Tutorial XI

Overconstrained structures

Figure XI$\mathrm{.}1$: Beam.

$($a$)$ Draw three possible equivalent isostatic systems;

$($b$)$ Choose one of these systems to solve the structure, and provide a reason for your choice;

$($c$)$ Solve the structure: compute the internal moment and the elastic curve, and plot them.

Problem XI$.2$ Consider the ham in Fimuse YI$?$

$($a$)$ Draw three possible equivalent isostatic systems;

$($b$)$ Choose one of these systems to solve the structure;

$($c$)$ Compute the internal moment and the elastic curve, and plot them.

Problem XI$.3$ Consider the continuous beam in Figure XI$\mathrm{.}3.$

$($a$)$ Draw three possible equivalent isostatic systems;

$($b$)$ Choose one of these systems to solve the structure, and provide a reason for your choice;

$($c$)$ Solve the structure: compute the internal moment and the elastic curve, and plot them.

Problem XI$.4$ Consider the frame in Firure XI$.4.$

$($a$)$ Choose an equivalent isostatic system to solve the structure, and provide a reason for your

choice;

$($b$)$ Solve the structure: compute the internal moment and the elastic curve, and plot them.