W10×112 Steel Beam
A W10×112 is a wide flange steel beam 11.4 inches deep with 10.4-inch flanges, weighing 112 pounds per foot. In ASTM A992 steel (Fy = 50 ksi) it has a design bending strength of 551 kip-ft (LRFD) when its compression flange is braced, and a design shear strength of 258 kips.
Design a W10×112 beam Opens a 18 ft span in the free beam designer.
W10×112 dimensions
| Dimension | Value |
|---|---|
| Depth, d | 11.4 in |
| Flange width, bf | 10.4 in |
| Flange thickness, tf | 1.25 in |
| Web thickness, tw | 0.755 in |
| Distance to web toe of fillet, kdes | 1.75 in |
| Distance between flange centroids, ho | 10.15 in |
| Cross-sectional area, A | 32.9 in2 |
| Weight | 112 lb/ft |
Dimensions are AISC design values. Detailing dimensions are rounded to the nearest 1/16 in.
W10×112 section properties
| Property | Strong axis (x) | Weak axis (y) |
|---|---|---|
| Moment of inertia, I | 716 in4 | 236 in4 |
| Elastic section modulus, S | 126 in3 | 45.3 in3 |
| Plastic section modulus, Z | 147 in3 | 69.2 in3 |
| Radius of gyration, r | 4.66 in | 2.68 in |
| Torsion and slenderness | Value |
|---|---|
| Torsional constant, J | 15.1 in4 |
| Warping constant, Cw | 6020 in6 |
| Effective radius of gyration, rts | 3.08 in |
| Flange slenderness, bf/2tf | 4.17 |
| Web slenderness, h/tw | 10.4 |
W10×112 bending and shear strength
For ASTM A992 steel (Fy = 50 ksi, E = 29,000 ksi) per AISC 360-16. Its flanges and web are compact for bending, so with its compression flange braced it reaches its full plastic moment.
| Strength | LRFD | ASD |
|---|---|---|
| Bending, compression flange braced | φMn = 551 kip-ft | Mn/Ω = 367 kip-ft |
| Shear | φVn = 258 kips | Vn/Ω = 172 kips |
If the compression flange isn't braced, the beam can buckle sideways before it yields. Up to Lp = 9.5 ft between braces it keeps its full strength; past Lr = 64.2 ft it buckles elastically. With uniform moment between braces (Cb = 1.0):
| Unbraced length, Lb | φMn (LRFD) | Mn/Ω (ASD) |
|---|---|---|
| Braced | 551 kip-ft | 367 kip-ft |
| 9.5 ft (Lp) | 551 kip-ft | 367 kip-ft |
| 10 ft | 549 kip-ft | 365 kip-ft |
| 20 ft | 509 kip-ft | 339 kip-ft |
| 30 ft | 469 kip-ft | 312 kip-ft |
| 40 ft | 428 kip-ft | 285 kip-ft |
| 50 ft | 388 kip-ft | 258 kip-ft |
| 60 ft | 348 kip-ft | 231 kip-ft |
| 64.2 ft (Lr) | 331 kip-ft | 220 kip-ft |
| 70 ft | 303 kip-ft | 201 kip-ft |
| 80 ft | 264 kip-ft | 176 kip-ft |
| 90 ft | 235 kip-ft | 156 kip-ft |
| 100 ft | 211 kip-ft | 140 kip-ft |
| 110 ft | 192 kip-ft | 128 kip-ft |
A beam with a uniform load between braces has Cb above 1.0 (1.14 for a simple span braced only at its ends), so these values are conservative. The beam designer works out Cb for every segment between braces.
W10×112 load table by span
The largest uniform load a simply supported W10×112 can carry, in kips per foot, with its compression flange braced along its length (by a floor or roof deck, for example). The loads include the beam's own weight of 0.112 kips per foot.
| Span | Factored load (LRFD) | Allowable load (ASD) | Load at span/360 | Load at span/240 |
|---|---|---|---|---|
| 6 ft | 86.1* | 57.4* | 142.4 | 213.6 |
| 7 ft | 73.8* | 49.2* | 89.7 | 134.5 |
| 8 ft | 64.6* | 43.0* | 60.1 | 90.1 |
| 9 ft | 54.4 | 36.2 | 42.2 | 63.3 |
| 10 ft | 44.1 | 29.3 | 30.8 | 46.1 |
| 11 ft | 36.4 | 24.2 | 23.1 | 34.7 |
| 12 ft | 30.6 | 20.4 | 17.8 | 26.7 |
| 13 ft | 26.1 | 17.4 | 14.0 | 21.0 |
| 14 ft | 22.5 | 15.0 | 11.2 | 16.8 |
| 15 ft | 19.6 | 13.0 | 9.11 | 13.7 |
| 16 ft | 17.2 | 11.5 | 7.51 | 11.3 |
| 17 ft | 15.3 | 10.2 | 6.26 | 9.39 |
| 18 ft | 13.6 | 9.06 | 5.27 | 7.91 |
| 19 ft | 12.2 | 8.13 | 4.48 | 6.73 |
| 20 ft | 11.0 | 7.34 | 3.85 | 5.77 |
| 21 ft | 10.0 | 6.65 | 3.32 | 4.98 |
| 22 ft | 9.11 | 6.06 | 2.89 | 4.33 |
| 23 ft | 8.34 | 5.55 | 2.53 | 3.79 |
| 24 ft | 7.66 | 5.09 | 2.23 | 3.34 |
| 25 ft | 7.06 | 4.69 | 1.97 | 2.95 |
| 26 ft | 6.52 | 4.34 | 1.75 | 2.63 |
| 27 ft | 6.05 | 4.02 | 1.56 | 2.34 |
| 28 ft | 5.63 | 3.74 | 1.40 | 2.10 |
| 29 ft | 5.24 | 3.49 | 1.26 | 1.89 |
- Factored and allowable loads are limited by bending, or by shear where marked *.
- The deflection columns are the service loads that make the beam sag span/360 or span/240. Compare span/360 with the live load alone and span/240 with dead plus live load, the usual floor limits in IBC Table 1604.3.
Reading the table
At a 18 ft span, a W10×112 carries a factored load of 13.6 kips per foot (LRFD) or an allowable load of 9.06 kips per foot (ASD). A live load of 5.27 kips per foot would deflect it span/360, which is 0.60 in. The beam works if the factored load is under the first number and the live and total loads are under the deflection numbers. For other spans, supports or loads, open it in the beam designer, or follow the steel beam design guide to check one by hand.
W10×112 questions
What does W10×112 mean?
W means a wide flange shape. 10 is its nominal depth in inches (the actual depth is 11.4 in) and 112 is its weight in pounds per foot.
How much does a W10×112 weigh?
112 pounds per foot, so a 20 ft W10×112 weighs about 2,240 pounds.
How far can a W10×112 span?
It depends on the load. Braced along its length, it carries 86.1 kips per foot of factored load at 6 ft and 5.24 kips per foot at 29 ft; the load table has the spans in between. Floor beams are often 17 to 23 ft for this depth (span-to-depth ratios of about 18 to 24), where deflection usually governs.
Is a W10×112 a compact section?
Yes. Its flanges (bf/2tf = 4.17) and web (h/tw = 10.4) are both compact for bending in 50 ksi steel.