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Calculate the vertical deflection of a beam
This calculation is an example problem in structural engineering. This content is sponsored by PPI. For similar problems, see the list of review books by PPI
Calculate the vertical deflection of the beam (magnitude and direction) at the midpoint of the central span (point A)
Solution
Use virtual work method:
Virtual Structure
From Equilibrium:
Shear force diagram
Virtual Bending Moment diagram
Real Bending Moment diagram
Based on virtual work we get:
Therefore, the vertical deflection of the beam at point A is:
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