Determine the force in each member of the truss Use F10N and

Determine the force in each member of the truss. Use F=10N and a=20cm.

8.6 Determine the force in each member of the truss. Use F ON and

Solution

solution:

now let solve this problem by method of joint by considering equillibrium in x and y direction

Fx=0

Fy=0

M=0

1)taking moment about A
F*.4-Re*.2=0
Re=20N
2)here FX=0
Ax+F=0
F=-10 N
Fy=0
Ay+Rey=0
Ay=-20 N
3)at point A
RA=(Ax^2+Ay^2)^.5=22.36
angle=63.43
3)at point A

Fx=0
-Racos63.43+Facsin45=0
Fac=14.14 N
Fy=0
-Rasin63.43+Fag+Faccos45=0
Fag=10 N

3)let now at point F

Fx=0

Ffe+F=0

Ffe=-10 N

Fy=0

Ffg=0

4)at point G

Fy=0

Fag+Ffg+Fgesin45=0

Fge=-14.14 N

Fx=0

Fgc+Fgecos45=0

Fgc=10 N

5)noe for pointE

Fx=0

-Ffe+Fed-Fgecos45=0

Fed=20 N

Fy=0

Re-Fgesin45-Fec=0

Fec=10 N

6)npw for pointD

Fx=0

Fed+Fcdcos45=0

Fcd=-28.28 N

7)now at point C for cross check answer

fx=0

fgc+Faccos45-Fcdsin45=0

hence solution is right

8)forces in each member

Fag=10 N

Fac=14.14 N

Fgc=10 N

Fge=-14.14 N

Ffe=-10 N

Ffg=0 N

Fed=20 N

Fec=10 N

Fcd=-28.28 N