TOPIC $-$ Elastic Plastic Bending

Beam ABCD is pin$-$supported and roller$-$supported at points A and $C,$ respectively; as shown in Figure $A.$ It is made with a hollow$-$rectangle cross section, as shown in Figure B$.$ The beam has yield stress value of ${}_Y$ and modulus of elasticity value of $E.$ The beam is subjected to a linearly$-$distributed load $w$ between point $B$ and point $D,$ which is sufficient to cause beam ABCD to undergo different cases of elastic and plastic bending, as shown by CASES $1$ through $4.$

TOPIC $-$ Elastic Plastic Bending

Note that:

Magnitude and distance of distributed load $w$ is variable $($therefore$,$ distance $BCD$ is also variable$)$

Total length of beam ABCD is fixed.

Outer dimensions of the beam cross section, a and $c$ are fixed, but the inner dimension $b$ and $d$ are variable.

The Task

Write an interactive MATLAB program which can be determine the following values as output based on the following user inputs :

$\backslash$table$[[$Input$,$Output$],[\backslash$table$[[-$ Beam lengths, $L_{AB},L_{BC},L_{CD}$

The Task

Write an interactive MATLAB program which can be determine the following values as output based on the following user inputs :

$\backslash$table$[[$Input$,$Output$],[\backslash$table$[[-$ Beam lengths, $L_{AB},L_{BC},L_{CD}$