Determine the maximum inplane shear stress taumax Select one

Determine the maximum in-plane shear stress (tau_max). Select one: 20 Mpa 52 Mpa 32 Mpa 12 Mpa

Solution

GIVEN DATA: Tow_xy=Shear stress in xy direction= 25 MPa Sigma_x=Normal stress= 40 MPa Sigma_y= 0 MPa..... TO FIND: MAXIMUM SHEAR STRESS Tow_max   SSOLUTION: MAX SHEAR STRESS= 1/2×(SQRT(SIGMA_x-SSIGMA_Y)²+ 4×Tow²_xy= 1/2 × SQRT((40²-0²) + 4×25²)= 32.01 MPa. HENCE ANSWER IS C) 32 MPa.