A brass plate with a modulus of elasticity E = 110 GPa and Poisson’s ratio v = 0.34 is loaded in biaxial stress by normal stresses x and y (see figure). A strain gage is bonded to the plate at an...

A brass plate with a modulus of elasticity E = 110 GPa and Poisson’s ratio v = 0.34 is loaded in biaxial stress by normal stresses

_x
and

_y
(see figure). A strain gage is bonded to the plate at an angle f = 35⁰.

If the stress
_x
is 74 MPa and the strain measured by the gage is
 = 390
 10^-6, what is the maximum in-plane shear stress (
_max)
_xy
and shear strain (
_max)_xy? What is the maximum shear strain (
_max)
_xz
in the x z- plane? What is the maximum shear strain (
_max)
_yz
in the y z- plane?