June 2025
Intermediate to advanced
515 pages
17h 5m
English
Content preview from Python For Engineering and Scientific Computing
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5.14 Project Task: Bending a Beam That Is Fixed at One End
For a beam of length l that is fixed at one end, we want to calculate the deflection w = 𝑓(x). The deflection (bending line) depends on the cross-section and length of the beam, the elastic modulus E of the material and the force F that’s acting on the beam. The influence of the cross-section on the deflection is determined by the second axial moment of area, Iy. The second moment of area and the deflection of a beam are supposed to be computed symbolically using SymPy. The deflection should also be represented as a function graph.
5.14.1 Second Moment of Area
The second moment of area determines how the shape of the cross-sectional area of a beam (girder) affects its stiffness. ...
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