Explore BrainMass

Method of Joints: Tension or Compression

(a) Find the reactions A and D {see attachment for diagram}
(b) Use the Method of Joints to determine the force in each member. Indicate the magnitude of the force whether the member is in tension or compression.


Solution Preview

Will apply the method of joints, using equilibrium to analyze the joints until we determine the forces in all members.

We first draw the free-body diagram of the whole truss. From the equilibrium consideration (sum of forces = 0.0, sum of moments around any point = 0.0) then:
The axial force at A .... Ax = 0.0.

Dy is the force in y direction at joint D
Dx is the force in x direction at joint D
Dx = 0.0 (this a moving joint in x direction)

Taking the sum of moments around A. ...

Solution Summary

This solution includes calculations and explanation. 280 words.