Question

For a cantilever bridge with a center bridge span if w(x) is the height of the bridge span (where x=0 is the leftmost edge of the bridge span and x=1800) is the rightmost edge of the bridge span, which derivative represents each physical interpretation:
Slope of the Bridge Span
Curvature of the Bridge Span
Shear Force of the Bridge Span

explain your reasoning.

Answer 1

W(x) is the weight of the bridge span.

Suppoert reactions are found out.

Then equation for shear and moment are written.

Then by integration method equations for slope and curvature are found out and constants are solved using boundary conditions.

Solution is uploaded below.