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In this video, I have discussed, Why is the depth of a Beam always greater than its width?
When a load is applied on a beam, it tends to deflect the beam & generates some bending moment within the beam. The primary role of a beam is to withstand the moment generated by the load applied to it. As the beam opposes deflection, it generates a substantial moment, which it must endure.
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Beams are designed to resist the bending stresses with greater flexural rigidity. Flexural rigidity is nothing but the resistance offered by a beam while undergoing bending.
Hence, the most cost-effective beam design is one that provides the greatest flexural rigidity with the smallest sectional area. The rigidity of a beam is represented by EI, where E is the flexural modulus or modulus of elasticity in bending, and I is the moment of inertia of the given cross-section.
In other words, the ability of a beam is determined by its moment of inertia, which indicates the resistance created within the beam. The larger the moment of inertia, the greater will be the resistance offered by the beam to the moment.
For a specific material, E remains constant, and the moment of inertia (I) is determined by the beam's sectional dimension.
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