How to calculate the discharge force
calculation of punching force
in blanking process, punching force refers to the general term of
, unloading force, pushing force and pushing force. Punching force is the main basis for selecting
and also the necessary data for die design<
1.
calculation
is the pressure exerted on the sheet by the punch in the blanking process, which changes with the depth of the punch into the material. The blanking force F can be calculated as follows:
F = KLT τ
where f -- blanking force, N
k -- coefficient; Considering the wear of
cutting edge, fluctuation of clearance between punch and die (variation or uneven distribution of values), lubrication, variation of
and thickness tolerance and other factors,
is generally set as 1.3
L -- total length of blanking periphery, mm
T -- material thickness, mm< br /> τ—— Material
, MPa
when
cannot be found τ It can be used
σ B substitute τ, In this case, the approximate calculation method of k = 1 is adopted. That is,
F = Lt σ B
where σ B -- material
, MPa
2. Calculation of unloading force, pushing force and pushing force
after blanking, the force required to scrape the material from the punch is called unloading force; The force required to push the part or scrap from the die is called pushing force; The force required to eject the part from the die is called ejecting force. In the actual proction, it is generally calculated as follows:
unloading force F = k unloading f punching
pushing force F = NK pushing f punching
pushing force F = k jacking f punching
where f punching -- blanking force, N
k unloading - unloading force coefficient, whose value is shown in the table
k push -- push force coefficient, whose value is shown in the table
k top -- the force coefficient of the top part, whose value is shown in the table
n -- the quantity of parts or scrap accumulated in the die (n = H / T); H is the height of the straight edge; T is the material thickness.
F impulse = KLT τ , Where f -- blanking force, K -- coefficient; The safety factor is generally taken as 1.3 considering the wear of the cutting edge of the blanking die, the fluctuation of the clearance between the punch and the die (the variation or uneven distribution of the value), the lubrication condition, the variation of the mechanical properties of the material and the thickness tolerance, etc. L -- total length of blanking periphery, mm; T -- material thickness, mm; τ—— Material shear strength, MPa
{rrrrrrr}
extended data:
stamping advantages
1. High proction efficiency, convenient operation, easy to realize mechanization and automation. This is because stamping depends on the stamping die and stamping equipment to complete the processing. The stroke times of ordinary press can reach dozens of times per minute, and the high-speed pressure can reach hundreds or even thousands of times per minute, and each stamping stroke can get a stamping part As like as two peas, p>
2, stamping, stamping die ensures the size and shape accuracy of stamping parts, and generally does not destroy the surface quality of stamping parts, and the life of dies is generally longer. So stamping quality is stable, interchangeability is good, and has the same characteristics. p>
3. Stamping can process parts with large size range and complex shape, such as the second hand of clock and watch, the longitudinal beam and panel of automobile, and the cold deformation hardening effect of material ring stamping, the stamping strength and stiffness are higher
Stamping is a kind of material saving and energy-saving processing method, and the cost of stamping parts is lowV (m3 / h) = V1 (L / Rev) xn (RPM) x60x η%< br />
GT/h=Vm3/hx ρ T / m3) XK
V: discharge capacity (m3 / h) V1: rotor volume per revolution (L / Rev)
n: rotor speed per minute (RPM) η: The volume efficiency (%)
of rotor ρ: Bulk density (T / m3) K: the correction coefficient is generally 0.7 ~ 0.8
in blanking, the force that the workpiece or scrap is unloaded from the punch is called unloading force, the force that pushes the workpiece or scrap from the die along the blanking direction is called pushing force, and the force that pushes the workpiece or scrap against the blanking direction is called pushing force. It is usually calculated by empirical formula:
unloading force F unloading = k unloading f (n)
pushing force F pushing = NK pushing f (n)
pushing force F pushing = k pushing f (n)
where f is blanking force (n)
n -- workpiece (or scrap) stuck in the die at the same time
number n = H / T (H is the straight wall height of die orifice; T - material thickness)
k unloading, K pushing and K pushing are unloading force, pushing force and pushing force coefficient, and their values are shown in table 2-8.
1. Load parameter
type of scaffold board: wooden scaffold board, standard weight of scaffold board (KN / m2): 0.35
category of railings and baffles: railings stamping steel, standard weight of railings and baffles scaffold board (KN / m2): 0.11
equal live load of construction personnel (KN / m2): 2.00, maximum stacking material load (KN): 10.00
2. Cantilever parameters
the distance between the inner steel rope and the wall (m): 2.00, and the distance between the outer steel rope and the inner steel rope (m): 1.00
the distance between the upper rope point and the cantilever beam wall fulcrum (m): 5.00
the safety factor of steel wire rope is K: 10.00, and the contact between cantilever beam and wall is calculated as fixed support
diameter of embedded parts (mm): 20.00
3. Horizontal support beam
main beam channel steel model: 12.6 channel steel notch horizontal
secondary beam channel steel model: 10 channel steel notch level
the channel spacing of the secondary beam (m): 0.40, and the maximum allowable distance between the innermost secondary beam and the wall (m): 0.20
4. Parameters of unloading platform
cantilever length (m) of horizontal steel beam (main beam): 4.00, anchorage length (m) of horizontal steel beam (main beam): 3.00
platform calculation width (m): 3.00
checking calculation of secondary and secondary beams:
No.10 channel steel notch level is selected for the secondary beam with a spacing of 0.40m, and its cross-section characteristics are:
area a = 12.74cm2
inertial distance IX = 198.30cm4
moment of inertia Wx = 39.70cm3
radius of gyration IX = 3.95cm
section size: B = 48.0 mm, H = 100.0 mm, t = 8.5 mm
1. Load calculation
(1) standard value of dead weight of scaffold board: in this case, wooden scaffold board is used, and the standard value is 0.35kn/m2< br /> Q1 = 0.35 × 0.40= 0.14kN/m
(2) the maximum stacking load of materials and appliances is 10.00kn, which is converted into line load:
Q2 = 10.00 / 4.00 / 3.00 × 0.40= 0.33kN/m
(3) channel steel self weight load Q3 = 0.10kn/m
the design value of static load is q = 1.2 ×( Q1+Q2+Q3) = 1.2 ×( 0.14+0.33+0.10) = 0.69kN
the design value of live load is p = 1.4 × two × zero point four zero × 3.00= 3.36kN< The calculation diagram is as follows:
the calculation formula of maximum bending moment M is:
through calculation, the maximum bending moment M = 0.69 × 3.002/8+3.36 × 3.00/4=3.29kN.m
3. Checking calculation of bending strength
secondary beam stress:
where γ X -- plastic development coefficient of section, 1.05
[F] - design value of compressive strength of steel, [F] = 205.00 n / mm2
calculation value of maximum stress of secondary beam channel steel σ = three point two nine × 103/(1.05 × 39.70)=78.96 N/mm2
calculation value of maximum stress of secondary beam channel steel σ = 78.956 n / mm2 is less than the design value of compressive strength of secondary beam channel steel [F] = 205.000 n / mm2, meeting the requirements
4. Overall stability checking
Where, φ B -- the overall stability coefficient of the bending member under uniform bending, which is calculated according to the following formula:
after calculation φ b=570 × eight point five zero × forty-eight × 235/(3.00 × one hundred × 235.0)=0.78
e to φ If B is greater than 0.6, it can be adjusted according to the following formula:
φ b=0.706
stability checking calculation of secondary beam channel steel σ = three point two nine × 103/(0.706 × 39.700)=117.39 N/mm2
stability checking calculation of secondary beam channel steel σ = 117.391 n / mm2 is less than the design value of compressive strength of secondary beam channel steel [F] = 205.000 n / mm2, meeting the requirements
III. checking calculation of main beam:
according to the actual situation and general practice on site, the inner steel rope of unloading platform is used as safety reserve and does not participate in the calculation of internal force
12.6 channel steel notch level is selected for the main beam, and its cross-section characteristics are as follows:
area a = 15.69cm2
inertial distance IX = 391.47cm4
moment of inertia Wx = 62.14cm3
radius of gyration IX = 4.95cm
section size, B = 53.00 mm, H = 126.00 mm, t = 9.0 mm< (1) standard value of self weight of railings and foot guard: in this case, railings are made of stamping steel, and the standard value is 0.11kn/m< br /> Q1 = 0.11kN/m
(2) dead load of channel Q2 = 0.12kn/m
design value of dead load q = 1.2 ×( Q1+Q2) = 1.2 ×( 0.11+0.12) = 0.28kN/m
the concentrated load transferred by the secondary beam is taken as the secondary beam support force P = (0.69) × 3.00+3.36)/2=2.71kN
2. Internal force checking
schematic diagram of cantilevered unloading platform
calculation diagram of horizontal steel beam of cantilevered unloading platform
shear diagram of supporting beam of cantilevered horizontal steel beam (KN)
bending moment diagram of supporting beam of cantilevered horizontal steel beam (kn. M)
deformation diagram of supporting beam of cantilevered horizontal steel beam (mm)
the main beam of unloading platform is calculated according to concentrated load P and uniform load Q By using the matrix displacement method, the following results are obtained:
R [1] = 18.817 kn< br /> R[2] = 12.086 kN
the maximum bearing reaction is Rmax = 18.817 kn. M
the maximum bending moment mmax = 5.355 kn. M
the maximum deflection v = 2.182 mm
3. Checking calculation of bending strength
where x is the plastic development coefficient of section, taking 1.05
[F] - design value of steel compressive strength, [F] = 205.00 n / mm2
calculation value of maximum stress of main girder channel steel σ = five point three six × 106/1.05/62137.0+1.13 × 104/1569.000=89.273 N/mm2
the calculated maximum stress of the main beam channel steel is 89.273 n / mm2, which is less than the design value of the compressive strength of the main beam channel steel [F] = 205.00 n / mm2, meeting the requirements
4. Overall stability checking
where φ B -- the overall stability coefficient of bending member under uniform bending, calculated according to the following formula:
φ b=570 × nine × fifty-three × 235/(4000.0 × one hundred and twenty-six × 235.0)=0.539
available φ b=0.539
stability checking calculation of main girder channel steel σ = five point three six × 106/(0.539 × 62137.00)=159.75 N/mm2
stability checking calculation of main girder channel steel σ = 159.75 n / mm2 less than [F] = 205.00, meet the requirements< 4. Checking calculation of internal force of wire rope:
the vertical supporting reaction RCI of horizontal steel beam and the axial force Rui of wire rope are calculated as follows,
RCI = ruisin θ I
where RCI is the vertical support reaction of horizontal steel beam (KN)
Rui -- axial force of pulling steel rope (KN)< br /> θ I -- the angle between the axial force of the pulling rope and the vertical support reaction of the horizontal steel beam< br /> sin θ i = Sin ( 90 - ArcTan ( ( Lio + li ) / Lw ) ) = 0.857
according to the above formula, the tension of the outer rope is: Rui = RCI / sin θ i< br />RU1 = 18.817 / 0.857 = 21.94 kN< 5. Strength checking calculation of steel wire rope:
the maximum axial force Ru of steel wire rope (diagonal rod) is 21.94kn
if steel wire rope is used above, the calculation formula of allowable tension of steel wire rope is as follows:
where [FG] - allowable tension of steel wire rope (KN)
FG -- total breaking force of wire rope (KN)
in the calculation, FG = 0.5d2, D is the diameter of wire rope (mm)< br /> α -- The load nonuniformity coefficient between wire ropes is 6 × 19、6 × 37、6 × 85, 0. 82 and 0. 8 respectively
k -- safety factor of wire rope
in the calculation, [FG] is 21.944kn, α= 820, k = 10.000, d = 23.1 mm
the minimum diameter of wire rope must be greater than 24.000mm to meet the requirements< 6. Strength checking calculation of steel wire rope pull ring:
take the maximum value of axial force Ru of steel wire rope (diagonal rod) for calculation as the pull force n of pull ring:
n = Ru = 21943.632n
the strength calculation formula of the pull ring is:
where [F] is the tensile strength of the pull ring reinforcement. According to the "code for design of concrete structures" 10.9.8, under the action of the standard value of the dead weight of the object,
each pull ring is calculated by 2 sections. The stress of the ring should not be greater than 50N / mm2, so the design value of the tensile strength of the ring reinforcement [F] = 50.0n/mm2
the required minimum diameter of the pull ring d = [21943.6 × 4/(3.142 × fifty × 2)]1/2=23.6mm< 7. Safety requirements for operation platform:
1. The upper pull-out joint of the unloading platform must be set on the building, not on the scaffold and other construction equipment
2. When the unloading platform is installed, the steel wire rope should be hung firmly with a special hook, the steel wire rope around the sharp corner of the building should be padded, and the outer opening of the platform should be slightly higher than the inner opening
3. The left and right sides of the unloading platform must be equipped with fixed protective barriers
4. When lifting the unloading platform, the supporting points of the cross beam need to be fixed by electric welding, and the steel wire rope should be connected well. After inspection, the lifting hook can be released
5. When the unloading platform is in use, a special person should be responsible for the inspection. If the steel wire rope is corroded or damaged, it should be replaced in time, and the weld seam should be repaired in time
6. The allowable load shall be clearly marked on the operation platform. The total weight of personnel and materials shall not exceed the design allowable load, and special person shall be assigned to supervise.
