Stresses & Strains: Solving for W & F on Steel Pillar

[ELB.x]

Homework Statement

A 45 degree strain rosette is fixed to a short rectangular section pillar. The gauge reads ε_a =72x10^6, ε_b=100x10^6, ε_c=-240x10^-6. What are the values of W and F?
The cross section area is 600mm² and is made out of steel which E=207GN/m² and v=0.3. The maximum shear stress for the section of the pillar is 1.5 times the average shear stress.

 

[nilesh_pat]

Homework EquationsW=E×A×ε F=(P×L)/(2×A)The Attempt at a SolutionI know that εa is normal strain, εb is axial strain, and εc is shear strain but I am not sure how to use that information. Also, I am not sure how the maximum shear stress relates to the problem.