An 8 X 8 S4S first-floor column supports a load of P1 = 20k from roof and floors above and an additional second-floor load P2 = 12 k. Determine the adequacy of the column assuming a "normal" load duration. Check with Table A1-a and A1-b for actual size and area. E = 1600 ksi, and Fc = 1000 psi

Architectural Drafting and Design (MindTap Course List)
7th Edition
ISBN:9781285165738
Author:Alan Jefferis, David A. Madsen, David P. Madsen
Publisher:Alan Jefferis, David A. Madsen, David P. Madsen
Chapter28: Structural Components Of Framed Construction
Section: Chapter Questions
Problem 28.7Q
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An 8 X 8 S4S first-floor column supports a load of P1 = 20k from roof and floors above and an additional second-floor load P2 = 12 k. Determine the adequacy of the column assuming a "normal" load duration.

  1. Check with Table A1-a and A1-b for actual size and area.
  2. E = 1600 ksi, and Fc = 1000 psi
Table
Table A1-a Lumber Section Properties-Dimensioned Sizes-Rafters, Joists, and Studs.
Section Properties of Dimension Western Lumber Sizes
Nominal
size
Surfaced Nominal
Dry size
size
(bx h)
(in.)
(actual)
(in.)
(bx h)
(mm)
6x6
6x8
6 x 10
6 x 12
6 x 14
8x8
8 x 10
8 x 12
8 x 14
8 x 16
10 × 10
10 x 12
10 x 14
10 x 16
12 x 12
12 x 14
12 x 16
12 x 18
2x2
2x3
2x4
2x6
2x8
2 x 10
2 x 12
3 x 3
3x4
3 x 6
3x 8
3 x 10
3 x 12
4x4
4x6
4x8
4 x 10
4 x 12
4 x 14
1.5 x 1.5
1.5 x 2.5
1.5 x 3.5
1.5x5.5
1.5 x 7.25
1.5 x 9.25
1.5 x 11.25
2.5 x 2.5
2.5 x 3.5
2.5x5.5
2.5 x 7.25
2.5 x 9.25
2.5 x 11.25
3.5 x 3.5
3.5 x 5.5
3.5 x 7.25
3.5 x 9.25
3.5 x 11.25
3.5 x 13.25
5.5 x 5.5
5.5 x 7.5
5.5 x 9.5
5.5 x 11.5
5.5 x 13.5
7.5 x 7.5
7.5 x 9.5
7.5 x 11.5
7.5 x 13.5
7.5 x 15.5
9.5 x 9.5
9.5 x 11.5
9.5 x 13.5
9.5 x 15.5
11.5 x 11.5
11.5 x 13.5
11.5 x 15.5
11.5 x 17.5
50 x 50
50 X 75
50 x 100
50 x 150
50 x 200
50 x 250
50 x 300
100 x 100
100 x 150
100 x 200
100 x 250
100 x 300
100 x 350
75 x 75
75 x 100
75 x 150
75 x 200
75 x 250
75 x 300
150 x 150
150 x 200
150 x 250
150 × 300
150 x 350
200 × 200
200 x 250
200 × 300
200 × 350
200 x 400
250 x 250
250 × 300
250 x 350
250 x 400
300 x 300
300 × 350
300 x 400
300 x 450
64 x 64
64 × 89
64 x 140
64 × 184
64 x 235
64 x 286
89 x 89
89 x 140
89 × 184
89 x 235
89 x 286
89 x 335
Surfaced
Dry size
(actual)
(mm)
140 x 140
140 x 191
140 × 241
140 × 292
140 x 343
38 x 38
38 x 64
38 x 89
38 x 140
38 x 184
38 x 235
38 x 286
191 x 191
191 x 241
191 x 292
191 x 343
191 x 394
241 x 241
241 x 292
241 x 343
241 x 394
con Properties-Beams and Columns.
Section Properties of Western Lumber Timber Sizes.
Nominal Surfaced Nominal Surfaced
size
Dry size
size
Dry size
(bx h)
(in.)
(actual)
(in.)
(bx h)
(mm)
(actual)
(mm)
292 × 292
292 × 343
292 x 394
292 x 445
30.25
41.25
52.25
63.25
74.25
Area
A = (b) x (h)
(in.²)
56.25
71.25
86.25
101.25
116.25
90.25
109.25
128.25
147.25
2.25
3.75
5.25
8.25
10.88
13.88
16.88
Area
A = (b) x (h)
(in.2)
132.25
155.25
178.25
201.25
6.25
8.75
13.75
18.12
23.12
28.12
12.25
19.25
25.38
32.38
39.38
46.38
Area
A = bh
x 10³mm²
19.6
26.7
33.7
40.9
48.0
36.5
46.0
55.8
65.5
75.2
58.1
70.4
82.7
95.0
85.3
100
115
130
Area
A = bh
x 10³ mm²
1.44
2.43
3.38
5.32
6.99
8.93
10.87
4.10
5.70
8.96
11.78
15.04
18.30
7.92
12.5
16.4
20.9
25.4
29.8
27.7
51.6
82.7
121.2
167.1
70.3
112.8
165.3
227.8
300.3
142.9
209.4
288.6
380.4
Section
Modulus
S=bh²/6
(in.3)
Section Section
modulus Modulus
S = bh²/6
(in.³)
253.5
349.3
460.5
587.0
0.56
1.56
3.06
7.58
13.14
21.39
31.64
2.60
5.10
12.60
21.90
35.65
52.73
7.15
17.65
30.66
49.91
73.83
102.41
S = bh²/6
x 10³ mm³
457
851
1355
1989
2745
1161
1849
2714
3745
4942
Section
Modulus
S=bh²/6
x 10³ mm³
2333
3425
4726
6235
4150
5726
7555
9637
9.12
25.9
50.2
124
214
350
518
43.7
84.5
209
361
589
872
118
292
502
819
1213
1664
Moment
of Inertia
1 = bh³/12
(in.4)
76.3
193.4
393.0
697.1
1127.7
Moment
of Inertia
1= bh³/12
(in.4)
263.7
535.9
950.6
1537.7
2327.4
678.8
1204.0
1947.8
2948.1
1457.5
2357.9
3568.7
5136.1
0.42
1.95
5.36
20.80
47.63
98.93
177.98
3.26
8.93
34.66
79.39
164.89
296.63
12.51
48.53
111.15
230.84
415.28
678.48
Moment
of Inertia
1 = bh³/12
x 105 mm²
Moment of
Inertia
I= bh³/12
x 108 mm²
32.0
81.3
163
290
471
111
223
396
642
974
281
500
810
1228
606
982
1488
2144
0.17
0.83
2.23
8.69
19.7
41.1
74.1
1.40
3.76
14.6
33.2
69.2
124.7
5.23
20.4
46.2
96.3
174
279
567
Transcribed Image Text:Table Table A1-a Lumber Section Properties-Dimensioned Sizes-Rafters, Joists, and Studs. Section Properties of Dimension Western Lumber Sizes Nominal size Surfaced Nominal Dry size size (bx h) (in.) (actual) (in.) (bx h) (mm) 6x6 6x8 6 x 10 6 x 12 6 x 14 8x8 8 x 10 8 x 12 8 x 14 8 x 16 10 × 10 10 x 12 10 x 14 10 x 16 12 x 12 12 x 14 12 x 16 12 x 18 2x2 2x3 2x4 2x6 2x8 2 x 10 2 x 12 3 x 3 3x4 3 x 6 3x 8 3 x 10 3 x 12 4x4 4x6 4x8 4 x 10 4 x 12 4 x 14 1.5 x 1.5 1.5 x 2.5 1.5 x 3.5 1.5x5.5 1.5 x 7.25 1.5 x 9.25 1.5 x 11.25 2.5 x 2.5 2.5 x 3.5 2.5x5.5 2.5 x 7.25 2.5 x 9.25 2.5 x 11.25 3.5 x 3.5 3.5 x 5.5 3.5 x 7.25 3.5 x 9.25 3.5 x 11.25 3.5 x 13.25 5.5 x 5.5 5.5 x 7.5 5.5 x 9.5 5.5 x 11.5 5.5 x 13.5 7.5 x 7.5 7.5 x 9.5 7.5 x 11.5 7.5 x 13.5 7.5 x 15.5 9.5 x 9.5 9.5 x 11.5 9.5 x 13.5 9.5 x 15.5 11.5 x 11.5 11.5 x 13.5 11.5 x 15.5 11.5 x 17.5 50 x 50 50 X 75 50 x 100 50 x 150 50 x 200 50 x 250 50 x 300 100 x 100 100 x 150 100 x 200 100 x 250 100 x 300 100 x 350 75 x 75 75 x 100 75 x 150 75 x 200 75 x 250 75 x 300 150 x 150 150 x 200 150 x 250 150 × 300 150 x 350 200 × 200 200 x 250 200 × 300 200 × 350 200 x 400 250 x 250 250 × 300 250 x 350 250 x 400 300 x 300 300 × 350 300 x 400 300 x 450 64 x 64 64 × 89 64 x 140 64 × 184 64 x 235 64 x 286 89 x 89 89 x 140 89 × 184 89 x 235 89 x 286 89 x 335 Surfaced Dry size (actual) (mm) 140 x 140 140 x 191 140 × 241 140 × 292 140 x 343 38 x 38 38 x 64 38 x 89 38 x 140 38 x 184 38 x 235 38 x 286 191 x 191 191 x 241 191 x 292 191 x 343 191 x 394 241 x 241 241 x 292 241 x 343 241 x 394 con Properties-Beams and Columns. Section Properties of Western Lumber Timber Sizes. Nominal Surfaced Nominal Surfaced size Dry size size Dry size (bx h) (in.) (actual) (in.) (bx h) (mm) (actual) (mm) 292 × 292 292 × 343 292 x 394 292 x 445 30.25 41.25 52.25 63.25 74.25 Area A = (b) x (h) (in.²) 56.25 71.25 86.25 101.25 116.25 90.25 109.25 128.25 147.25 2.25 3.75 5.25 8.25 10.88 13.88 16.88 Area A = (b) x (h) (in.2) 132.25 155.25 178.25 201.25 6.25 8.75 13.75 18.12 23.12 28.12 12.25 19.25 25.38 32.38 39.38 46.38 Area A = bh x 10³mm² 19.6 26.7 33.7 40.9 48.0 36.5 46.0 55.8 65.5 75.2 58.1 70.4 82.7 95.0 85.3 100 115 130 Area A = bh x 10³ mm² 1.44 2.43 3.38 5.32 6.99 8.93 10.87 4.10 5.70 8.96 11.78 15.04 18.30 7.92 12.5 16.4 20.9 25.4 29.8 27.7 51.6 82.7 121.2 167.1 70.3 112.8 165.3 227.8 300.3 142.9 209.4 288.6 380.4 Section Modulus S=bh²/6 (in.3) Section Section modulus Modulus S = bh²/6 (in.³) 253.5 349.3 460.5 587.0 0.56 1.56 3.06 7.58 13.14 21.39 31.64 2.60 5.10 12.60 21.90 35.65 52.73 7.15 17.65 30.66 49.91 73.83 102.41 S = bh²/6 x 10³ mm³ 457 851 1355 1989 2745 1161 1849 2714 3745 4942 Section Modulus S=bh²/6 x 10³ mm³ 2333 3425 4726 6235 4150 5726 7555 9637 9.12 25.9 50.2 124 214 350 518 43.7 84.5 209 361 589 872 118 292 502 819 1213 1664 Moment of Inertia 1 = bh³/12 (in.4) 76.3 193.4 393.0 697.1 1127.7 Moment of Inertia 1= bh³/12 (in.4) 263.7 535.9 950.6 1537.7 2327.4 678.8 1204.0 1947.8 2948.1 1457.5 2357.9 3568.7 5136.1 0.42 1.95 5.36 20.80 47.63 98.93 177.98 3.26 8.93 34.66 79.39 164.89 296.63 12.51 48.53 111.15 230.84 415.28 678.48 Moment of Inertia 1 = bh³/12 x 105 mm² Moment of Inertia I= bh³/12 x 108 mm² 32.0 81.3 163 290 471 111 223 396 642 974 281 500 810 1228 606 982 1488 2144 0.17 0.83 2.23 8.69 19.7 41.1 74.1 1.40 3.76 14.6 33.2 69.2 124.7 5.23 20.4 46.2 96.3 174 279 567
9.17 An 8 x 8 S4S first-floor column supports a load of
P₁ = 20 k from roof and floors above and an additional
second-floor load P2 = 12 k. Determine the adequacy of
the column assuming a "normal" load duration.
1.Check with Table A1-a and A1-b for actual size and area.
2. E = 1600 ksi, and Fc = 1000 psi
13-6"
PLOADS FROM
ABOVE
2 NO
FLOOR
-BxB 645
DOUGLA'S FIR
No. COLUMN
Transcribed Image Text:9.17 An 8 x 8 S4S first-floor column supports a load of P₁ = 20 k from roof and floors above and an additional second-floor load P2 = 12 k. Determine the adequacy of the column assuming a "normal" load duration. 1.Check with Table A1-a and A1-b for actual size and area. 2. E = 1600 ksi, and Fc = 1000 psi 13-6" PLOADS FROM ABOVE 2 NO FLOOR -BxB 645 DOUGLA'S FIR No. COLUMN
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