The discussion revolves around calculating the dimensions of a solid rectangular beam based on given parameters: maximum bending moment, section modulus, and allowable stress. The focus is on the theoretical and mathematical aspects of beam mechanics, particularly in relation to bending stress and section modulus.
Participants generally agree on the formulas and relationships involved in calculating the dimensions of the beam, but there is no consensus on how to resolve the equations due to the presence of multiple unknowns.
The discussion highlights limitations in the number of equations relative to the unknowns, as well as the dependency on the specific definitions of variables used in the calculations.
TaxOnFear said:Where are your workings? Where is it you're having problems?
Yes, Z= I/(d/2), so what is I in terms of the base (b) and height (d), for a rectangular cross section?mm391 said:Z= I/y with y being depth/2.
But I can't see how this will help. Sorry.
PhanthomJay said:Yes, Z= I/(d/2), so what is I in terms of the base (b) and height (d), for a rectangular cross section?
you mean (bd^3/12)/(d/2) = b*d^2/6mm391 said:Firstly thank you for your help and patience.
((b*d^3)/(d/2)
No, you have 2 unknowns and 2 equations...the one that was given you...in your original post..Z = b*d^2/6
Z * 6 = b*d^2
But I still have two unknowns and one equation.