Two steel rods $AB$ and $CD(E=210$GPa$)$ have to support a vertical load $P$ applied at

the rigid bar $BD$ as shown in the figure. Each steel rod has a cross$-$sectional area of

$210\mathrm{.}5$ mm $2.$ The column EF is made of steel and has a cross$-$sectional area of $1200$

mm $2.$ There is a clearance of $4$ mm between the rigid bar BD and the column EF$.$

Determine:

a$)$ Stress at rods $AB,CD,$ and column EF when

the load points$].$

b$)$ Stress at rods $AB,CD,$ and column EF when

the load points$].$

c$)$ Stress at rods AB$,$ CD and column EF when

the load $P=200kN$ and the whole structure

experience a temperature increase of $50C.$

Consider a thermal expansion coefficient for all

elements of points$].$

NOTE: Do not consider stresses around the pin

location when you determine the stresses at the

rods. Get stresses only at the main body of the rods