At Its Free End $\left( \sigma _ { 1 } / \sigma _ { 2 } \right)$

Multiple Choice

$$\text { A cantilever beam with rectangular cross section } ( b = 95 \mathrm {~mm} , h = 300 \mathrm {~mm} ) \text { supports load } P = 160 \mathrm { kN }$$ at its free end. The ratio of the magnitudes of the principal stresses $\left( \sigma _ { 1 } / \sigma _ { 2 } \right)$ at point $A$ (at distance $c = 0.8 \mathrm {~m}$ from the free end and distance $d = 200 \mathrm {~mm}$ up from the bottom) is approximately:

A) 5
B) 12
C) 18
D) 25