What definition of moment are you using?chetzread said:Homework Statement
for the first line of solution , i don't undertsand why the author only include one P/2 force only...
Homework Equations
The Attempt at a Solution
I think it should be EIy" = 0.5Px -P(x-0.5L) -0.5P(L-x) , am i right?
Moment about point xpongo38 said:
That is not a definition. see my reply to another of your questionschetzread said:
i am using the first one (algebraic sum of the moments on ONE SIDE of the section.pongo38 said:
how does this question related to the question that i asked in another thread?pongo38 said:
A beam moment solution refers to the process of finding the value of EIy, which represents the flexural rigidity of a beam, in order to determine the maximum bending moment caused by a P/2 force acting on the beam. This solution is a crucial step in analyzing the structural integrity and stability of a beam.
The formula for calculating EIy for a P/2 force in a standard beam is EIy = (P * L^2)/8, where P is the force applied and L is the length of the beam. This formula is derived from the Euler-Bernoulli beam theory and takes into account the beam's material properties and geometry.
Finding EIy for a P/2 force is essential in determining the maximum bending moment that a beam can withstand without failing. This information is crucial in the design and construction of structures, such as buildings and bridges, to ensure their safety and stability.
The value of EIy can be affected by various factors, including the material properties of the beam, its cross-sectional shape and dimensions, and the magnitude and location of the P/2 force. The type of support and the load distribution along the beam can also impact the value of EIy.
Yes, the beam moment solution can be applied to any type of beam, as long as the beam follows the assumptions of the Euler-Bernoulli beam theory. This includes having a linear elastic material, small deflections, and negligible shear deformation. However, for more complex beam structures, other methods such as the finite element analysis may be more appropriate.