Strain Gage Rosette on Bracket

In order to determine the load P and its location s, a strain gage rosette is attached to the circular bar near the wall. Each gage is oriented 120^o apart as shown.

What is known:

• When loaded, the gages report strains of
       ε_a = 224.8 μ
       ε_b = -118.3 μ
       ε_c = 132.9 μ
  
• Assume the strain gage rosette is at the wall.
• The bracket material is steel, E = 29,000 ksi and ν = 0.29.

What is the load P and distance s?

• Determine the strains in the x-y coordinate system.
• Calculate the stresses from the strains.
• Find the bending stress and the twisting stress caused by the offset load P.