Stiffness and Young's modulus are related but different concepts. Young's modulus is a material property that describes the stiffness of a material when subjected to tension or compression. Stiffness, on the other hand, is a structural property that describes the resistance of a structure to deformation under an applied load.
If two structures have the same stiffness, it means they will deform by the same amount when subjected to the same applied load. However, this does not necessarily mean that they have the same Young's modulus or the same dimensions.
For example, a long and thin beam may have the same stiffness as a short and wide beam, even though their dimensions are different. Similarly, two beams made of different materials may have the same stiffness but different Young's moduli.
Therefore, while having the same stiffness is a useful measure of comparability for structural purposes, it does not provide information on the material properties or dimensions of the structures being compared.
It appears that you have two structures with identical stiffness at the structural level, meaning they exhibit the same amount of deformation (measured in radians) per applied moment (measured in Newton-meters). However, it's important to note that the stiffness of a component is not solely determined by its material stiffness (Young's modulus), but also by its dimensions and overall geometry. Therefore, the Young's modulus of the structures you are interested in may differ.