Derive the equation for maximum deformation of a beam in 3 point bending (following steps will be helpful)
a) Fully draw shear force and bending moment diagrams, noting all important values.
b) Develop equations for bending moment as a function of location in the beam (x = 0 at the left support)
c) Develop equations for slope and deformation in the beam and evaluate using boundary conditions.
d) Where does maximum deformation occur?
e) What is the value of maximum deformation?
f) Determine equations for maximum stress and strain in the beam at the location of maximum deformation (in terms of applies load and measured displacement).