Report - Steel Beam Calculator

Design summary

	Resistance / Limit	Applied / Actual	Utilization
Shear resistance (kip)	16.8	5.37	32 %	OK
Bending resistance (kip-ft)	10.8	3.17	29 %	OK
Total deflection (in)	0.15	0.02	10 %	OK
Live deflection (in)	0.1	0.01	9 %	OK

Beam details

Beam shape	W 4 x 13
Effective span	3 ft
Minimum yield stress F_y	36,000 psi
Width	4.06 in
Depth	4.17 in
Web	0.28 in
Flange	0.34 in
Weight per foot	12.97 lb/ft
Modulus of elasticity	29,000 ksi
Second moment of area	11.29 in⁴

Lateral bracing & deflection limits

Beam is laterally braced along its length
Length between lateral bracing at least every 2 ft

Live load deflection limit: span / 360.00 = 0.10 in
Total load deflection limit: span / 240.00 = 0.15 in

Loading details

Self weight

Dead load

12.97 lb/ft

Load 1: UDL - Standard wood floor with ceramic tile

Dead load	15 psf × 23 ft = 345 lb/ft
Live load	40 psf × 23 ft = 920 lb/ft

Load 2: Partial UDL - Wood wall with lap wood siding

Dimension to start of load, A	A = 1.2 ft
Length of load, B	B = 2.2 ft
Dead load	F_d,2 = 8 psf × 30 ft = 240 lb/ft
Live load	F_l,2 = 40 psf × 30 ft = 1200 lb/ft

Load 3: Point load - Point load

Distance to point load, A	A = 2.4 ft
Dead load	F_d,3 = 2000 lbs
Live load	F_i,3 = 0 lbs

Reactions (unfactored)

	Dead	Live	Total
Left reaction	1.06 kip	2.00 kip	3.06 kip
Right reaction	2.54 kip	3.40 kip	5.95 kip

Check bending moments

Beam moment capacity M_R = 10.8 kip-ft >= 3.17 kip-ft, therefore OK

The top flange of the beam is to be laterally braced along its full length. To ensure adequate lateral bracing, bracing members should be attached with fasteners that provide a positive connection. Lateral bracing members should generally be regularly spaced at least every 2 feet.

Check shear force

Shear capacity V_c = 16.8 kip >= 5.37 kip, therefore OK

Allowable shear = 0.4 × minimum yield stress × d × t_w

Check deflection

Live load deflection = 0.01 in <= 0.1 in, therefore OK

Total load deflection = 0.02 in <= 0.15 in, therefore OK

Notes

These calculations are based on the Manual of Steel Construction, Allowable Stress Design, Ninth Edition by the American Institute of Steel Construction.

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