Chapter 3

Problem 16

Determine the force in each member of the roof truss. State if the members are in tension or compression. Assume there is no external load on joints J, H, and G and only the vertical load of 3k exists on joint I.

Scan of Hand Calculations

Joint A

Joint J

Joint B

Joint C

Joint F

Joint G

Model with Applied Loads

Tables

(The yellow areas are in tension, while the red areas are in compression.)

Results

My handwritten calculations are the same as my generated calculations.

FAB= 1.6k (Tension)

FAJ= 2.56k (Compression)

FJI= 2.56k (Compression)

FJB= 0

FBI= 0

FBC=1.6k (Tension)

FCI= 0

FCD= 1.6k (Tension)

FFG= 1.89k (Compression)

FFE= 1.6k (Tension)

FGH=1.89k (Compression)

FGE= 0

FEH= 0

FED= 1.6k (Tension)

FHI= 1.89k (Compression)

FHD= 0

FDI= 0

FDC= 1.6 (Tension)