z Purlin Design

Purlin Designation

Purlin Designation

P1P1 JOB No.:JOB No.:

Project

Project

Shree Aman

Shree Aman

DATE :DATE :

Input Data: Purlin Geometry

Input Data: Purlin Geometry

S

Sppaan n oof f tthhe e ppuurrlliinn == .!"".!""MM S

Sppaacciinng g oof f tthhe e ppuurrlliinn == 1.!1.!MM  No. of Sag

 No. of Sag rodrod == ##

S

Sllooppe e oof f tthhe e !!ooooff == $$deg.deg.

 Nu"#er of S

 Nu"#er of Spanpan == 1#1#

$for % or &

$for % or & pan' Bending Mo"ent Coefficipan' Bending Mo"ent Coefficient i (' for ent i (' for ) or "ore pan' it ) or "ore pan' it i %*+i %*+ $in cae of Bending a#out "inor a,i' $No of

$in cae of Bending a#out "inor a,i' $No of pan+,$No of agrod-%+ i ued.pan+,$No of agrod-%+ i ued.

Input Data: %oa&s

Input Data: %oa&s

Dea& %oa&s

Dea& %oa&s 

eeiigghht t oof f SShheeeettiinngg == 1'1'/g01"/g01" S

Seellf f eeiigghht t oof f PPuurrlliinn == AuAuttoo""aattiiccaalllly y CCaallccuullaatteed d ffrroo" " SSeeccttiioon n ppr  r   2

2,,ttrra a ffoor r cclleeaatt' ' aa  3 3 oof f PPuurrlliin n 44eeiigghhtt == %%** 33 A

Addddiittiioonnaal l 55eeaad d LLooaadd  tto o CCoonniiddeerr == //gg0011""

%i(e %oa&s %i(e %oa&s L

Lii66e e llooaad d oon n !!ooooff == AuAuttoo""aattiiccaalllly y CCaallccuullaatteed d ffrroo" " SSllooppee =

= 7788 //gg0011"" A

Addddiittiioonnaal l LLii66e e LLooaadd  tto o ##e e ccoonniiddeerreedd == //gg0011""

)in& %oa&s )in& %oa&s Baic ind Speed

Baic ind Speed '*'*""00 TTeerrrraaiin n CCaatteeggoorryy ''

/%

/% 11 Ma,i"u" 9oriontal 5i"enion of BuildingMa,i"u" 9oriontal 5i"enion of Building *".$!*".$!"" /)

/) 11 9e9encnce' e' BlBldg dg ClClaa CC

9eight of Top

9eight of Top $.!+,$.!+,"" Baed on the data on

Baed on the data on right' /& i o#tained fro" the ta#leright' /& i o#tained fro" the ta#le /&

/& ".,#".,#

9

9t t oof f ##uuiillddiinng g aat t eeaa66ee  llee66eell' ' hh == "" 

iiddtth h oof f tthhe e ##uuiillddiinngg' ' 44 == '".!'".!"" L

Leennggtth h oof f tthhe e BBuuiillddiinngg' ' ll == *".$!*".$!""

9

9eennccee''hh0044 == **..&&))** aannddll0044 == &&..;;77&&

Baed on the h04 and l04' the

Baed on the h04 and l04' the 6alue of Cpe i o#tained fro" ta#le a 6alue of Cpe i o#tained fro" ta#le a noted #elo4:noted #elo4: Ma,i"u" 5o4n4ard Cpe $include ign+

Ma,i"u" 5o4n4ard Cpe $include ign+ Ma,i"u" Up4ard Cpe $include ign+

Ma,i"u" Up4ard Cpe $include ign+ -".*-".*

Baed on 3 of opening' Cpi i

  pertie

Try 2 #""3,"3#.!

>ield tre of "aterial '+!"

assumed since not given in catalo

?lange idth' # ,"""

5epth of ection d #""""

Thic/ne t #.!""

Length of Lip lip@l #"""

nner Bending !adiu '""

assumed

Area *.!

,, $*.+ Section Modulu a#out Maor A,i

yy $.1 Section Modulu a#out Minor A,i

,, $*+.1 Mo"ent of nertia a#out Maor A,i

yy !#., Mo"ent of nertia a#out Minor A,i

Purlin eight 8.%*) /g01"

Output ummary

Section Propertie DEF not O4  Baed on S (*% Claue 8.&.&.%

Stree D/F O4 

Critical Stre ?actor  ".*,

5eflection Chec/ DEF O4 

9ence' D6erall: NOT O4 

EG0CM& c"& c") c") c" c"

e# Area (7.8 1"" Total Area *.! ,, $*.+ yy $.1 ,, total $*+.1 yy total !#., c"& c") c") c" c"

Page 

2 Purlin Design 6eport Prepare& By Gautam Paul

Project : 0ree Aman

Design /o&e re77ere& Basic Design 8it0 c0ecs 7or tresses an& De7lection 9ase& on I ,"" only A&&e& ection property c0ecs an& Allo8a9le tress /alculations 9ase& o

JOBNo.: DATE:

Input Data: Purlin Geometry

Spanofthepurlin = 7.8** M

Spacingofthepurlin = %.8 M

 No. of Sag rod = &

Slopeofthe!oof =  deg.

 Nu"#er of Span = %&

Ben&ing oment /oe77icients: ;se , 7or ingle<T8o spans= 1" 7or ' or more spans

Bending Mo"ent Coefficient for M,, %*

?or Bending A#out Minor A,i' Nu"#er of pan= nu"#er of pan , $nu"#er of agrod-%+

 Nu"#er of Span a#out Minor A,i = )

Bending Mo"ent Coefficient for Myy %*

Cro Sectional Area of Purlin ;.78

Purlin eight

!

7.8 /g0" $Area in 1c" , *.7(8 /g01c"0"+ in

!

8.%*) /g01" $eight in /g0"+0pacing

Design /alculations: Primary %oa& /ases

DEAD %OAD

eightofSheeting %).*** /g01"

Self eight of Purlin $calculated a#o6e+ 8.%*) /g01"

2,tra load for 4eight %* 3 of purlin 4eight *.8%* /g01"

Dther5eadLoad /g01"

Total5eadLoad %(.%) /g01"

> ".1,$ N<s?m

%I5E %OAD

Li6e Load on !oof = 78 /g01" if lope i le than %* degree. f Slope i "ore than %* degree' LL = 78 H &,$lope<%*+' u#e

Li6eloadon!oof = 78

Additional Li6e Load to #e conidered =

c"&

EG0M& EG0M&

Page "

I ,"1

&<7<%

  /g0"

Page #

TotalLi6eLoad 78 /g01"

> ".!" N<s?m )IND %OAD

Baic ind Speed I# ); "0

/% %

/) %

TerrainCategory )

Ma,i"u" 9oriontal 5i"enion of Building ;*.8 "

9ence' Building Cla i C

9eightofTop .8( "

Baed on the a#o6e data' /& i o#tained fro" the ta#le

/& *.(&

5eign ind Speed I=/%./&./).I# )%.;( "0 5eign ind Preure p=*.IJ& %).)& N01"

= *.% /N01"

9tof#uildingatea6ele6el'h = 7 "

idthofthe#uilding'4 = )*.8 "

LengthoftheBuilding'l = ;*.8 "

9ence'h04 = *.&)*

andl04 = &.;7&

Baed on the h04 and l04' the 6alue of Cpe i o#tained fro" ta#le a noted #elo4: Ma,i"u" 5o4n4ard Cpe $including ign+

Ma,i"u" Up4ard Cpe $including ign+ <*.;

Baed on 3 of opening' Cpi i ta/en a -0< *.&

ind Load i included in t4o load co"#ination H 5L-L and 5L-LL-L

Since' 5ead Load and Li6e Load are do4n4ard' 5L-L 4ill #e critical for the "a,i"u" up4ard 4ind force Si"ilarly' 5L-LL-L 4ill #e critical for the "a,i"u" do4n4ard 4ind force

)%1: a3imum ;p8ar& )in& @orce  To 9e use& in com9ination D%)%1

Ma,i"u" Up4ard Cpe $including ign+ <*.;

Cpi to ue $for up4ard' ue <+ <*.&

9ence'Cpe-Cpi= <%.%

5eign ind Preure p *.% /N01"

Page %

)%#: a3imum Do8n8ar& )in& @orce  To 9e use& in com9ination D%%%)%#

Ma,i"u" 5o4n4ard Cpe $including ign+

Cpi to ue $for up4ard' ue <+ *.&

9ence'Cpe-Cpi= *.&

5eign ind Preure p *.% /N01"

ind preure for Purlin 5eign *.%&) /N01"

Design /alculations: Primary %oa& /ases  /on(ersion o7 7orces to Normal An& Tangential /ompo

Spacing

o&

the

purlin

!

'( m

Slope

o&

the

Roo&

!

" degrees

)otal

Dead

Load

!

*('$" +,-s.m

DL ,ormal Component ! DL / Spacing / cos0slope1 !

*(2#$ +,-m

DL )angential Component ! DL / Spacing / sin0slope1 !

*(*2% +,-m

)otal

Live

Load

!

*(#* +,-s.m

LL ,ormal Component ! LL / Spacing / cos0slope1 !

'(''% +,-m

LL )angential Component ! LL / Spacing / sin0slope1 !

*(''$ +,-m

)otal

3ind

Load

in

3L'

!

4*("# +,-s.m

3L is normal to roo&

5ence6 3L' normal component ! 3L' / Spacing !

4'(*'2 +,-m

And6

3L'

)angential

component

!

+,-m

)otal

3ind

Load

in

3L2

!

*('27 +,-s.m

3L is normal to roo&

5ence6 3L2 normal component ! 3L2 / Spacing !

*('$8 +,-m

And6

3L2

)angential

component

!

+,-m

Design /alculations:ummary o7 %oa&s in %oa& /om9inations

9rom above calculations6 the components o& load in the various load combinations are tabulated

DL:LL

DL:3L'

DL:LL:3L2

,ormal

Load

'(7%"

4*(#7

'($' +,-m

Page '*

Page ''

9or Strength Design6 *(# &actor is applicable &or combinations ;ith 3ind Load since 77(77< e/tra stress

5ence6 the components o& load in the various load combinations &or Strength design are

DL:LL

*(#0DL:3L'1

*(#0DL:LL:3L21

,ormal

Load

'(7%"

4*('

'('$ +,-m

)angential

Load

*('8#

*(*22

*(''* +,-m

Ma/imum ,ormal Component !

'(7%" +,-m

Purlin ection electe&:

Section Na"e  &**,(*,&.8

>ield tre of "aterial )8* /g01c"

?langeidth'# (* ""

5epthofectiond &** ""

Thic/net &.8 ""

LengthofLiplip@l &* ""

nternal Bending radiu ) ""

Total #ending !adiu' rad 8.8 ""

?lange idth 40o #end' 4 = # H & , rad ; ""

Area ;.78

,, ;.7

yy .7%

,, ;.7%

yy 8&.(7

Purlin eight

!

7.8 /g0" $Area in 1c" , *.7(8 /g01c"0"+ in

!

8.%*) /g01" $eight in /g0"+0pacing

Design /alculations: /0ecing Basic ection Properties 9ase& on I ,"1 7or %ip o7 Purlin

Minimum Depth o& Lip shall be 2($ / t / 00;-t1=242$'2**-9y1=0'-"1 and not less than 8($t

t!

2( mm

 ;!

"% mm

9y!

78* +g-s.cm

 ;-t!

2#("

2($ / t / 00;-t1=242$'2**-9y1=0'-"1

2*(#% mm

8($t!

'2 mm

Lip

l!

2* mm

5ence

,>) >? c"& c") c") c" c"

Page '2

Page '7

Lip is Edge sti&&ener only i& ;-t@"*

5ere6

;-t

!

2#("

5ence

>?

Result 2: Check for Section Properties Based on IS 801 Clause 5.2.2.1: not O

Design /alculations: tress /0ecs

Check for !"t# li$ % 1&'5"s(rt)f*

As per clause (2('(' o& S $*'6

& is the actual stress in compression element computed based on e&&ective ;idth

Compression stress based on &ull ;idth ! Ma/ 0M//-Z//:Myy-Zyy1 &or all three un&actored combinations

Span &or maBor a/is bending ! Span o& purlin

!

#(** m

Span &or minor a/is bending ! Span o& purlin - 0no( o& sagrods : '1

!

2( m

ending

Moment

Coe&&icient

&or

M//

'*

ending

Moment

Coe&&icient

&or

Myy

'*

,ote Calculation &or the above is at the top o& the report

DL:LL

DL:3L'

DL:LL:3L2

,ormal

Load

'(7%"

4*(#7

'($' +,-m

)angential

Load

*('8#

*(*2%

*('8# +,-m

M//

#($

8('77

$($%' ?,4m

Myy

*(*%2

*(*'$

*(*%2 ?,4m

M//-Z//

''7(*#

%(8%%

'2#(%$' ,-s.mm

Myy-Zyy

'7("#2

2(#'$

'7("#2 ,-s.mm

M//-Z//:Myy-Zyy

'2"(#8"

"2(2'$

'8'("2 ,-s.mm

Ma/( Compression Stress !

'8'("2 ,-s.mm

&

!

'8'("2 ,-s.mm

!

'8'"(2' +g-s.cm

'87-s.rt0&1

!

7$('2$

Page '

5ence

>?

Design is restricted to 9ully E&&ective Section

+a,i$u$ Co$pressi-e Stress ased on /ateral Bucklin of lane# as per Clause .' of IS 801

9b6 the Allo;able Compressive Stress based on Lateral uc+ling o& 9lange is calculated as

@*('$F implies6 9b ! *(" 9y

4 CASE 0i1

G*('$F but @*(%F implies6 9b! *(""# 9y H 9y (  - 02(# F1

4 CASE 0ii1

G*(%F implies 9b ! *(7 9y ( F - 

4 CASE 0iii1

L ! Inbraced Length o& member ! Span - 0,umber o& sagrods:'1

2* cm

S/c ! Compression Section Modulus o& section about maBor a/is ! Z//

"%(8# Cm=7

d

!

Depth

o&

Section

!

2* cm

yc ! Moment o& nertia o& the compression portion ! yy-2

2"(87 Cm=8

5ence6



!

$2'2(7"' 0unitless1

Pi

!

7('8'%2"7"

E ! Modulus o& Elasticity6 as per S $*' is ta+en as

2*#8*** +g&-s.cm

Cb as per S $*' can be ta+en conservatively assuming M'!* 0end span1

'(#

9y

!

78* +g-s.cm

5ence

F

!

'*7$7(''* 0unitless1

5ence6

*('$

F

!

'$"$(%"*

And6

*(%

F

!

%788(#%%

Comparing  ;ith *('$F and *(%F6 the applicable case is

2

5ence6

9b

!

*(""#9y49y(-02(#F1

!

'2$%(7"'7%*77" +g-s.cm

!

'2$(%7" ,-s.mm

asic

Allo;able

Design

Stress

!

*("9y

2*#* +g-s.cm

!

2*# ,-s.mm

5ence6 allo;able stress is calculated as lo;er o& the t;o !

'2$(%7" ,-s.mm

DL:LL

DL:3L'

DL:LL:3L2

M//-Z//:Myy-Zyy

'2"(#8"

"2(2'$

'8'("2 ,-s.mm6 calculated above

Allo;ed

'2$(%7"

'#'(8$

'#'(8$

Sa&ety

Ratio

*(%$7

*(7"7

*($2"

Calculate !L

2_S /c-0dyc1

and F ! Pi

2_EC b-9y

Page '#

Ma/( Sa&ety Ratio

*(%$7

>?

Shear Stress in 3e

As per clause "(8(' o& S $*'6allo;ed ma/imum average shear stress 9v in +g&-s.cm is calculated as

Case ' & h-t is less than 8%*-s.rt09y16 9v!'2# / s.rt09y1 - 0h-t1

'2# / s.rt09y1-0h-t1 !

%"*(''%

Case 2 & h-t is more than 8%*-s.rt09y16 9v!$**** - 0h-t1=2

$****-0h-t1=2 !

%"'(7$

oth

are

subBect

to

ma/imum

*(89y

*(89y

!

'7$*

h

'%(*** mm

0Clear Depth bet;een &langes ! Depth H 2 / thic

t

2(**

5ence6

h-t

!

#$(***

8%*-s.rt09y1 !

#$('8

5ence6

Case

is



'

5ence6 9v !

ma/imum o& *(89y

!

%"*(''% +g&-s.cm

Actual Shear

J!;l-2

5ere6 ; ! SKR)03n=2:3t=21

DL:LL

*(#0DL:3L'1

*(#0DL:LL:3L21

,ormal

Load

'(7%"

4*('

'('$ +,-m

)angential

Load

*('8#

*(*22

*(''* +,-m

 ;!

'(8*8

*(2

'('%' +,-m

5ence6

Shear!

(2""

2(*"$

8(8" +,

Shear Stress &v!-dt

'*($*'

8(287

%('$

Stress

Ratio

*(''7

*(*88

*(*%

Ma/( Shear Stress Ratio in 3eb

*(''7

5ence

>?

Bendin Stress in 3e

As per clause "(8(2o& S $*' &or the design chec+ o& allo;able stress in combined shear and bending

9b; ! 7""****-0h-t1=2

5ere6 h-t already calculated above as

#$(***

5ence6

9b;

!

"**%(2*8 +g-s.cm

Page '$

Page '%

asic Allo;able Design Stress calculated earlier ! *("9y

2*# ,-s.mm

5ence6 governing value &or 9b; !

2*# ,-s.mm

Already calculated &b; ! M//-Z// since Zyy at ;eb is very high 0/!t-26 Z!-/1

DL:LL

DL:3L'

DL:LL:3L2

M//-Z//

''7(*#

%(8%%

'2#(%$' ,-s.mm

9b;

2*#

2#(7'

2#(7'

Sa&ety

Ratio

*(8"

*(2'"

*(8"

Ma/( Sa&ety Ratio

*(8"

n summary6 ending stresses in 3eb is

>? Co$ined Shear and Bendin Stresses in 3e

As per clause "(8(7 o& S $*' &or the design chec+ o& allo;able stress in combined shear and bending

SKR)00&b;-9b;1=2:0&v-9v1=21 must be less than '

n this clause6 9b; is not restricted by *("9y and 9v is not restricted by *(89y

DL:LL

DL:3L'

DL:LL:3L2

5ence6

9b;

!

"**(%2*

#%%(228

#%%(228

And

9v

!

%"*(''%

'2#"(%$

'2#"(%$

Actual stresses already calculated are

&b;

''7(*#

%(8%%

'2#(%$'

&v!

'*($*'

8(287

%('$

&b;-9b;

*('$$

*(*#8

*('"*

&v-9v

*(*''

*(**7

*(**#

SKR)

o&

sum

o&

s.u

*('$%

*(*#

*('"*

Ma/imum Combined Stress Ratio in 3eb is

*('$%

n summary6 Combined stresses in 3eb is

>?

Result ': Check for Stresses: O

>verall

Sa&ety

Ratio

*(%$7

Design /alculations: De7lection /0ec 

Page 2*

Page 2'

5ere6

number

o&

spans

!

'2

5ence6 &ormula to use !

07-7$81 0;l=8-E1

 ; is normal component o& un&actored distributed load in +,-m6 ma/( o& all load combinations

!

'($' +,-m

L

!

Span

o&

the

Purlin

#(** m

E ! Modulus o& Elasticity6 as per S $*' is ta+en as

2*#8*** +g-s.cm

!

2*#8** ,-s.mm



!

//

"%8(#' Cm=8

5ence6

)heoretical

De&lection

!

2#('2 mm

Allo;able De&lection as S codes is Span-'$*

8'("# mm

5ence

>?

As per MMA6 allo;ed de&lection &rom Live load component must be ;ithin Span-28*

Span

#(** m

or

#** mm

Span-28*

!

7'(2 mm

,ormal Component o& Live Load

'('2 +,-m

5ence6 de&lection &rom Live Load !

'%('%*"#%*%7

5ence

>?

Result &: Check for 4eflection: O

Results Su$$ar

Section Properties >?

not O

ased on S $*' Clause (2(2('

Stresses >+

O

Critical Stress 9actor

0.68

De&lection Chec+ >?

O