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HW3.5. 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)
S24 x 100	24	7.425	2,390	47.7
S24 x 90	24	7.125	2,250	44.9
S24 x 80	24	7	2,100	42.2
S20 x 96	20.3	7.2	1,670	50.2
S20 x 86	20.3	7.06	1,580	46.8
S20 x 75	20	6.385	1,280	29.8
S20 x 66	20	6.255	1,190	27.7
S18 x 70	18	6.251	926	24.1
S18 x 54.7	18	6.001	804	20.8
S15 x 50	15	5.64	486	15.7

For the beam designations indicated below, determine the maximum normal stress $\sigma_x$ assuming that the maximum moment is equal to $M_{max} = 4 \times 10^5 \rm\ lb \cdot in$.

Designation	$\sigma_x$
S24 x 90
S18 x 54.7
S24 x 80
S18 x 70

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Homework 3

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demo/annotated/engBeamStress

Title:

Compute the normal stress

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Started at:

2026-08-04 16:39:15 (CDT)

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{
  "sigma1": 2.1333333333333333,
  "sigma2": 4.477611940298507,
  "sigma3": 2.2857142857142856,
  "sigma4": 3.8876889848812093
}

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