Structures and stress. BaDI 1. Outline. Beam Strength and Deflection Moment of Inertia Types of Forces Applied Youngâ€™s Modulus (stress and strain) Optimization. Beam Deflection. Every object acts as a spring â€“ it will deflect when a force is applied
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The beams have the same cross-sectional area, but the shapes and moments of inertia are different
With the same volume of material, the hollow beam is stronger (higher moment of inertia).Differences in Deflection
Top of beam – under tension
Bottom of beam – under compression
Bending of a Cantilever Beam
The deflection of the beam depends on:
Theoretically, the deflection of the beam at the location of the dial indicator is given by
Where E is the modulus of elasticity of the beam’s material, and I is the moment of inertia of the cross section.
A measure of the way the mass is distributed in a solid