Deflection Calculation
Deflection Calculation - Related Videos
10:02
Submillisecond Conformational Changes in Proteins Resolved by Photothermal Beam Deflection
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Cited by 1 •
2014
Here we report an application of the photothermal beam deflection technique in combination with a caged calcium compound, DM-nitrophen, to monitor microsecond and millisecond dynamics and energetics of structural changes associated with the calcium association to a neuronal calcium sensor, Downstream Regulatory Element Antagonist Modulator.
01:19
Deflection of a Beam
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2024
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation. Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
01:13
Maximum Deflection
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2024
When analyzing beams under unsymmetrical loads, such as a train moving on a bridge, it is crucial to accurately determine the points of maximum stress and deflection. The process involves identifying the maximum deflection of the beam, which may not always occur at its midpoint due to the uneven distribution of the load. The maximum deflection occurs at a specific point, known as point O, where the tangent to the deflection curve is horizontal. To find point O, the slope of the tangent at any...
11:27
Magnetically-Assisted Remote Controlled Microcatheter Tip Deflection under Magnetic Resonance Imaging
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Cited by 10 •
2013
Current applied to an endovascular microcatheter with microcoil tip made by laser lathe lithography can achieve controllable deflections under magnetic resonance (MR) guidance, which may improve speed and efficacy of navigation of vasculature during various endovascular procedures.
02:46
Calculating the Equilibrium Constant
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2020
The equilibrium constant for a reaction is calculated from the equilibrium concentrations (or pressures) of its reactants and products. If these concentrations are known, the calculation simply involves their substitution into the Kc expression. For example, gaseous nitrogen dioxide forms dinitrogen tetroxide according to this equation: When 0.10 mol NO2 is added to a 1.0-L flask at 25 °C, the concentration changes so that at equilibrium, [NO2] = 0.016 M and [N2O4] = 0.042 M. The value of the...
FAQs
Flexural rigidity combines Young’s modulus, which represents the material contribution, with the second moment of area, which represents a geometric contribution. In beam calculations, their product, EI, is the stiffness term used to predict displacement. Changing either material properties or cross-sectional geometry therefore changes the calculated response under the same applied loading.
Support conditions determine how a member can move, while loading patterns determine where and how strongly it is driven. A calculation must therefore represent the actual restraints and applied forces rather than treat every beam as identical. These inputs can change both the magnitude and distribution of predicted displacement, which is essential when evaluating serviceability.
Because the second moment of area enters the flexural rigidity term together with Young’s modulus, cross-sectional geometry directly affects a beam’s predicted movement. This allows engineers to study whether changing a component’s shape, rather than changing its material, can improve stiffness. The comparison is useful when designing efficient members while retaining the required structural or machine-component function.
Start by specifying the member’s geometry, material properties, support conditions, applied forces, and loading pattern. For a beam, select an appropriate calculation method, such as Euler-Bernoulli beam theory, then use the flexural rigidity term, EI, to determine the predicted displacement. Organizing these inputs first connects the analytical model to the structural situation being evaluated.
After the displacement is obtained, engineers interpret its magnitude in relation to stiffness, serviceability, and overall structural performance. The result indicates whether the member may experience excessive deformation under the specified loading and support conditions. This interpretation shifts attention from calculation alone to design adequacy, helping guide decisions about geometry, material properties, or structural arrangement.
Applications include beams, shafts, frames, bridges, and machine components. In each case, the calculation connects applied loading and member characteristics to expected movement. Engineers can use that information to evaluate existing designs, compare alternatives, and limit excessive deformation, supporting structures and components that remain reliable and efficient during service.