Hey, I\'m trying to figure out how to get 1 and 2 if givenx and y. Hopefully, th
ID: 1815851 • Letter: H
Question
Hey,I'm trying to figure out how to get 1 and 2 if givenx and y. Hopefully, then I will be able to apply thevon mises (max distortional energy) and/or tresca (max shearstress) failure theory to finish the problem:
determine maximum tensile stress x that can be applied ify = .35x is also applied
and yield stress Y = 50 ksi
and, if you're feeling generious, the same two problems withy = -.35x
Explanation / Answer
case(a) x =x, y =0.35x Y = 50 ksi von mises (max distortional energy): (1-2)2 +(2-3)2 +(3-1)2 =2Y2 (x-0.35x)2+x2+(0.35x)2= 2*502 => x = 56.888 ksi tresca (max shear stress): x =x, y =0.35x, z = 0 max- min =Y x -0 = 50ksi x =50ksi case(b) x =x, y =-0.35x von mises (max distortional energy): (1-2)2 +(2-3)2 +(3-1)2 =2Y2 (x+0.35x)2+x2+(0.35x)2= 2*502 => x = 41.204 ksi tresca (max shear stress): x =x, y =-0.35x, z = 0 max- min =Y x + 0.35x= 50ksi x =37.037ksi