How do we know that kl /r =104??PhanthomJay said:
Euler's formula in beam is a mathematical equation that describes the relationship between the bending moment, shear force, and the elastic properties of a beam. It is named after Swiss mathematician Leonhard Euler.
Euler's formula is used in structural engineering to determine the load-carrying capacity of a beam and to design safe and efficient structures. It helps engineers calculate the maximum stress and deflection of a beam under different loading conditions.
The assumptions made in Euler's formula include: the beam is made of a homogeneous, isotropic material, it is initially straight and has a constant cross-section, and the deflections are small compared to the length of the beam.
No, Euler's formula is only applicable to beams with a constant cross-section and supported at both ends. For other types of beams, more complex equations and methods are used.
Euler's formula provides a good estimate of the beam's behavior for small deflections, but it becomes less accurate for larger deflections. This is because the formula does not take into account factors such as material nonlinearity and geometric imperfections that can affect a beam's behavior in real-life scenarios.
