Many of us, probably most, don't give our vehicle recovery points much thought, and go out and buy our recovery gear, and might even have a winch fitted. Now we have a selection of shackles, all rated bow shackles, because we have heard and learnt that these are the ones to buy for 4x4 vehicles. We also possess a pull strap, a snatch strap, and even a tree protector. But do we know where to attach them and do we know how to safely use them? Unfortunately the answer in many cases is NO.
Many say that our vehicles are fitted with recovery points, and yes, we know that the tow ball is not made for recovery, but we still use it in an "emergency". Many vehicle have 12mm round bar hooks, or those handy towing eyes held in place by a 5mm s-clips. The Land Rover also has those handy lashing eyes. Now, before we use these, let's have a look at some theory about the strength of materials:
I will start with safety factors. Safety factors are employed because the quality of steel and workmanship cannot be guaranteed, especially for mass produced steel. The chemical composition does vary within an "acceptable" range. There can be hidden flaws in the material. Also, without accurate computer finite element analysis, it is very difficult to calculate present stresses and strains, especially on complex fittings, where the load path is not obvious or linear. The safety factors are "supposed" to cover these factors.
The strength of steel is measured by two parameters, the Yield Point, and the Tensile Strength. The yield point is the stress point at which permanent strain (deformation) occurs. Before this point, the material will deform or stretch under load, but will spring back to its original size or form when the force is removed. The tensile strength of the material is the point at which it will break.
The lifting industry uses a safety factor of 5. This
is calculated on the tensile strength figure. As an example, lets take
structural mild steel used in the construction of, for example, angles and square tubing.
This is usually BS4360 43A (300WA), which has the following specs:
Yield point = 300 MPa
Tensile strength = 450 to 600 MPa (ave 525 MPa)
A safety factor of 5 means that in our designs, the stress of the material may not exceed 525/5 = 105 MPa. This leaves us with a permanent deformation safety factor of 300/105 = 2.85.
Many other non-critical applications use a safety factor of 3, ie allowable stress = 525/3 = 175MPa.
There are 3 basic stresses which need to be evaluated in the material, and they are tensile, shear and bearing stresses. If you take a bolt as an example, the tensile stress would be the stress resulting from longitudinal tension in the bolt, the shear stress would be the stress caused by eg two plates, held together by the bolt, trying to shear the bolt. Bearing stress is basically the contact force on the surface trying to deform the surface.
The table below gives the allowable bearing forces in tons of mild steel pins and holes for different hole/pin diameters and plate thicknesses. A safety factor of 3 is used, allowable stress = 505 MPa/3 = 168 MPa
|
Allowable bearing force (tons) (Tensile breaking point) |
||||||
|
Plate |
Shear pin diameter Ø |
|||||
|
8 mm |
10 mm |
12 mm |
16 mm |
20 mm |
25 mm |
|
|
0.5 mm |
0.07 |
0.09 |
0.10 |
0.14 |
0.17 |
0.21 |
|
1.0 mm |
0.14 |
0.17 |
0.21 |
0.27 |
0.34 |
0.43 |
|
1.5 mm |
0.21 |
0.26 |
0.31 |
0.41 |
0.51 |
0.64 |
|
2.0 mm |
0.27 |
0.34 |
0.41 |
0.55 |
0.69 |
0.86 |
|
2.5 mm |
0.34 |
0.43 |
0.51 |
0.69 |
0.86 |
1.07 |
|
3.0 mm |
0.41 |
0.51 |
0.62 |
0.82 |
1.03 |
1.29 |
|
3.5 mm |
0.48 |
0.60 |
0.72 |
0.96 |
1.20 |
1.50 |
|
4.0 mm |
0.55 |
0.69 |
0.82 |
1.10 |
1.37 |
1.72 |
|
4.5 mm |
0.62 |
0.77 |
0.93 |
1.24 |
1.54 |
1.93 |
|
5.0 mm |
0.69 |
0.86 |
1.03 |
1.37 |
1.72 |
2.14 |
|
5.5 mm |
0.76 |
0.94 |
1.13 |
1.51 |
1.89 |
2.36 |
|
6.0 mm |
0.82 |
1.03 |
1.24 |
1.65 |
2.06 |
2.57 |
|
6.5 mm |
0.89 |
1.12 |
1.34 |
1.78 |
2.23 |
2.79 |
|
7.0 mm |
0.96 |
1.20 |
1.44 |
1.92 |
2.40 |
3.00 |
|
8.0 mm |
1.10 |
1.37 |
1.65 |
2.20 |
2.75 |
3.43 |
|
9.0 mm |
1.24 |
1.54 |
1.85 |
2.47 |
3.09 |
3.86 |
|
10.0 mm |
1.37 |
1.72 |
2.06 |
2.75 |
3.43 |
4.29 |
|
12.0 mm |
1.65 |
2.06 |
2.47 |
3.29 |
4.12 |
5.15 |
|
15.0 mm |
2.06 |
2.57 |
3.09 |
4.12 |
5.15 |
6.43 |
|
19.0 mm |
2.61 |
3.26 |
3.91 |
5.22 |
6.52 |
8.15 |
|
20.0 mm |
2.75 |
3.43 |
4.12 |
5.49 |
6.86 |
8.58 |
|
22.0 mm |
3.02 |
3.78 |
4.53 |
6.04 |
7.55 |
9.44 |
|
25.0 mm |
3.43 |
4.29 |
5.15 |
6.86 |
8.58 |
10.72 |
Allowable Pin Shear Forces
again, using the allowable stress of 168 MPa for MS, and 880/3 = 293MPa for
the high tensile steel
|
Pin |
Mild Steel |
High tensile |
| 8 mm |
863 kg |
1503 kg |
| 10 mm |
1348 kg |
2348 kg |
| 12 mm |
1941 kg |
3382 kg |
| 16 mm |
3450 kg |
6012 kg |
| 20 mm |
5391 kg |
9394 kg |
| 25 mm |
8423 kg |
14678 kg |
| 30 mm |
12129 kg |
21136 kg |
The following forces are calculated in the thread area, and not at the shank side.
|
Factored Allowable Bolt Forces |
||||||
|
Bolt |
Max Tensile Forces kg |
Max Shear Forces kg |
||||
|
MS |
4.6MPa |
8.8MPa |
MS |
4.6MPa |
8.8MPa |
|
|
5 mm |
174 kg |
282 kg |
651 kg |
200 kg |
320 kg |
751 kg |
|
6 mm |
246 kg |
400 kg |
922 kg |
288 kg |
461 kg |
1081 kg |
|
8 mm |
448 kg |
728 kg |
1679 kg |
512 kg |
820 kg |
1921 kg |
|
10 mm |
709 kg |
1153 kg |
2661 kg |
801 kg |
1281 kg |
3002 kg |
|
12 mm |
1031 kg |
1676 kg |
3867 kg |
1153 kg |
1845 kg |
4323 kg |
|
16 mm |
1920 kg |
3121 kg |
7202 kg |
2050 kg |
3279 kg |
7686 kg |
|
20 mm |
2997 kg |
4870 kg |
11239 kg |
3202 kg |
5124 kg |
12009 kg |
|
24 mm |
4318 kg |
7017 kg |
16193 kg |
4612 kg |
7378 kg |
17293 kg |
|
30 mm |
6862 kg |
11151 kg |
25734 kg |
7205 kg |
11529 kg |
27021 kg |
|
36 mm |
9994 kg |
16240 kg |
37477 kg |
10376 kg |
16601 kg |
38910 kg |
|
42 mm |
13700 kg |
22263 kg |
51376 kg |
14123 kg |
22596 kg |
52960 kg |
|
48 mm |
17982 kg |
29220 kg |
67431 kg |
18446 kg |
29514 kg |
69173 kg |
|
Bolt |
Max Tensile Forces kg |
Max Shear Forces kg |
||||
|
MS |
4.6MPa |
8.8MPa |
MS |
4.6MPa |
8.8MPa |
|
|
6 mm |
269 kg |
437 kg |
1009 kg |
288 kg |
461 kg |
1081 kg |
|
8 mm |
480 kg |
779 kg |
1798 kg |
512 kg |
820 kg |
1921 kg |
|
10 mm |
749 kg |
1217 kg |
2807 kg |
801 kg |
1281 kg |
3002 kg |
|
12 mm |
1127 kg |
1831 kg |
4225 kg |
1153 kg |
1845 kg |
4323 kg |
|
16 mm |
2043 kg |
3320 kg |
7661 kg |
2050 kg |
3279 kg |
7686 kg |
|
20 mm |
3327 kg |
5407 kg |
12477 kg |
3202 kg |
5124 kg |
12009 kg |
|
24 mm |
4697 kg |
7633 kg |
17615 kg |
4612 kg |
7378 kg |
17293 kg |
|
30 mm |
7596 kg |
12344 kg |
28486 kg |
7205 kg |
11529 kg |
27021 kg |
|
36 mm |
10581 kg |
17194 kg |
39679 kg |
10376 kg |
16601 kg |
38910 kg |
With these tables we can now assess the strength of various items.
Let's use the 110 Defender as an example.
1. Lashing eyes (also incorrectly
called towing bracket or towing eyes)
These are made from 7mm thick steel, and attached to the vehicle with one
Ø10mm bolt.
Lets assume that the bolt is a high tensile (8.8) bolt.
First, consider the lashing eye material at
the bolt hole:
The allowable bearing force here (t=7mm, Ø
= 10mm) is 1720 kg.
The allowable bolt shear force (high tensile, Ø = 10mm) is 2348 kg.
Now check the chassis at the back. The chassis thickness is 2mm, and there is no stiffener welded on as there is on the front. The older Range Rovers, and Discos series 1 and 2 do have such stiffeners on the back as well. Only a spacer is used inside the chassis to prevent the chassis section from pulling together when tightening these bolts, and it does not add to the strength. Therefore the critical factor will be bearing stress on this area. From the top table we get
Allowable bearing force = 340kg. Multiply by 3 (if you are feeling brave) and you get hole deformation (tearing) at 1020kg, assuming the material composition is perfect.
This tells us that one should not attach more than 340kg force to the back eye lashings. This does not even make it suitable for towing. As bearing failure, or tearing of the chassis is not as critical as a sheared bolt, we could assume that in the worst case scenario that we can attach up to 1020kg to each eye at the back. This is definitely not advisable though.
The eye lashings at the front are connected to a reinforced section, where the material is 4.5mm thick, and reinforced. Each of these should be able to withstand about 4 tons force. Therefore, the critical factor for the front would be allowable bearing force on the eye lashing, ie 1720kg. This is still not suitable as a recovery point, but if both sides are used simultaneously, gentle winching could be attempted. This also goes for towing.
2. The Front Bumper
The bumper is attached to the chassis with 2 10mm bolts per side. the bumper thickness at this joint is 3.5mm.
The allowable bearing force per side on the
bumper is thus
4 x 600kg = 2400kg per side.
The allowable bearing force per side on the
2mm chassis is
4 x 340kg = 1360kg per side. But the section is reinforced. So let's
assume that the allowable stress is the equivalent as the tensile strength,
without a safety factor, for the 2mm section. ie Allowable force = 1360 x
3 = 4080kg per side.
The allowable shear force per side (with HT
bolts) is
4 x 2348kg = 9392 kg per side.
The lower section has a reinforced bolt hole
through 4.5mm material. Again, removing the safety factor to
compensate for the reinforcement, we get
Allowable bearing force = 2 x 770 x 3 = 4620kg per side, and
Allowable bolt shear force = 2 x 2348 = 4696kg per side.
Therefore, the front bumper can be reinforced so that the attachment material at the bolt section is 6mm thick, top and bottom. Then an eight ton force can be applied to the bumper, 4 ton each side, IF the bumper has decent attachments welded to it.
A jate ring, or similar attachment can be attached to the horizontal bolt in the lower section. Again, the applied force should be limited to 4 tons per side.
3. The back of the vehicle.
As determined in 1 above, the defender can not use jate rings at the back section, as the existing bolt holes are un-reinforced, and can only take 340kg per hole. Therefore, a plan needs to be made where the tow hitch is beefed up, and supported with a backing plate, one needs to have recovery points, like those found on the Discos and Rangies, welded onto the chassis. If the chassis is galvanised, forget this avenue, as the weld, even with cleaning up, will not be strong enough.
The attachments on the Discos and Range Rovers are good enough for loads up to 4 tons per side. With suitable jate rings, this is where you will then attach your snatch strap, with the help of a strong strap.
On the Defender, using a specially designed recovery tow hitch plate, with a backing plate, is thus the only realistic solution for recovery. It is difficult to calculate the exact safe forces here without proper computer modeling due to the complex shape of the back chassis member. I would hesitate applying more than 6 ton force through here though.
These examples above should be able to give you an idea of how to use the above tables. Please note that the tables assume ideal materials and conditions, with straightforward loads. Loads tend to be more complex though, eg a towing, or recovery force at a 20 degree angle to the vehicle. Suddenly bending forces also come into play. So use the above data with care, and as an indication only, as the forces you will realise will probably be higher.