Astrain gauge rosette is applied to a structure which is then loaded. one of the gauges, a, which is aligned in a reference, x, direction records a strain of 400 he when the structure is loaded. the other two gauges, b and c, which are positioned at 45° and 75° counterclockwise to the first gauge simultaneously record strains of 150με and 50με respectively. using the strain transformation equations determine the values of the principal strains at the point in the structure where the gauges are located. assuming that a state of plane stress exists within the structure determine the corresponding values of the maximum principal stress at this point. take young's modulus as 70gpa and poisson's ratio as 0.25.