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Polar moment of inertia equation circle1/23/2024 ![]() ![]() The load is eccentric because it does not act through the centroid of the pattern. ![]() The figure below shows a pattern with an eccentric shear load that is applied in the plane of the pattern. Two common loading conditions are discussed in the next two sections, followed by a discussion of the generalized approach for distributing applied loads over a bolt pattern. The reason for this is that not all of the load applied to a bolted joint is actually seen by the bolt, as discussed here. Note that we maintain the distinction that the forces are distributed to individual bolted joints rather than individual bolts. Likewise, shear forces are distributed based on the pattern's area, A, and polar moment of inertia, I c.p. ![]() Axial forces are distributed over a bolt pattern based on pattern's area, A, and moments of inertia, I c.x and I c.y. The forces and moments at the centroid are then resolved into axial and shear forces acting at the individual bolted joints. Applied loads are translated to the centroid of the pattern (analogous to the neutral axis of a beam or shaft). The distribution of forces and moments over a bolt pattern is similar to the analysis of a beam or a shaft.
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