Sazid Ahmad answered 1 year ago
Step: 1
Draw the free body diagram of the entire truss.
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Step: 2
Calculate the angle 
from the geometry of the figure.
Calculate the angle 
from the geometry of the figure.
Step: 3
Apply the equilibrium condition along the vertical direction.
Consider the moment about A.
Now apply the equilibrium condition along the horizontal direction.
Step: 4
Draw the free body diagram of the joint A:
Step: 5
Apply the equilibrium condition along the horizontal axis.
Substitute 
for 
Therefore, the force acting in the member AB is 
.
Step: 6
Apply the equilibrium condition along vertical direction.
Substitute 
for 
.
Therefore, the force acting in the member AE is 
.
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Step: 7
Consider the force at joint point E:
Step: 8
Apply the equilibrium condition along the horizontal direction.
Substitute 
for 
,
for 
and 
for 
.
…… (1)
Step: 9
Apply the equilibrium condition along the y direction.
Substitute 
for 
,
for 
and 
for 
…… (2)
Step: 10
Solve the equations (2) and (1) to get the forces in members BE and EF.
Therefore, the tensile force acting in the member EF is
.
Therefore, the compressive force acting in the member BE is 
.
Step: 11
Consider the forces acting at joint B:
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Step: 12
Apply the equilibrium condition along the vertical direction.
Substitute 
for 
,
for 
and 
for 
.
Therefore, the force acting in the member BC is 
.
Step: 13
Apply the equilibrium condition along the horizontal direction.
Therefore, the tensile force acting in the member BF is 
.
Step: 14
Consider the triangles 
and 
.
Now consider the triangle 
.
Step: 15
Consider the forces acting at point F:
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Step: 16
Consider the equilibrium condition along the x direction.
Substitute 
for 
,
for 
and 
for 
. 
…… (3)
Apply the equilibrium condition along vertical direction.
Substitute 
for 
,
for 
,
for 
and 
for 
.
…… (4)
Step: 17
Solve the equation (3) & (4).
Therefore, the tensile force acting in the member FG is 
.
Therefore, the tensile force acting in the member CF is 
.
Step: 18
Free body diagram of the joint C:
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Step: 19
Apply the equilibrium condition.
Therefore, the tensile force acting in the member CD is 
.
Step: 20
Apply the equilibrium condition.
Therefore, the compressive force acting in the member CG is 
.
Step: 21
Free body diagram of the joint D
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Step: 22
Apply the equilibrium condition.
Therefore, the compressive force acting in the member DG is 
.