$\backslash$table$[[$Student$,\backslash$table$[[$Beam$],[$Number$]],$F$,$ KN$,$l$,$m$,$a$,$b$,$oy$,$ MRa.,$\backslash$table$[[$Safety$],[$Factor$]]],[,14,28,0\mathrm{.}9,1,1,290,1\mathrm{.}4]]$

Statically Indeterminate Continuous Beam Assignment Number $4$

Find the statically indeterminate continuous beam assigned to you below: Assume that moment $m=Fl(F$ and I to be taken from the table$).$ Assume E $=200$ GPa

Task Description

Marks

For the statically indeterminate continuous beam individually assigned in Assignment $4$:

Determine the degree of static indeterminacy. What is the maximum number of plastic hinges that this beam can theoretically sustain before full collapse?

Using the kinematic method of plastic analysis determine the limiting load factor $$ for the given loads $($Take dimensions for the square cross section from Assignment $4).$

How many plastic hinges will lead to the collapse of this beam in reality and where will they be located? Will it be partial or complete collapse?

Compare the value of the limiting shape factor for the original square cross$-$section, the same square cross$-$section tilted $45$ degrees $($rhombus$),$ and the optimised cross$-$section chosen in Assignment $4.$ Formulate your conclusion.

$1$

$2$

$1$

$1$

Tot $5$