CIV100H1 Lecture Notes - Lecture 30: Interia.Pl, Neutral Axis, Centroid
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Civ100 lecture 30- bending stresses in beams. When we examine the cross section of the bent beam, we find that the line stays planar as long as it is elastic. Assumptions: material is linearly elastic, meaning it will spring back, planar cross section remains planar, bending stresses are independent of axial and sheer forces in the beam. Looking at the smiley face diagram, the top goes in compression and the bottom goes in tension. Right at the centroid of cross section, there is no strain/stress, so this means that it is a neutral zone neutral axis. Lets assume that we have stretching at the bottom, making it elongate. K y2 da = k= y2 da (this is. Example 1 continued focusing on the bending moment m: outside of the beam (mm) You can figure form this diagram that there was a stress block in the top half creating a net resultant compression force.
