1-12.  A force with a distribution of P ~ N(45, 5²) kN is applied to point C on the truss. If each bar has a diameter of d = 17 mm, find the distribution of the normal stress in member AB. Given that = 2.25 m and  = 1.9 m.

Solution

Free Body Diagrams

Take the sum of the forces on point C

Take the sum of the forces on point B

Find the cross-sectional area of the bar

 m²

Solving for the normal stress in member AB

 MPa

 MPa

Then

 MPa