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17.1 : Normal Stress

Normal stress is a type of stress that occurs when forces act perpendicular, or normal, to a material's cross-sectional area. This stress often arises in structures when subjected to axial loading, which is the application of force along the axis of an object. A practical example of this can be found in bridge truss members.

When a rod is under axial loading, the internal forces and corresponding stress are normal to the plane of the section, so it is termed normal stress. It's important to note that stress represents the average stress value over the cross-section, not at a specific point. The average stress is calculated by dividing the magnitude of the resultant internal forces distributed over the cross-section by the area of the cross-section.

Equation 1

However, the stress at a given point may differ from the average stress, as it varies across the section. Especially in slender rods under axial loads, the variation can be significant near the load application points.

Equilibrium conditions suggest uniform stress distribution in axially loaded members, except near load application points, assuming centric loading. However, eccentric loading creates non-uniform stress due to additional moments, indicating statically indeterminate stress distribution.

Tags
Normal StressAxial LoadingCross sectional AreaInternal ForcesAverage StressBridge TrussLoad Application PointsUniform Stress DistributionEccentric LoadingStatically Indeterminate Stress

From Chapter 17:

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