7.1: for the given state of stress , determine the normal and the shearing stress exerted on the oblique face of yhe shaded triangular element shown . use a method of analysis based on the equlibrium of thar elelment
solution:
stress(X)=27 MPA stress(Y)= -45 MPA Txy=-18 MPA
stress=(stressX+stressY/2)+(stressX-stressY/2)cos2$+Txy sin2$ stress=(27-45/2)+(27+45/2)cos 150-18 sin 150 stress=- 49.2 MPA
T=(stressY-stressX/2)sin 2$+Txy cos 2$ T=945-27/2) sin 150 -18 cos 150 T=20.008 MPA
triangular element shown . use a method of analysis based on the equlibrium of thar elelment
stress(X)=27 MPA
stress(Y)= -45 MPA
Txy=-18 MPA
stress=(stressX+stressY/2)+(stressX-stressY/2)cos2$+Txy sin2$
stress=(27-45/2)+(27+45/2)cos 150-18 sin 150
stress=- 49.2 MPA
T=(stressY-stressX/2)sin 2$+Txy cos 2$
T=945-27/2) sin 150 -18 cos 150
T=20.008 MPA