HomeMy WebLinkAbout1203 Rook Dr Technical - Building
TECHNICAL
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319 S. Peabody, Suite B., Port Angeles, W A 98362
360.452.6116/ fax 360.452.7064
contact{cV,lindarch.com / www.lindarch.com
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Roof Beam[ 2000 International Buildinr:l Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006: 09:57:39 AM
Project: DCMARGENE1 - Location: ROOF 1
Summary:
5.125 IN x 12.0 IN x 16.0 FT /24F-V4 - Visually Graded Western Species - Dry Use
Section Adequate By: 175.6% Controlling Factor: Section Modulus / Depth Required 8.32 In
Deflections:
Dead Load:
Live Load:
Total Load:
Reactions (Each End):
Live Load:
Dead Load:
Total Load:
Bearinr:l Lenr:lth Required (Beam only, support capacity not checked):
Camber Reqd.:
Beam Data:
Span:
Maximum Unbraced Span:
Pitch Of Roof:
Live Load Deflect. Criteria:
Total Load Deflect. Criteria:
Camber Adjustment Factor:
Roof Loadinr:l:
Roof Live Load-Side One:
Roof Dead Load-Side One:
Tributary Width-Side One:
Roof Live Load-Side Two:
Roof Dead Load-Side Two:
Tributary Width-Side Two:
Roof Duration Factor:
Beam Self Weir:lht:
Slope/Pitch Adjusted Lenr:lths and Loads:
Adjusted Beam Lenr:lth:
Beam Uniform Live Load:
Beam Uniform Dead Load:
Total Uniform Load:
Properties For: 24F-V4- Visually Graded Western Species
Bendinr:l Stress:
Shear Stress:
Modulus of Elasticity:
DLD=
LLD=
TLD=
LL-Rxn=
DL-Rxn=
TL-Rxn=
BL=
C=
L=
Lu=
RP=
U
U
CAF=
LL1=
DL1=
TW1=
LL2=
DL2=
TW2=
Cd=
BSW=
Ladj=
wL=
wD adj=
-wT=
Stress Perpendicular to Grain:
Bendinr:l Stress of Compo Face in Tension:
Adjusted Properties
Fb' (Tension):
Adjustment Factors: Cd=1.15 CI=1.00
Fb=
Fv=
Ex=
Ey=
Fc perp=
Fb_cpr=
Fb'=
Fv':
Fv'=
Adjustment Factors: Cd=1.15
Design Requirements:
Controllinr:l Moment:
8.0 ft from left support
Critical moment created by combining all dead and live loads.
Controllinr:l Shear:
At a distance d from support.
Critical shear created by combining all dead and live loads.
Comparisons With Required Sections:
Section Modulus (Moment):
Area (Shear):
Moment of Inertia (Deflection):
Sreq=
S=
Areq=
A=
Ireq=
1=
M=
0.12 IN
0.23 IN = U824
0.35 IN = U541
1680 LB
879 LB
2559 LB
0.77 IN
0.18 IN
16.0 FT
2.0 FT
4 :12
240
180
1.5 XDLD
35.0 PSF
15.0 PSF
2.0 FT
35.0 PSF
15.0 PSF
4.0 FT
1.15
15 PLF
16.0 FT
210 PLF
110 PLF
320 PLF
2400 PSI
190 PSI
1800000 PSI
1600000 PSI
650 PSI
1200 PSI
2752 PSI
219 PSI
10234 FT-LB
2252 LB
44.63 IN3
123.00 IN3
15.46 IN2
61.50 IN2
245.58 IN4
738.00 IN4
V=
Multi-Loaded Beam[ 2000 International BuildinQ Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:09:40 AM
Proiect: DCMARGENE - Location: ROOF 2
Summary:
3.5 IN x 7.25 IN x 3.0 FT / #2 - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 36.7% Controlling Factor: Area / Depth Required 5.92 In
Center Span Deflections:
Dead Load: DLD-Center=
Live Load: LLD-Center=
Total Load: TLD-Center=
Center Span Left End Reactions (Support A):
Live Load: LL-Rxn-A=
Dead Load: DL-Rxn-A=
Total Load: TL-Rxn-A=
BearinQ LenQth Required (Beam only, support capacity not checked): BL-A=
Center Span RiQht End Reactions (Support B):
Live Load: LL-Rxn-B=
Dead Load: DL-Rxn-B=
Total Load: TL-Rxn-B=
Bearing Length Required (Beam only, support capacity not checked): BL-B=
Beam Data:
Center Span Lenj:lth: L2=
Center Span Unbraced LenQth-Top of Beam: Lu2-Top=
Center Span Unbraced Length-Bottom of Beam: Lu2-Bottom=
Live Load Duration Factor: Cd=
Live Load Deflect. Criteria: U
Total Load Deflect. Criteria: U
Center Span Loading:
Uniform Load:
Live Load: wL-2= 455 PLF
Dead Load: wD-2= 195 PLF
Beam Self Weight: BSW= 6 PLF
Total Load: wT-2= 656 PLF
Point Load 1
Live Load: PL 1-2= 4666 LB
Dead Load: PD1-2= 2358 LB
Location (From left end of span): X1-2= 0.25 FT
Properties For: #2- DouQlas Fir-Larch (North)
Bendinq Stress: Fb= 850 PSI
Shear Stress: Fv= 95 PSI
Modulus of Elasticity: E= 1600000 PSI
Stress Perpendicular to Grain: Fc_perp= 625 PSI
Adjusted Properties
Fb' (Tension): Fb'= 1102 PSI
Adjustment Factors: Cd=1.00 CI=1.00 Cf=1.30
Fv':
Fv'=
Adjustment Factors: Cd=1.00
Design Requirements:
ControllinQ Moment:
0.6 Ft from left support of span 2 (Center Span)
Critical moment created by combining all dead loads and live loads on span(s) 2
Controllinj:l Shear:
At a distance d from riqht support of span 2 (Center Span)
Critical shear created by combining all dead loads and live loads on span(s) 2
Comparisons With Required Sections:
Section Modulus (Moment):
M=
V=
Area (Shear):
Moment of Inertia (Deflection):
Sreq=
S=
Areq=
A=
Ireq=
1=
0.01 IN
0.01 IN = U3253
0.02 IN = U2200
4960 LB
2463 LB
7423 LB
3.39 IN
1071 LB
498 LB
1570 LB
0.72 IN
3.0 FT
2.0 FT
3.0 FT
1.00
360
240
95 PSI
1877 FT-LB
1176 LB
20.44 IN3
30.66 IN3
18.57 IN2
25.38 IN2
12.30 IN4
111.15 IN4
Roof Beam[ 2000 International BuildinQ Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006: 10:10:22 AM
Project: DCMARGENE1 - Location: ROOF 3
Summary:
3.5 IN x 5.5 IN x 4.0 FT / Select Structural - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 190.3% Controlling Factor: Area / Depth Required 2.52 In
Deflections:
Dead Load:
Live Load:
Total Load:
Reactions (Each End):
Live Load:
Dead Load:
Total Load:
Bearing Length Required (Beam only, support capacity not checked):
Beam Data:
Span:
Maximum Unbraced Span:
Pitch Of Roof:
Live Load Deflect. Criteria:
Total Load Deflect. Criteria:
Roof LoadinQ:
Roof Live Load-Side One:
Roof Dead Load-Side One:
Tributary Width-Side One:
Roof Live Load-Side Two:
Roof Dead Load-Side Two:
Tributary Width-Side Two:
Roof Duration Factor:
Beam Self WeiQht:
Slope/Pitch Adjusted LenQths and Loads:
Adjusted Beam LenQth:
Beam Uniform Live Load:
Beam Uniform Dead Load:
Total Uniform Load:
Properties For: Select Structural- Douglas Fir-Larch (North)
BendinQ Stress:
Shear Stress:
Modulus of Elasticity:
Stress Perpendicular to Grain:
Adjusted Properties
Fb' (Tension):
Adjustment Factors: Cd=1.15 CI=1.00 Cf=1.30
DLD=
LLD=
TLD=
LL-Rxn=
DL-Rxn=
TL-Rxn=
BL=
L=
Lu=
RP=
U
U
LL1=
DL1=
TW1=
LL2=
DL2=
TW2=
Cd=
BSW=
Ladj=
wL=
wD adj=
-wT=
Fb=
Fv=
E=
Fc_perp=
Fb'=
Fv':
Fv'=
Adiustment Factors: Cd=1.15
Design Requirements:
ControllinQ Moment:
2.0 ft from left support
Critical moment created by combining all dead and live loads.
ControllinQ Shear:
At a distance d from support.
Critical shear created by combining all dead and live loads.
Comparisons With Required Sections:
Section Modulus (Moment):
Area (Shear):
Moment of Inertia (Deflection):
M=
Sreq=
S=
Areq=
A=
Ireq=
1=
V=
0.01 IN
0.01 IN = U3659
0.02 IN = U2483
420 LB
199 LB
619 LB
0.28 IN
4.0 FT
2.0 FT
4 : 12
240
180
35.0 PSF
15.0 PSF
2.0 FT
35.0 PSF
15.0 PSF
4.0 FT
1.15
5 PLF
4.0 FT
210 PLF
100 PLF
310 PLF
1350 PSI
95 PSI
1900000 PSI
625 PSI
2013 PSI
109 PSI
619 FT-LB
483 LB
3.69 IN3
17.65 IN3
6.63 IN2
19.25 IN2
3.52 IN4
48.53 IN4
~
Roof Beam[ 2000 International BuildinQ Code (97 NDS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:10:53 AM
Project: DCMARGENE1 - Location: ROOF 4
Summary:
3.5 IN x 5.5 IN x 6.0 FT / Select Structural- DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 75.6% Controlling Factor: Area / Depth Required 3.77 In
Deflections:
Dead Load:
Live Load:
Total Load:
Reactions (Each End):
Live Load:
Dead Load:
Total Load:
Bearing Length Required (Beam only, support capacity not checked):
Beam Data:
Span:
Maximum Unbraced Span:
Pitch Of Roof:
Live Load Deflect. Criteria:
Total Load Deflect. Criteria:
Roof LoadinQ:
Roof Live Load-Side One:
Roof Dead Load-Side One:
Tributary Width-Side One:
Roof Live Load-Side Two:
Roof Dead Load-Side Two:
Tributary Width-Side Two:
Roof Duration Factor:
Beam Self WeiQht:
Slope/Pitch Adjusted LenQths and Loads:
Adjusted Beam LenQth:
Beam Uniform Live Load:
Beam Uniform Dead Load:
Total Uniform Load:
Properties For: Select Structural- Douglas Fir-Larch (North)
BendinQ Stress:
Shear Stress:
Modulus of Elasticity:
Stress Perpendicular to Grain:
Adjusted Properties
Fb' (Tension):
Adjustment Factors: Cd=1.15 CI=1.00 Cf=1.30
DLD=
LLD=
TLD=
LL-Rxn=
DL-Rxn=
TL-Rxn=
BL=
L=
Lu=
RP=
U
U
LL1=
DL1=
TW1=
LL2=
DL2=
TW2=
Cd=
BSW=
Ladi=
wL=
wD adi=
-wT=
Fb=
Fv=
E=
Fc_perp=
Fb'=
Fv':
Fv'=
Adjustment Factors: Cd=1.15
Design Requirements:
ControllinQ Moment:
3.0 ft from left support
Critical moment created by combining all dead and live loads.
ControllinQ Shear:
At a distance d from support.
Critical shear created by combining all dead and live loads.
Comparisons With Required Sections:
Section Modulus (Moment):
Area (Shear):
Moment of Inertia (Deflection):
SreQ=
S=
AreQ=
A=
IreQ=
1=
M=
0.03 IN
0.07 IN = U1084
0.10 IN = U736
630 LB
299 LB
929 LB
0.42 IN
6.0 FT
2.0 FT
4 : 12
240
180
35.0 PSF
15.0 PSF
2.0 FT
35.0 PSF
15.0 PSF
4.0 FT
1.15
5 PLF
6.0 FT
210 PLF
100 PLF
310 PLF
1350 PSI
95 PSI
1900000 PSI
625 PSI
2013 PSI
109 PSI
1393 FT-LB
799 LB
8.31 IN3
17.65 IN3
10.97 IN2
19.25 IN2
11.87 IN4
48.53 IN4
V=
Roof Beamr 2000 International BuildinQ Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:12:19 AM
Project: DCMARGENE1 - Location: ROOF 5
Summary:
3.5 IN x 5.5 IN x 3.0 FT / Select Structural - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 331.4% Controlling Factor: Area / Depth Required 1.89 In
Deflections:
Dead Load:
Live Load:
Total Load:
Reactions (Each End):
Live Load:
Dead Load:
Total Load:
Bearing Length Required (Beam only, support capacity not checked):
Beam Data:
Span:
Maximum Unbraced Span:
Pitch Of Roof:
Live Load Deflect. Criteria:
Total Load Deflect. Criteria:
Roof LoadinQ:
Roof Live Load-Side One:
Roof Dead Load-Side One:
Tributary Width-Side One:
Roof Live Load-Side Two:
Roof Dead Load-Side Two:
Tributary Width-Side Two:
Roof Duration Factor:
Beam Self WeiQht:
Slope/Pitch Adjusted LenQths and Loads:
Adjusted Beam LenQth:
Beam Uniform Live Load:
Beam Uniform Dead Load:
Total Uniform Load:
Properties For: Select Structural- Douglas Fir-Larch (North)
BendinQ Stress:
Shear Stress:
Modulus of Elasticity:
Stress Perpendicular to Grain:
Adjusted Properties
Fb' (Tension):
Adjustment Factors: Cd=1.15 CI=1.00 Cf=1.30
1-
Fv':
Adjustment Factors: Cd= 1.15
Design Requirements:
ControllinQ Moment:
1.5 ft from left support
Critical moment created by combining all dead and live loads.
ControllinQ Shear:
At a distance d from support.
Critical shear created by combining all dead and live loads.
Comparisons With Required Sections:
Section Modulus (Moment):
Area (Shear):
Moment of Inertia (Deflection):
DLD=
LLD=
TLD=
LL-Rxn=
DL-Rxn=
TL-Rxn=
BL=
L=
Lu=
RP=
U
U
LL1=
DL1=
1W1=
LL2=
DL2=
1W2=
Cd=
BSW=
Ladj=
wL=
wD adj=
-wT=
Fb=
Fv=
E=
Fc_perp=
Fb'=
Fv'=
Sreq=
S=
Areq=
A=
Ireq=
1=
M=
0.00 IN
0.00 IN = U8674
0.01 IN = U5884
315 LB
149 LB
464 LB
0.21 IN
3.0 FT
2.0 FT
4 : 12
240
180
35.0 PSF
15.0 PSF
2.0 FT
35.0 PSF
15.0 PSF
4.0 FT
1.15
5 PLF
3.0 FT
210 PLF
100 PLF
310 PLF
1350 PSI
95 PSI
1900000 PSI
625 PSI
2013 PSI
109 PSI
348 FT-LB
325 LB
2.08 IN3
17.65 IN3
4.46 IN2
19.25 IN2
1.48 IN4
48.53 IN4
V=
Multi-Loaded Beam[ 2000 International BuildinQ Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:14:10 AM
Project: DCMARGENE - Location: ROOF 6
Summary:
5.5 IN x 9.5 IN x 3.0 FT 1#2 - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 15.4% Controlling Factor: Area I Depth Required 8.23 In
Center Span Deflections:
Dead Load: DLD-Center=
Live Load: LLD-Center=
Total Load: TLD-Center=
Center Span Left End Reactions (Support A):
Live Load: LL-Rxn-A=
Dead Load: DL-Rxn-A=
Total Load: TL-Rxn-A=
BearinQ LenQth Required (Beam only, support capacity not checked): BL-A=
Center Span RiQht End Reactions (Support B):
Live Load: LL-Rxn-B=
Dead Load: DL-Rxn-B=
Total Load: TL-Rxn-B=
Bearing Length Required (Beam only, support capacity not checked): BL-B=
Beam Data:
Center Span LenQth: L2=
Center Span Unbraced LenQth-Top of Beam: Lu2-Top=
Center Span Unbraced Length-Bottom of Beam: Lu2-Bottom=
Live Load Duration Factor: Cd=
Live Load Deflect. Criteria: U
Total Load Deflect. Criteria: U
Center Span Loading:
Uniform Load:
Live Load: wL-2= 210 PLF
Dead Load: wD-2= 90 PLF
Beam Self Weight: BSW= 13 PLF
Total Load: wT-2= 313 PLF
Point Load 1
Live Load: PL 1-2= 2800 LB
Dead Load: PD1-2= 1504 LB
Location (From left end of span): X1-2= 1.5 FT
Trapezoidal Load 1
Left Live Load: TRL-Left-1-2= 350 PLF
Left Dead Load: TRD-Left-1-2= 150 PLF
RiQht Live Load: TRL-RiQht-1-2= 350 PLF
RiQht Dead Load: TRD-Right-1-2= 150 PLF
Load Start: A-1-2= 1.5 FT
Load End: B-1-2= 3.0 FT
Load LenQth: C-1-2= 1.5 FT
Properties For: #2- DouQlas Fir-Larch (North)
BendinQ Stress: Fb= 875 PSI
Shear Stress: Fv= 85 PSI
Modulus of Elasticity: E= 1300000 PSI
Stress Perpendicular to Grain: Fc_perp= 625 PSI
Adjusted Properties
Fb' (Tension): Fb'= 874 PSI
Adjustment Factors: Cd=1.00 CI=1.00 Cf=1.00
Fv':
Fv'=
Adjustment Factors: Cd=1.00
Design Requirements:
ControllinQ Moment:
1.5 Ft from left support of span 2 (Center Span)
Critical moment created by combining all dead loads and live loads on span(s) 2
ControllinQ Shear:
At a distance d from left support of span 2 (Center Span)
Critical shear created by combining all dead loads and live loads on span(s) 2
Comparisons With Required Sections:
Section Modulus (Moment):
M=
V=
Area (Shear):
Moment of Inertia (Deflection):
Sreq=
S=
Areq=
A=
Ireq=
1=
0.00 IN
0.01 IN = U5373
0.01 IN = U3531
1846 LB
962 LB
2809 LB
0.82 IN
2109 LB
1075 LB
3184 LB
0.93 IN
3.0 FT
2.0 FT
3.0 FT
1.00
360
240
85 PSI
3861 FT-LB
2565 LB
53.02 IN3
82.73 IN3
45.26 IN2
52.25 IN2
26.71 IN4
392.96 IN4
Roof Beamf 2000 International BuildinQ Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:14:45 AM
Project: DCMARGENE1 - Location: ROOF 7
Summary:
3.5 IN x 5.5 IN x 3.0 FT / Select Structural - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 45.3% Controlling Factor: Area / Depth Required 3.79 In
Deflections:
Dead Load:
Live Load:
Total Load:
Reactions (Each End):
Live Load:
Dead Load:
Total Load:
Bearing Length Required (Beam only, support capacity not checked):
Beam Data:
Span:
Maximum Unbraced Span:
Pitch Of Roof:
Live Load Deflect. Criteria:
Total Load Deflect. Criteria:
Roof LoadinQ:
Roof Live Load-Side One:
Roof Dead Load-Side One:
Tributary Width-Side One:
Roof Live Load-Side Two:
Roof Dead Load-Side Two:
Tributary Width-Side Two:
Roof Duration Factor:
Beam Self WeiQht:
Slope/Pitch Adjusted LenQths and Loads:
Adjusted Beam LenQth:
Beam Uniform Live Load:
Beam Uniform Dead Load:
Total Uniform Load:
Properties For: Select Structural- Douglas Fir-Larch (North)
BendinQ Stress:
Shear Stress:
Modulus of Elasticity:
Stress Perpendicular to Grain:
Adjusted Properties
Fb' (Tension):
Adjustment Factors: Cd=1.15 CI=1.00 Cf=1.30
DLD=
LLD=
TLD=
LL-Rxn=
DL-Rxn=
TL-Rxn=
BL=
L=
Lu=
RP=
U
U
LL1=
DL1=
TW1=
LL2=
DL2=
TW2=
Cd=
BSW=
Ladj=
wL=
wD adj=
-wT=
Fb=
Fv=
E=
Fc_perp=
Fb'=
Fv':
Fv'=
Adjustment Factors: Cd=1.15
Design Requirements:
ControllinQ Moment:
1.5 ft from left support
Critical moment created by combining all dead and live loads.
ControllinQ Shear:
At a distance d from support.
Critical shear created by combining all dead and live loads.
Comparisons With Required Sections:
Section Modulus (Moment):
Area (Shear):
Moment of Inertia (Deflection):
SreQ=
S=
AreQ=
A=
IreQ=
1=
M=
0.01 IN
0.01 IN = U2891
0.02 IN = U1981
945 LB
434 LB
1379 LB
0.63 IN
3.0 FT
2.0 FT
4 :12
240
180
35.0 PSF
15.0 PSF
2.0 FT
35.0 PSF
15.0 PSF
16.0 FT
1.15
5 PLF
3.0 FT
630 PLF
289 PLF
919 PLF
1350 PSI
95 PSI
1900000 PSI
625 PSI
2013 PSI
109 PSI
1034 FT-LB
965 LB
6.17 IN3
17.65 IN3
13.25 IN2
19.25 IN2
4.41 IN4
48.53 IN4
V=
I
I
Roof Beam[ 2000 International Buildin!:l Code (97 NDS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:28:34 AM
Project: DCMARGENE1 - Location: ROOF 8
Summary:
3.5 IN x 5.5 IN x 5.0 FT / Select Structural - Dou!:llas Fir-Larch (North) - Dry Use
Section Adequate By: 193.1 % Controlling Factor: Area / Depth Required 2.73 In
Deflections:
Dead Load:
Live Load:
Total Load:
Reactions (Each End):
Live Load:
Dead Load:
Total Load:
Bearing Length Required (Beam only, support capacity not checked):
Beam Data:
Span:
Maximum Unbraced Span:
Pitch Of Roof:
Live Load Deflect. Criteria:
Total Load Deflect. Criteria:
Roof Loadin!:l:
Roof Live Load-Side One:
Roof Dead Load-Side One:
Tributary Width-Side One:
Roof Live Load-Side Two:
Roof Dead Load-Side Two:
Tributary Width-Side Two:
Roof Duration Factor:
Beam Self Wei!:lht:
Slope/Pitch Adjusted Len!:lths and Loads:
Adjusted Beam Len!:lth:
Beam Uniform Live Load:
Beam Uniform Dead Load:
Total Uniform Load:
Properties For: Select Structural- Douglas Fir-Larch (North)
Bendin!:l Stress:
Shear Stress:
Modulus of Elasticity:
Stress Perpendicular to Grain:
Adjusted Properties
Fb' (Tension):
Adjustment Factors: Cd=1.15 CI=1.00 Cf=1.30
DLD=
LLD=
TLD=
LL-Rxn=
DL-Rxn=
TL-Rxn=
BL=
L=
Lu=
RP=
U
U
LL1=
DL1=
TW1=
LL2=
DL2=
TW2=
Cd=
BSW=
Ladi=
wL=
wD adj=
-wT=
Fb=
Fv=
E=
Fc_perp=
Fb'=
Fv':
Fv'=
Adjustment Factors: Cd=1.15
Design Requirements:
Controllin!:l Moment:
2.5 ft from left support
Critical moment created by combining all dead and live loads.
Controllin!:l Shear:
At a distance d from support.
Critical shear created by combining all dead and live loads.
Comparisons With Required Sections:
Section Modulus (Moment):
Area (Shear):
Moment of Inertia (Deflection):
SreQ=
S=
AreQ=
A=
IreQ=
1=
M=
0.01 IN
0.02 IN = U2498
0.04 IN = U1686
394 LB
190 LB
583 LB
0.27 IN
5.0 FT
2.0 FT
4 : 12
240
180
35.0 PSF
15.0 PSF
2.0 FT
35.0 PSF
15.0 PSF
2.5 FT
1.15
5 PLF
5.0 FT
158 PLF
76 PLF
233 PLF
1350 PSI
95 PSI
1900000 PSI
625 PSI
2013 PSI
109 PSI
729 FT-LB
478 LB
4.35 IN3
17.65 IN3
6.57 IN2
19.25 IN2
5.18 IN4
48.53 IN4
V=
I--
I
I
Roof Beamr 2000 International BuildinQ Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:29:09 AM
Project: DCMARGENE1 - Location: ROOF 9
Summary:
3.5 IN x 5.5 IN x 7.5 FT I Select Structural - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 80.4% Controlling Factor: Section Modulus I Depth Required 4.1 In
Deflections:
Dead Load:
Live Load:
Total Load:
Reactions (Each End):
Live Load:
Dead Load:
Total Load:
Bearing Length Required (Beam only, support capacity not checked):
Beam Data:
Span:
Maximum Unbraced Span:
Pitch Of Roof:
Live Load Deflect. Criteria:
Total Load Deflect. Criteria:
Roof LoadinQ:
Roof Live Load-Side One:
Roof Dead Load-Side One:
Tributary Width-Side One:
Roof Live Load-Side Two:
Roof Dead Load-Side Two:
Tributary Width-Side Two:
Roof Duration Factor:
Beam Self WeiQht:
Slope/Pitch Adiusted LenQths and Loads:
Adjusted Beam LenQth:
Beam Uniform Live Load:
Beam Uniform Dead Load:
Total Uniform Load:
Properties For: Select Structural- Douglas Fir-Larch (North)
BendinQ Stress:
Shear Stress:
Modulus of Elasticity:
Stress Perpendicular to Grain:
Adjusted Properties
Fb' (Tension):
Adjustment Factors: Cd=1.15 CI=1.00 Cf=1.30
DLD=
LLD=
TLD=
LL-Rxn=
DL-Rxn=
TL-Rxn=
BL=
L=
Lu=
RP=
U
U
LL1=
DL1=
TW1=
LL2=
DL2=
TW2=
Cd=
BSW=
Ladi=
wL=
wD adj=
-wT=
Fb=
Fv=
E=
Fc_perp=
Fb'=
Fv':
Fv'=
Adjustment Factors: Cd= 1.15
Design Requirements:
ControllinQ Moment:
3.75 ft from left support
Critical moment created by combining all dead and live loads.
ControllinQ Shear:
At a distance d from support.
Critical shear created by combining all dead and live loads.
Comparisons With Required Sections:
Section Modulus (Moment):
Area (Shear):
Moment of Inertia (Deflection):
Sreq=
S=
Areq=
A=
Ireq=
1=
M=
0.06 IN
0.12 IN = U740
0.18 IN = U500
591 LB
284 LB
875 LB
0.40 IN
7.5 FT
2.0 FT
4 : 12
240
180
35.0 PSF
15.0 PSF
2.0 FT
35.0 PSF
15.0 PSF
2.5 FT
1.15
5 PLF
7.5 FT
158 PLF
76 PLF
233 PLF
1350 PSI
95 PSI
1900000 PSI
625 PSI
2013 PSI
109 PSI
1641 FT -LB
770 LB
9.78 IN3
17.65 IN3
10.57 IN2
19.25 IN2
1 7.48 IN4
48.53 IN4
V=
Multi-Loaded Beamf 2000 International Buildin~ Code (97 NDS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:30:31 AM
Project: DCMARGENE - Location: ROOF 10
Summary:
5.5 IN x 7.5 IN x 3.0 FT 1#2 - Dou~las Fir-Larch (North) - Dry Use
Section Adequate By: 41.1% Controlling Factor: Section Modulus I Depth Required 6.31 In
Center Span Deflections:
Dead Load: DLD-Center=
Live Load: LLD-Center=
Total Load: TLD-Center=
Center Span Left End Reactions (Support A):
Live Load: LL-Rxn-A=
Dead Load: DL-Rxn-A=
Total Load: TL-Rxn-A=
Bearin~ Len~th Required (Beam only, support capacity not checked): BL-A=
Center Span Ri~ht End Reactions (Support B):
Live Load: LL-Rxn-B=
Dead Load: DL-Rxn-B=
Total Load: TL-Rxn-B=
Bearing Length Required (Beam only, support capacity not checked): BL-B=
Beam Data:
Center Span Len~th: L2=
Center Span Unbraced Len~th-Top of Beam: Lu2-Top=
Center Span Unbraced Length-Bottom of Beam: Lu2-Bottom=
Live Load Duration Factor: Cd=
Live Load Deflect. Criteria: U
Total Load Deflect. Criteria: U
Center Span Loading:
Uniform Load:
Live Load: wL-2= 210 PLF
Dead Load: wD-2= 90 PLF
Beam Self Weight: BSW= 10 PLF
Total Load: wT-2= 310 PLF
Point Load 1
Live Load: PL 1-2= 2800 LB
Dead Load: PD1-2= 1504 LB
Location (From left end of span): X1-2= 2.5 FT
Trapezoidal Load 1
Left Live Load: TRL-Left-1-2= 350 PLF
Left Dead Load: TRD-Left-1-2= 150 PLF
Ri~ht Live Load: TRL-Ri~ht-1-2= 350 PLF
Ri~ht Dead Load: TRD-Right-1-2= 150 PLF
Load Start: A-1-2= 1.0 FT
Load End: B-1-2= 2.5 FT
Load Len~th: C-1-2= 1.5 FT
Properties For: #2- Dou~las Fir-Larch (North)
Bendin~ Stress: Fb= 725 PSI
Shear Stress: Fv= 85 PSI
Modulus of Elasticity: E= 1300000 PSI
Stress Perpendicular to Grain: Fc_perp= 625 PSI
Adjusted Properties
Fb' (Tension): Fb'= 724 PSI
Adjustment Factors: Cd=1.00 CI=1.00 Cf=1.00
I.
Fv':
Fv'=
Adiustment Factors: Cd=1.00
Design Requirements:
Controllin~ Moment:
2.46 Ft from left support of span 2 (Center Span)
Critical moment created by combining all dead loads and live loads on span(s) 2
Controllin~ Shear:
At a distance d from left support of span 2 (Center Span)
Critical shear created by combining all dead loads and live loads on span(s) 2
Comparisons With Required Sections:
Section Modulus (Moment):
M=
V=
Area (Shear):
Moment of Inertia (Deflection):
SreQ=
S=
AreQ=
A=
IreQ=
1=
0.00 IN
0.01 IN = U4208
0.01 IN = U2797
1000 LB
494 LB
1495 LB
0.43 IN
2955 LB
1535 LB
4489 LB
1.31 IN
3.0 FT
2.0 FT
3.0 FT
1.00
360
240
85 PSI
2206 FT-LB
1309 LB
36.55 IN3
51.56 IN3
23.10 IN2
41.25 IN2
16.59 IN4
193.36 IN4
Multi-Loaded Beamr 2000 International BuildinQ Code (97 NDS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:50:07 AM
Project: DCMARGENE - Location: ROOF 10
Summary:
3.5 IN x 7.5 IN x 3.0 FT 1#2 - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 27.3% Controlling Factor: Area I Depth Required 6.41 In
Center Span Deflections:
Dead Load: DLD-Center=
Live Load: LLD-Center=
Total Load: TLD-Center=
Center Span Left End Reactions (Support A):
Live Load: LL-Rxn-A=
Dead Load: DL-Rxn-A=
Total Load: TL-Rxn-A=
BearinQ LenQth Required (Beam only, support capacity not checked): BL-A=
Center Span RiQht End Reactions (Support B):
Live Load: LL-Rxn-B=
Dead Load: DL-Rxn-B=
Total Load: TL-Rxn-B=
Bearing Length Required (Beam only, support capacity not checked): BL-B=
Beam Data:
Center Span LenQth: L2=
Center Span Unbraced LenQth-Top of Beam: Lu2-Top=
Center Span Unbraced Length-Bottom of Beam: Lu2-Bottom=
Live Load Duration Factor: Cd=
Live Load Deflect. Criteria: U
Total Load Deflect. Criteria: U
Center Span Loading:
Uniform Load:
Live Load: wL-2= 210 PLF
Dead Load: wD-2= 90 PLF
Beam Self Weight: BSW= 6 PLF
Total Load: wT-2= 306 PLF
Point Load 1
Live Load: PL 1-2= 2800 LB
Dead Load: PD1-2= 1504 LB
Location (From left end of span): X1-2= 2.5 FT
Trapezoidal Load 1
Left Live Load: TRL-Left-1-2= 350 PLF
Left Dead Load: TRD-Left-1-2= 150 PLF
RiQht Live Load: TRL-RiQht-1-2= 350 PLF
RiQht Dead Load: TRD-Right-1-2= 150 PLF
Load Start: A-1-2= 1.0 FT
Load End: B-1-2= 2.5 FT
Load LenQth: C-1-2= 1.5 FT
Properties For: #2- DouQlas Fir-Larch (North)
BendinQ Stress: Fb= 850 PSI
Shear Stress: Fv= 95 PSI
Modulus of Elasticity: E= 1600000 PSI
Stress Perpendicular to Grain: Fcyerp= 625 PSI
Adjusted Properties
Fb' (Tension): Fb'= 1102 PSI
Adjustment Factors: Cd=1.00 CI=1.00 Cf=1.30
Fv':
Fv'=
Adiustment Factors: Cd=1.00
Design Requirements:
ControllinQ Moment:
2.46 Ft from left support of span 2 (Center Span)
Critical moment created by combining all dead loads and live loads on span(s) 2
ControllinQ Shear:
At a distance d from left support of span 2 (Center Span)
Critical shear created by combining all dead loads and live loads on span(s) 2
Comparisons With Required Sections:
Section Modulus (Moment):
M=
V=
Area (Shear):
Moment of Inertia (Deflection):
SreQ=
S=
Areq=
A=
Ireq=
1=
0.01 IN
0.01 IN = U3295
0.02 IN = U2195
1000 LB
489 LB
1489 LB
0.68 IN
2955 LB
1529 LB
4484 LB
2.05 IN
3.0 FT
2.0 FT
3.0 FT
1.00
360
240
95 PSI
2204 FT-LB
1306 LB
23.99 IN3
32.81 IN3
20.61 IN2
26.25 IN2
13.45 IN4
123.05 IN4
Multi-Loaded Beam[ 2000 International BuildinQ Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 10:52:59 AM
Project: DCMARGENE - Location: ROOF 11
Summary:
3.5 IN x 7.5 IN x 10.0 FT (8 + 2) 1#2 - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 131.8% Controlling Factor: Section Modulus I Depth Required 5.13 In
Center Span Deflections:
Dead Load: DLD-Center=
Live Load: LLD-Center=
Total Load: TLD-Center=
Right Cantilever Deflections:
Dead Load: DLD-RiQht=
Live Load: LLD-RiQht=
Total Load: TLD-Right=
Center Span Left End Reactions (Support A):
Live Load: LL-Rxn-A=
Dead Load: DL-Rxn-A=
Total Load: TL-Rxn-A=
BearinQ LenQth Required (Beam only, support capacity not checked): BL-A=
Center Span RiQht End Reactions (Support B):
Live Load: LL-Rxn-B=
Dead Load: DL-Rxn-B=
Total Load: TL-Rxn-B=
BearinQ LenQth Required (Beam only, support capacity not checked): BL-B=
Dead Load Uplift F.S.: FS=
Beam Data:
!_' Center Span LenQth: L2=
Center Span Unbraced LenQth-Top of Beam: Lu2-Top=
Center Span Unbraced Length-Bottom of Beam: Lu2-Bottom=
RiQht Cantilever LenQth: L3=
RiQht Cantilever Unbraced LenQth-Top of Beam: Lu3-Top=
RiQht Cantilever Unbraced Length-Bottom of Beam: Lu3-Bottom=
Live Load Duration Factor: Cd=
Live Load Deflect. Criteria: U
Total Load Deflect. Criteria: U
Center Span Loading:
Uniform Load:
Live Load: wL-2=
Dead Load: wD-2=
Beam Self Weight: BSW=
Total Load: wT-2=
RiQht Cantilever Loading:
Uniform Load:
Live Load: wL-3= 114 PLF
Dead Load: wD-3= 49 PLF
Beam Self Weight: BSW= 6 PLF
Total Load: wT-3= 169 PLF
Properties For: #2- DouQlas Fir-Larch (North)
BendinQ Stress: Fb= 850 PSI
Shear Stress: Fv= 95 PSI
Modulus of Elasticity: E= 1600000 PSI
Stress Perpendicular to Grain: Fc_perp= 625 PSI
Adjusted Properties
Fb' (Tension): Fb'= 1102 PSI
Adjustment Factors: Cd=1.00 CI=1.00 Cf=1.30
I
Fv':
Fv'=
Adjustment Factors: Cd=1.00
Design Requirements:
ControllinQ Moment:
3.92 Ft from left support of span 2 (Center Span)
Critical moment created by combining all dead loads and live loads on span(s) 2
ControllinQ Shear:
At a distance d from riQht support of span 2 (Center Span)
Critical shear created by combining all dead loads and live loads on span(s) 2, 3
Comparisons With Required Sections:
Section Modulus (Moment):
M=
V=
Area (Shear):
Moment of Inertia (Deflection):
Sreq=
S=
Areq=
A=
Ireq=
1=
0.02 IN
0.05 IN = U1799
0.08 IN = U1273
-0.01 IN
-0.04 IN = 2U1124
-0.06 IN = 2U838
456 LB
208 LB
664 LB
0.30 IN
713 LB
346 LB
1059 LB
0.48 IN
1.5
8.0 FT
2.0 FT
8.0 FT
2.0 FT
2.0 FT
2.0 FT
1.00
360
240
114 PLF
49 PLF
6 PLF
169 PLF
95 PSI
1300 FT-LB
625 LB
14.16 IN3
32.81 IN3
9.87 IN2
26.25 IN2
39.39 IN4
123.05 IN4
Multi-Loaded Beam[ 2000 International BuildinQ Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006: 10:54:28 AM
Project: DCMARGENE - Location: ROOF 12
Summary:
3.5 IN x 7.5 IN x 10.0 FT (8 + 2) 1#2 - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 137.1% Controlling Factor: Section Modulus I Depth Required 5.131n
Center Span Deflections:
Dead Load: DLD-Center=
Live Load: LLD-Center=
Total Load: TLD-Center=
Right Cantilever Deflections:
Dead Load: DLD-RiQht=
Live Load: LLD-RiQht=
Total Load: TLD-Right=
Center Span Left End Reactions (Support A):
Live Load: LL-Rxn-A=
Dead Load: DL-Rxn-A=
Total Load: TL-Rxn-A=
BearinQ LenQth Required (Beam only, support capacity not checked): BL-A=
Center Span RiQht End Reactions (Support B):
Live Load: LL-Rxn-B=
Dead Load: DL-Rxn-B=
Total Load: TL-Rxn-B=
BearinQ LenQth Required (Beam only, support capacity not checked): BL-B=
Dead Load Uplift F.S.: FS=
Beam Data:
Center Span LenQth: L2=
Center Span Unbraced LenQth-Top of Beam: Lu2-Top=
Center Span Unbraced Length-Bottom of Beam: Lu2-Bottom=
RiQht Cantilever LenQth: L3=
RiQht Cantilever Unbraced LenQth-Top of Beam: Lu3-Top=
RiQht Cantilever Unbraced Length-Bottom of Beam: Lu3-Bottom=
Live Load Duration Factor: Cd=
Live Load Deflect. Criteria: U
Total Load Deflect. Criteria: U
Center Span Loading:
Uniform Load:
Live Load: wL-2=
Dead Load: wD-2=
Beam Self Weight: BSW=
Total Load: wT-2=
RiQht Cantilever Loading:
Uniform Load:
Live Load: wL-3= 184 PLF
Dead Load: wD-3= 79 PLF
Beam Self Weight: BSW= 6 PLF
Total Load: wT-3= 269 PLF
Properties For: #2- DouQlas Fir-Larch (North)
BendinQ Stress: Fb= 850 PSI
Shear Stress: Fv= 95 PSI
Modulus of Elasticity: E= 1600000 PSI
Stress Perpendicular to Grain: Fc_perp= 625 PSI
Adjusted Properties
Fb' (Tension): Fb'= 1102 PSI
Adjustment Factors: Cd=1.00 CI=1.00 Cf=1.30
Fv':
Fv'=
Adjustment Factors: Cd=1.00
Design Requirements:
ControllinQ Moment:
3.84 Ft from left support of span 2 (Center Span)
Critical moment created by combining all dead loads and live loads on span(s) 2
ControllinQ Shear:
At a distance d from riQht support of span 2 (Center Span)
Critical shear created by combining all dead loads and live loads on span(s) 2, 3
Comparisons With Required Sections:
Section Modulus (Moment):
M=
V=
Area (Shear):
Moment of Inertia (Deflection):
Sreq=
S=
Areq=
A=
Ireq=
1=
0.02 IN
0.05 IN = L/1799
0.07 IN = L/1310
-0.01 IN
-0.04 IN = 2L/1124
-0.05 IN = 2U890
456 LB
200 LB
656 LB
0.30 IN
870 LB
414 LB
1284 LB
0.59 IN
1.5
8.0 FT
2.0 FT
8.0 FT
2.0 FT
2.0 FT
2.0 FT
1.00
360
240
114 PLF
49 PLF
6 PLF
169 PLF
95 PSI
1271 FT-LB
650 LB
13.84 IN3
32.81 IN3
10.26 IN2
26.25 IN2
39.39 IN4
123.05 IN4
Multi-Loaded Beam[ 2000 International BuildinQ Code (97 NOS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 11 :00:52 AM
Project: DCMARGENE - Location: ROOF 13
Summary:
3.51N x 7.5 IN x 6.5 FT 1#2 - DouQlas Fir-Larch (North) - Dry Use
Section Adequate By: 71.6% Controlling Factor: Section Modulus I Depth Required 5.72 In
Center Span Deflections:
Dead Load: DLD-Center=
Live Load: LLD-Center=
Total Load: TLD-Center=
Center Span Left End Reactions (Support A):
Live Load: LL-Rxn-A=
Dead Load: DL-Rxn-A=
Total Load: TL-Rxn-A=
BearinQ LenQth Required (Beam only, support capacity not checked): BL-A=
Center Span RiQht End Reactions (Support B):
Live Load: LL-Rxn-B=
Dead Load: DL-Rxn-B=
Total Load: TL-Rxn-B=
Bearing Length Required (Beam only, support capacity not checked): BL-B=
Beam Data:
Center Span Len~th: L2=
Center Span Unbraced LenQth-Top of Beam: Lu2-Top=
Center Span Unbraced Length-Bottom of Beam: Lu2-Bottom=
Live Load Duration Factor: Cd=
Live Load Deflect. Criteria: U
Total Load Deflect. Criteria: U
Center Span Loading:
Uniform Load:
Live Load: wL-2= 0 PLF
Dead Load: wD-2= 0 PLF
Beam Self Weight: BSW= 6 PLF
Total Load: wT-2= 6 PLF
Point Load 1
Live Load: PL1-2= 712 LB
Dead Load: PD1-2= 346 LB
Location (From left end of span): X1-2= 3.25 FT
Properties For: #2- DouQlas Fir-Larch (North)
BendinQ Stress: Fb= 850 PSI.
Shear Stress: Fv= 95 PSI
Modulus of Elasticity: E= 1600000 PSI
Stress Perpendicular to Grain: Fc_perp= 625 PSI
Adjusted Properties
Fb'(Tension): Fb'= 1100 PSI
Adjustment Factors: Cd=1.00 CI=1.00 Cf=1.30
~.
Fv':
Fv'=
Adjustment Factors: Cd=1.00
Design Requirements:
ControllinQ Moment:
3.25 Ft from left support of span 2 (Center Span)
Critical moment created by combining all dead loads and live loads on span(s) 2
ControllinQ Shear: .
At a distance d from riQht support of span 2 (Center Span)
Critical shear created by combining all dead loads and live loads on span(s) 2
Comparisons With Required Sections:
Section Modulus (Moment):
M=
V=
Area (Shear):
Moment of Inertia (Deflection):
Sreq=
S=
Areq=
A=
Ireq=
1=
0.02 IN
0.04 IN = U2182
0.05 IN = U1433
356 LB
194 LB
550 LB
0.25 IN
356 LB
194 LB
550 LB
0.25 IN
6.5 FT
3.25 FT
6.5 FT
1.00
360
240
95 PSI
1753 FT-LB
546 LB
19.12 IN3
32.81 IN3
8.62 IN2
26.25 IN2
20.61 IN4
123.05 IN4
r
.
. .
Roof Beam[ 2000 International Buildin~ Code (97 NDS) 1 Ver: 6.00.7
By: Charles Smith, Lindberg & Smith on: 05-17-2006 : 11 :01 :38 AM
Project: DCMARGENE - Location: ROOF 14
Summary:
3.5 IN x 9.25 IN x 11.5 FT / Select Structural - Dou~las Fir-Larch (North) - Dry Use
Section Adequate By: 97.0% Controlling Factor: Area / Depth Required 6.59 In
Deflections:
Dead Load:
Live Load:
Total Load:
Reactions (Each End):
Live Load:
Dead Load:
Total Load:
Bearing Length Required (Beam only, support capacity not checked):
Beam Data:
Span:
Maximum Unbraced Span:
Pitch Of Roof:
Live Load Deflect. Criteria:
Total Load Deflect. Criteria:
Roof Loadin~:
Roof Live Load-Side One:
Roof Dead Load-Side One:
Tributary Width-Side One:
Roof Live Load-Side Two:
Roof Dead Load-Side Two:
Tributary Width-Side Two:
Roof Duration Factor:
Beam Self Wei~ht:
Slope/Pitch Adjusted Len~ths and Loads:
Adjusted Beam Len~th:
Beam Uniform Live Load:
Beam Uniform Dead Load:
Total Uniform Load:
Properties For: Select Structural- Douglas Fir-Larch (North)
Bendin~ Stress:
Shear Stress:
Modulus of Elasticity:
Stress Perpendicular to Grain:
Adjusted Properties
Fb' (Tension):
Adjustment Factors: Cd=1.15 CI=1.00 Cf=1.20
DLD=
LLD=
TLD=
LL-Rxn=
DL-Rxn=
TL-Rxn=
BL=
L=
Lu=
RP=
U
U
LL1=
DL1=
TW1=
LL2=
DL2=
TW2=
Cd=
BSW=
Ladi=
wL=
wD adj=
-wT=
Fb=
Fv=
E=
Fc_perp=
Fb'=
Fv':
Fv'=
Adjustment Factors: Cd=1.15
Design Requirements:
Controllin~ Moment:
5.75 ft from left support
Critical moment created by combining all dead and live loads.
Controllin~ Shear:
At a distance d from support.
Critical shear created by combining all dead and live loads.
Comparisons With Required Sections:
Section Modulus (Moment):
Area (Shear):
Moment of Inertia (Deflection):
Sreq=
S=
Areq=
A=
Ireq=
1=
M=
0.07 IN
0.14 IN = U977
0.21 IN = U650
906 LB
454 LB
1360 LB
0.62 IN
11.5 FT
2.0 FT
4 : 12
240
180
35.0 PSF
15.0 PSF
2.0 FT
35.0 PSF
15.0 PSF
2.5 FT
1.15
8 PLF
11.5 FT
158 PLF
79 PLF
237 PLF
1350 PSI
95 PSI
1900000 PSI
625 PSI
1855 PSI
109 PSI
3910 FT-LB
1197 LB
25.30 IN3
49.91 IN3
16.43 IN2
32.38 IN2
63.89 IN4
230.84 IN4
V=