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raymanmusic
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How do I find deflection (displacement) in point C at the end of the beam? Answer is to be given in mm. There is a roller connection (only Fy) in B and an external pin in A (Fy and Fx).
The deflection in a beam can be calculated using the Euler-Bernoulli beam equation, which takes into account the beam's material properties, dimensions, and loading conditions. Alternatively, it can also be calculated using finite element analysis software.
The deflection in a beam is affected by several factors including the beam's material, dimensions, support conditions, and the magnitude and location of the applied load. Other factors such as temperature changes and moisture content can also affect deflection.
To determine the maximum deflection in a beam, the beam's bending moment and shear force diagrams must be first calculated. The maximum deflection occurs at the location where the bending moment is the highest. This can be found by taking the second derivative of the deflection equation.
The acceptable limits for deflection in a beam depend on the specific application and building codes. Generally, deflections that do not exceed the beam's span/360 or span/500 are considered acceptable. It is important to consult with a structural engineer to determine the appropriate deflection limits for your project.
Yes, the stiffness of a beam can be increased by using a stiffer material, increasing the beam's cross-sectional area, or adding additional support. However, it is important to consider the added weight and potential cost implications of increasing the stiffness of a beam.