WORLD FOR CIVIL

Topic 5.8: Beams - Topic Examination

1. A loaded, simply supported WT 6 x 36 T-Beam is shown. For this beam:
A. Determine the maximum bending stress 10 feet from the left end of the beam.
B. Determine the horizontal shear stress at a point 4 inches above the bottom of the beam cross section and 10 feet from the left end of the beam.

(For solution select: Topic Exam Solution - Problem 1)

-	-	Depth	Flange	Flange	Stem	-	Cross	Section	Info.	.
Designation	Area	of T	Width	thick	thick	-	x-x axis	x-x axis	x-x axis	x-x axis
-	A - in2	d - in	bf -in	tf - in	tw - in	d/tw	I - in4	S - in3	r - in	y- in
WT 6 x 36	10.60	6.13	12.040	0.671	0.430	14.20	23.20	4.540	1.480	1.02

2. A loaded, simply supported beam is shown. For this beam select the best I-beam to use from the beam table shown below. The maximum allowable bending stress = 35,000 lb./in2 (for tension and compression), and the maximum allowable shear stress = 10,000 lb./in2 for the beam material.

(For solution select: Topic Exam Solution - Problem 2)

-	-	-	Flange	Flange	Web	Cross	Section	Cross	Section
Designation	Area	Depth	Width	thick	thick	x-x axis	x-x axis	y-y axis	y-y axis
-	A-in2	d - in	bf - in	tf - in	tw - in	I - in4	S - in3	I - in4	S - in3
W 5x16	4.70	5.00	5.000	0.360	0.240	21.3	8.5	7.51	3.00
W 6x20	5.88	6.20	6.018	0.367	0.258	41.5	13.4	13.30	4.43
W 6x25	7.35	6.37	6.080	0.456	0.320	53.3	16.7	17.10	5.62
W 8x17	5.01	8.00	5.250	0.308	0.230	56.6	14.1	7.44	2.83
W 8x20	5.89	8.14	5.268	0.378	0.248	69.4	17.0	9.22	3.50
W 8x31	9.12	8.00	8.000	0.433	0.288	110.0	27.4	37.00	9.24
W 8x35	10.30	8.12	8.027	0.493	0.315	126.0	31.1	42.50	10.60
W 8x40	11.80	8.25	8.077	0.558	0.365	146.0	35.5	49.00	12.10
W 10x25	7.36	10.08	5.762	0.430	0.252	133.0	26.5	13.70	4.76
W 10x29	8.54	10.22	5.799	0.500	0.289	158.0	30.8	16.30	5.61
W 10x33	9.71	9.75	7.964	0.433	0.292	171.0	35.0	36.50	9.16
W 10x39	11.50	9.94	7.990	0.528	0.318	210.0	42.2	44.90	11.20
W 10x45	13.20	10.12	8.022	0.618	0.350	249.0	49.1	53.20	13.30
W 10x54	15.90	10.12	10.028	0.618	0.368	306.0	60.4	104.00	20.70
W 10x60	17.70	10.25	10.075	0.683	0.415	344.0	67.1	116.00	23.10
W 12x19	5.59	12.16	4.007	0.349	0.237	130.0	21.3	3.76	1.88
W 12x22	6.47	12.31	4.030	0.424	0.260	156.0	25.3	4.64	2.31
W 12x27	7.95	11.96	6.497	0.400	0.237	204.0	34.2	18.30	5.63
W 12x31	9.13	12.09	6.525	0.465	0.265	239.0	39.5	21.60	6.61
W 14x34	10.00	14.00	6.750	0.453	0.287	340.0	48.6	23.30	6.89
W 14x38	11.20	14.12	6.776	0.513	0.313	386.0	54.7	26.60	7.86
W 12x53	15.60	12.06	10.000	0.576	0.345	426.0	70.7	96.10	19.20
W 14x61	17.90	13.91	10.000	0.643	0.378	641.0	92.5	107.00	21.50
W 14x87	25.60	14.00	14.500	0.688	0.420	967.0	138.0	350.00	48.20
W 16x36	10.60	15.85	6.992	0.428	0.299	447.0	56.5	24.40	6.99
W 16x50	14.70	16.25	7.073	0.628	0.380	657.0	80.8	37.10	10.50
W 18x45	13.20	17.86	7.477	0.499	0.335	706.0	79.0	34.80	9.32
W 18x60	17.70	18.25	7.558	0.695	0.416	986.0	108.0	50.10	13.30
W 24x68	20.00	23.71	8.961	0.582	0.416	1820.0	153.0	70.00	15.60
W 24x94	27.70	24.29	9.061	0.872	0.516	2690.0	221.0	108.00	23.90
W 36x230	67.70	35.88	16.471	1.260	0.761	15000.0	837.0	940.00	114.00
W 36 x 260	76.50	36.24	16.551	1.440	0.841	17300.0	952.0	1090.00	132.00