A rod consisting of two cylindrical portions $A B$ and $BC$ is restrained at both ends. Portion $A B$ is made of steel $(E_{5} = 200 GP a$ and $a_{5} =$ $11.7 \times 1 0^{? 6} / C)$ and portion $BC$ is made of brass $(E_{b} = 105 GPa$ and $a_{b} = 20.9 \times 1 0^{? 6} / C)$ . Knowing that the rod is initially unstressed, determine the magnitude of the compressive force induced in $A BC$ when there is a temperature rise of $5 5^{?} C$ . The magnitude of the compressive force induced in $A BC$ is $kN$ .

Question

A rod consisting of two cylindrical portions

A B

and

BC

is restrained at both ends. Portion

A B

is made of steel

(E_{5} = 200 GP a

and

a_{5} =

11.7 \times 1 0^{? 6} / C)

and portion

BC

is made of brass

(E_{b} = 105 GPa

and

a_{b} = 20.9 \times 1 0^{? 6} / C)

. Knowing that the rod is initially unstressed, determine the magnitude of the compressive force induced in

A BC

when there is a temperature rise of

5 5^{?} C

. The magnitude of the compressive force induced in

A BC

is

kN

.

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