eFunda: Glossary: Beams: Simply Supported: Uniformly Distributed Load: Four Equal Spans: S Section Steel I Beam: S4 × 9.5

Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » S Section Steel I Beam » S4 × 9.5

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 = 6.79 in⁴) for the S4 × 9.5 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: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 3.00 ft
(lbf/ft)	(in)	(psi)
9.50	4.05 × 10^-5	32.4
10.0	4.26 × 10^-5	34.1
20.0	8.53 × 10^-5	68.1
30.0	1.28 × 10^-4	102
40.0	1.71 × 10^-4	136
50.0	2.13 × 10^-4	170
60.0	2.56 × 10^-4	204
70.0	2.98 × 10^-4	238
80.0	3.41 × 10^-4	273
90.0	3.84 × 10^-4	307
100	4.26 × 10^-4	341
200	8.53 × 10^-4	681
300	0.00128	1020
400	0.00171	1360
500	0.00213	1700
600	0.00256	2040
700	0.00298	2380
800	0.00341	2730
900	0.00384	3070
1000	0.00426	3410
2000	0.00853	6810
3000	0.0128	1.02 × 10⁴
4000	0.0171	1.36 × 10⁴
5000	0.0213	1.70 × 10⁴
6000	0.0256	2.04 × 10⁴
7000	0.0298	2.38 × 10⁴
8000	0.0341	2.73 × 10⁴
9000	0.0384	3.07 × 10⁴
1.00 × 10⁴	0.0426	3.41 × 10⁴
2.00 × 10⁴	0.0853	6.81 × 10⁴
3.00 × 10⁴	0.128	1.02 × 10⁵
4.00 × 10⁴	0.171	1.36 × 10⁵
5.00 × 10⁴	0.213	1.70 × 10⁵
6.00 × 10⁴	0.256	2.04 × 10⁵
7.00 × 10⁴	0.298	2.38 × 10⁵
8.00 × 10⁴	0.341	2.73 × 10⁵
8.72 × 10⁴	0.372	2.97 × 10⁵

Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 5.00 ft
(lbf/ft)	(in)	(psi)
9.50	3.13 × 10^-4	89.9
10.0	3.29 × 10^-4	94.6
20.0	6.58 × 10^-4	189
30.0	9.87 × 10^-4	284
40.0	0.00132	379
50.0	0.00164	473
60.0	0.00197	568
70.0	0.00230	662
80.0	0.00263	757
90.0	0.00296	852
100	0.00329	946
200	0.00658	1890
300	0.00987	2840
400	0.0132	3790
500	0.0164	4730
600	0.0197	5680
700	0.0230	6620
800	0.0263	7570
900	0.0296	8520
1000	0.0329	9460
2000	0.0658	1.89 × 10⁴
3000	0.0987	2.84 × 10⁴
4000	0.132	3.79 × 10⁴
5000	0.164	4.73 × 10⁴
6000	0.197	5.68 × 10⁴
7000	0.230	6.62 × 10⁴
8000	0.263	7.57 × 10⁴
9000	0.296	8.52 × 10⁴
1.00 × 10⁴	0.329	9.46 × 10⁴
2.00 × 10⁴	0.658	1.89 × 10⁵
3.00 × 10⁴	0.987	2.84 × 10⁵
3.14 × 10⁴	1.03	2.97 × 10⁵

Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 10.0 ft
(lbf/ft)	(in)	(psi)
9.50	0.00500	360
10.0	0.00526	379
20.0	0.0105	757
30.0	0.0158	1140
40.0	0.0211	1510
50.0	0.0263	1890
60.0	0.0316	2270
70.0	0.0368	2650
80.0	0.0421	3030
90.0	0.0474	3410
100	0.0526	3790
200	0.105	7570
300	0.158	1.14 × 10⁴
400	0.211	1.51 × 10⁴
500	0.263	1.89 × 10⁴
600	0.316	2.27 × 10⁴
700	0.368	2.65 × 10⁴
800	0.421	3.03 × 10⁴
900	0.474	3.41 × 10⁴
1000	0.526	3.79 × 10⁴
2000	1.05	7.57 × 10⁴
3000	1.58	1.14 × 10⁵
4000	2.11	1.51 × 10⁵
5000	2.63	1.89 × 10⁵
6000	3.16	2.27 × 10⁵
7000	3.68	2.65 × 10⁵
7850	4.13	2.97 × 10⁵

Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 15.0 ft
(lbf/ft)	(in)	(psi)
9.50	0.0253	809
10.0	0.0266	852
20.0	0.0533	1700
30.0	0.0799	2560
40.0	0.107	3410
50.0	0.133	4260
60.0	0.160	5110
70.0	0.187	5960
80.0	0.213	6810
90.0	0.240	7670
100	0.266	8520
200	0.533	1.70 × 10⁴
300	0.799	2.56 × 10⁴
400	1.07	3.41 × 10⁴
500	1.33	4.26 × 10⁴
600	1.60	5.11 × 10⁴
700	1.87	5.96 × 10⁴
800	2.13	6.81 × 10⁴
900	2.40	7.67 × 10⁴
1000	2.66	8.52 × 10⁴
1500	4.00	1.28 × 10⁵

Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 20.0 ft
(lbf/ft)	(in)	(psi)
9.50	0.0800	1440
10.0	0.0842	1510
20.0	0.168	3030
30.0	0.253	4540
40.0	0.337	6060
50.0	0.421	7570
60.0	0.505	9090
70.0	0.590	1.06 × 10⁴
80.0	0.674	1.21 × 10⁴
90.0	0.758	1.36 × 10⁴
100	0.842	1.51 × 10⁴
200	1.68	3.03 × 10⁴
300	2.53	4.54 × 10⁴
400	3.37	6.06 × 10⁴
475	4.00	7.19 × 10⁴

Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 25.0 ft
(lbf/ft)	(in)	(psi)
9.50	0.195	2250
10.0	0.206	2370
20.0	0.411	4730
30.0	0.617	7100
40.0	0.822	9460
50.0	1.03	1.18 × 10⁴
60.0	1.23	1.42 × 10⁴
70.0	1.44	1.66 × 10⁴
80.0	1.64	1.89 × 10⁴
90.0	1.85	2.13 × 10⁴
100	2.06	2.37 × 10⁴
195	4.00	4.60 × 10⁴

Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 30.0 ft
(lbf/ft)	(in)	(psi)
9.50	0.405	3240
10.0	0.426	3410
20.0	0.853	6810
30.0	1.28	1.02 × 10⁴
40.0	1.71	1.36 × 10⁴
50.0	2.13	1.70 × 10⁴
60.0	2.56	2.04 × 10⁴
70.0	2.98	2.38 × 10⁴
80.0	3.41	2.73 × 10⁴
90.0	3.84	3.07 × 10⁴
93.8	4.00	3.20 × 10⁴

Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 40.0 ft
(lbf/ft)	(in)	(psi)
9.50	1.28	5750
10.0	1.35	6060
20.0	2.70	1.21 × 10⁴
29.7	4.00	1.80 × 10⁴

Steel I Beam: S4 × 9.5 (S4 inch tall × 9.5 lbf/ft)
L = 50.0 ft
(lbf/ft)	(in)	(psi)
9.50	3.13	8990
10.0	3.29	9460
12.2	4.00	1.15 × 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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