Deflection in simply supported beam
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This document discusses deflection in simply supported beams. A simply supported beam is supported at both ends but not fixed, allowing it to move vertically but not horizontally. The theoretical deflection of a simply supported beam under a center load can be calculated using the Euler-Bernoulli beam equation, which takes into account the load, length, modulus of elasticity, and moment of inertia. The document compares theoretical deflection values calculated from the equation to practical deflection values measured in experiments.
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Deflection in simply supported beam
- 1. Deflection in simply supported beam
- 2. Key terms Main structural elements of the building • Foundation • Column • Beam • Slab
- 4. Simply supported beams The most common examples of simply supported beams are, bridge girders, post and lintel structure.
- 8. A Comparison – Theoretical and practical deflection value of a beam. Understanding of Simply supported beam and its reaction towards a load (deflection)
- 9. Theoretical deflection- Euler–Bernoulli beam equation Center-loaded simple beams Simply-supported beam with a force in the center The elastic deflection (at the midpoint C) of a beam, loaded at its center, supported by two simple supports. where P = Force acting on the center of the beam L = Length of the beam between the supports E = Modulus of elasticity (a measure of elasticity) I = Area moment of inertia of cross section (geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis.) 𝑭𝒍³ 𝟒𝟖 𝑬 𝑰
- 10. Practical LOAD(g) FORCE (N) Measured Deflection (mm) FL³ FORCE Area Moment of inertia P= Load x gravitational force g I = bh³ / 12 p= load (KG) x 9.81 steel= 207 GN.m̄² Deflection in simply supported beam Young's Modulus E = Beam Material= Distance between supports(L)= Area moment of inertia (I)= Young's Modulus E = Theoretical Deflection 𝑭𝒍³ 𝟒𝟖 𝑬 𝑰