W24×192 Steel Beam
A W24×192 is a wide flange steel beam 25.5 inches deep with 13-inch flanges, weighing 192 pounds per foot. In ASTM A992 steel (Fy = 50 ksi) it has a design bending strength of 2,096 kip-ft (LRFD) when its compression flange is braced, and a design shear strength of 620 kips.
Design a W24×192 beam Opens a 39 ft span in the free beam designer.
W24×192 dimensions
| Dimension | Value |
|---|---|
| Depth, d | 25.5 in |
| Flange width, bf | 13.0 in |
| Flange thickness, tf | 1.46 in |
| Web thickness, tw | 0.810 in |
| Distance to web toe of fillet, kdes | 1.96 in |
| Distance between flange centroids, ho | 24.04 in |
| Cross-sectional area, A | 56.3 in2 |
| Weight | 192 lb/ft |
Dimensions are AISC design values. Detailing dimensions are rounded to the nearest 1/16 in.
W24×192 section properties
| Property | Strong axis (x) | Weak axis (y) |
|---|---|---|
| Moment of inertia, I | 6260 in4 | 530 in4 |
| Elastic section modulus, S | 491 in3 | 81.8 in3 |
| Plastic section modulus, Z | 559 in3 | 126 in3 |
| Radius of gyration, r | 10.5 in | 3.07 in |
| Torsion and slenderness | Value |
|---|---|
| Torsional constant, J | 30.8 in4 |
| Warping constant, Cw | 76300 in6 |
| Effective radius of gyration, rts | 3.60 in |
| Flange slenderness, bf/2tf | 4.43 |
| Web slenderness, h/tw | 26.6 |
W24×192 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 = 2,096 kip-ft | Mn/Ω = 1,395 kip-ft |
| Shear | φVn = 620 kips | Vn/Ω = 413 kips |
If the compression flange isn't braced, the beam can buckle sideways before it yields. Up to Lp = 10.8 ft between braces it keeps its full strength; past Lr = 39.6 ft it buckles elastically. With uniform moment between braces (Cb = 1.0):
| Unbraced length, Lb | φMn (LRFD) | Mn/Ω (ASD) |
|---|---|---|
| Braced | 2,096 kip-ft | 1,395 kip-ft |
| 10 ft | 2,096 kip-ft | 1,395 kip-ft |
| 10.8 ft (Lp) | 2,096 kip-ft | 1,395 kip-ft |
| 20 ft | 1,839 kip-ft | 1,224 kip-ft |
| 30 ft | 1,559 kip-ft | 1,037 kip-ft |
| 39.6 ft (Lr) | 1,289 kip-ft | 858 kip-ft |
| 40 ft | 1,274 kip-ft | 847 kip-ft |
| 50 ft | 978 kip-ft | 651 kip-ft |
| 60 ft | 796 kip-ft | 530 kip-ft |
| 70 ft | 673 kip-ft | 448 kip-ft |
| 80 ft | 583 kip-ft | 388 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.
W24×192 load table by span
The largest uniform load a simply supported W24×192 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 0.192 kips per foot.
| Span | Factored load (LRFD) | Allowable load (ASD) | Load at span/360 | Load at span/240 |
|---|---|---|---|---|
| 13 ft | 95.3* | 63.6* | 122.4 | 183.6 |
| 15 ft | 74.5 | 49.6 | 79.7 | 119.5 |
| 17 ft | 58.0 | 38.6 | 54.7 | 82.1 |
| 19 ft | 46.5 | 30.9 | 39.2 | 58.8 |
| 21 ft | 38.0 | 25.3 | 29.0 | 43.6 |
| 23 ft | 31.7 | 21.1 | 22.1 | 33.2 |
| 25 ft | 26.8 | 17.9 | 17.2 | 25.8 |
| 27 ft | 23.0 | 15.3 | 13.7 | 20.5 |
| 29 ft | 19.9 | 13.3 | 11.0 | 16.5 |
| 31 ft | 17.5 | 11.6 | 9.03 | 13.5 |
| 33 ft | 15.4 | 10.2 | 7.48 | 11.2 |
| 35 ft | 13.7 | 9.11 | 6.27 | 9.41 |
| 37 ft | 12.2 | 8.15 | 5.31 | 7.96 |
| 39 ft | 11.0 | 7.34 | 4.53 | 6.80 |
| 41 ft | 9.98 | 6.64 | 3.90 | 5.85 |
| 43 ft | 9.07 | 6.03 | 3.38 | 5.07 |
| 45 ft | 8.28 | 5.51 | 2.95 | 4.43 |
| 47 ft | 7.59 | 5.05 | 2.59 | 3.89 |
| 49 ft | 6.98 | 4.65 | 2.29 | 3.43 |
| 51 ft | 6.45 | 4.29 | 2.03 | 3.04 |
| 53 ft | 5.97 | 3.97 | 1.81 | 2.71 |
| 55 ft | 5.54 | 3.69 | 1.62 | 2.42 |
| 57 ft | 5.16 | 3.43 | 1.45 | 2.18 |
| 59 ft | 4.82 | 3.21 | 1.31 | 1.96 |
| 61 ft | 4.51 | 3.00 | 1.18 | 1.78 |
| 63 ft | 4.23 | 2.81 | 1.08 | 1.61 |
- 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 39 ft span, a W24×192 carries a factored load of 11.0 kips per foot (LRFD) or an allowable load of 7.34 kips per foot (ASD). A live load of 4.53 kips per foot would deflect it span/360, which is 1.30 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.
W24×192 questions
What does W24×192 mean?
W means a wide flange shape. 24 is its nominal depth in inches (the actual depth is 25.5 in) and 192 is its weight in pounds per foot.
How much does a W24×192 weigh?
192 pounds per foot, so a 20 ft W24×192 weighs about 3,840 pounds.
How far can a W24×192 span?
It depends on the load. Braced along its length, it carries 95.3 kips per foot of factored load at 13 ft and 4.23 kips per foot at 63 ft; the load table has the spans in between. Floor beams are often 38 to 51 ft for this depth (span-to-depth ratios of about 18 to 24), where deflection usually governs.
Is a W24×192 a compact section?
Yes. Its flanges (bf/2tf = 4.43) and web (h/tw = 26.6) are both compact for bending in 50 ksi steel.