HomeMy WebLinkAboutBLD2018-00295 - 07 ENGINEERINGI
South Valley Engineering
4742 Libefi Rd. S #151 o Salem, OR.97302
Ph. (s03) 3O2-7o2O o Fax (888) s3s-6341
www.southva I leyeng ineeri ng.com
Proiect No.
1 1 80601 1
Galculations for
Jerry Rubert
125 Cub Rd.
Port Townsend, WA. 98368
Date
612612018
Engineer
t
Owner: Jerry Rubert
Building localior: 125 Cub Rd.
Port Townsend. WA. 98368
Buildinq Description: Private shop
POST FRAMT EUILDING $UMMI\RY SHEET
Date: 6/262018
Proiect No.: 1 1806011
Building Codes: 201518C, ASCE 7-10
40
to
t.5
1.5
4
14
14
Yes
Building dirnensions:
width:
Length:
HeIht:
Eave overhang:
Gable overhang:
Rool pitch:
Greatest bay spacing:
Greatest post tribulary width:
Concrete Slab:
Post & posthole information:
Eave wall
Size:
Grade:
TYPe:
Posthole diameter:
Poslhole depth**:
Posl ConstrainUbackfi ll.
Purlin & girt information:
Purlins
Size:
Grade:
SPacing:
Sheathing information
tn
^Rough Eawn-'To botlom of footing
Environmental information :
Wind speed;
Wind exposure:
Seismic design calegory:(:-9S.
Ground snow
Design Snow
Rooi dead
Soil bearing
Risk
Gable wall
Sze
Poslhole
Posthole
Post
Gtrts
Size & orientalion
Grade
Spacing
MPH
psf.
psl.
psf. (inct. ceiling load if any)
Per Table 1.5-1
ASCE 7-10
"Rough Sawn*'To botom ol footlng
o.c.
2x6
#2D.F
18 in. o.c.
Root: 29 ga. Metal only
Walls:All walls are 29 ga. metal only
1.34
0.54
25
25
1
I
6xB
#2
Slab w/ granular
backfill
6x8
i2H.F
Varies-see
calculations
Flat \nJ12x4 SB EOG
D.F
24
Page 1 of 14
r"-l
t,.l
: -i
r-i
i .l'
! 1l
r.-,_.i
I.
i....-:l
:ii
=.::
i:'
i.....'.1
0
Snow Load Calculations
Snow load calcu[ations per ASCE 7-10 Chapler 7
- Ground Snow Load
Fador from ASCE Table 7-2
Factrcr from ASCE Tabte 7-3
lmportance Faclor from ASCE Table 1 5-2
Flat Roof Snow Load, ft * 0.7 x pn, Cu x C, x l"
ps: 18.4
Pccrsnl 25
psf - Flat Roof Snow Load
Figure 7-2 based on Gr, roof slope and surface
psf-Stoped roof snow load
psf-Oesign Snow Load
Pt:
C.O.BB
21
j':t
-^{
j. f.i
!....-.1
:-t_!
t':
Page 2 ol 14
Wind Pressure Calculations
Wind calculations per ASCE 7-'10 Chapter 28 Parl l : Enclosed and Partially Enclosed Low Rise Buildings
Roof Pitcfr:
Eave Heighl:
4
16
110
B
MPH
Risk Cdego
112
ft.
Design Wind Speed, V:
Wind Exposure:
Velocily pressures e, & er, per equation 28.3"1 :
q.=0.O0256xlqx[,xK1xV2 at eave height z
Qn=0.00256xK5xKrglQxV2 al mean roof height h
Angb: 18.43'
K.: 0.63 Vetocity pressure coefficier$ at eave h1. z from Table 27 "3'1
Kr: 0.70 Velocily pressure coellicient at rool ht h lrom Tabte 27.3-1
Ka: 1-0 Topographic effrect-assume no ridges or escarpments
Ka: 0.85 Wind Direclionality Factor, Table 26^&1
Velocity Pressures: q= 16.53 psf Ql= 18-43 psf
Oetermine Velocity Pressure Coefficients & Wind Pressures per ASCE 7-10 Figure 28.4-l for ifillFRS
iilwFRS
1. Windward Eave Wall Pressure
GCr6,r*: 0.52
3. Windrvard Eave Roof Pressure
{,69
5. Windward Gable Wall:
GCs,*r: 0.40
Components & Claddinq
GCpr: 0.18 lntrernal pressure per Figure 26.11-1
7. Roof elements
€.81
elemenls per Figure 30.4-2B
8. Wall elemenls
elemenls per Figure 30.4-1
2. Leervard Eave Wall:
4. Leeward Eave Roof:
6. Leeward Gable Wall:
4.42
447
!.LJ
E
Q*i 8.54 psf Qr*i {.87 psf
q,;
"11-41 Qr: :1.75
6.61 psfQrr:Qr*i 4.80 psf
Q",r 18.32
i:i
-*t
i.-r,,.1
,:"i
r.....,1r
i '.t
i'j
l. ,r
rrl
|:i
9r.l 20.66
Page 3 of 14
a
a
Seismic Desiqn Parameters
Calculate seismic building loads lrom ASCE 7-10 Section 12.14.8
Seismic Parameters
S"= 1'34
St= 0 54
F=
e-el,ts-
Sos=
Seismic Design
Category=
Areas
Roof area=
Wall area=
1.00
I .JI+
0.89
Sut=
Sor=
1.50
0.81
0.54
per Tables 11.1-1 & 11.4-z
Ca{cu{ated per Section 1'l .4.3
Calculated per Section 11.4.4
O From Section 11.6
Response Modification
Coef{icient, R= 2.5 From Tabb 12.14-1, Section B-24F' 1.0 For 1 story building
Calculale building yieights. Vy', for seismrc forces
Building width= 36 ft.Building length= 40 fl Building eave height= 16 ft.
1,677 sf
608 sf
Roof + ceiling DL=
Walt DL=
Loft DL=
Snow LL (if appliable)=
Roof W= 5,031 lbs
Wall W= 1,824 lbs
Loft W= 0 lbs
\ifa 6,855 lbs loht load for seismic calculation
Catculate Seismic Base Shea( V per Section 12.14"8
V=[{FxSeg/R]xW (Eqn. 12.14-111
V* 2,448 lbs. Seismic base shearior building
Vlb 1,22.4 lbs- Seismic shear load for diaphragm design for one wall
psf
psf
psf
psf
3
U
0
Page 4 of 14
Cliaohraom Stiffness Calculation
The diaphragm slilfness will be calcuhted based on the methodology from'Post Frame Building Design"
by John N. Walker and Frank E. Woeste. This metrod is widely accepled in lhe post frame industry for
determining metal diaphragm sliffness
1. The diaphragm stiffness, q'= (Ext) / [2x(1+u) x (g/p) + (Kr/(bxtf)
Where c'= 31 30 lbslin = Diaphr:agm stiffness of the test panel (1992 Fabral Test for Grandrib Ill)
E= 2.75E+07 psi = Modulus of elaslicity for metal sheathing
t: A.O17 in = Steel thickness for 29 ga metal sheathing
u= 0.3 = Poisson's ratio ior steel
g/p= 1.085 = Ratio of steel corrugalion pitch to steel sheet width
[= 144 in. = Lenglh oltest panel
Ku* - ! Sheet edge purlin fastening consEnt (unknown)
2. Ihe diaphragm for the same melal lor a diflerent length b can be calculat-.d wrth lhe above
above equation once the constant K2 is known. Solving for K2 yields:
K, = [((EK)x{brd)ycl-[Zx{ t *u )x(bxt)2x(glp)Kz = 878 inr
3. The stiffness of the acutal panel will be calculated from equation in 1. above, based on its aclual length. b'
Roof pilch. 4 /12 Buitding width= 36 ft e= 18.43 " roof angle
! = 227.68 in = length of steel roof panel at the given angle for 12 ol lhe roof
c; 7609 lbs/in - stiffness of actual roof diaphragm
4. Calculale the equivalenl horizontal roof stiffness, ch for the entire roof
cn= 2xcx(cos20)x(b'/a)ch= 18.563 lblin a= '168 in. post spacing
5. Calculate the stiffness, k. ol the post frame. r'vhich is the load required for the top of lhe frame a distance, d
For d= 1',, g.p=(6xdxEoxlo)tL3
(: 1 indefleclion used to establish k
Er= | .I Qf+Q6 psi - I.Iodulus of elaslicity of post
ft= 290 lbSin
t-
l-=
?56
180
inl - Momentol inertia of post
in - Bending bnglh of posl
[dcn= 0,0156
6. Determine the side sway force, m0 from tables based on fJch verses number of frames.
Nr= 6 frames in buiHing (including end walls)
mD= 0-95 = calq:lated stiffness of metal roof diaphragm
Since roof sheathing is metal, mD used for calculalions is 0-s5
Page 5 ot 14
a
Post Wind Load Calculation
Determine lhe bending slress on the posl lrom the wind load
17.98
36.401
569
1,213
0.95
1,167
17.1
0.83
lbf-in
mD=
13,416
105
Mpct= 48,140
fu9*r= U7
Windward wall rvind pressure = 8 54 psf
Leeward wall wind pressure = -6.87 psf
Total wind pressure = 15.41 psf
Total wall pressure to use = 15.41 psf (10 psf min. percode)
l-= 180 in Bending length of lhe post
lv=
lr4r"=
lb-pc-
pli
psi
tbf
rbf
pli
pli
Distribuled wind load on the post
Moment as a propped cantilever (w x L2) 1 (2 x 8)
Slress on the post from the di$tirbuted wall wind, = Mpc I Sx
Total side sway force - 3 x w x (L/8)
Stiff ness coefticient from d ia ph ragm stiff ness calculalion,
or 1.0 if wood sheathing in roof
Side sway force resisted by the roof diaphragm : mD x R
The total dbtributed wind {oad resbted by the roof diaphragm = 8 x ((C[(3 x L))
The total distributed nind load NOT resisted by lhe roof diaphragm
for whbh the post musl resist. Wp6g1 : \}{ - wR
The rnoment in the post as a simple cantilever
= ',rp6r X (L2y2) [rh's value is 0 if roof is a lrood diaphragm)
The iiber stress in the post from simple cantilever stress
= Mcrr*{2 x Sr) (This value is 0 if roof is a wood diaph.agm)
The lolal momenl in the posl = (mD x il,ip") * M*,,t
The tcial bending stress on the post = (mD x fur") + f**
ft=
Q=
wR=
lAlgooti
illloa=
leri -
lbf-in
psi
lbfin
psi
Page 6 oi 14
Post Desicn
Determine the allowable bending and compression slresses for the eave wall posts per 2012 NDS
Final Design Values
Fu_o"";snt 920 psi final allowable bending stress
Fc_*sront 539 psi final allowable compression stress
Combined Bending And Compressive (CBAC) Potl Loads by Load Case
Determine the maximum Combined Bending And Compressive stresses in the eave wall post per NDS 3.9.2
using app{icable load cases from ASCE 7-10 Seclion 2.4.
Nominal Oesign Vatues (alloivable)
Fu: 575 psi-bending
F": 575 psi-compression
Load Case 1 - Dead Load + $now
Fu_o1cni 920 psi
Fo-oe*tni 539 psi
Pa.a= 819 lbs
P**= 6825 lbs
{= 48 sqin
Load Case 2 - Dead Load + 0.6Wind
Fb_cu"b^r 920 psi
F"-ouugni 539 psi
Po"ro= 819 lbs
P**= 6825 lbs
{= 48 sq-in
,-lb-
CBAC3'
Max. CBAC=
Adjushent factors per Tabte 4 3 1
C6 for snow 1.15 LOF {or snow
Ce for wind/seismic 1 6 LDF for wind/seismic
CD for post 1.0 Size {actor for posts S 12" in depth
Cp= 0 82 Column stability factor per Section 3.7
Final allowable bending stress
Final allowable compression stress
Dead load
Snow load
Cross-seclional area of post 1,015 psi
F"e= 1.015 Psi
Fce= 1,015 psi
psi : ((.75 x P*) + Poeo)/A
c-I ^E'
psi= {Pe!* + Po*6)/Afu=0 psi=0 f"= 159
CBACl' 00s =((UFc_aos,sn)2)-((f/(Fo-o*iCI(1-(L1F'E))))))
fu= 388 psi=0.6 x fs-*.,f"= 17 psi= P6"ulA
cBAC2= 0.43 =((fJF"_o*uran)2)-{{fJ(Fo*o*isn{1-(t/FcE))))))
Load Case 3 - Dead Load + 0.75(0.6wind) + 0.75snow
Fu_**bnt 920 psi Final allowable bending stress
F"_o"uhni 539 psi Final allowable compression slress
Pana' 819 lbs Dead load
P**= 6825 lbs Snow load
fi= 48 sq-in Cross-seclional area of post
Final allowable bending stress
Finat allowable compression stress
Dead load
Snow load
Cross-sec{ional area of post
291 psi=.75 x (0.6 x fs*o,) f"= 124
0.41 =((fJF"_*"rsn)2)-{(f/(Fo_o*ig,(1-(t/F.E)i})))
43o/o >> Maximum posl usage < 100% OK
Page 7 of 14
Post Embedment Calculation
Determine the minimum poshote diameter and embedment depth for the eave rtall posts
per ASAE EP4B6.1
Since lhere is a slab, the post will be considered constrained at lhe top.
The backfiil will be gravel full depth unless otherwise required for shear wall uplifi.
Oesign Crileria:
Sr=
(:_
MP*t=
V"=
Postho[e dia.=
$=
Ano=
d=
1 500
150
2,407
651
2
0.83
3"14
psf-ve(ical soil bearing capacity
pstlaleral soil bearing capacity
Jl-lbs - Moment at lop of one posthole
lbs-Lateral load on post at top of poslhole
ft.
ft - maximum width of post in soil
ff - area of footing
ft - deph of footing tc be determined below
Per Sections 4 .2.2.1 and 4.2.2.2, alloweble lateral soil bearing capacilies may be increased
by 2for isolaled posts (spaced at leasl 3 ft. apart). and by 1"33 forwind |oading
Sret= 406 psf-factored lateral soil bearing capacity
Minimum embedment depth required ior lateral load. constrained at the top.
gravel backfill, per Seclbn 6.5
d,i,= [(4 x Mpost)(SLAT x b)]^113 dt{.-t=
Allowable vertical soil bearing pressure lor gravily loads
S,= S, x &s x (1+(0.2 x (d-1))
Sy= 1500 psf-vertical soil bearing capacity
A,rs= 314 ftz-area of fooling
d= minimum depth for verlical bearing requiremenls
dep(h requried (or
Maximum vertical load on footing from gravity load
laterat load
Ibs-vertlcal load on footing
Posthole depth for this building =lTdd-lft-minimum depth to bottom of footing
Vertical capacity for footing lbs->Pfooting-OK
3.05
7,64
8,482
Page 8 of 14
Roof and Gable Wall Shear Loads and Diaohraom Oesiqn
Roof
Roof widlh=
H*.r'
Total roof wind pres., 0.6 x P,=
Total roof wind pressure to use=
Total wall wind pressure=
Total wall wind pressure lo use=
Diaphragm seismic load=
Diaphragm wind load=
Gable walls
Gable wall shear load:
Left Gable Wall
Left Gabte wall=
Alloivable sheap
Sheathing faslening=
Right Gable Wall
Right Gable wall=
Albwable shear=
Sheathing fastening=
ft.
ft
psf (0.6 x P,)
psf-use0ifPr<0
psf (0.6 x (q* - q'))
psf - use 0.6 x 16 = 9.6 psi minimum
lbs [0.7 x(Vt?ll
lbs
36
Ann
-22A
4.80
924
9.60
857
1,675
Diaphragm load lo -Wind load conhols
Roof shear- 47 plf
Sheathing= 29 ga. Metal onlY
Albwable shear= 1 13 plf > Roof shear - OK
Sheathing fastening= #9 screws at 9" o.c,
"Use post.bending calculation on followrng pages*use concrete backfill
1.675 lbs (from roof shear load above)
0 plf-see below'
113 plf > Wall shear - OK
#9 screws at 9" o-c.
47 plf
113 pl{ > Walt shear - OK
#9 screws at 9" o.c.
',,,.,1
li i
Pagts I ot 14
Post bendinq calculalion
This calculalion debrmines tre adequacy of the posts to resist the shear load of lhe walls vrhen lhe.e are no
adequate shear panels in tre rvall. The posts are modeled as simple cantilevers. and the load is applied to the
lcp of the post frame system and distribuled throughout all of lhe posts in the ivall as appropriale.
Gable wall with no shear panels {large openings)
lntermediate Dosts
No. intermediate posls= 4
lntermediale post size= 6x8 Oriented parallel
lnterm€diale post grado: #2 H-F to gable wall
Post type= Rough-sawn
li,r-pct= 256 ina
$a-1*t= 64 in3
Oetermine equivalent stiffness of posts based on oost orooerties
Comer posts
No. corner Posts: 2
Corner post size= 6xB
Cornerpostgrade. #zH-F
Post type= Rough-sawn
k*r-1*r= 256
Soom,J:ct= 64
Orienled parallel
to gsble wall
ina
in3
% load dislribuled to each intermediate posl:
o/o load distributed to each corner post=
Bending height, h=
Total bending momenl in frame from wind=
Tolal bending rnoment in Jrame irom seismb=
It,loment io use:
17o/o
174/o
168
281.388 in-lbs
239,874 in-{bs
281,388 in-lbs
ln
lb_ht,pcr-
Fb-k t-.poot=
t-lb-ffiqlst-
c-r b_comr-lEl-
aau
920
71.'
920
psi-bending slress in
each intermediate post
psi-allowable bending slress-OK
psi-bending stress in
each corner po$
psi-allowable bending stress-Ol(
Pa!€ 10 ol 14
1
Eave Wall Ehear Loads and Diaohracm Oesiqn
.@,e!s
Building Length=
Gable wall wind pressure=
Diaphragm seismic load=
Diaphragm wind load=
Diaphragm load lo use=
Front Eave Wall
Front eave vrall=
Allolable shear=
Shealhing fastening=
Rear Eave Wall
Rear eave wall=
Albwable shear=
Sheathing fastening=
ft.
psf - use 0.6 x 16 = 9.6 psf minimum
lbs[07x(Vl2)l
lbs
lbs - Wind load controls
40
9.60
857
174
29 plf
113 plf > Wall shear - OK
#9 screws at 9" o.c.
29 plf
113 plf > Wall shear - OK
#9 screws at 9" o.c.
Pago 11 of 14
174
I
I
Purlin & Girt Calculations
Pur!in Calculation
Rool Pitch:
Roof Angle:
Greatest purlin span:
Purlin S,:
Live + dead load:
Max. o.c, spacing:
M:
fo:
F6 allowable:
End reactions:
Snow load:
Girt Calculation
Greatesl Bay Spacing:
0.G. Spacing:
Girt S,:
Tolal wind pressure.
w:
Girt Span:
lVt:
fo:
F6 allowable:
Purlin usage: S2% OK
4
18-4
161
7.56
28
18
10,758
1,423
1,y7
r,12
in
in3
psf
in. o.c.
in-lbf
psi
psi-per NDS Section 4 and Design Values for Wood Construction
282 lbs lf joist hanging. use LU26 joist hanger w/ 10d nails
or JB26 top{lange joisthangerw/ 10d nails
upllft: 147 lbs Use Simpson H2.5 Hurricane'lle
Girt usage: 76'/t
lbf-in
psi
psi-per NDS $eclion 4 and Design Values for Wood Conslruction
OK
14
24
3.59
12.39
2.47
162
6.777
1,888
2.476
ft
in
in3
psf
pli
in
Page 12 of 14
t
BEARING BLOCK BOLTS IN DOUBLE SHEAR
Calculate required numberof botls. and the correcl bolts spacings and bearing bbck size for the intermediate truss
bearing posts Posls are assumed to be #2 HF: bearing block$ assumed to be #2 HF.
Tolal load
from both lrusses=
Bolt size.
Main member, l.=
Post dePth=
Side membe(s), l"=
No. of fastener columns=
No. of bolts required. ns=
Truss bearing block=
Minimum block length, Lo=
Minimum block width,
Dimension Summarv
Number of bolts,
Btock length,
Block width,
(NOTE: Use 5/8"0, A4"A 718"9 or 1"4 on\)
r.lidth
depth
total for 2 side members
) in block
truss engineering
(no less than 12")
t.[(2x 4)+ d"r"],
< buss bearing block)
,n
(min)
(min)
(min)
(min)
(min)
(min)
(min)
E
7.U4
3t4
t)
I
3
2
3.04
2xo
17.25
AA
5',U4
3
3
1 118
1 1t8
4
17 1t4
s 112
Page 13 of 14
I
GABLE ENT} RAFTER CALCULATION
Calculate rafler size for lhe gable ends using single 2x rafters
Rafler Loads
Rafter span=
No- raflers=
Tributary width=
Dead load=
Live load=
Rafler
Rafter siee= 2x10
Raftergrade= #2A-F
138
2
in
it
psf
psf
pli
'l E,
.)\
17.5
Fu=
Fr=
fo'
fY--
'1,139
247
psi-allowable bending
psi-allowable shear
psi < allowable bending OK
psi < allowable shear 0K
Rafter adequacy
974
131
Page 14 of 14