Discussion
Match each beam quantity in List I with its expression in List II.
List I
A. Curvature
B. Section modulus
C. Maximum stress
D. Cantilever tip deflection under a point load
List II
1. Second moment of area over extreme fibre distance
2. Bending moment over bending stiffness
3. Load times length cubed over three EI
4. Moment over section modulus
Select the correct match.
Answer: D
These four relations connect the loading to the stress and the deflection, and between them cover most elementary beam work. Note the cube on the length in the deflection result, which is what makes span so expensive in stiffness.
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