eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Four Equal Spans: S Section Steel I Beam: S6 × 12.5

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S6 × 12.5

S Section Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max

occuring at the second and fourth supports of the beam.

The tabulated data listed in this page are calculated based on the area moment of inertia (I_xx = 22.1 in⁴) for the S6 × 12.5 S Section Steel I Beam and the typical Young's modulus (E = 3.046 × 10⁷ psi) of steels. Note that the typical yielding stress Yield

of steels can range from 1.015 × 10⁴ to 2.970 × 10⁵ psi. The purpose of this page is to give a rough estimation of the load-bearing capacity of this particular beam, rather than a guideline for designing actual building structures. Please check your local building codes for regulatory requirements.

Note: The weight of the beam itself is not included in the calculation.

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(psi)
12.5	1.64 × 10^-5	19.6
20.0	2.62 × 10^-5	31.4
30.0	3.93 × 10^-5	47.1
40.0	5.24 × 10^-5	62.8
50.0	6.55 × 10^-5	78.5
60.0	7.86 × 10^-5	94.2
70.0	9.17 × 10^-5	110
80.0	1.05 × 10^-4	126
90.0	1.18 × 10^-4	141
100	1.31 × 10^-4	157
200	2.62 × 10^-4	314
300	3.93 × 10^-4	471
400	5.24 × 10^-4	628
500	6.55 × 10^-4	785
600	7.86 × 10^-4	942
700	9.17 × 10^-4	1100
800	0.00105	1260
900	0.00118	1410
1000	0.00131	1570
2000	0.00262	3140
3000	0.00393	4710
4000	0.00524	6280
5000	0.00655	7850
6000	0.00786	9420
7000	0.00917	1.10 × 10⁴
8000	0.0105	1.26 × 10⁴
9000	0.0118	1.41 × 10⁴
1.00 × 10⁴	0.0131	1.57 × 10⁴
2.00 × 10⁴	0.0262	3.14 × 10⁴
3.00 × 10⁴	0.0393	4.71 × 10⁴
4.00 × 10⁴	0.0524	6.28 × 10⁴
5.00 × 10⁴	0.0655	7.85 × 10⁴
6.00 × 10⁴	0.0786	9.42 × 10⁴
7.00 × 10⁴	0.0917	1.10 × 10⁵
8.00 × 10⁴	0.105	1.26 × 10⁵
9.00 × 10⁴	0.118	1.41 × 10⁵
1.00 × 10⁵	0.131	1.57 × 10⁵
1.89 × 10⁵	0.248	2.97 × 10⁵

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 5.00 ft
(lbf/ft)	(in)	(psi)
12.5	1.26 × 10^-4	54.5
20.0	2.02 × 10^-4	87.2
30.0	3.03 × 10^-4	131
40.0	4.04 × 10^-4	174
50.0	5.05 × 10^-4	218
60.0	6.06 × 10^-4	262
70.0	7.08 × 10^-4	305
80.0	8.09 × 10^-4	349
90.0	9.10 × 10^-4	393
100	0.00101	436
200	0.00202	872
300	0.00303	1310
400	0.00404	1740
500	0.00505	2180
600	0.00606	2620
700	0.00708	3050
800	0.00809	3490
900	0.00910	3930
1000	0.0101	4360
2000	0.0202	8720
3000	0.0303	1.31 × 10⁴
4000	0.0404	1.74 × 10⁴
5000	0.0505	2.18 × 10⁴
6000	0.0606	2.62 × 10⁴
7000	0.0708	3.05 × 10⁴
8000	0.0809	3.49 × 10⁴
9000	0.0910	3.93 × 10⁴
1.00 × 10⁴	0.101	4.36 × 10⁴
2.00 × 10⁴	0.202	8.72 × 10⁴
3.00 × 10⁴	0.303	1.31 × 10⁵
4.00 × 10⁴	0.404	1.74 × 10⁵
5.00 × 10⁴	0.505	2.18 × 10⁵
6.00 × 10⁴	0.606	2.62 × 10⁵
6.81 × 10⁴	0.688	2.97 × 10⁵

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 10.0 ft
(lbf/ft)	(in)	(psi)
12.5	0.00202	218
20.0	0.00323	349
30.0	0.00485	523
40.0	0.00647	698
50.0	0.00809	872
60.0	0.00970	1050
70.0	0.0113	1220
80.0	0.0129	1400
90.0	0.0146	1570
100	0.0162	1740
200	0.0323	3490
300	0.0485	5230
400	0.0647	6980
500	0.0809	8720
600	0.0970	1.05 × 10⁴
700	0.113	1.22 × 10⁴
800	0.129	1.40 × 10⁴
900	0.146	1.57 × 10⁴
1000	0.162	1.74 × 10⁴
2000	0.323	3.49 × 10⁴
3000	0.485	5.23 × 10⁴
4000	0.647	6.98 × 10⁴
5000	0.809	8.72 × 10⁴
6000	0.970	1.05 × 10⁵
7000	1.13	1.22 × 10⁵
8000	1.29	1.40 × 10⁵
9000	1.46	1.57 × 10⁵
1.00 × 10⁴	1.62	1.74 × 10⁵
1.70 × 10⁴	2.75	2.97 × 10⁵

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 15.0 ft
(lbf/ft)	(in)	(psi)
12.5	0.0102	491
20.0	0.0164	785
30.0	0.0246	1180
40.0	0.0328	1570
50.0	0.0409	1960
60.0	0.0491	2360
70.0	0.0573	2750
80.0	0.0655	3140
90.0	0.0737	3530
100	0.0819	3930
200	0.164	7850
300	0.246	1.18 × 10⁴
400	0.328	1.57 × 10⁴
500	0.409	1.96 × 10⁴
600	0.491	2.36 × 10⁴
700	0.573	2.75 × 10⁴
800	0.655	3.14 × 10⁴
900	0.737	3.53 × 10⁴
1000	0.819	3.93 × 10⁴
2000	1.64	7.85 × 10⁴
3000	2.46	1.18 × 10⁵
4000	3.28	1.57 × 10⁵
5000	4.09	1.96 × 10⁵
6000	4.91	2.36 × 10⁵
7000	5.73	2.75 × 10⁵
7570	6.20	2.97 × 10⁵

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 20.0 ft
(lbf/ft)	(in)	(psi)
12.5	0.0323	872
20.0	0.0518	1400
30.0	0.0776	2090
40.0	0.104	2790
50.0	0.129	3490
60.0	0.155	4190
70.0	0.181	4880
80.0	0.207	5580
90.0	0.233	6280
100	0.259	6980
200	0.518	1.40 × 10⁴
300	0.776	2.09 × 10⁴
400	1.04	2.79 × 10⁴
500	1.29	3.49 × 10⁴
600	1.55	4.19 × 10⁴
700	1.81	4.88 × 10⁴
800	2.07	5.58 × 10⁴
900	2.33	6.28 × 10⁴
1000	2.59	6.98 × 10⁴
2000	5.18	1.40 × 10⁵
2320	6.00	1.62 × 10⁵

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 25.0 ft
(lbf/ft)	(in)	(psi)
12.5	0.0790	1360
20.0	0.126	2180
30.0	0.190	3270
40.0	0.253	4360
50.0	0.316	5450
60.0	0.379	6540
70.0	0.442	7630
80.0	0.505	8720
90.0	0.569	9810
100	0.632	1.09 × 10⁴
200	1.26	2.18 × 10⁴
300	1.90	3.27 × 10⁴
400	2.53	4.36 × 10⁴
500	3.16	5.45 × 10⁴
600	3.79	6.54 × 10⁴
700	4.42	7.63 × 10⁴
800	5.05	8.72 × 10⁴
900	5.69	9.81 × 10⁴
950	6.00	1.04 × 10⁵

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 30.0 ft
(lbf/ft)	(in)	(psi)
12.5	0.164	1960
20.0	0.262	3140
30.0	0.393	4710
40.0	0.524	6280
50.0	0.655	7850
60.0	0.786	9420
70.0	0.917	1.10 × 10⁴
80.0	1.05	1.26 × 10⁴
90.0	1.18	1.41 × 10⁴
100	1.31	1.57 × 10⁴
200	2.62	3.14 × 10⁴
300	3.93	4.71 × 10⁴
400	5.24	6.28 × 10⁴
458	6.00	7.19 × 10⁴

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 40.0 ft
(lbf/ft)	(in)	(psi)
12.5	0.518	3490
20.0	0.828	5580
30.0	1.24	8370
40.0	1.66	1.12 × 10⁴
50.0	2.07	1.40 × 10⁴
60.0	2.48	1.67 × 10⁴
70.0	2.90	1.95 × 10⁴
80.0	3.31	2.23 × 10⁴
90.0	3.73	2.51 × 10⁴
100	4.14	2.79 × 10⁴
145	6.00	4.05 × 10⁴

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 50.0 ft
(lbf/ft)	(in)	(psi)
12.5	1.26	5450
20.0	2.02	8720
30.0	3.03	1.31 × 10⁴
40.0	4.04	1.74 × 10⁴
50.0	5.05	2.18 × 10⁴
59.4	6.00	2.59 × 10⁴

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 60.0 ft
(lbf/ft)	(in)	(psi)
12.5	2.62	7850
20.0	4.19	1.26 × 10⁴
28.6	6.00	1.80 × 10⁴

Steel I Beam: S6 × 12.5 (S6 inch tall × 12.5 lbf/ft)
L = 70.0 ft
(lbf/ft)	(in)	(psi)
12.5	4.85	1.07 × 10⁴
15.5	6.00	1.32 × 10⁴

Additional Information

Area properties of S Section Steel I-Beams

Properties of Common Steels

Beam Equations and Euler-Bernoulli Beam Theory

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