asymmetric gambrel 01

The gambrel truss shown is dimensioned and loaded as indicated below.

Dimensions and Loads:

a	b	c	d	$F_1$	$F_2$
130 cm	182 cm	52 cm	218 cm	4 kN	5.9 kN

The line of action of force $F_2$ is co-linear with member DG. Member BI is perpendicular to both AI and CI; member DG is perpendicular to both CG and EG. Find the forces and stresses carried in the members indicated in the table below, as well as their changes in length, given that their cross-sectional areas are given in the table, and that they are constructed with air-dry Douglas fir timbers.

Reactions:
(Denote rightward or upward forces applied to the truss as positive; leftward or downward forces applied to the truss as negative.)

$R_{A_{horizontal}}$
$R_{A_{vertical}}$
$R_{E_{vertical}}$

Members:
(Denote tension forces, tensile stresses, and elongations with positive values; compressive forces, compressive stresses and compactions with negative values.)

Member	Cross- Sectional Area $(cm^2)$	Force	Stress	Change in Length
$BC$	29
$CI$	25
$HI$	29
$CH$	29
$CD$	29
$CG$	25
$GH$	29

be sure to include units with your answers