Question

What is the degree of the governing differential equation for bars/beams?

Answer 1

hay mate here is your answer

1) bars

= this is the so called differential approach, which establishes a continuous differential equations as the governing eqution of the problem, termed the strong form . consider and infinitesimal element of the bar:given:length L, section area A,Young's modulus E.

2)beams

=but for the deflected shape of the beam the slope I at any point C is defined ,This is the differential equation of the elastic line for a beam subjected to bending in the plane of symmetry.Its solution y = f(x) defines the shape of the elastic line or the deflection curve as it is frequently called.