Merely a question concerning elementary calculation of stiffness

[Mistress]

Merely a question concerning elementary calculation of stiffness:

I have two rectangular and solid bars made of the same homogeneous material: Bar A is 0.85 cm high and 0.5 cm wide, whereas bar B is 1.0 cm high and 0.425 cm wide – and as both bars have the same cross-section area (of 0.425 cm²), both bars have the same mass per unit of length. Nevertheless, bar B is vertically stiffer, which is the problem: How much do I have to reduce the width (and not the height) of bar B to obtain the exact vertical stiffness of bar A? And what is the formula for this calculation?

Thank you

 

[Autosug]

I think this is what you seek(se attachment).

Might not be this. Not my strongest area.
The formulas i can't remember.

Anyway hope you can use atleast some of it.

 

[Mistress]

Dear Autosug, thanks for your reply! Still lacking verification, I'll contact other forums as well - and in case of any substantial response, I'll let you know.