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Oct 23, 2024 · This beam deflection calculator will help you determine the maximum beam deflection of simply-supported and cantilever beams carrying simple load configurations. You can choose from a selection of load types that can act on any length of beam you want.
May 3, 2024 · The deflection of a beam is calculated based on a variety of factors, including materials, the moment of inertia of a section, the force applied, and the distance from support. These can be simplified into simple deflection formula for quick back of the envelope calculations.
- Zoe Liang
One of the most powerful functions is using it as a beam deflection calculator (or beam displacement calculator). This can be used to observe the calculated deflection of a simply supported beam or of a cantilever beam.
- 0 Differential Equation of the Deflection Curve. The differential equation of the deflection curve is used to describe bending behaviour so it crops up when examining beam bending and column buckling behaviour.
- 0 Determining the Bending Moment Equations. Consider the simply supported beam in Fig. 1 below. The beam is subject to two point loads and a uniformly distributed load.
- 0 Integrating the Differential Equation of the Deflection Curve. Now that we have established how the bending moment varies, we can substitute our relevant expressions for M(x)M(x)M(x) into the differential equation and perform our integrations.
- 0 Calculating Beam Deflection. At this point we can summarise the three equations that describe the deflection in the three regions of our beam: EIv=−10x412+139.375x36−856.354x (Region 1)(22)EI v = -10\frac{x^4}{12} + 139.375\frac{x^3}{6} -856.354x \:\:(\text{Region } 1) \tag{22}EIv=−1012x4+139.3756x3−856.354x(Region 1)(22)
Learn how to calculate beam deflection for various beam configurations in structural engineering. Ensure safe and proper structural design.
Make use of our beam deflection calculator to find maximum deflection of the beam (simple-supported or cantilever) after a certain load is carried on it. Calculates the effect of beam bending depending upon the magnitude and location of the object placed on it.
Shear Stresses in I-Beams. Beam Deflection Tables. References. Related Pages: • Beam Formula Sheet. • Strength of Materials. • Beam Calculator. Constraints and Boundary Conditions. For a beam to remain in static equilibrium when external loads are applied to it, the beam must be constrained.
