HomeMy WebLinkAboutStructural Calculation Job No.160827/160827R1 - BLD Engineering / Geo-tech Reports - 7/18/2007 CE ENG
POST FRAME BUILDING
STRUCTURAL CALCULATION
(This structure has been analyzed and designed for structural adequacy only.)
PROJECT No.
160827R1
BUILDING OWNER 1 LOCATION:
Joseph Plant
81 NE Munson Blvd
Belfair, WA 98528
CLIENT:
Sound Building Systems, Inc.
3546 Thorndyke Rd
Port Ludlow, V11A 98365
ENGINEER:
7
;Ar ?•�'
Property of Alliance Engineering of Oregon, Inc. Unauthorized duplication prohibited.
Copyright 0 Alliance Engineering of Oregon, Inc.
2700 Market Street N.E. Alliance Engineering of Oregon, Inc. Phone: (503) 589-1727
Salem, OR 97301 www.aeoregon.com Fax: (503) 589-1728
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POST FRAME BUILDING SUMMARY:
This is a post-frame building with wooden trusses or rafters and preservately treated posts that
are pressure treated for burial. Post size,post embedment depth,post hole diameter and
backf ill is given in the body of the calculation. The posts will be modeled as cantilevers that
are fixed at the base. The post frames will be assumed to act as a unit. 'Wind loads will be
imposed on the windward and leeward sides of the building simultaneously. If there is no
concrete floor,the concrete backfill will provide lateral constraint in the windward and leeward
direction. If a concrete floor is used, lateral restraint for the post will be provided at the ground
line by the concrete floor.
REFERENCES:
1. 2006 Edition of the International Building Code
2. ASCE 7-05- Minimum Design Loads for Buildings and Other Structures
American Society of Civil Engineers, 2006
3. 2001 Edition, National Design Specification (NDS)Supplement For Wood
Construction,American Wood Counsel
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DESIGN INPUT VALUES:
Building Dimensions
Whj,,g 24 ft Width of Building
1-bldg 36 ft Length of Building
116ldg 10 ft Eave Height of Building
O,Crl,.g;- 13 in Length of Eave Overhang
RP[t`h_- 4 1 12 Roof pitch
13„V:= 12 ft Greatest nominal spacing between eavewall posts
Design Loads for Building:
Wind ]Design Values:
Fastest wind speed(3 second gust)
Vwind :_ 85 MPH
Wind Exposure:
"POWN.
Roof Load Design Valves:
pg:= 25 lbs Ground snow load
pd;= 3 Ibs Roof dead load
pd2.= 0 Ibs Additional truss bottom chord dead load(if applicable)
Seismic Design Values:
S$ := 125.1 Mapped spectral acceleration for short period
Sl := 44.2 Mapped spectral acceleration for 1 second period
1L 1.0 Importance factor
w = Dead load of building (See analysis below)
Re 1.5 Response modification factor
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DESIGN INPUT VALUES (Continued).
Structural Members for Bui14ing:
Post Properties:
P,,dth:= 6 in Post width y-axis POST SIZE (Solid rough-sawn Hem-Fir post
PJnpth !
6 in Post depth x-axis unless otherwise specified)
-
Grade "2" Grade of Post(2, 1, or SS= Select Structural)
Purlin Proaerfms: Girt Properties:
Putlin_%,wuing 24 in Gut_sN"R== 23 in
Sptu'iin Sx26 Sol Sy26
1�pu&i; 1 bDH2dim rdrl = 1 bH}2dim
Footing and Post Hole Design Values:
q,ij:= 1500 psf Assumed soil vertical beating capacity
sd,,, = 150 psf Assumed soil lateral bearing capacity
d;._f..,i.g := 2 fit Main truss post footing diameter
Slab and backfill information
Concrete slab = "Yes"
Concrete_backfill� "No" Backfill in main posts
(GO TO LAST PAGE FOR SUMMARY OF RESULTS)
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SNOW LOAD ANALYSIS:
Design per ASCE 7-05
For roof slopes greater than 5 degrees,and less than 70 degrees.
pg = 25 psf Ground Snow Load (from above)
C� 1.0 Exposure factor
ct:= 1.0 Thermal Factor
Cy = 1.00 Roof slope factor
1,:= 1.0 Importance factor
pf= Flat roof snow load, psf(see analysis below)
p6= Sloped roof snow load, psf(see analysis below)
1. Determine pf and ps
P f:= .7•C.-Ct-L-Pg pf= 17.5 psf Flat roof snow load Note: This is NOT the snow
a C = 17.5 psf Sloped (balanced) roof snow load load used for design -See
F a Pt a Fd pg, at bottom of page.
2_Determine the unbalanced snow load
Wrid^v Wbldg Waaga= 12 ft Horizontal distance from eave to ridge
Note: If Wrldge<20',use Method 1 to determine unbalanced snow load, otherwise use Method 2
Method 1
Paul l 'Pg P", = 25 psf Unbalanced snow load for buildings with Wrld..< 20'
Method 2
The unbalanced snow load will occur from the ridge to a distance IS,and intensity, ps„z as follows'
hd = 1.56 ft Height of drifted snow
7 = 17.25 pcf Snow density
S = 3 ft Run in roof for a rise of 1
Is = 7.2 ft Distance of unbalanced snow from ridge (if applicable-see below)
P"u2= 33 psf Unbalanced snow load for buildings with 11Vndse>20'
Final unbalanced snow load
P"= 25 psf Final (roof)snow load used for design of structural members
and connections as required per Chapter 7 of ASCIr 7.05
Application of snow load to building
The snow load, pg,,was calculated using Method= l , therefore the final roof snow load used for design
shall be Distribawd = "across entire building width"
If Method 2 is used,the remainder of roof shall be designed using no less than p, = 25 psf snow load
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WIND ANALYSIS:
Design per ASCE 7-05
Method 2-Analytical procedure
1 -1= 1.0 Importance factor
V,,;,,d = 85 Basic Wind Speed
kd:= .85 Wind Directionality Factor
k", 1.0 Topographic Factor
k,= 0.701 Wind Exposure Factor
2
qh:= 00256-kz,,kckj,V,,,;r,d ,I . Velocity Pressure
qj,= 11-01 psf
Calculated Wind Pressures:
Windward Eave Wall: Leeward Eave Wall:
qw.v'= %-GCpf%,, g,w (L,-GCpgw
q,= 5.69 psf yta, _ -4.58 psf
Windward Gable Wall: Leeward Gable Wall:
gwwg ql,-GCpfwwg gtw-g yh-GCFrj,vg
y1N15g = 4.41 psf cgws- -3.19 psf
Windward Roof: Leeward Roof:
Qwr:= gh•(i:plwr
glr:= cb,-GCprlr
q„,= -7.60 psf
gIr= -5-16 psf
Wall Elements: Roof Elements:
gw.:= cli,-GCFF,,,, q,- gh•GCpj�
gwc= -10.68 psf q,= -14,87 psf
Intemal Wind Pressure +!-
t )
gi gli GCpi
q; = 1.98 psf
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BUILDING MODEL:
a;= B,y 12 a = 14.4, in Bay spacing in inches l.wat bndg= 104 in
0 = 18A deg roof angle from horizontal Hoof= 4 It
CALCULATE TOTAL SIDE SWAY FORCE:
Apply wind loads to the walls to determine moment(Mwin) and fiber stress(fwind)
Calculate the// wind load on the roof.
V rcwF_wind:- (1 goof)'13,y'(4wr— qic) V nwf wins!- —1 1 7 lbs
Calculate the roof wind load on the post
M.&.W:=r!V.�f.id'Lpoa_bM$ K..f Wiw = -12174 in-Ibf
Mnx�1l'ieY1
fAmf",nJ 2. f,, wind= —1.64 psi
Calculate total wind pressure on the walls:
qr ff`j4ww- q1w 5 10,10,qww- t11w} q�= 10.27 psf
a
qtut t2.12 qtt w 10.27 pli
Calculate the total bending stress due to the distributed wind load applied the walls.
2
I-puut ltud••
Mlv.11 ,vidi, '= qu.t - � Mwa11_wi,,d = 55515 in-Ibf
1n•:J!_�i,ul �_ 2 -s fwatl_wind=771 psi
�Y,osl
Calculate the total moment(Mto�and the total fiber stress(ft,).
Mtot Mronf wi,td+Mwall wind Mtet'= 55515 in-Ibf
fmt fM wind + twa11 wind ltot - 771 psi
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SEISMIC CALCULATIONS:
Design per ASCE 7-05
SB = 125.1 Mapped spectral acceleration for short periods (from above)
S, = 44.2 Mapped spectral acceleration for 1-second period (from above)
Ip= lA Importance factor
W= Dead load of building
iz.= 1.5 Response modification factor(from above)
1. Determine the Seismic Design Category
a.Calculate SDS and Spy
For SDS: For SDI'
For S.= 1.25 For Si= 0.44
F,= 1.00 F,= 1.56
SM,g= 1.25 SMi= 0.69
SDs
SDS= 0.83 SDI = 0.46
Seismic_Desip_C&MSwy W "D"
2.Determine the building parameters
Building dead load weight,W:
[ I lihldu
W_= L r\Wbids•I"bWj.(pr•2)] +L�Wbldg'1-bldj +[2.(Wbldg
+ Lbwg)• , 'Pd
W= 4392 Ibf 1J
Building area,Ab:
Ab:= 'bldg-WbldS Ab= 864 fie
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3. Determine the shear force to be applied
a. Determine the structural period,T
1,:= Hbldg--02 T:� TA T = 0.20
b. Detemine the Seismic Response Coefficient, Cs:
Cs is calculated as:
SllS
C.2 = 0,556
But shall not be less than:
Ca1 := .044-Sp$•1E Cal = 0,037
But need not exceed:
SR C,3 = 1,530
3
C',= 0.556
c_Detemine the Seismic Base Shear:
Vbaen_ahnar:= Cm'W Vbnee shear= 2442 Ibf
4. Determine the seismic load on the building:
Per ASCE 7-05 Section 12.3.4.1 &12.3.4.2,for Seismic Design Category's A, B, and C, p=1.0;for
Seismic Design Category D, E, or F, p shall 1.3.
Since Seismic_Desigu Category= "D" , p = 1.3
F=t�- O'�baw ahnar
_ 7 Lbkig
boat cumber: _ — 1
B,V
Pwt number= 4
Et
E:— ___.
1.7 F= 1867 lb
fbL:= _Ws
(P.� n,,,ub,,+b)-S,;Pw fbE= 539 psi This is the seismic load on one post
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'MAIN POST DESIGN:
Calculate allowable unit compression stress, F...
f;,, = 575 psi F,::= Fr 1.1.15
F,= 661 psi Allowable compression stress including load factors
Lva_y.dg= 104 in Bending length of post dp,,= 6 in Minimum unbraced dimension of post
K„:= 0.8 0:=0.8 1z:= 0.3 EW,,,d= 1100000 psi
Ir.:= 1,•I..p.*_Wa I.=83.2 in
,95ELy„�
F,L- ;_ Ff = 1630
1�
�a
-)
Calculate Column Stability Factor,CP:
2
F� F,F F,�
1 + — 1 + — —
k c . 1'
P ' 2 0 2,0 c P
F',,:= F�Cp
F%== 593 psi Allowable compression stress on the post
Wrap= 29 psf Total roof loading
1'm,wp,,= 4050 lbs Axial loading per post due to roof snow load
I'deudpm= 486 Ibs Axial loading per post due to roof dead load
Fb== Fbl'1.6
i'b= 920 psi Allowable bending stress per post including load factors
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Check Load Cases:
Load Case 1:Dead Load+.76" Wind Load+ .75" Snow Load
fbl .75fw fbl = 378 psi Actual bending stress on post
fL:+ 75Pb3U) P%t+ PScahxW 1,:= 98 psi Actual compression stress per post
Apart
CCFALII := — +
17LL CCFALII = 0.70
FD•rl - F,X
Load Case 2:Dead Load+.7" Seismic + .76 Snow Load
!b, :_ .7fbg fb1 = 378 psi Actual bending stress on post
to;= 75PMO%V"+ F'awe�"�, f,�= 98 psi Actual compression stress per post
AF-9t
CCFALL:_ +
t� CC YAL12 = 0.46
Fb
Load Case 3:Dead Load+Wind Load
fbi := f t fbl = 771 psi Actual bending stress on post
I',.- p`=`PM fC= 14 psi Actual compression stress per post
_ tc tbl
CCFALI3 :— ( +
l FLL r r�
FE 1 CCFALI3 = 0.95
F6IL -
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Check Load Cases(conird):
Load Case 4:.Dead Load+ Seismic Load
fbl fbE fbl = 539 psi Actual bending stress on post
fL `..jP I fv= 14 psi Actual compression stress per post
AFL%t
t`CC FAL14 + tbl
Fu:J CCFALI4 = 0.59
FcE
CCFAL14 = 0.59 Less than 1.00 thus OK
Load Case 5: Dead Load+ Snow Load
fb1:= 0 fbl = 0 psi Actual bending stress on post
f,.— P.-P-`+Pdcanpoae fc= 126 psi Actual compression stress per post
2 f
C:CFAL B t° + h t
Fey r tc CCFALI5 = 0.05
f'b-I
CCFALI= 0.85 Less than 1.00 thus OK
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EMBEDMENT FOR MAIN POST:
Calculate the minimum required post embedment depth for lateral loading for the main posts. The
backflll may be gravel, natural or concrete backfill as specified on page 3_
Post_is = "constrained by a concrete;slab" Concrete_backhll= "No" (Input from page 3)
V,, = 616 lbf Lateral shear load at the groundline
N4,= 2313 ft-lbf Moment at the groundline
= 2 ft. Main post footing diameter
150 psf Lateral capacity of soil
Trial depth = 1.5 ft.-The starting depth of the post hole depth.The final post hole depth is determined
by iterating to a final depth, per ASAE EP486.1, as allowed per 2006 IBC.
d,pa,_P.„= 2.4 ft. This is the minimum required post embedment depth for lateral loading
FOOTING DESIGN FOR MAIN POST:
Determine the footing size and depth for vertical bearing for the main posts.
di. fb-*2
Afoot;ng m' 4
Ataot;>,s= 3.14 ft2 Footing area
yaol� = 1500 psf Soil bearing capacity for footing
d;, raoun� = 2 ft Footing diameter
Post-dnPth= 3 ft Minimum required post embedment depth
Ptboting Atb0ting-q.%0jrdiactw yfaotins- 6597 lbf End bearing capacity of footing
Pam,, = 4536 lbf Total footing load
Note that the end bearing capacity(Pf,,,ti,) is greater than the snow load (P�„O,,,). This is OK.
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GIRT DESIGN:
The girts will simple span between posts and loaded horizontally for wind. Calculate bending
stress due to wind loading and determine the adequacy of the gins.
qw.gln:= �I-Wukd_3L" Gi2tl��g 4wr�irt=2.02 pli Lwt wm= 13R in Orientation= "Flat"
1 .Lgirt_span
8 Mgin = 4.816 in-Ibf
fb�ar, M tb&= 2338 psi Stress applied to the girt
Determine the allowable member stress including load factor's.
LI7b'wi.d 1.6 C14 ja= 1-15 CF&= 1.30 Cr:= 1.15 1'r = 850 psi
Fb&:= LDFwj,,4,Cf„gi„{-CW-CI Fg;,, Fb&= 2338 psi > 16girt This is OK.
PURLIN DESIGN:
The purlins simply span between pairs of trusses or rafters. Determine the adequacy of the purlins.
Lp-rj„_yP,,,,= 135 in Bending length of purlin
wp„r1jn= 4.43 pli Distnbuted snow load along top edge of purlin
`��p-ri=�L�1u,_ay�any
Mr,,,,,1iu Mp„rU„= 10096 in-Ibf Bending moment in the purlin
8
fbN fbp„rIi,= 1334 psi Bending stress applied to the purlin
8purlin
Determine the allowable member stress including load factors
LDF..w;= 1.15 C['pudin = 1.30 C,.;= 1.15 CS,purr;r, 1.00 Fp" „_. 900 psi
Fbyurlin== LDF.-CFpwli,►'Cr'Lfuprlin'Fpurlin Fbp, ii,= 1547 psi> fbpurlm This is OK
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MAIN POST CORBEL BLOCK DESIGN:
Determine the required number and size of bolts required in the main post corbel block.
Assume full snow load and dead load on the roof.
Allowable fastener shear capacities
Pbolt �a 1590 Ibf Shear capacity for 5/8"dia.bolts
Pbolt-34'= 2190 Ibf Shear capacity for 3/4" dia. bolts
hbolt lu�= 3600 Ibf Shear capacity for 1" dia. bolts
P16d 122 Ibf Shear capacity for 16d nails
Plod 147 Ibf Shear capacity for 20d nails
Py,,w= 4536 Ibf Combined snow and dead load on corbels
If 5/8 dia. bolts are used:
Nbolwss= 2.5 Number of 518"dia.bolts required in the corbel block
ff 314 dia.bolts are used:
Nbolcva= 1.8 Number of 314 dia. bolts required in the corbel block
If 1 dia. bolts are used,
Nbolulo = 1.1 Number of 1"dia, bolts required in the corbel block
It 20d trails are to be used:
Na;620d = 13.4 number of 20d nails required in each corbel block.
If 16d nails are to be used:
Nai6l6d = 16.2 number of 16d nails required in each corbel block.
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SUMMARY OF RESULTS'
Buildinq Dimensions Building Design Loads
Wbldg = 24 ft (Width of Building) Wind_spccd = 85 MPH Ground—snow—load= 25 psf
41dg= 36 ft (Length of Building) Wind—exposure = "}3" Roof snow_luad 25 psf
Rwof_doad_load= 3 psf
Holds _ 10 ft (Eave Height of Building) Scismic_Design_Calegory= "D11
0vwjwn8= 18 in (Length of Eave Overhang)
Rpit,b = 4 /12 (Roof pitch)
Foaling details:
Post Details
Post size = "6x6" PosT_is - "wasirairied by a concrete slab"
Post grade = "No. 2 Them-Fir" Postdepth= 3.0 ft(Design Post Depth)
Usage = 35 %(Combined stress usage of post) d;, fvcting 4 2 ft(Design Footing Diameter)
Girt Details: Fontingusage = 69 % (Stress usage of footing)
Girt usage= 100 % (Stress usage of wall girt)
Orientation= "Flat"
Perlin Details:
PLu-hn_4sa8G = 86 % (Stress usage of roof purlin for snow loading)
Corbel Blopk Bolts:
Nbolts5B= 2.5 Number of 518" dia.bolts required in the corbel block if used.
Nbolu94 1.8 Number of 3/4" dia.bolts required in the corbel block if used.
Nbolmu = 1.1 Number of 1" dia. bolts required in the corbel block if used.
Ndil420d= 13,4 Number of 20d nails required in each corbel block if used.
Nyit"t6d = 16.2 Number of 16d nails required in each corbel block if used_
SPECIAL NOTE:
The drawings attendant to this calculation shall not be modified by the builder unless authorized in
writing by the engineer_ No special inspections are required_ No structural observation by the
design engineer is required.
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07118/2007 16: 14 5035891728 ALLIANCE ENGINEERING PAGE 01/01
f
ALLV�JCIE ENGINIIEMG
"The Pole Buildin2 Engineering Company"
July 18, 2007
Bryan Adams
Mason County Building 3
426 West Cedar
Shelton, WA 98.584
ENGINEERING CHANGE NOTICE
Alliance Engineering Job No.: 160827
Building Owner. Joseph Plant
Building Address: 81 NE Munson Blvd.
Belfair, WA 98528
Dear Bryan:
Per your request, I have reviewed the calculations for the building located at the above address
with respect to the (2) 44 comer posts, and have found them to be structurally adequate as
designed.
If you have any questions, please contact me.
Sincerely,
Stephe R. Heryford, PE
fit, d
3918ti
f5;41()NA
VWV
r:'XPIRF_S: 12/0^/u
2700 Market Street N.E. Alliance Engineering of Oregon, Inc. Phone: (503) 589-1727
Salem, OR 97301 www.polebuildingengineering.com Pax: (503) 589-1728
I
o
POST FRAME BUILDING
STRUCTURAL CALCULATION
(This structure has been analyzed and designed for structural adequacy only.)
PROJECT No.
160827
BUILDING OWNER / LOCATION:
Joseph Plant
81 NE Munson Blvd
Belfair, WA 98528
CLIENT:
Sound Building Systems, Inc.
3546 Thorndyke Rd
Port Ludlow, WA 98365
ENGINEER:
w
GO Ai °� d
.0�0 RFC 9188
FSSION AL
EXPIRES: 12/04/ �----'
Property of Alliance Engineering of Oregon, Inc. Unauthorized duplication prohibited.
Copyright Alliance Engineering of Oregon, Inc.
9 9 9
2700 Market Street N.E. Alliance Engineering of Oregon, Inc. Phone: (503) 589-1727
Salem, OR 97301 www.aeoregon.com Fax: (503) 589-1728
6/23/2007 160827(Plant)24x36x10 xmcd 1
POST FRAME BUILDING SUMMARY:
This is a post-frame building with wooden trusses or rafters and preservately treated posts that
are pressure treated for burial. Post size, post embedment depth,post hole diameter and
backfill is given in the body of the calculation. The posts will be modeled as cantilevers that
are fixed at the base. The post frames will be assumed to act as a unit. Wind loads will be
imposed on the windward and leeward sides of the building simultaneously. If there is no
concrete floor,the concrete backfill will provide lateral constraint in the windward and leeward
direction. If a concrete floor is used, lateral restraint for the post will be provided at the ground
line by the concrete floor.
REFERENCES:
1. 2006 Edition of the International Building Code
2. ASCE 7-05- Minimum Design Loads for Buildings and Other Structures
American Society of Civil Engineers, 2006
3. 2001 Edition, National Design Specification (NDS) Supplement For Wood
Construction, American Wood Counsel
,
6/23/2007 160827(Plant)24x36x10.xmcd 2
DESIGN INPUT VALUES:
Building Dimensions
Wbldg 24 ft Width of Building
Lbldg:= 36 ft Length of Building
Hbldg:= 10 ft Eave Height of Building
O„ := 18 in Length of Eave Overhang
Rpitoh:= 4 / 12 Roof pitch
Ba,,:= 12 ft Greatest nominal spacing between eavewall posts
Design Loads for Building:
Wind Design Values:
Fastest wind speed(3 second gust)
V,ind:= 85 MPH
Wind Exposure:
EXPMUM _ 'B" /
Roof Load Design Values:
pg:= 25 Ibs Ground snow load
Pd:= 3 Ibs Roof dead load
Paz:= 0 Ibs Additional truss bottom chord dead load(if applicable)
Seismic Design Values:
S,:= 125.1 Mapped spectral acceleration for short period
Sl:= 44.2 Mapped spectral acceleration for 1 second period
IE:= 1.0 Importance factor
W= Dead load of building(See analysis below)
RB:= 1.5 Response modification factor
6/23/2007 160827(Plant)24x36x10.xmcd 3
DESIGN INPUT VALUES (Continued):
Structural Members for Building:
Post Properties:
Pwidth:= 6 in Post width y-axis POST SIZE (Solid rough-sawn Hem-Fir post
Pdepth:= 8 in Post depth x-a)is unless otherwise specified)
Grade := "2° Grade of Post(2, 1,or SS=Select Structural)
Purlin Properties: Girt Properties:
P.din_spaoing:= 24 in Girt_9Pacin9,= 23 in
Spurhn:= SA26 Sgirt Sy26
Fp.lin:= FbDF2dim Fgirt FbHF2dim
Footing and Post Hole Design Values:
gsoil:= 1500 psf Assumed soil vertical bearing capacity
Sfi0i1= 150 psf Assumed soil lateral bearing capacity
dia_footing:= 2 ft Main truss post footing diameter
Slab and backfill information
Concrete slab = "Yes"
Concrete backfill= "No" Backfill in main posts
(GO TO LAST PAGE FOR SUMMARY OF RESULTS)
6/23/2007 160827(Plant)24x36x10.xmcd 4
SNOW LOAD ANALYSIS:
Design per ASCE 7-05
For roof slopes greater than 5 degrees,and less than 70 degrees.
pg= 25 psf Ground Snow Load(from above)
Cc:= 1.0 Exposure factor
Ct:= 1.0 Thermal Factor
Cs = 1.00 Roof slope factor
I�:= 1.0 Importance factor
pf= Flat roof snow load,psf(see analysis below)
ps= Sloped roof snow load,psf(see analysis below)
1. Determine pf and ps
pf .TCe Ct-k-pg pf= 17.5 psf Flat roof snow load Note:This is NOT the snow
PS== prCS p$= 17.5 psf Sloped(balanced)roof snow load load used for design -See
psu at bottom of page.
2.Determine the unbalanced snow load
NA 14dg
Wridge= 12 ft Horizontal distance from eave to ridge
Note: ff Wridge<20',use Method 1 to determine unbalanced snow load,otherwise use Method 2
Method 1
psut:= IsTg p., = 25 psf Unbalanced snow load for buildings with Whdge<20'
Method 2
The unbalanced snow load will occur from the ridge to a distance Is,and intensity,psu2 as follows:
hd= 1.56 ft Height of drifted snow
y = 17.25 pcf Snow density
S = 3 ft Run in roof for a rise of 1
Is = 7.2 ft Distance of unbalanced snow from ridge(if applicable-see below)
p,.2= 33 psf Unbalanced snow load for buildings with Wridg.>20'
Final unbalanced snow load
p.= 25 psf Final(roof)snow load used for design of structural members
and connections as required per Chapter 7 of ASCE 7-05
Application of snow load to building
The snow load,psu,was calculated using Method= I ,therefore the final roof snow load used for design
shall be Distributed= "across entire building width"
If Method 2 is used,the remainder of roof shall be designed using no less than ps = 25 psf snow load
6/23/2007 160827(Plant)24x36x10.xmcd 5
WIND ANALYSIS:
Design per ASCE 7-05
Method 2-Analytical Procedure
Iµ,:= 1.0 Importance factor
Vwim = 85 Basic Wind Speed
kd:= .85 Wind Directionality Factor
kn= 1.0 Topographic Factor
kZ= 0.701 Wind Exposure Factor
2
qh:= .00256•k -kn•kd'Vwind '1w Velocity Pressure
qh= 11.01 psf
Calculated Wind Pressures:
Windward Eave Wall: Leeward Eave Wall:
gww gh'GCpfww glw:= gh'CCpflw
q,,= 5.69 psf qlw= —4.58 psf
Windward Gable Wall: Leeward Gable Wall:
gwwg gh'GCpg glwg:= gh•GCpflwg
gwwg= 4.41 psf glwg= —3.19 psf
Windward Roof: Leeward Roof:
qwr:= gh•CrCpfwr qlr:= gh•GCpflr
qwr= —7.60 psf
qlr= —5.16 psf
Wall!Elements: Roof Elements:
qwe gh'CCpiw qr gh.GCpfr
qwe= -10.68 psf qr= —14.87 psf
Internal Wind Pressure
qi:= gh'GCpi
qi= 1.98 psf
6/23/2007 160827(Plant)24x36x10.xmcd 6
BUILDING MODEL:
a:= Bay 12 a = 144 in Bay spacing in inches Lpd_bdg= 104 in
C- = 18.4deg roof angle from horizontal f4.f= 4 It
CALCULATE TOTAL SIDE SWAY FORCE:
Apply wind loads to the walls to determine moment(Mwin) and fiber stress(fwind)
Calculate the wind load on the roof.
V B
roof wind:- Nroof1 a (qwr- qlr uroof wind - 117 IbS
_ l 1 Y\ � -
Calculate the roof wind load on the post
Mroof wind = Vmof wind"Lpost bd.- Mroof wind= -12174 in-lbf
Mroof_%x ind
troof mnd
'_ ti fir wino = —95 psi
,�„t
Calculate total wind pressure on the walls:
qe iggww— qlw< 10,10,qww— qlw) qe= 10.27 psf
a
qkt qe'
l2 12 gtot = 10.27 pli
Calculate the total bending stress due to the distributed wind load applied the walls.
Lpust._bnde=
K%all-"ind ` gtot" Mwall-wind = 55515 in-Ibf
Kull tcind
llcall_mad fwall wind = 434 psi
- slxiA
Calculate the total moment(Mtot)and the total fiber stress(ftot).
Mtot:= Mronf wind + Mwall wind Mtot= 55515 in-Ibf
ftot frnof wind + fwall wind ftot= 434 psi
L
6/23/2007 160827(Plant)24x36x10.xmcd 7
SEISMIC CALCULATIONS:
Design per ASCE 7-05
Sg = 125.1 Mapped spectral acceleration for short periods(from above)
St = 44.2 Mapped spectral acceleration for 1-second period(from above)
IF = 1.0 Importance factor
W= Dead load of building
Rs = 1.5 Response modification factor(from above)
1. Determine the Seismic Design Category
a. Calculate SDS and SD1
For SDS: For Sot:
For S$ = 1.25 For SI = 0.44
Fa= 1.00 F,= 1.56
SMs:= Ss-Fa
SMl := SIT,
SMs= 1.25 SMI = 0.69
SDS:= i)'SAvi Sm := f "11%11
Svs= 0.93 SDI = 0.46
Seismic_Design_Category= "D"
2. Determine the building parameters
Building dead load weight,W:
W g 2 + + + H
bldg
W:= 2
Pd
W= 4392 Ibf ��JJ
�� bld 'I-bldg� �Pf• �� 1(Wb1dg'Lb1dg) [2-(Wbldg I-bldg� 2 '
Building area,Ab:
Ab:= L-bldg'Wbldg Ab = 864 ft2
6/23/2007 160827(Plant)24x36x10.xmcd 8
3. Determine the shear force to be applied
a. Determine the structural period,T
Ta Hbldg-.02 '1' T. T = 0.20
b. Detemine the Seismic Response Coefficient, Cs:
Cs is calculated as:
ADS
Cs2 = 0.556
Ip
But shall not be less than:
Cst := .044•SDS"E Cgt = 0.037
But need not exceed:
SM
:= CO = 1.530
R�
T IF
Cs = 0.556
c. Detemine the Seismic Base Shear:
Vbase_A.= Cr-W Vbase sheaz= 2442 Ibf
4. Determine the seismic load on the building:
Per ASCE 7-05 Section 12.3.4.1 & 12.3.4.2,for Seismic Design Category's A, B,and C,p=1.0;for
Seismic Design Category D, E,or F, p shall 1.3.
Since Seismic_Design—Category= "D" , p = 1.3
Et p'Vbase shear
p " I-btdg — 11
,krt number�_ — J
Hat
post number= 4
Et
E := -
1.7 E = 1867 lb
E•Lpost bndg
fbE post number'Sxpost fbE = 759 psi This is the seismic load on one post
6/23/2007 160827(Plant)24x36x10.xmcd 9
MAIN POST DESIGN:
Calculate allowable unit compression stress, F.,
Fej = 575 psi F,:= Fct-1.15
Fe= 661 psi Allowable compression stress including load factors
Lpsst b,dg= 104 in Bending length of post dpmt= 8 in Minimum unbraced dimension of post
Ke:= 0.8 c := 0.8 KeE := 0.3 EH,,,d= 1100000 psi
le Ke-Lpost bndg Ie= 83.2 in
FcE := KcE- , FcE = 2898
Iz
d�
Calculate Column Stability Factor,Cp:
1 + FcE 1 FcE FcE+
Fc Fc Fc
F":= F,-Cp
F,, = 627 psi Allowable compression stress on the post
W,,f= 28 psf Total roof loading
P'no,."= 4050 Ibs Axial loading per post due to roof snow load
Pdeadpost= 486 Ibs Axial loading per post due to roof dead load
Fb:= Fbl-1.6
Fb= 920 psi Allowable bending stress per post including load factors
6/23/2007 160827(Plant)24x36x10.xmcd 10
Check Load Cases:
Load Case 1: Dead Load+ .75*Wind Load+ .75*Snow Load
fbl:= .75ftot fbi = 325 psi Actual bending stress on post
75P�M,«P.,t+ Pd.dpnst
t�:= f,= 73 psi Actual compression stress per post
Ap_,(
,
t�CCFALII := — + fb j
F t� CCFAIJI = 0.38
Fb I — FEE
Load Case 2: Dead Load+ .7*Seismic+ .75* Snow Load
fbl:_ .7fbE Ibt = 531 psi Actual bending stress on post
75Psnowpost + I'JcaJtxnt
f�:= f,= 73 psi Actual compression stress per post
t
t�CCFAL fbl
I2 := — +
Fc, to CCFALI2 = 0.61
Fb I _ F,E
Load Case 3: Dead Load +Wind Load
fb1:= ftot fbl = 434 psi Actual bending stress on post
F'dzadpost
t�:= f,= 10 psi Actual compression stress per post
Apmt
te 2 Ibl
CCFALI3 := —� +
Fcc t- CCFALI3 = 0.47
Fb- I — FEE
6/23/2007 160827(Plant)24x36x10.xmcd 11
Check Load Cases (cont'd):
Load Case 4: Dead Load + Seismic Load
fbl fbE fbl = 759 psi Actual bending stress on post
f)dead�t
fe. f,= 10 psi Actual compression stress per post
Ar.„t
f�
CCFALI4 := fbl— +
Fcc I.
CCFALI4 = 0.83
F�,• 1 — FcE
CCFALI4 = 0.83 Less than 1.00 thus OK
Load Case 5: Dead Load+ Snow Load
fbl:= 0 fbl = 0 psi Actual bending stress on post
fc:= P..pod+ Pd.dp..t f,= 95 psi Actual compression stress per post
CCFALh — +
Fcc t, CCFALI5 = 0.02
Fb 1 F&
CCFAH = 0.83 Less than 1.00 thus OK
6/23/2007 160827(Plant)24x36x10.xmcd 12
EMBEDMENT FOR MAIN POST:
Calculate the minimum required post embedment depth for lateral loading for the main posts. The
backfill may be gravel,natural or concrete backfill as specified on page 3.
Post—is = "constrained by a concrete slab" Concrete backfill= 'No" (Input from page 3)
V a= 616 Ibf Lateral shear load at the groundline
Ma= 2313 ft-Ibf Moment at the groundline
2 ft. Main post footing diameter
dia_footing ——
Sgoil = 150 psf Lateral capacity of soil
Trial depth = 1.5 ft.-The starting depth of the post hole depth.The final post hole depth is determined
by iterating to a final depth, per ASAE EP486.1,as allowed per 2006 IBC.
depthl.t= 2.3 ft. This is the minimum required post embedment depth for lateral loading
FOOTING DESIGN FOR MAIN POST:
Determine the footing size and depth for vertical bearing for the main posts.
2
dia footing
Afooting n' 4
Afooting= 3.14 ft2 Footing area
ggoil= 1500 psf Soil bearing capacity for footing
dia_footing = 2 ft Footing diameter
Post depth= 3 ft Minimum required post embedment depth
Pfooting= Afooting'gsoil'dfactor Pfoo►ing= 6597 lbf End bearing capacity of footing
Psnow= 4536 Ibf Total footing load
Note that the end bearing capacity(Pfooting)is greater than the snow load(Psn.). This is OK.
6/23/2007 160827(Plant)24x36x10.xmcd 13
GIRT DESIGN:
The girls will simple span between posts and loaded horizontally for wind. Calculate bending
stress due to wind loading and determine the adequacy of the girts.
CTlrt_;tpal'ing
g«egirt gvvmd girt gwegin= 2.02 pll LgiTt_span= 138 in Orientation= "Flat"
12.12
1 girt span
Iv4girt g"eg'n 8 Mgirt= 4816 in-Ibf
t1wi,t := Mg;rt fb&= 2338 psi Stress applied to the girt
Sort
Determine the allowable member stress including load factors.
1,DFw,111d:= 1.6 Cfirgirt= 1.15 CF&= 1.30 Cr:= 1.15 Fgi1t= 850 psi
Fbgirt := LDFwird•Cf.&-CFgid-Cr-F& Fb& = 2338 psi > fb& This is OK.
PURLIN DESIGN:
The purlins simply span between pairs of trusses or rafters. Determine the adequacy of the purlins.
I,purlin span= 135 in Bending length of purlin
Wpurlin= 4.43 pli Distributed snow load along top edge of purlin
W purlin'Lpurlin_span'
MPUrfi,1:= Mpi u,= 10086 in-Ibf Bending moment in the purlin
f Mpurlm f 1334 psi Bending stress applied to the purlin
bpurlin�= S bpurlin= 9 PP
purlin
Determine the allowable member stress including load factors
LD1'snow:= 1.15 CFpurlin= 1.30 Cr:= 1.15 Cfupurlin= 1.00 Fpurlin= 900 psi
Fbpurlin LDFsnow-CFpurlin'Cr'Cfipurlin Fpurlin Fbpurlin= 1547 psi> fbpurlin This is OK
6/23/2007 160827(Plant)24x36x10.xmcd 14
MAIN POST CORBEL BLOCK DESIGN:
Determine the required number and size of bolts required in the main post corbel block.
Assume full snow load and dead load on the roof.
Allowable fastener shear capacities
Pbolt 58 1590 Ibf Shear capacity for 5/8"dia.bolts
PtAt 34:= 2190 Ibf Shear capacity for 3/4"dia. bolts
Pt.it 10 3600 Ibf Shear capacity for 1"dia. bolts
P16d:= 122 Ibf Shear capacity for 16d nails
Plod:= 147 Ibf Shear capacity for 20d nails
Psnow= 4536 Ibf Combined snow and dead load on corbels
If 5/8 dia.bolts are used:
Nnolft58= 2.5 Number of 5/8"dia. bolts required in the corbel block
If 3/4 dia.bolts are used:
Nb.IW4= 1.8 Number of 3/4"dia.bolts required in the corbel block
If 1 dia. bolts are used:
Nboltsl0= IA Number of 1"dia.bolts required in the corbel block
ff 20d nails are to be used:
Nails Nd= 13.4 number of 20d nails required in each corbel block.
If 16d nails are to be used:
Nailsl6d= 16.2 number of 16d nails required in each corbel block.
6/23/2007 160827(Plant)24x36x10.xmcd 15
SUMMARY OF RESULTS:
Building Dimensions Building Design Loads
Wbldg= 24 ft (Width of Building) Wind speed= 85 MPH Ground—snow—load= 25 psf
_
Lbldg= 36 ft (Length of Building) Windexposwe= "B" Roof snow load= 25 psf
Roof_dead_load= 3 psf
/Hbld Building)— 10 ft (Eave Height of Buildi
g Seismic_Design_Category= "D"
A,,,i g= 18 in (Length of Eave Overhang)
/11,piwh= 4 / 12 (Roof pitch)
Footing Details:
Post Details
Post—size= "6x8" Post—is = "constrained by a concrete slab"
Post—grade= "No. 2 Hem-Fir" Postdepth= 3.0 ft(Design Post Depth)
Usage = 83 %(Combined stress usage of post) dia footing= 2 ft(Design Footing Diameter)
Girt Details: Footingusage= 69 % (Stress usage of footing)
Girt-Usage = 100 % (Stress usage of wall girt)
Orientation = "Flat"
Purlin Details:
Purlin usage= 86 % (Stress usage of roof purlin for snow loading)
Corbel Block Bolts:
Nbolts58= 2.5 Number of 5/8"dia.bolts required in the corbel block if used.
Nbo1W4= 1.8 Number of 3/4"dia.bolts required in the corbel block if used.
Nbottslo= 1.1 Number of 1"dia.bolts required in the corbel block if used.
NailsNd= 13.4 Number of 20d nails required in each corbel block if used.
Nailsl6d= 16.2 Number of 16d nails required in each corbel block if used.
SPECIAL NOTE:
The drawings attendant to this calculation shall not be modified by the builder unless authorized in
writing by the engineer. No special inspections are required. No structural observation by the
design engineer is required.