A simply supported wood beam having a span length L=12ft is subjected to unsymmetrical point loads. Select a suitable size for the beam from the table in Appendix G

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.3.5P: What is the span length L of a uniformly loaded, simple beam of wide-flange cross section (see...
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A simply supported wood beam having a span length L=12ft is subjected to unsymmetrical point loads. Select a suitable size for the beam from the table in Appendix G
size for the beam from the table in Appendix G. The
allowable bending stress is 1800 psi and the wood
weighs 35 lb/ft³.
P = 2.5 kips
P, = 3.2 kips
4 ft.
4 ft
4 ft
PROBLEM 5.6-1
Transcribed Image Text:size for the beam from the table in Appendix G. The allowable bending stress is 1800 psi and the wood weighs 35 lb/ft³. P = 2.5 kips P, = 3.2 kips 4 ft. 4 ft 4 ft PROBLEM 5.6-1
APPENDIX G
Properties of Structural Lumber
1
1-
h
Properties of Surfaced Lumber (Abridged List)
Axis 1-1
Weight per
Linear Foot
Axis 2-2
Section
Nominal
Dimensions Dimensions
bx h
Section
Modulus
hb?
S,
6.
Net
Moment
Moment
of Inertia
hb
Area
of Inertia
bh
Modulus
bh?
S, =
6.
(weight
density
35 lb/ ft')
A = bh
b,x h
12
12
in.
in.
in
in
in
in
in
Ib
2 x 4
1.5 x 3.5
5.25
5.36
3.06
0.98
1.31
1.3
2 x 6
1.5 X 5.5
8.25
20.80
7.56
1.55
2.06
2.0
2 x 8
1.5 x 7.25
10.88
47.63
13.14
2.04
2.72
2.6
2 x 10
1.5 x 9.25
13.88
98.93
21.39
2.60
3.47
3.4
2 x 12
1.5 x 11.25
16.88
177.98
31.64
3.16
4.22
4.1
3 x 4
3x 6
2.5 x 3.5
8.75
8.93
5.10
4.56
3.65
2.1
2.5 x 5.5
13.75
34.66
12.60
7.16
5.73
3.3
3 X 8
2.5 x 7.25
18.13
79.39
21.90
9.44
7.55
4.4
3 x 10
3 x 12
2.5 x 9.25
23.13
164.89
35.65
12.04
9.64
5.6
2.5 x 11.25
28.13
296.63
52.73
14,65
11.72
6.8
4 x 4
3.5 x 3.5
12.25
12.51
7.15
12.51
7.15
3.0
4 X 6
3.5 x 5.5
19.25
48.53
17.65
19.65
11.23
4.7
4 x 8
3.5 x 7.25
25.38
111.15
30.66
25.90
14.80
6.2
4 x 10
3.5 x 9.25
32.38
230.84
49.91
33.05
18.89
7.9
4 x 12
3.5 x 11.25
39.38
415.28
73.83
40.20
22.9
9.6
6 X 6
5.5 x 5.5
30.25
76.3
27.7
76.3
27.7
7.4
6 x 8
5.5 x 7.5
41.25
193.4
51.6
104.0
37.8
10.0
6 x 10
5.5 x 9.5
52.25
393.0
82.7
131.7
47.9
12,7
6 x 12
5.5 x 11.5
63.25
697.1
121.2
159.4
58.0
15.4
8 x 8
8 x 10
8 x 12
7.5 x 7.5
56.25
263.7
70.3
263.7
70.3
13.7
7,5 x 9.5
71.25
535.9
112.8
334.0
89.1
17.3
7.5 x 11.5
86.25
950.5
165.3
404.3
107.8
21.0
Note: Axes 1-1 and 2-2 are principal centroidal axes.
1101
Transcribed Image Text:APPENDIX G Properties of Structural Lumber 1 1- h Properties of Surfaced Lumber (Abridged List) Axis 1-1 Weight per Linear Foot Axis 2-2 Section Nominal Dimensions Dimensions bx h Section Modulus hb? S, 6. Net Moment Moment of Inertia hb Area of Inertia bh Modulus bh? S, = 6. (weight density 35 lb/ ft') A = bh b,x h 12 12 in. in. in in in in in Ib 2 x 4 1.5 x 3.5 5.25 5.36 3.06 0.98 1.31 1.3 2 x 6 1.5 X 5.5 8.25 20.80 7.56 1.55 2.06 2.0 2 x 8 1.5 x 7.25 10.88 47.63 13.14 2.04 2.72 2.6 2 x 10 1.5 x 9.25 13.88 98.93 21.39 2.60 3.47 3.4 2 x 12 1.5 x 11.25 16.88 177.98 31.64 3.16 4.22 4.1 3 x 4 3x 6 2.5 x 3.5 8.75 8.93 5.10 4.56 3.65 2.1 2.5 x 5.5 13.75 34.66 12.60 7.16 5.73 3.3 3 X 8 2.5 x 7.25 18.13 79.39 21.90 9.44 7.55 4.4 3 x 10 3 x 12 2.5 x 9.25 23.13 164.89 35.65 12.04 9.64 5.6 2.5 x 11.25 28.13 296.63 52.73 14,65 11.72 6.8 4 x 4 3.5 x 3.5 12.25 12.51 7.15 12.51 7.15 3.0 4 X 6 3.5 x 5.5 19.25 48.53 17.65 19.65 11.23 4.7 4 x 8 3.5 x 7.25 25.38 111.15 30.66 25.90 14.80 6.2 4 x 10 3.5 x 9.25 32.38 230.84 49.91 33.05 18.89 7.9 4 x 12 3.5 x 11.25 39.38 415.28 73.83 40.20 22.9 9.6 6 X 6 5.5 x 5.5 30.25 76.3 27.7 76.3 27.7 7.4 6 x 8 5.5 x 7.5 41.25 193.4 51.6 104.0 37.8 10.0 6 x 10 5.5 x 9.5 52.25 393.0 82.7 131.7 47.9 12,7 6 x 12 5.5 x 11.5 63.25 697.1 121.2 159.4 58.0 15.4 8 x 8 8 x 10 8 x 12 7.5 x 7.5 56.25 263.7 70.3 263.7 70.3 13.7 7,5 x 9.5 71.25 535.9 112.8 334.0 89.1 17.3 7.5 x 11.5 86.25 950.5 165.3 404.3 107.8 21.0 Note: Axes 1-1 and 2-2 are principal centroidal axes. 1101
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