Question

The vertical displacement of joint C of the truss as shown in the figure given below is __________ mm.
[Take cross-sectional area of each member as 300 mm${}^2$ and $E=200GPa$]

• A. 0.18

Answer 1

The correct option is A 0.18

To calculate the vertical displacement of joint C, we apply a vertical unit load at joint C.

Member	P (in kN)	K (in kN)	L (in m)	PKL
AB	+2	0.667	8	10.67
AC	+2.5	-0.833	5	-10.41
BC	-2.5	-0.833	5	10.41
				$\sum =10.67kNm$

Vertical deflection at joint C,

$\Delta C_v=\frac{\sum PKL}{AE}=\frac{10.67\times {10}^6}{300\times 200\times {10}^3}=0.178mm\simeq 0.18mm$