k a The gambrel truss shown is dimensioned and loaded as ind

k- a The gambrel truss shown is dimensioned and loaded as indicated below Dimensions and Loads: 120 cm 168 cm 36 cm 184 cm 3.8 kN6.5 kN The line of action of force F2 is co-linear with member DG. Member Bl is perpendicular to both Al and Cl; 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 CAI

Solution

Member BC-Force 4.2KN-Stress-4N/mm2 and will have a change of 2/3b

Member CI-Force 2.7KN-Stress-4N/mm2 and will have a change of 2/5b

Member HI-Force 1.2KN-Stress-4N/mm2 and will have a change of 1/5b

Member CH-Force 0KN-Stress-8N/mm2 and will have a change of 0

Member CD-Force 4.2KN-Stress-4N/mm2 and will have a change of 2/3b

Member CG-Force 2.7KN-Stress-4N/mm2 and will have a change of 2/5b

Member GH-Force 1.2KN-Stress-4N/mm2 and will have a change of 1/5b

Since it is mirror image, so the force, stress and change of length will be same as that of left and right.