TL;DR: Materials perform differently under different loading conditions. Some applications are more suited for steel others for aluminium
I will try to give another more general perspective/approach, using the concept of material indices (mainly other users gave perfectly adequate explanations of the differences between bending and tension and stiffness vs strength and also provided enough examples. ).
The equations of performance of a material for a certain application (there are multiple) can be derived (e.g. an example of material indices derivation is in slide 17 in this here - or maybe later I'll give an example).
What you end up is an equation with the properties required to maximize stiffness or strength while minimising mass or cost.
So for minimising mass you end up with the following MI's:
Application |
Stiffness |
strength (to yield point) |
Tension |
$\frac{\rho}{E}$ |
$\frac{\rho}{\sigma_y}$ |
bending beam |
$$\frac{\rho}{E^{1/2}}$$ |
$$\frac{\rho}{\sigma_y^{2/3}}$$ |
bending panel |
$$\frac{\rho}{E^{1/3}}$$ |
$$\frac{\rho}{\sigma_y^{1/2}}$$ |
Where:
- $\rho$ density
- $E$ modulus
- $\sigma_y$ yield strength/proof stress (you can use other properties also).
Example for steel and aluminium comparison
Assuming the following properties are correct (for example I found that Al 6061 has better yield strength that S235, but for other steels that might not be the case) then:
property |
units |
Steel S235 |
aluminium 6061 |
Maraging steel |
$\rho $ |
$\frac{kg}{m^3}$ |
7800 |
2700 |
8100 |
$E$ |
$GPa$ |
210 |
70 |
210 |
$\sigma_y$ |
$MPa$ |
235 |
275 |
2000 |
Then you end up with the following MI's. In color and bold are the values that should be selected. (notice that you sometime authors use the inverted formula in that case the maximum values are preferable)
Max stiffness, for min mass |
Steel S235 |
Aluminimum 6061 |
Maraging steel |
Tension (up to yield) |
$\color{red}{37.1}$ |
38.6 |
38.6 |
bending beam |
583 |
$\color{red}{322.7}$ |
559 |
bending panel |
1312 |
$\color{red}{655}$ |
1362.7 |
Max strength, for min mass |
Steel S235 |
Aluminimum 6061 |
Maraging steel |
Tension (up to yield) |
33.2 |
9.8 |
$\color{red}{4.1}$ |
bending beam |
204.8 |
63.8 |
$\color{red}{51}$ |
bending panel |
508.8 |
$\color{red}{162.8}$ |
181.1 |
From the above, when only the minimisation of mass is a criterion (cost can also be one), then for the grades I've selected for the example, aluminium outperforms steel S235 in all cases except for the stiffness in tension (and even then marginally). In most other cases the difference is significant.
On the other hand the maraging steel performs better than aluminium when strength is concerned, but even there when it comes to bending of panels Alumium has the edge
Quantifying the weight saving.
Another benefit of the material indices is that they can directly estimate the weight saving. This is assuming the same basic cross-section. To do that you only need the ratio of the two mi's. So, in the above example for the maraging steel and aluminium.
Max stiffness, for min mass |
Aluminimum 6061 |
Maraging steel |
Weight saving |
Tension (up to yield) |
38.6 |
38.6 |
0 |
bending beam |
$\color{red}{322.7}$ |
559 |
42% |
bending panel |
$\color{red}{655}$ |
1362.7 |
52% |
the way to read the above, is that if you had a component that exhibited the same deformation/deflection, with similar rectangular cross-sections, the weight would be the same for tension, however for bending of a beam and panel there will be more that 40% and 50% weight saving respectively in the aluminium component.
The same can be done for strength, in which case:
Max strength, for min mass |
Aluminimum 6061 |
Maraging steel |
Weight saving |
Tension (up to yield) |
9.8 |
4.1 |
-142% |
bending beam |
63.8 |
51 |
-25% |
bending panel |
162.8 |
181 |
10% |
The minus in this case signifies that the equivalent aluminium component would be heavier by that percent. So the maraging steel in this case outperforms the aluminium. Still, there is a 10% improvement in the bending of panel, even in strength.
Ashby diagrams
You can visually do this material selection with an Ashby diagram with guide lines for material selection like the following.

Figure : source Wikipedia