- #1
Amy54
- 12
- 0
Homework Statement
what is the bending moment formula? is it related to the pure bending formula? what's that?
Homework Equations
The Attempt at a Solution
is the formula 1/p=M/EI?
Amy54 said:its not a question it is a part of a physics assignment of beam deflection.. i am trying to show for the formula (force x length^3)/(4 x young’s modulus x breadth x thickness^3) was derived. i know it was done through integration and the combining of the bending moment formula and the Torque formula (T=fr)...
Amy54 said:Homework Statement
what is the bending moment formula? is it related to the pure bending formula? what's that?
Homework Equations
The Attempt at a Solution
is the formula 1/p=M/EI?
Yes ...that's what I pointed out, didn't I?stewartcs said:Start with the Euler-Bernoulli Beam equation, and specifiy your boundary and loading conditions.
http://en.wikipedia.org/wiki/Euler-Bernoulli_beam_equation
CS
The bending moment formula is a mathematical equation used to calculate the amount of bending stress experienced by a structural element, such as a beam or column. It represents the force or torque applied to the element that causes it to bend.
The bending moment formula is derived from the fundamental principles of mechanics, specifically the equations of equilibrium. It takes into account the external forces acting on the structural element and the internal stresses caused by those forces.
The units of measurement for the bending moment formula will depend on the specific system of units being used. In the SI system, the units are newton-meters (N·m). In the US customary system, the units are pound-feet (lb·ft).
The bending moment formula is an essential tool in structural engineering for designing and analyzing structural elements. It allows engineers to determine the maximum stress that a structural element can withstand and to ensure that it is strong enough to support the applied loads.
Like any mathematical formula, the bending moment formula is based on certain assumptions and limitations. It assumes that the structural element is homogeneous, isotropic, and free of any defects. It also assumes that the material follows Hooke's Law and that the element is subjected to static loading conditions.