design drawing. The volume of reinforcement and embedded iron parts in the component is not deducted.

Volume of frame column = sectional area of frame column * height of frame column

The column height is as follows:

The height between the upper and lower floors of the slab or the upper and lower column surface shall be calculated.

B. the column height of the beamless slab shall be calculated from the height between the upper surface of the column base (or the upper surface of the floor) and the lower surface of the column cap.

C. the column height of the frame column shall be calculated from the upper surface of the column base to the top of the column.

D. precast concrete column shall be calculated by volume according to the size shown in the design drawing, without deducting the volume occupied by the reinforcement and embedded iron parts in the component. The corbel attached to the column shall be included in the volume calculation of corresponding column body.

31、 Quantity rules for reinforced concrete beams

1. The general calculation formula of beam = cross section area of beam * the length of beam is calculated by volume according to the dimension shown in the design drawing. The beam head and beam pad extending into the wall shall be incorporated into the beam volume without deducting the volume of reinforcement and embedded iron parts in the component.

2. Selection of beam length

When the beam is connected with the column, the length of the beam is calculated to the side of the column; when the main beam is connected with the secondary beam, the length of the secondary beam is calculated to the side of the main beam.

3. Quantities of ring beam

The work quantity of the ground ring beam of the outer wall = the length of the center line of the ground ring beam of the outer wall × the sectional area of the ground ring beam

The engineering beam of the inner wall ground ring beam = the length of the net length line of the inner wall ground ring beam × the cross-sectional area of the ground ring beam

4. Volume of foundation beam

Calculation method: volume of foundation beam = net length of beam × clear height of beam

32、 Quantity calculation of reinforced concrete slab

1. Calculation method of general cast-in-place slab: the cast-in-place concrete slab is calculated by volume according to the size shown in the design drawing. The volume of reinforcement, embedded iron parts and holes with a single area less than 0.3 M2 are not deducted.

Calculation formula v = plate length × plate width × plate thickness

2. Beam plate refers to the main beam (secondary beam) and cast-in-place slab into one. The work quantity is calculated according to the volume of beam and slab, and the beam slab (including main beam, secondary beam and slab) is calculated by the sum of beam and slab volume.

3. Beamless slab refers to the slab directly supported by column cap without beam. The volume is calculated by the sum of the volume of plate and column cap

4. The flat plate is directly supported by the wall without column and beam


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