ASSIGNMENT # $1$ FORMULATION OF DESIGN PROBLEM

Consider the cantilever beam with triangular cross section shown blew

which is made of construction steel $(=7800\frac{kg}{m^3}).$ The beam is to

be designed to carry a concentrated load $P=45kN$ at its tip. Construct

the design space for this beam and establish graphically the minimum

cross sectional area subject to the following behavioral and design

constraints;

$1-$Maximum tensile and compressive stress $=165\mathrm{.}5$MPa

$2-$Maximum shearing stress $=100\mathrm{.}0$MPa

$3-$Maximum allowable deflection $=8\mathrm{.}5mm$

$4-$Depth$/$ width ratio $7$

Cantilever beam and traingular cross section