I will start by highlighting the main points (some were also found in other answers). I will additionally provide a short calculation for the tensile strength (and shear strength) very quickly by knowing the type (e.g. M6) and grade (e.g 10.9). and below I will providing a layman's calculation for a metric bold.
In the numerical calculation I will use a very small, and very low grade bolt to show case that the bolts usually aren't the weak link in this case.
the important parts for a layman
- (tiger guy's): Bolts shouldn't be used in shear (they can be used but in most
scenarios are not suggested)
- for 50 kg any metric bolt should be able to hold.
- (Daniel K) In many cases, bolts are not the weak link in the assembly.
Calculation for bolt tensile strength
The type M6 is indicative of the diameter of the core. So the cross-sectional diameter (d)of the core is (close to) $A = \frac{\pi \cdot d^2}{4}=\frac{\pi\cdot 6^2}{4}$
The grade shows the material type. It consist of two numbers separated by a dot (X.Y). E.g. 8.8.
- The first number multiplied by 100 is the UTS of the material MPa
- The second number (with the dot) is the ratio of the yield stress to the UTS of the material.
So for an 5.6 bolt the UTS is $5\cdot 100 =500 MPa$, and the yield stress is $0.6\cdot \sigma_{UTS}=300 MPa$. The followonig table has some of the most common bolt grades.
|
UTS |
yield stress |
4.6 |
400 MPa |
240 MPa] |
5.6 |
500 MPa |
300 MPa |
8.8 |
800 Mpa |
640 MPa |
10.9 |
1000 MPa |
800 MPa |
etc |
.. |
.. |
So the tensile strength up to yield strength of an M4 4.6 is:
$$ A \cdot \sigma_y = \frac{\pi\cdot (4 [mm])^2}{4} \cdot 240 \left[\frac{N}{mm^2}\right]= 3015 N$$
Or approximately 300 kg.
Calculation for bolt shear strength
For the shear strength, you can approximate the shear yield stress to 0.5 of the tensile yield stress (this is a very conservative approximation if you compare it to tables from Eurocode). So the shear load should be in the order of (at least) 150 kg.
Please note that I used in the example one of the smaller metric bolts M4 (its hard to find a wrench them), at the lowest grade, and it still was capable of holding (At least) 3 times the 50 kg load.