Project 2, Progress Report due November 5
— David Wagner 2007/11/04 16:18
Structural Configuration
(including preliminary sizes)
The following design details are considered.
- The front windows are assumed to be glass block. Caulking on the top prevents the allowable deflection of the front collar beam from deforming the window.
- Additional beams are used across the long dimension of the structure so there are a total of four roof beams along with the rear masonry wall supporting the rafters.
- A column integral to the central wall extends upward to support the roof beams at midspan.
- Also, supporting columns are placed at ¼- and ¾- points along the interior roof beams so their support is identical to the support of the front collar beam.
- Purlins may be placed between roof beams if the rafters need more lateral bracing.
Construction Sequence
- Prepare the site.
- Pour the foundation.
- Build masonry walls and columns
- Build the roof.
- Pour the slab.
Material Types
- The roof is standing-seam ceramic-coated steel.
- The roof deck is
plywood. - The rafters are
x
lumber. - The roof beams are
x
glulam. - The windows are glass block.
- The walls and supporting columns are standard concrete masonry units (CMU).
Loading
”…several rest areas on a major road from San Antonio to McAllen, Texas.”
Only LRFD analysis is used. [
: Do governing authorities require application of both methods?]
Assume the overhangs are at least 3' on every side, rounded up to a whole number of 4×8 plywood sheets.
- The roof is 45.2×30.2 in plan, nominally 48'x31' a horizontal plane area of 1490 sf.
- The roof slopes 6' over 24' (3-in-12 or 14°), a length of 31.1'. The inclined area is nominally 48×32', 1536 sf.
Dead Loads
| Roofing (14-gage Steel) | 3.3psf |
| ¾” Plywood (¾x3 psf/in) | 2.25 |
| 2×10 @ 16” | 6 |
| Loose Insulation, (8×0.5 psf/in) | 4.0 |
| Acoustical Tiles | 1.0 |
| Total Roof Dead Load D | 16.55 psf |
|---|
Roof Live Load
| Ordinary Roof Live Load Lr | 20 psf |
|---|
–Table 1607.1, IBC 2006
Snow Load
The design ground snow load, pg, ranges from zero to 5 psf in the area of interest. [2006 IBC, Figure 1608.2]
| Snow Load S | 5 psf |
|---|
Wind Loads
Basic wind speed (3-second gust) ranges from 90 to 105 mph in the area of interest. [2006 IBC, Figure 1609] The largest value is more conservative than the 100 mph gust provided in the project description.
Building Geometry
- hmean=16 ft; 0.4 hmean = 6.4 ft; Least horiz. dim. = b=32 ft; 0.1b=3.2 ft
- End zone: a = min(0.4 hmean, 0.1b) = a=3.2 ft
- End zone length = 2a=6.4 ft
Wind Pressures
| Building Height and Exposure, λ | |||
|---|---|---|---|
| Mean Building Height | Exposure | ||
| hmean | B | C | D |
| 15 | 1.00 | 1.21 | 1.47 |
| (interpolated) 16 | 1.00 | 1.23 | 1.49 |
| 20 | 1.00 | 1.29 | 1.55 |
[Figure 6-2, ASCE 7-05]
The roof angle depends to a small degree on the dimensions of the roof members and is taken here conservatively as 15°.
| A | B | C | D | E | F | G | H | EOH | GOH | |
|---|---|---|---|---|---|---|---|---|---|---|
| Basic ps30* | 21.9 | -7.3 | 14.7 | -4.2 | -21.1 | -13.7 | -14.7 | -10.5 | -29.4 | -23.0 |
| Adjusted W (ps)† | 32.5 | -10.8 | 21.8 | -6.2 | -31.4 | -20.4 | -21.8 | -15.6 | -43.7 | -34.2 |
- * from Figure 6-2,ASCE 7-05, h≤60', 105 mph design wind speed, 15° Roof Angle, Load Case 1
- †I=1.0 ; Kzt=1.0 ; λ=
1.486 ; 
from here on
- Zone A:
32.5 psf - Zone C:
21.8 psf
Earthquake Loads
Earthquake loads include 0.2 second spectral response Ss of 1.4 to 10 (<15 %g), and 1.0 second spectral response S1 of <2 to 3 (<4 %g) [2006 IBC, Figure 1613.5(1) and (2)]. Since Ss<15 %g and S1<4 %g, section 11.4.1 of ASCE 7-05, allows the use of seismic design category A.
from here on.
In the shorter dimension, the central dividing wall resists lateral loads.
| Design Parameter | %g | ft/sec² |
|---|---|---|
| Ss | 10 | 3.22 |
| S1 | 3 | 0.97 |
Roof System Design
Roof Load Combinations
Since the vertical wind loads are negative, the wind load combination may be neglected.
| 1.6L + 1.2D | ![]() |
| 1.6L + 1.2D | ![]() |
| 1.6L + 1.2D | ![]() |
| 1.6L + 1.2D | ![]() |
a. Roof joists are 2 x 10 at 16 in. o.c. which directly support the roof sheathing. Loads are (D + S).
This is ASD for Hem-fir
| Symbol | Reference Design Value | CD | CM | Ct | CL | CF | Cfu | Ci | Cr | CP | CT | Cb | Adjusted Design Value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Fb | 850 | 1.15 | 1 | 1 | 1 | 1.1 | 1 | 1 | 1.15 | – | – | – | 1237 |
| Ft | 525 | 1.15 | 1 | 1 | – | 1.1 | – | 1 | – | – | – | – | 664 |
| Fv | 150 | 1.15 | 1 | 1 | – | – | – | 1 | – | – | – | – | 173 |
| Fc⊥ | 405 | – | 1 | 1 | – | – | – | 1 | – | – | – | 1.19 | 782 |
| Fc | 1300 | 1.15 | 1 | 1 | – | 1.0 | – | 1 | – | 1 | – | – | 1495 |
| E | 1.3e6 | – | 1 | 1 | – | – | – | 1 | – | – | – | – | 1.3e6 |
| Emin | 0.47e6 | – | 1 | 1 | – | – | – | 1 | – | – | 1 | – | 0.47e6 |

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