Compute the normal stress

Consider the I-beam cross-section:

The table below has the geometric properties for different specifications for a steel beam:

Designation h (in) w (in) Ix (in^4) Iy (in^4)
S8 x 23 8 4.171 64.09 4.31
S8 x 18.4 8 4.001 57.6 3.73
S7 x 20 7 3.86 42.4 3.17
S7 x 15.3 7 3.662 36.7 2.64
S6 x 17.25 6 3.565 26.3 2.31
S6 x 12.5 6 3.332 22.1 1.82
S5 x 14.75 5 3.284 15.2 1.67
S5 x 10 5 3.004 12.3 1.22
S4 x 9.5 4 2.796 6.79 0.903
S4 x 7.7 4 2.663 6.08 0.764

For the beam designations indicated below, determine the maximum normal stress $\sigma_x$ assuming that the maximum moment is equal to $M_{max} = 7 \times 10^5 \rm\ lb \cdot in$.

Designation $\sigma_x$
S6 x 12.5
S7 x 15.3
S6 x 17.25
S4 x 7.7

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Compute the normal stress

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Started at:
2026-09-19 10:15:04 (CDT)
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{
  "sigma1": 95.02262443438913,
  "sigma2": 66.7574931880109,
  "sigma3": 79.84790874524714,
  "sigma4": 230.26315789473685
}
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