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Beams with Unsymmetric Loadings
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
Beams with Symmetric Loadings
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Elastic Curve from the Load Distribution
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments.
Load along a Single Axis
Consider a beam of length L subjected to a varying load, which is a combination of parabolic and trapezoidal load distribution along the x-axis. In this case, it is essential to determine the resultant loads, their locations, and...
Distributed Loads: Problem Solving
Impact Loading on a Cantilever Beam
When an object is dropped onto the free end of a cantilever, its potential energy due to gravity is...


