Match the following failure theories with the yield strength in shear to the yield strength in tension. (Take µ = 0.3)
| Failure Theory | Ratio of \(\frac{S_{ys}}{S_{yt}}\) | ||
| A |
Maximum principal stress theory |
I |
\(\frac{S_{ys}}{S_{}yt}=0.62\) |
| B |
Maximum shear stress theory |
II |
\(\frac{S_{ys}}{S_{}yt}=0.577\) |
| C |
Maximum distortion energy theory |
III |
\(\frac{S_{ys}}{S_{}yt}=0.5\) |
| D |
Maximum principal strain theory |
IV |
\(\frac{S_{ys}}{S_{}yt}=1\) |
| E |
Maximum strain energy theory |
V |
\(\frac{S_{ys}}{S_{}yt}=0.77\) |
1
A - III, B - II, C - I, D - V, E - IV
2
A - IV, B - III, C - V, D - I, E - II
3
A - IV, B - III, C - II, D - V, E - I
4
A - II, B - III, C - I, D - V, E - IV