Slenderness Inequality Aab6De
1. The problem is to understand and interpret the inequality $h/tw > 2.24 \sqrt{E/f_y}$.
2. This inequality relates the slenderness ratio $h/tw$ of a structural element to material properties: $E$ is the modulus of elasticity and $f_y$ is the yield strength.
3. The formula used here is a comparison of slenderness ratio to a critical value involving $E$ and $f_y$.
4. The term $\sqrt{E/f_y}$ means the square root of the ratio of modulus of elasticity to yield strength.
5. The inequality states that the slenderness ratio $h/tw$ must be greater than $2.24$ times this square root value.
6. This is often used in structural engineering to check for local buckling or stability criteria.
7. To evaluate or use this inequality, you would plug in the values of $E$ and $f_y$ for the material, compute $\sqrt{E/f_y}$, multiply by $2.24$, and compare to the actual $h/tw$ ratio.
8. If $h/tw$ is greater than this value, the condition is satisfied; otherwise, it is not.
Final answer: The inequality $h/tw > 2.24 \sqrt{E/f_y}$ sets a minimum slenderness ratio based on material properties for stability checks.