All About Headers

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SPANNING THE DISTANCE above window and door openings, headers transfer the weight of the roof down through the trimmers, making it pos­sible to have openings in a wall with­out compromising its strength. There are three things you need to know about headers: length, cross-sectional dimensions, and construction details.

Header Lengths

Window and door manufacturers typically provide recommended rough opening sizes for the prehung units thev sell. To determine the length of a header, you can simply add 3 in. to the rough opening size; this is the combined thickness of the trimmers that support the ends of the header.

a – The length of a door header is usu­ally 5 in. greater than the width of the door. Therefore, a 3/0 door (36 in. wide) needs a 41-in. header. The extra 5 in. includes 3 in. for the trimmer thickness, I / in. for two X-in.-thick door jambs, and A in. of clearance space for setting the door plumb.

a A set of bifold (or sliding) doors t у p і ca 11 у req u і res a s h оrter header than a regular door—just 3 in. longer than the combined width of the pair of doors. For example, a set of 5/0 (60-in.) bifold doors requires a 63-in.-long header, which provides 1A in. on each side for the trimmers. After the trimmers are wrapped with drywall, vou’re left with a

/ у

59-in.-wide opening, which allows the bifold doors to overlap 1 in.

^ The standard header length for vinyl-framed windows is 3 in. longer than the rough opening.

For wood-frame windows, headers are cut 5 in. longer than the rough opening, just like door headers are. Make sure that the window sizes meet code requirements for daylight, ventilation, and egress.

Header Cross Section and Construction

ж The header in a nonbearing wall can be a single 2x. In a load-bearing wall, the length a header spans determines its cross-sectional mea­surement. For a 3/0 exterior door or a 4/0 window in a 2×4 wall, code
requires at least a 4×4 header. A 5/0 or 6/0 window requires a 4×6 header. An 8/0 window needs at least a 4×8 header. In 2×6 walls, simply increase the thickness of the header to 5J4 in.

+ Headers can be constructed in manv

/

ways. They must be as wide as the wall in which they are installed. In

4

cold regions, headers are built with gaps so that foam or fiberglass insula­tion can be added. Talk to builders in vour area to find out what’s done

4

locally, and check with the building inspector to make sure the headers you plan to use will meet code.

WALL FRAMING ANATOMY

information on a story pole reduces the chance of error and speeds the entire framing process.

Traffic Loading

Perhaps the most important step in designing a pavement is the estimation of the design traffic. Overestimation of the design traffic results in a thicker pavement than necessary with associated higher costs. Underestimation of traffic results in a thin pavement that will fail prematurely, resulting in higher maintenance and user costs. If the proposed pavement will be used to replace an existing pavement, the design traffic could be a projection of the existing traffic. If the proposed pavement is a new loca­tion, the design traffic will have to be estimated on the basis of the proposed use of the pavement. For design purposes, all traffic is equated to an equivalent 18-kip (80-kN) single-axle load, or ESAL. Each vehicle in the expected design traffic volume is converted to an ESAL by an equivalency factor. The equivalency factor is a function of the axle loading, pavement thickness, axle configuration, and terminal serviceability. As dis­cussed in Art. 3.6, the terminal serviceability is an index of the serviceability of a pavement immediately before rehabilitation is needed.

The equivalency factors as given by the AASHTO Pavement Design Guide are pre­sented here for flexible pavements in Tables 3.1 through 3.9, and for rigid pavements in Tables 3.10 through 3.18. For each pavement type, the tables are arranged by axle configuration and terminal serviceability pt. Factors are included for single-axle, tandem-axle, and triple-axle configurations, and for pt values of 2.0, 2.5, and 3.0. In the tables for flexible pavements, the pavement strength is characterized by a pavement structural number (SN), which is defined in Art. 3.7. The use of the tables is illustrated by the following example.

Consider a 30,000-lb (133-kN) transit bus that has a single front axle load of 10,000 lb (44 kN) and a tandem rear axle load of 20,000 lb (89 kN). Before the ESAL can be determined, the pavement thickness or structural number must be known, as well as the terminal serviceability. In an initial design, this necessitates assumptions, and very likely an iteration after the thickness or structural number has initially been determined. In this example, the ESAL is to be determined for a rigid pavement 7 in (178 mm) thick and for a flexible pavement with a pavement structural number of 4. The pt is taken as 2.5. The tables show that, for this case, the equivalency factor for rigid pavement is 0.089 for the front axle (Table 3.13) and 0.220 for the rear axle (Table 3.14). The equivalency factor for flexible pavement is 0.102 for the front axle (Table 3.4) and 0.141 for the rear axle (Table 3.5). Each bus equals 0.089 + 0.220 = 0.309 ESAL for rigid pavement and 0.102 + 0.141 = 0.243 ESAL for flexible pave­ment. A similar analysis would be completed for each vehicle type. A worksheet for making the calculations is provided in Table 3.19, and an example for using the work­sheet is presented in Table 3.20.

The traffic supplied to the designer is usually the total traffic in both directions and all lanes. This traffic needs to be distributed by direction and lane to determine the required pavement thickness. The pavement is first divided by direction by multiplying by the directional factor. In most cases, this factor is equal to 0.5, assuming the loads are distributed equally in both directions. In some cases, the directional factor may be

TABLE 3.1 Axle Load Equivalency Factors for Flexible Pavements, Single Axles, and pt of 2.0

Axle load

Pavement structural number (SN)

kips

kN

1

2

3

4

5

6

2

9

0.0002

0.0002

0.0002

0.0002

0.0002

0.0002

4

18

0.002

0.003

0.002

0.002

0.002

0.002

6

27

0.009

0.012

0.011

0.010

0.009

0.009

8

36

0.030

0.035

0.036

0.033

0.031

0.029

10

44

0.075

0.085

0.090

0.085

0.079

0.076

12

53

0.165

0.177

0.189

0.183

0.174

0.168

14

62

0.325

0.338

0.354

0.350

0.338

0.331

16

71

0.589

0.598

0.613

0.612

0.603

0.596

18

80

1.00

1.00

1.00

1.00

1.00

1.00

20

89

1.61

1.59

1.56

1.55

1.57

1.59

22

98

2.49

2.44

2.35

2.31

2.35

2.41

24

107

3.71

3.62

3.43

3.33

3.40

3.51

26

116

5.36

5.21

4.88

4.68

4.77

4.96

28

125

7.54

7.31

6.78

6.42

6.52

6.83

30

133

10.4

10.0

9.2

8.6

8.7

9.2

32

142

14.0

13.5

12.4

11.5

11.5

12.1

34

151

18.5

17.9

16.3

15.0

14.9

15.6

36

160

24.2

23.3

21.2

19.3

19.0

19.9

38

169

31.1

29.9

27.1

24.6

24.0

25.1

40

178

39.6

38.0

34.3

30.9

30.0

31.2

42

187

49.7

47.7

43.0

38.6

37.2

38.5

44

196

61.8

59.3

53.4

47.6

45.7

47.1

46

205

76.1

73.0

65.6

58.3

55.7

57.0

48

214

92.9

89.1

80.0

70.9

67.3

68.6

50

222

113.

108.

97.

86.

81.

82.

Source: Guide for Design of Pavement Structures, American Association of State Highway

and Transportation Officials, Washington, D. C., 1993, with permission.

greater than 0.5. An example would be an industry where material is hauled in by truck and shipped out by rail. In this case, loaded trucks would be going into the plant and empty trucks would be exiting the plant. The next factor is the lane distribution factor. As more lanes are added to a section of road, the traffic will be more distributed among these lanes. However, trucks tend to use the outermost lane, so the distribution of ESALs is not in proportion to the number of lanes added. Many of the state DOTs have developed lane distribution factors for use in pavement design. The AASHTO Pavement Design Guide presents a range of factors used for lane distribution as given below. It should be noted that for the same traffic, the thickness design will be greater for the pavement with the smaller number of lanes.

Number of lanes in both directions

Percent of 18-kip (80-kN) ESAL traffic in design lane

1

100

2

80-100

3

60-80

4 or more

50-75

Axle load

Pavement structural number (SN)

kips

kN

1

2

3

4

5

6

2

9

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

4

18

0.0003

0.0003

0.0003

0.0002

0.0002

0.0002

6

27

0.001

0.001

0.001

0.001

0.001

0.001

8

36

0.003

0.003

0.003

0.003

0.003

0.002

10

44

0.007

0.008

0.008

0.007

0.006

0.006

12

53

0.013

0.016

0.016

0.014

0.013

0.012

14

62

0.024

0.029

0.029

0.026

0.024

0.023

16

71

0.041

0.048

0.050

0.046

0.042

0.040

18

80

0.066

0.077

0.081

0.075

0.069

0.066

20

89

0.103

0.117

0.124

0.117

0.109

0.105

22

98

0.156

0.171

0.183

0.174

0.164

0.158

24

107

0.227

0.244

0.260

0.252

0.239

0.231

26

116

0.322

0.340

0.360

0.353

0.338

0.329

28

125

0.447

0.465

0.487

0.481

0.466

0.455

30

133

0.607

0.623

0.646

0.643

0.627

0.617

32

142

0.810

0.823

0.843

0.842

0.829

0.819

34

151

1.06

1.07

1.08

1.08

1.08

1.07

36

160

1.38

1.38

1.38

1.38

1.38

1.38

38

169

1.76

1.75

1.73

1.72

1.73

1.74

40

178

2.22

2.19

2.15

2.13

2.16

2.18

42

187

2.77

2.73

2.64

2.62

2.66

2.70

44

196

3.42

3.36

3.23

3.18

3.24

3.31

46

205

4.20

4.11

3.92

3.83

3.91

4.02

48

214

5.10

4.98

4.72

4.58

4.68

4.83

50

222

6.15

5.99

5.64

5.44

5.56

5.77

52

231

7.37

7.16

6.71

6.43

6.56

6.83

54

240

8.77

8.51

7.93

7.55

7.69

8.03

56

249

10.4

10.1

9.3

8.8

9.0

9.4

58

258

12.2

11.8

10.9

10.3

10.4

10.9

60

267

14.3

13.8

12.7

11.9

12.0

12.6

62

276

16.6

16.0

14.7

13.7

13.8

14.5

64

285

19.3

18.6

17.0

15.8

15.8

16.6

66

294

22.2

21.4

19.6

18.0

18.0

18.9

68

302

25.5

24.6

22.4

20.6

20.5

21.5

70

311

29.2

28.1

25.6

23.4

23.2

24.3

72

320

33.3

32.0

29.1

26.5

26.2

27.4

74

329

37.8

36.4

33.0

30.0

29.4

30.8

76

338

42.8

41.2

37.3

33.8

33.1

34.5

78

347

48.4

46.5

42.0

38.0

37.0

38.6

80

356

54.4

52.3

47.2

42.5

41.3

43.0

82

365

61.1

58.7

52.9

47.6

46.0

47.8

84

374

68.4

65.7

59.2

53.0

51.2

53.0

86

383

76.3

73.3

66.0

59.0

56.8

58.6

88

391

85.0

81.6

73.4

65.5

62.8

64.7

90

400

94.4

90.6

81.5

72.6

69.4

71.3

TABLE 3.3 Axle Load Equivalency Factors for Flexible Pavements, Triple Axles, and pt of 2.0

Axle load

Pavement structural number (SN)

kips

kN

1

2

3

4

5

6

2

9

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

4

18

0.0001

0.0001

0.0001

0.0001

0.0001

0.0001

6

27

0.0004

0.0004

0.0003

0.0003

0.0003

0.0003

8

36

0.0009

0.0010

0.0009

0.0008

0.0007

0.0007

10

44

0.002

0.002

0.002

0.002

0.002

0.001

12

53

0.004

0.004

0.004

0.003

0.003

0.003

14

62

0.006

0.007

0.007

0.006

0.006

0.005

16

71

0.010

0.012

0.012

0.010

0.009

0.009

18

80

0.016

0.019

0.019

0.017

0.015

0.015

20

89

0.024

0.029

0.029

0.026

0.024

0.023

22

98

0.034

0.042

0.042

0.038

0.035

0.034

24

107

0.049

0.058

0.060

0.055

0.051

0.048

26

116

0.068

0.080

0.083

0.077

0.071

0.068

28

125

0.093

0.107

0.113

0.105

0.098

0.094

30

133

0.125

0.140

0.149

0.140

0.131

0.126

32

142

0.164

0.182

0.194

0.184

0.173

0.167

34

151

0.213

0.233

0.248

0.238

0.225

0.217

36

160

0.273

0.294

0.313

0.303

0.288

0.279

38

169

0.346

0.368

0.390

0.381

0.364

0.353

40

178

0.434

0.456

0.481

0.473

0.454

0.443

42

187

0.538

0.560

0.587

0.580

0.561

0.548

44

196

0.662

0.682

0.710

0.705

0.686

0.673

46

205

0.807

0.825

0.852

0.849

0.831

0.818

48

214

0.976

0.992

1.015

1.014

0.999

0.987

50

222

1.17

1.18

1.20

1.20

1.19

1.18

52

231

1.40

1.40

1.42

1.42

1.41

1.40

54

240

1.66

1.66

1.66

1.66

1.66

1.66

56

249

1.95

1.95

1.93

1.93

1.94

1.94

58

258

2.29

2.27

2.24

2.23

2.25

2.27

60

267

2.67

2.64

2.59

2.57

2.60

2.63

62

276

3.10

3.06

2.98

2.95

2.99

3.04

64

285

3.59

3.53

3.41

3.37

3.42

3.49

66

294

4.13

4.05

3.89

3.83

3.90

3.99

68

302

4.73

4.63

4.43

4.34

4.42

4.54

70

311

5.40

5.28

5.03

4.90

5.00

5.15

72

320

6.15

6.00

5.68

5.52

5.63

5.82

74

329

6.97

6.79

6.41

6.20

6.33

6.56

76

338

7.88

7.67

7.21

6.94

7.08

7.36

78

347

8.88

8.63

8.09

7.75

7.90

8.23

80

356

9.98

9.69

9.05

8.63

8.79

9.18

82

365

11.2

10.8

10.1

9.6

9.8

10.2

84

374

12.5

12.1

11.2

10.6

10.8

11.3

86

383

13.9

13.5

12.5

11.8

11.9

12.5

88

391

15.5

15.0

13.8

13.0

13.2

13.8

90

400

17.2

16.6

15.3

14.3

14.5

15.2

Axle load

Pavement structural number (SN)

kips

kN

1

2

3

4

5

6

2

9

0.0004

0.0004

0.0003

0.0002

0.0002

0.0002

4

18

0.003

0.004

0.004

0.003

0.002

0.002

6

27

0.011

0.017

0.017

0.013

0.010

0.009

8

36

0.032

0.047

0.051

0.041

0.034

0.031

10

44

0.078

0.102

0.118

0.102

0.088

0.080

12

53

0.168

0.198

0.229

0.213

0.189

0.176

14

62

0.328

0.358

0.399

0.388

0.360

0.342

16

71

0.591

0.613

0.646

0.645

0.623

0.606

18

80

1.00

1.00

1.00

1.00

1.00

1.00

20

89

1.61

1.57

1.49

1.41

1.51

1.55

22

98

2.48

2.38

2.17

2.09

2.18

2.30

24

107

3.69

3.49

3.09

2.89

3.03

3.27

26

116

5.33

4.99

4.31

3.91

4.09

4.48

28

125

7.49

6.98

5.90

5.21

5.39

5.98

30

133

10.3

9.5

7.9

6.8

7.0

7.8

32

142

13.9

12.8

10.5

8.8

8.9

10.0

34

151

18.4

16.9

13.7

11.3

11.2

12.5

36

160

24.0

22.0

17.7

14.4

13.9

15.5

38

169

30.9

28.3

22.6

18.1

17.2

19.0

40

178

39.3

35.9

28.5

22.5

21.1

23.0

42

187

49.3

45.0

35.6

27.8

25.6

27.7

44

196

61.3

55.9

44.0

34.0

31.0

33.1

46

205

75.5

68.8

54.0

41.4

37.2

39.3

48

214

92.2

83.9

65.7

50.1

44.5

46.5

50

222

112.

102.

79.

60.

53.

55.

Source: Guide for Design of Pavement Structures, American Association of State Highway

and Transportation Officials, Washington, D. C., 1993, with permission.

Abbreviated procedures for determining ESALs have been developed by several states. These procedures usually involve grouping classifications of trucks into several categories and assigning an average equivalency factor to these categories. For example, Ohio groups trucks into two categories, single, or C units, and tractor-trailer, or B combina­tions. The average equivalency factors used by Ohio for these two categories are shown in Table 3.21.

Thermal Diffusivity, a

The thermal diffusivity, a (m2/s), is the ratio between thermal conductivity (X) and thermal capacity (c):

a = X/c (4.3)

It, thus, measures the ability of a material to conduct thermal energy relative to its ability to store thermal energy. Soils of large a will respond quickly to changes in their thermal environment, while materials of small a will respond more sluggishly. From a physical point of view the thermal diffusion of a medium is indicative of the speed of propagation of the heat into the body during temperature changes. The higher the value of a, the faster propagation of heat within the medium.

For example, during sunny days the pavement surface temperature will show strong daily oscillation and in soils and pavement materials with a high thermal diffusivity this oscillation penetrates to a greater depth.

PARAMETERS FOR AASHTO PAVEMENT DESIGN

The AASHTO pavement design equations have some variables that are common to both rigid and flexible pavements, including serviceability, traffic loading, reliability, overall standard deviation, and roadbed soil resilient modulus. These parameters are discussed in the following articles. Subsequently, the design procedure is presented for rigid pavements in Art. 3.6 and for flexible pavements in Art. 3.7.

3.3.1 Serviceability

The AASHTO design equations are developed around the concept of serviceability, which serves as the pavement performance parameter by which a pavement’s condition is valued. Present serviceability is defined as the momentary ability of a pavement to serve traffic. The present serviceability rating (PSR) was developed to measure service­ability. PSR is a rating of pavement ride based on a scale of 0, for impassible, to 5, for perfect. For the development of the original AASHO equation, individuals (the raters) would ride the pavements and assign a PSR value. To avoid riding and rating every pavement to determine serviceability, a relationship is usually developed between PSR and measurable pavement attributes. The value determined by this relationship is called the present serviceability index (PSI). At the AASHO Road Test, the PSI was derived to be related to slope variance, cracking, and patching for concrete pavements, and to slope variance, rutting, cracking, and patching for asphalt pavements. The relationship between pavement thickness and serviceability index is defined by the AASHTO pavement design equations.

Mechanistic-Empirical Pavement Design

AASHTO has given interim approval for a new approach to pavement design as described in the AASHTO Interim Mechanistic-Empirical Pavement Design Guide Manual of Practice. Several years in development, this M-E pavement design guide and the accompanying software should provide a significant advancement in pavement performance prediction. As its title implies, mechanistic-empirical models are used to analyze input data for traffic, climate, materials, and the proposed pavement structure, and then to estimate pavement service life damage. The distress prediction models have been calibrated to national averages based on data gathered by the Long-Term Pavement Performance program. However, for the distress models to be fully applica­ble for the particular materials, construction practices, and environmental conditions in a given region, they must be calibrated with local data. The program can best be used by knowledgeable practitioners as application experience is gained. The tradi­tional methods are the focus of this handbook.

Thermal Capacity, c

Thermal capacity characterises the ability of a material to store or release heat. It is the important property that relates to the delay in heat transfer. The thermal capacity of water is approximately twice as high as that for most minerals and for ice, while the thermal capacity of air is negligible.

Thermal Capacity, c

Temperature (°С)

Thermal Capacity, c

Volumetric water content, в

Fig. 4.2 Typical relationships between thermal conductivity and ice content (top) and between thermal conductivity and water content (bottom) (Hansson et al., 2004). Credit: the Vadose Zone Journal, published by the Soil Science Society of America

The thermal capacity of saturated soils ranges between 800 and 1000 J/(kg°C) – that is between 2000 and 2400 J/(m3°C) – while dry soils exhibit values of between 300 and 1600 J/(m3°C).

Step 16-Plumb & Line (continued)

Racking Brace

 

Do not let brace protrude above double plate.

 

Two 16d nails in top plate.

 

One 16d nail in center if it is a bearing wall or exterior wall.

 

Step 16-Plumb & Line (continued)

Подпись: Two 16d nails into bottom plate once the wall is plumbed.Step 16-Plumb & Line (continued)

Use crowbar to rack brace and wall. Turn brace around if wall

needs to be racked in other direction.

Racking a wall is moving the top of the wall with the bottom secure until the wall is plumb.

One framer racks the wall with a brace and crowbar, while the second framer checks for plumb.

Porosity, n

Because the thermal conductivity of minerals is much higher than that of water and air, thermal conductivity of soil decreases with increasing porosity.

4.3.2 Degree of Water Saturation, Sr

The thermal conductivity of air in a soil or aggregate’s pores is negligible but the conductivity increases with increasing degree of water saturation.

Fine soils generally have a high porosity and a low quartz content and, conse­quently, the thermal conductivity of dry clay and silt is low. However, the fine pores of these soils more easily hold a higher amount of water and fine soils typically deliver thermal conductivities in the same range as other soils.

4.3.3 Temperature, T

The thermal conductivity of ice is four times higher than that of water and con­sequently the thermal conductivity of soils with a high degree of water saturation increases dramatically at or below freezing. Here it should be kept in mind, that fine soils at temperatures below 0°C can still hold a large amount of unfrozen water and that thermal conductivity increases, therefore, progressively with decreasing temperature. Coarse soils typically have low degrees of water saturation and thermal conductivity does not increase significantly at freezing.

A typical relationship between thermal conductivity and water and ice content is shown in Fig. 4.2. The relationships shown assume only ice or only water, respectively.

Designing an Aggregate Mix Less than 2 мм

When designing the gradation of aggregate smaller than 2 mm (filler and fine aggre­gate), it should be kept in mind that the excellent properties that allow SMA to resist permanent deformation are connected mainly with a coarse aggregate skeleton. Mastic made of filler, fine aggregate, and binder should play the role of bonding and sealing the coarse aggregate, while its quantity cannot be greater than the free space left among the compacted active grains. See Chapter 7 for a discussion of the Dutch method of designing the volume of mastic in SMA.

Conclusions Concerning Heat Transfer

For pavements, conduction of heat is the most important factor for heat transfer. During warm and sunny summer days though, the temperature of a pavement base layer under a thin asphalt concrete, may reach high values and natural convection in a fairly permeable base layer should not, then, be neglected.

4.3 Thermal Conductivity, X

Mineral content, porosity, degree of water saturation and temperature affect the ther­mal conductivity of soils. The total conductivity is a function of the conductivity of each soil phase, solid grains, water and gas. Various equations for these mixtures have been proposed by Keey (1992) and Krischer (1963). Thermal conductivity values range between 1 and 4 W/m°C for saturated soils, and from 0.2 to 0.4 W/m°C for dry soils.

4.3.1 Mineral Content

Because thermal conductivity of quartz is 3-4 times higher than that of other min­erals the quartz content of a soil greatly affects the thermal conductivity. Typically, cohesive soils have a low quartz content while the quartz content of a fine sand is normally high.