### BEAMS MOMENT OF INERTIA

the moment of inertia of a rectangular beam of homogeneous material. A formal calculus derivation of this formula is given in Appendix A. The section modulus gives only the maximum bending stress, but the moment of inertia gives the stress at any distance c from the neutral axis as f= Mc/I. This is useful, for example, for bending elements of asymmetrical cross-section, such as T- and L-shapes.

**1**Bending stress distribution over beam cross-section

**2**Moment of inertia visualized as volume under parabolic surface

**3**T-bar with asymmetrical stress: max. stress at c2 from the neutral axis

**4**Angle bar with asymmetrical stress distribution about x, y, and z-axes: maximum resistance about x-axis and minimum resistance about z-axis

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