How are the various filaments of a beam affected when the beam is loaded?
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The deflection of a spring beam depends on its length, its cross-sectional shape, the material, where the deflecting force is applied, and how the beam is supported. The equations given here are for homogenous, linearly elastic materials, and where the rotations of a beam are small.
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How many factors affect the deflection of the beams?
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Most of the answers are right. But the have all missed one important factor i.e. Boundary Condition (Support Type)
So the complete list would be
Beam Material (Elastic Modulus)
Beam Section, dominantly depth (Moment of Inertia and also selfweight of beam)
Loading (Dead and Live Load)
Span of beam
Support Type (Fixed, Hinged)
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