Definitions /Dictionary/Glossary - nptel

Resultants:
Equilibrium:
To relate the beam's out-of-plane displacement w to its pressure loading ‘p’, we combine the
results of the four beam sub-categories in the order shown,
Kinematics →Constitutive →Resultants →Equilibrium=Beam
Equation
We'll demonstrate this hierarchy by working backwards. We first combine the 2 equilibrium
equations to eliminate ‘V’,
Next replace the moment resultant ‘M’ with its definition in terms of the direct stresses,
Use the constitutive relation to eliminate s in favor of the strain ‘e’, and then use kinematics to
replace ‘e’ in favor of the normal displacement ‘w’,