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 |
Select:
Topic 4: Beams - Table of Contents
Statics & Strength of
Materials Home Page