A 45° off-axis tensile test specimen has three strain gages attached. Two of the gages are mounted as shown in Figure 2.15 so as to measure the normal strains ε x and ε y , and a third gage is mounted...

A 45° off-axis tensile test specimen has three strain gages attached. Two of the gages are mounted as shown in Figure 2.15 so as to measure the normal strains ε_x
and ε_y, and a third gage is mounted at θ = 45° so as to measure the normal strain ε₁. If the applied stress σ_x
= 100 MPa and the measured strains are ε_x
= 0.00647, ε_y
= −0.00324 and ε₁
= 0.00809, determine the off-axis modulus of elasticity Ex, the off-axis major Poisson’s ratio ν_xy
and the shear coupling ratio η_x,xy.