DESIGN OF PURLINS Sheet Content: Preliminary Data Sheet 1 of 28 PRELIMINARY DATA Roof Data Roof Angle 10.22 Roof Span 15 m Spacing of Purlins 0.9 m Length of Purlins 6 m Material Type Weight Reference Roofing GA 24 pre- painted rib type roofing 1.3 psf Weight of materials from: www.pole- barn.info Insulation Fiberboard 1.5 psf
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DESIGN OF PURLINS Sheet Content: Preliminary Data Sheet 1 of 28
PRELIMINARY DATA
Roof Data
Roof Angle 10.22
Roof Span 15 m
Spacing of Purlins 0.9 m
Length of Purlins 6 m
Material Type Weight Reference
Roofing GA 24 pre-
painted rib type roofing
1.3 psf Weight of
materials from:
www.pole-
barn.info
Insulation Fiberboard 1.5 psf
Conversion of Roofing and Insulation Weight to metric:
Roofing:
Insulation:
Trial Section: LC 175 x 50 x 20 x 2
mass in kg/m=4.68kg/m Sx = 30x103 mm3 Sy =5.5x103 mm3 (ASEP STEEL HANDBOOK)
DESIGN OF PURLINS Sheet Content:Loadings Sheet 2 of 28
LOADINGS
DESIGN OF PURLINS Sheet Content: Loadings Sheet 3 of 28
Dead Loads
Roofing (N/m) Weight of roofing x purlin spacing 71.85 x .9 =64.67 N/m
Insulation(N/m) Weight of insulation x purlin
spacing 62.67 x .9 =56.40 N/m
Total 121.07 N/m
Self Weight(N/m) Mass of purlin x gravity constant 4.68x 9.81=45.91 N/m
Live Loads
ROOF SLOPE: rise/run; 2.705/15
18.03%
Reference
Table 205-3
NSCP
Flat or rise less than 4 units vertical in 12 units horizontal
(33.3% slope). Arch and dome with rise less than one-eight of
span.
Tributary Area
95 m²
Uniform load (kPa)
0.6
Roof Live Load (N/m) Live load pressure x purlin spacing 540 N/m
DESIGN OF PURLINS Sheet Content: Wind Load Cases Sheet 4 of 28
WIND LOAD CASES
NORMAL TO RIDGE
(+GCpi)
(-GCpi)
38.06
DESIGN OF PURLINS Sheet Content: Wind Load Cases Sheet 5 of 28
WIND LOAD CASES
PARALLEL TO RIDGE
(+GCpi)
(-GCpi)
CRITICAL WIND PRESSURES
(+GCpi) (-Gcpi)
Wind Normal to the Ridge:
Windward: -863.932 -458.665
Leeward: -498.214 -92.947
Wind Parallel to the Ridge: -1063.824 -658.558
DESIGN OF PURLINS Sheet Content: Normal and Tangential Loads of Different Load Combinations Sheet 6 of 28
NORMAL AND TANGENTIAL LOADS OF DIFFERENT LOAD COMBINATIONS
D+W CASE 1:NORMAL TO RIDGE WINDWARD (+GCpi)
WINDLOAD=(863.93 N/m2)(.9 m)=777.54 N/m
NORMAL COMPONENT
TANGENTIAL COMPONENT
AT TOP AT CENTROID
DESIGN OF PURLINS Sheet Content: Normal and Tangential Loads of Different Load Combinations Sheet 7 of 28
D+W CASE 2: NORMAL TO RIDGE WINDWARD (-GCpi)
WINDLOAD=(458.67 N/m2)(.9 m)=412.80 N/m
NORMAL COMPONENT
TANGENTIAL COMPONENT
AT TOP AT CENTROID
DESIGN OF PURLINS Sheet Content: Normal and Tangential Loads of Different Load Combinations Sheet 8 of 28
D+W CASE 3:NORMAL TO RIDGE LEEWARD (-GCpi)
WINDLOAD=(498.21 N/m2)(.9 m)=448.39 N/m
NORMAL COMPONENT
TANGENTIAL COMPONENT
AT TOP AT CENTROID
DESIGN OF PURLINS Sheet Content: Normal and Tangential Loads of Different Load Combinations Sheet 9 of 28
D+W CASE 4:NORMAL TO RIDGE LEEWARD (-GCpi)
WINDLOAD=(92.95 N/m2)(.9 m)=83.66 N/m
NORMAL COMPONENT
TANGENTIAL COMPONENT
AT TOP AT CENTROID
DESIGN OF PURLINS Sheet Content: Normal and Tangential Loads of Different Load Combinations Sheet 10 of 28
D+W CASE 5:PARALLEL TO RIDGE (+GCpi)
WINDLOAD=(1063.83N/m2)(.9 m)=957.45 N/m
NORMAL COMPONENT
TANGENTIAL COMPONENT
AT TOP AT CENTROID
DESIGN OF PURLINS Sheet Content: Normal and Tangential Loads of Different Load Combinations Sheet 11 of 28
D+W CASE 6:PARALLEL TO RIDGE (-GCpi)
WINDLOAD=(658.56/m2)(.9 m)=592.70 N/m
NORMAL COMPONENT
TANGENTIAL COMPONENT
AT TOP AT CENTROID
DESIGN OF PURLINS Sheet Content: Normal and Tangential Loads of Different Load Combinations Sheet 12 of 28
D+L WINDLOAD=(658.56/m2)(.9 m)=592.70 N/m
NORMAL COMPONENT
TANGENTIAL COMPONENT
AT TOP AT CENTROID
DESIGN OF PURLINS Sheet Content: PURLINS WITHOUT SAGROD Sheet 13 of 28
CASE 1: NO SAGROD
LOAD COMBINATION D+W
CASE 1
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 2
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
DESIGN OF PURLINS Sheet Content: PURLINS WITHOUT SAGROD Sheet 14 of 28
CASE 3
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 4
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 5
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 6
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
DESIGN OF PURLINS Sheet Content: PURLINS WITHOUT SAGROD Sheet 15 of 28
D+L COMBINATION
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
DESIGN OF PURLINS Sheet Content: PURLINS WITHOUT SAGROD Sheet 16 of 28
LOAD COMBINATION ACTUAL STRESS (MPa) ALLOWABLE STRESS
(Mpa)
D+W
CASE 1
PASS
CASE 2
PASS
CASE 3
PASS
CASE 4
CASE 5
PASS
CASE 6
PASS
D+L
FAIL
DESIGN OF PURLINS Sheet Content: PURLINS WITH SAGROD AT MIDPOINTS Sheet 17 of 28
CASE 2 : PURLINS WITH SAGROD AT MIDPOINTS
LOAD COMBINATION D+W
CASE 1
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 2
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
DESIGN OF PURLINS Sheet Content: PURLINS WITH SAGROD AT MIDPOINTS Sheet 18 of 28
CASE 3
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 4
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 5
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 6
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
DESIGN OF PURLINS Sheet Content: PURLINS WITH SAGROD AT MIDPOINTS Sheet 19 of 28
D+L LOAD COMBINATION
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
DESIGN OF PURLINS Sheet Content: PURLINS WITH SAGROD AT MIDPOINTS Sheet 20 of 28
LOAD COMBINATION ACTUAL STRESS (MPa) ALLOWABLE STRESS
(Mpa)
D+W
CASE 1
PASS
CASE 2
PASS
CASE 3
PASS
CASE 4
CASE 5
PASS
CASE 6
PASS
D+L
PASS
DESIGN OF PURLINS Sheet Content: PURLINS WITH SAGROD AT THIRD POINTS Sheet 21 of 28
PURLINS WITH SAGROD AT THIRD POINTS
LOAD COMBINATION D+W
If
The maximum moment is at third point, Otherwise, the moment is at midspan
Therefore, the maximum moment is at third points
CASE 1
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 2
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
DESIGN OF PURLINS Sheet Content: PURLINS WITH SAGROD AT THIRD POINTS Sheet 22 of 28
CASE 3
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 4
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 5
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
CASE 6
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
DESIGN OF PURLINS Sheet Content: PURLINS WITH SAGROD AT THIRD POINTS Sheet 23 of 28
LOAD COMBINATION D+L
MAXIMUM MOMENT
NORMAL COMPONENT
TANGENTIAL COMPONENT
At Top
At Centroid
DESIGN OF PURLINS Sheet Content: PURLINS WITH SAGROD AT THIRD POINTS Sheet 24 of 28
LOAD COMBINATION ACTUAL STRESS (MPa) ALLOWABLE STRESS
(Mpa)
D+W
CASE 1
PASS
CASE 2
PASS
CASE 3
PASS
CASE 4
PASS
CASE 5
PASS
CASE 6
PASS
D+L
PASS
Based on the calculations presented it is recommended to use LC 175 x 50 x 20 x 2 section of purlin with sagrods at third points.
SAGRODS AT MIDSPAN
LOAD COMBINATIONS
D+W
(Tangential forces at top of the purlin)
(Reaction of sag rod)
(Total Reaction of sagrod)
(Cross sectional area of sagrod)
(Diameter of sagrod)
D+L
(Tangential forces at top of the purlin)
(Reaction of sag rod)
(Total Reaction of sagrod)
(Cross sectional area of sagrod)
(Diameter of sagrod)
DESIGN OF PURLINS Sheet Content: CONCLUSION AND DESIGN OF SAGROD Sheet 25 of 28
CONCLUSION
DESIGN OF SAG ROD
SAGRODS AT THIRD POINTS
LOAD COMBINATIONS
D+W
(Tangential forces at top of the purlin)
(Reaction of sag rod)
(Total Reaction of sagrod)
(Cross sectional area of sagrod)
(Diameter of sagrod)
D+L
(Tangential forces at top of the purlin)
(Reaction of sag rod)
(Total Reaction of sagrod)
(Cross sectional area of sagrod)
(Diameter of sagrod)
DESIGN OF PURLINS Sheet Content: DESIGN OF SAGROD Sheet 26 of 28
DESIGN OF PURLINS Sheet Content: DESIGN OF TIEROD Sheet 27 of 28
DESIGN OF TIE ROD
TIE ROD FOR SAGROD AT MIDSPAN
FORCE TRIANGLE ANALYSIS COMPUTATION
RTOTAL
10.22
P
DESIGN OF PURLINS Sheet Content: DESIGN OF TIEROD Sheet 28 of 28