A steel bar
ABC
having two different dimensions is held between rigid supports, as shown in the Figure Q3(a). The modulus of elasticity is 200 GPa , and the coefficient of thermal expansion is
11.7\times (10^(-6))/(\deg )C
. The bar is subjected to a uniform temperature increase of
50\deg C
.
(a) Determine the following quantities:
i. the compressive force
P
in the bar;
ii. the maximum compressive stress
\sigma _(B)
at point
B
;
iii. the displacement
\delta _(B)
of point
B
.
(CO2: PO1 - 19 Marks)
Figure Q3(a)
(b) If the rigid support at A is replaced by an elastic support having spring constant
k=50M(N)/(m)
, as shown in Figure 3(b). Determine the following quantities:
i. the compressive force
P
in the bar;
ii. the maximum compressive stress
\sigma _(B)
at point
B
;
(CO2: PO1 - 6 Marks)
Figure Q3(b)