Requiredintormation

Two solid cylindrical rods $AB$ and $BC$ are welded together at $B$ and loaded as shown. Knowing that the magnitude of the

average normal stress must not exceed $170$ MPs in either rod, determine the smallest allowable values of the

diameters d$1$ and d$2.$ Take $P=75kN$ and $Q=130kN.$

Internal reaction force

FBDs

$($a$)$ magnitude of the internal reaction force PAB $=75kN.$

$($b$)$ magnitude of the internal reaction force $PBC=185kN.$

Axlal stresses

For the given allowable stress $170$ Mpo $,$ the required diameter between

$($a$)A8B$ is given $s$

$($b$)B$&$C$ is given $8s$

$(mm)$

$P_{BC}=2Q-P$

$F_x=0_{?}$

$C=2Q-P$

$P_{AB}=P$

$(mm)$