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Bolted bracket

Rate one bolt of a bracket after VDI 2230, raise its shear load until it slips, and compare three ways to fix it.

  • VDI 2230 Part 1:2015

Try this example in the app

A bracket is held by M12 bolts of property class 8.8 through two 15 mm steel plates. Each bolt carries a 6 kN axial pull and a 2 kN transverse load. This tutorial rebuilds the Bolted bracket example, reads the VDI 2230 results, then overloads the joint in shear and tries three fixes.

The numbers are those of this version of Axomek. To compare: open the Bolted bracket example. It starts a new project from the example in place of yours, so save yours first (the app asks) and come back to it with Switch project (Ctrl+P).

Step 1: add the joint

  1. Start a Blank project and open Bolts in the navigation.
  2. Choose Add a joint. Joint J1 appears.
  3. Set Name to Bracket bolt.
  4. Under Loads per bolt, set Axial working load FA,max to 6000 N and Transverse load to 2000 N.

The other inputs keep their starting values:

GroupInputValue
BoltThread, Property classM12, 8.8
Joint, HeadThrough bolt with nut, hexagon head
Thread friction μG, Head friction μK0.12, 0.12
Tightening method, ToolTorque-controlled, torque wrench (αA 1.6)
Clamped partsTwo plates15 mm each, steel, E 210 000 MPa, limiting pressure 760 MPa
Interface diameter DA40 mm
Roughness Rz6.3 µm
Loads per boltPlate friction μT0.15
Load introductionLoad introduction n0.5

The loads are per bolt. Divide the bracket's loads among its bolts yourself, including the share of any moment.

Step 2: read the results

The results column shows three key results and the checks.

Key resultValue
Tightening torque MA83.6 N·m (it gives FMzul = 43.1 kN at μG 0.12, μK 0.12)
Preload needed FMmin21.6 kN; FMmax = 34.6 kN with αA 1.6
Load factor Φn0.091; the bolt takes 546 N of the 6000 N working load
CheckValue / minimum
Yield (working stress)1.17 / 1
Fatigue15.1 / 1.2
Surface pressure1.29 / 1
Slipping1.40 / 1.2
Shearing21.9 / 1.1
Preload reserve FMzul / FMmax1.25 / 1

All checks pass.

How to read it:

  • The bolt is tightened to 90 % of its yield strength (ν = 0.9) at the torque MA. With the scatter of a torque wrench, the preload lands anywhere between FMmin and FMmax=αA⋅FMmin.
  • Preload needed is the least assembly preload that still clamps after embedding (2.8 kN lost here), with the working load on top. The clamp load must also carry the transverse load by friction: 13.3 kN for 2000 N at μT 0.15.
  • The joint is much stiffer than the bolt, so only 9 % of the working load reaches the bolt (Φn = 0.091). That is why the fatigue safety is so high: the bolt barely feels the load cycle.
  • The yield safety is about the working stress of the tightened bolt plus its share of the load; at ν = 0.9 it stays close to 1.

Step 3: raise the shear load

Set Transverse load to 3000 N. Two checks fail:

CheckValue / minimum
Slipping0.934 / 1.2 (fails)
Preload reserve FMzul / FMmax0.953 / 1 (fails)

To hold 3000 N by friction the joint needs more clamp load. With αA 1.6 the largest preload this implies, FMmax = 45.2 kN, is above what an M12 8.8 can take at the specified torque (FMzul = 43.1 kN). The bolt is too small for this load with this tool.

Step 4: three fixes

Try each from the state of step 3 (Transverse load 3000 N), then go back with Ctrl+Z.

A. A more precise tool

Set Tool to Precision torque wrench (αA 1.4).

The scatter shrinks, so FMmax falls to 39.6 kN and fits under FMzul. Slipping improves to 1.13, but still fails its minimum of 1.2. Better tightening helps, but it is not enough here.

B. A higher property class

Set Property class to 10.9 (back to the torque wrench).

FMzul rises to 63.3 kN and MA to 122.8 N·m. Slipping passes at 1.57. But Surface pressure now fails at 0.880: the higher preload presses the bolt head into the plate harder than its limiting pressure of 760 MPa allows. You would need a hardened washer or a plate material with a higher limiting pressure.

C. A larger thread

Set Thread to M14 (property class 8.8, torque wrench).

CheckM12M14
Slipping0.9341.39
Preload reserve0.9531.27
Surface pressure1.291.45
Yield1.171.17
Fatigue15.119.6

All checks pass, with MA = 133.5 N·m. M16 would give more margin (slipping 2.03), at MA = 205.9 N·m.

The M14 is the simplest fix: it carries the transverse load by friction with the ordinary tool and stays within the plates' limiting pressure.

Going further

  • Under Eccentricity, describe a bracket whose bolt sits off the load line: the joint can then open at one edge, and the load factor becomes Φen*.
  • Under Fatigue and thread engagement, give a tapped part's strength to check the engagement length.
  • Under Temperature, warm the bolt and the plates differently and watch the preload change.

Calculations that use this