Bolt torque calculator based on geometry and thread diameter (vdi 2230)

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Enter Fastener Data

Data loaded Monitor

Thread Diameter
Fastener torque calculation formula 1 fastener standard
Set Geometry with Standard
Custom
Strength Class Strength class explanation
Head Size
Coefficient
($\mu_{min}$)
Type
Select Friction conditions
Unknown
Fastener Material / Surface Material
Lubrication Condition
Proof load percentage %

Recommended values: 75 proof load precentage for nonpermanent connections and reused fasteners. 90 % proof load for permanent connections.

   Newton · Meter
Check Screw Clearance with torque tool
Here below are showed the possbile tools combiantions 3D models and you can download on your computer in order to check maintainability.Insert screw characteristics and calculate torque and the tool 3D model will be showed
How it works

This calculator is based on the VDI 2230 guideline. In this guideline the torque required it is defined by the following expression:

Formula 1

Where

  • $P$ : pitch of the thread in milimeters; it has been obtained from DIN 13-28 (ISO Metric Screw Threads; Coarse and Fine Screw Threads from 1 to 250 mm)
  • $\mu_G$ is the coefficient of friction in the thread (in this case we have considered $\mu_G$ and $\mu_K$ equal and obtained from UNE 17-108-81)
  • $\mu_K$ is the coefficient of friction in screw head (in this case we have considered $\mu_G$ and $\mu_K$ equal and obtained from UNE 17-108-81)
  • $d_2$ pitch diameter of the bolt head in mm; it has been obtained from DIN 13-28 (ISO Metric Screw Threads; Coarse and Fine Screw Threads from 1 to 250 mm)
  • $D_{Km}$ Effective diameter for the friction moment at the bolt head or or nut bearing area and it is defined by the following expression
  • Fastener torque calculation formula. Effective diameter for the friction moment

    Where

    • $d_w$ is the outside diameter of the plane head bearing surface of the bolt; generally bearing surface in this case we have considered similar to the distance between flat surfaces of the head (head size), and it has been obtained from the following standards: DIN 7623 ,DIN 7643, DIN 7991, DIN 908, DIN 912, DIN 931, DIN 933, DIN 934, DIN 960, DIN 961, DIN 985, ISO 10642, ISO 4014, ISO 4017, ISO 4032, ISO 4762, ISO 7040, ISO 8676, ISO 8765, MBN 10105
    • $D_{Ki}$ is the inside diameter of the bearing area,we have considered the same as $d_2$ and it has been obtained from DIN 13-28 (ISO Metric Screw Threads; Coarse and Fine Screw Threads from 1 to 250 mm)
  • $F_{Mzul}$ Permissible assembly preload defined by the following expressions
  • Formula 2 Formula 3 VDI2230. Permissible assembly preload. Click on Formula link

    Where

    • $\nu$: utilization fator of yield point stress (limit of full plasticization of th cross section at risk)durin tightening. It is defined by user in the proof load percentage
    • $R_{p0,2}$ 0,2% proof strength of the bolt according to DIN EN ISO 898-1; in this case we have used the values of proof load from the standards SAE and ASTM and converted to the proper units $N/{mm}^2$
    • $A_0$ Appropriate minimum cross sectional area of the bolt
    • Formula 4 VDI2230.Appropriate minimum cross sectional area of the bolt. Click on Formula link
    • $d_2$ pitch diameter of the bolt head in mm; it has been obtained from DIN 13-28 (ISO Metric Screw Threads; Coarse and Fine Screw Threads from 1 to 250 mm)
    • $d_0$ diameter at the relevant smallest cross section of the bolt; from the DIN 13-28 (ISO Metric Screw Threads; Coarse and Fine Screw Threads from 1 to 250 mm)

$Note 1:$ In the case that the geometry standard is unknown then the programs assigns to Dkm value the average of several screw standards. It is not so significant in the end result.

$Note 2:$ In the case of do not know the constact surfaces material the calculator will assign a friction coefficient of 0,1 (($\mu$) is 0,1)

Another function is to help to check the maintainability. If you introduce the screw standard and thread size you will have the link to the recommended 3D models tools in order to check the required space to apply torque and to remove the screw. This will help to check that the design is easy to mantain and prevent future redesign process during the assembly. You only have to insert the tool in your 3D model and you will see that the bolt head clearance for the wrench, spanner or socket is enough.

Instructions

:

1) Enter thread diameter nominal value in section Thread Diameter. Click on info button for more info

2) Either select one fastener ISO with the "Set Geometry with Standard" option or enter manually the type and if the fastener is socket or not in the right part of the page, once you have selected Custom option.

3) Enter strength class of the fastener. Click on info button for more info

4) In section Coefficient of Friction either select one lubrication condition (faster and surface combination) with the "Select Friction condition" option or enter manually or let the default value in the right part of the page, once you have selected Unknown option.

5) Click on button calculate, and the calculated torque will appear below.

Send us any suggestion you have
The strength class in steel bolts is marked at it is shown in the following figures:
Bolt torque calculation, strength class explanation, click on info button
The strength class in the stainless steel screws is marked at it is shown in the following figure:
Bolt torque calculation, strength class stainless explanation, click on info button
From the strength class and the thread diameter value it will be calculated based on ISO 898-1 (ISO) the value of $R_{p0,2}$ min used in formula specified below
The "M" designation for metric screws indicates the nominal outer diameter of the screw, in millimeters (e.g., an M6 screw has a nominal outer diameter of 6 millimeters). Where major diameter is:
Bolt torque calculation, metric major diameter explanation, click on info button
This nominal value allows us to calculate based on the ISO 965: "Metric (ISO) Screw Coarse series (M)", the pitch(P),d2 and d0(that is d3 in the image) values of the torque formula. Image of such values
Bolt torque calculation, thread diameter explanation, click on info button
Mean diameter of bearing face of bolt head or nut relevant for frictional torque $$D_{km}=\frac{d_w+D_{a}}{2}$$ Therefore in above formula $$D_w$$ is the maximum diameter of friction surface of bolt head and $$D_a$$ is the minimum diameter of friction surface of bolt head

 

This values are automatically loaded based on iso and metric thread size, what at the same time give us the head and the shape needed for calculation.
Geometry details
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